mathematics thesis bachelor

Senior Thesis

This page is for Undergraduate Senior Theses.  For Ph.D. Theses, see here .

A senior thesis is required by the Mathematics concentration to be a candidate for graduation with the distinction of High or Highest honors in Mathematics. See the document ‘ Honors in Mathematics ’ for more information about honors recommendations and about finding a topic and advisor for your thesis. With regards to topics and advisors: The document ‘ Faculty research areas ’ lists the research interests of current members of the Math Department.

So that Math Department senior theses can more easily benefit other undergraduate, we would like to exhibit more senior theses online (while all theses are available through Harvard University Archives, it would be more convenient to have them online). It is absolutely voluntary, but if you decide to give us your permission, please send an electronic version of your thesis to cindy@math. The format can be in order of preference: DVI, PS, PDF. In the case of submitting a DVI format, make sure to include all EPS figures. You can also submit Latex or MS word source files.

If you are looking for information and advice from students and faculty about writing a senior thesis, look at this document. It was compiled from comments of students and faculty in preparation for, and during, an information session. Let Wes Cain ([email protected]) know if you have any questions not addressed in the document.

Home > College of Natural Sciences > Mathematics > Mathematics Theses, Projects, and Dissertations

Mathematics Theses, Projects, and Dissertations

Theses/projects/dissertations from 2024 2024.

On Cheeger Constants of Knots , Robert Lattimer

Information Based Approach for Detecting Change Points in Inverse Gaussian Model with Applications , Alexis Anne Wallace

Theses/Projects/Dissertations from 2023 2023

DNA SELF-ASSEMBLY OF TRAPEZOHEDRAL GRAPHS , Hytham Abdelkarim

An Exposition of the Curvature of Warped Product Manifolds , Angelina Bisson

Jackknife Empirical Likelihood Tests for Equality of Generalized Lorenz Curves , Anton Butenko

MATHEMATICS BEHIND MACHINE LEARNING , Rim Hammoud

Statistical Analysis of Health Habits for Incoming College Students , Wendy Isamara Lizarraga Noriega

Reverse Mathematics of Ramsey's Theorem , Nikolay Maslov

Distance Correlation Based Feature Selection in Random Forest , Jose Munoz-Lopez

Constructing Hyperbolic Polygons in the Poincaré Disk , Akram Zakaria Samweil

KNOT EQUIVALENCE , Jacob Trubey

Theses/Projects/Dissertations from 2022 2022

SYMMETRIC GENERATIONS AND AN ALGORITHM TO PROVE RELATIONS , Diddier Andrade

The Examination of the Arithmetic Surface (3, 5) Over Q , Rachel J. Arguelles

Error Terms for the Trapezoid, Midpoint, and Simpson's Rules , Jessica E. Coen

de Rham Cohomology, Homotopy Invariance and the Mayer-Vietoris Sequence , Stacey Elizabeth Cox

Symmetric Generation , Ana Gonzalez

SYMMETRIC PRESENTATIONS OF FINITE GROUPS AND RELATED TOPICS , Samar Mikhail Kasouha

Simple Groups and Related Topics , Simrandeep Kaur

Homomorphic Images and Related Topics , Alejandro Martinez

LATTICE REDUCTION ALGORITHMS , Juan Ortega

THE DECOMPOSITION OF THE SPACE OF ALGEBRAIC CURVATURE TENSORS , Katelyn Sage Risinger

Verifying Sudoku Puzzles , Chelsea Schweer

AN EXPOSITION OF ELLIPTIC CURVE CRYPTOGRAPHY , Travis Severns

Theses/Projects/Dissertations from 2021 2021

Non-Abelian Finite Simple Groups as Homomorphic Images , Sandra Bahena

Matroids Determinable by Two Partial Representations , Aurora Calderon Dojaquez

SYMMETRIC REPRESENTATIONS OF FINITE GROUPS AND RELATED TOPICS , Connie Corona

Symmetric Presentation of Finite Groups, and Related Topics , Marina Michelle Duchesne

MEASURE AND INTEGRATION , JeongHwan Lee

A Study in Applications of Continued Fractions , Karen Lynn Parrish

Partial Representations for Ternary Matroids , Ebony Perez

Theses/Projects/Dissertations from 2020 2020

Sum of Cubes of the First n Integers , Obiamaka L. Agu

Permutation and Monomial Progenitors , Crystal Diaz

Tile Based Self-Assembly of the Rook's Graph , Ernesto Gonzalez

Research In Short Term Actuarial Modeling , Elijah Howells

Hyperbolic Triangle Groups , Sergey Katykhin

Exploring Matroid Minors , Jonathan Lara Tejeda

DNA COMPLEXES OF ONE BOND-EDGE TYPE , Andrew Tyler Lavengood-Ryan

Modeling the Spread of Measles , Alexandria Le Beau

Symmetric Presentations and Related Topics , Mayra McGrath

Minimal Surfaces and The Weierstrass-Enneper Representation , Evan Snyder

ASSESSING STUDENT UNDERSTANDING WHILE SOLVING LINEAR EQUATIONS USING FLOWCHARTS AND ALGEBRAIC METHODS , Edima Umanah

Excluded minors for nearly-paving matroids , Vanessa Natalie Vega

Theses/Projects/Dissertations from 2019 2019

Fuchsian Groups , Bob Anaya

Tribonacci Convolution Triangle , Rosa Davila

VANISHING LOCAL SCALAR INVARIANTS ON GENERALIZED PLANE WAVE MANIFOLDS , Brian Matthew Friday

Analogues Between Leibniz's Harmonic Triangle and Pascal's Arithmetic Triangle , Lacey Taylor James

Geodesics on Generalized Plane Wave Manifolds , Moises Pena

Algebraic Methods for Proving Geometric Theorems , Lynn Redman

Pascal's Triangle, Pascal's Pyramid, and the Trinomial Triangle , Antonio Saucedo Jr.

THE EFFECTIVENESS OF DYNAMIC MATHEMATICAL SOFTWARE IN THE INSTRUCTION OF THE UNIT CIRCLE , Edward Simons

CALCULUS REMEDIATION AS AN INDICATOR FOR SUCCESS ON THE CALCULUS AP EXAM , Ty Stockham

Theses/Projects/Dissertations from 2018 2018

PROGENITORS, SYMMETRIC PRESENTATIONS AND CONSTRUCTIONS , Diana Aguirre

Monomial Progenitors and Related Topics , Madai Obaid Alnominy

Progenitors Involving Simple Groups , Nicholas R. Andujo

Simple Groups, Progenitors, and Related Topics , Angelica Baccari

Exploring Flag Matroids and Duality , Zachary Garcia

Images of Permutation and Monomial Progenitors , Shirley Marina Juan

MODERN CRYPTOGRAPHY , Samuel Lopez

Progenitors, Symmetric Presentations, and Related Topics , Joana Viridiana Luna

Symmetric Presentations, Representations, and Related Topics , Adam Manriquez

Toroidal Embeddings and Desingularization , LEON NGUYEN

THE STRUGGLE WITH INVERSE FUNCTIONS DOING AND UNDOING PROCESS , Jesus Nolasco

Tutte-Equivalent Matroids , Maria Margarita Rocha

Symmetric Presentations and Double Coset Enumeration , Charles Seager

MANUAL SYMMETRIC GENERATION , Joel Webster

Theses/Projects/Dissertations from 2017 2017

Investigation of Finite Groups Through Progenitors , Charles Baccari

CONSTRUCTION OF HOMOMORPHIC IMAGES , Erica Fernandez

Making Models with Bayes , Pilar Olid

An Introduction to Lie Algebra , Amanda Renee Talley

SIMPLE AND SEMI-SIMPLE ARTINIAN RINGS , Ulyses Velasco

CONSTRUCTION OF FINITE GROUP , Michelle SoYeong Yeo

Theses/Projects/Dissertations from 2016 2016

Upset Paths and 2-Majority Tournaments , Rana Ali Alshaikh

Regular Round Matroids , Svetlana Borissova

GEODESICS IN LORENTZIAN MANIFOLDS , Amir A. Botros

REALIZING TOURNAMENTS AS MODELS FOR K-MAJORITY VOTING , Gina Marie Cheney

Solving Absolute Value Equations and Inequalities on a Number Line , Melinda A. Curtis

BIO-MATHEMATICS: INTRODUCTION TO THE MATHEMATICAL MODEL OF THE HEPATITIS C VIRUS , Lucille J. Durfee

ANALYSIS AND SYNTHESIS OF THE LITERATURE REGARDING ACTIVE AND DIRECT INSTRUCTION AND THEIR PROMOTION OF FLEXIBLE THINKING IN MATHEMATICS , Genelle Elizabeth Gonzalez

LIFE EXPECTANCY , Ali R. Hassanzadah

PLANAR GRAPHS, BIPLANAR GRAPHS AND GRAPH THICKNESS , Sean M. Hearon

A Dual Fano, and Dual Non-Fano Matroidal Network , Stephen Lee Johnson

Mathematical Reasoning and the Inductive Process: An Examination of The Law of Quadratic Reciprocity , Nitish Mittal

The Kauffman Bracket and Genus of Alternating Links , Bryan M. Nguyen

Probabilistic Methods In Information Theory , Erik W. Pachas

THINKING POKER THROUGH GAME THEORY , Damian Palafox

Indicators of Future Mathematics Proficiency: Literature Review & Synthesis , Claudia Preciado

Ádám's Conjecture and Arc Reversal Problems , Claudio D. Salas

AN INTRODUCTION TO BOOLEAN ALGEBRAS , Amy Schardijn

The Evolution of Cryptology , Gwendolyn Rae Souza

Theses/Projects/Dissertations from 2015 2015

SYMMETRIC PRESENTATIONS AND RELATED TOPICS , Mashael U. Alharbi

Homomorphic Images And Related Topics , Kevin J. Baccari

Geometric Constructions from an Algebraic Perspective , Betzabe Bojorquez

Discovering and Applying Geometric Transformations: Transformations to Show Congruence and Similarity , Tamara V. Bonn

Symmetric Presentations and Generation , Dustin J. Grindstaff

HILBERT SPACES AND FOURIER SERIES , Terri Joan Harris Mrs.

SYMMETRIC PRESENTATIONS OF NON-ABELIAN SIMPLE GROUPS , Leonard B. Lamp

Simple Groups and Related Topics , Manal Abdulkarim Marouf Ms.

Elliptic Curves , Trinity Mecklenburg

A Fundamental Unit of O_K , Susana L. Munoz

CONSTRUCTIONS AND ISOMORPHISM TYPES OF IMAGES , Jessica Luna Ramirez

Advanced Search

• Notify me via email or RSS
• Department, Program, or Office
• Disciplines

Author Corner

• Mathematics Department web site

A service of the John M. Pfau Library

Home | About | FAQ | My Account | Accessibility Statement

Privacy Copyright Acrobat Reader

• USF Research
• USF Libraries

Digital Commons @ USF > College of Arts and Sciences > Mathematics and Statistics > Theses and Dissertations

Mathematics and Statistics Theses and Dissertations

Theses/dissertations from 2024 2024.

The Effect of Fixed Time Delays on the Synchronization Phase Transition , Shaizat Bakhytzhan

On the Subelliptic and Subparabolic Infinity Laplacian in Grushin-Type Spaces , Zachary Forrest

Utilizing Machine Learning Techniques for Accurate Diagnosis of Breast Cancer and Comprehensive Statistical Analysis of Clinical Data , Myat Ei Ei Phyo

Quandle Rings, Idempotents and Cocycle Invariants of Knots , Dipali Swain

Comparative Analysis of Time Series Models on U.S. Stock and Exchange Rates: Bayesian Estimation of Time Series Error Term Model Versus Machine Learning Approaches , Young Keun Yang

Theses/Dissertations from 2023 2023

Classification of Finite Topological Quandles and Shelves via Posets , Hitakshi Lahrani

Applied Analysis for Learning Architectures , Himanshu Singh

Rational Functions of Degree Five That Permute the Projective Line Over a Finite Field , Christopher Sze

Theses/Dissertations from 2022 2022

New Developments in Statistical Optimal Designs for Physical and Computer Experiments , Damola M. Akinlana

Advances and Applications of Optimal Polynomial Approximants , Raymond Centner

Data-Driven Analytical Predictive Modeling for Pancreatic Cancer, Financial & Social Systems , Aditya Chakraborty

On Simultaneous Similarity of d-tuples of Commuting Square Matrices , Corey Connelly

Symbolic Computation of Lump Solutions to a Combined (2+1)-dimensional Nonlinear Evolution Equation , Jingwei He

Boundary behavior of analytic functions and Approximation Theory , Spyros Pasias

Stability Analysis of Delay-Driven Coupled Cantilevers Using the Lambert W-Function , Daniel Siebel-Cortopassi

A Functional Optimization Approach to Stochastic Process Sampling , Ryan Matthew Thurman

Theses/Dissertations from 2021 2021

Riemann-Hilbert Problems for Nonlocal Reverse-Time Nonlinear Second-order and Fourth-order AKNS Systems of Multiple Components and Exact Soliton Solutions , Alle Adjiri

Zeros of Harmonic Polynomials and Related Applications , Azizah Alrajhi

Combination of Time Series Analysis and Sentiment Analysis for Stock Market Forecasting , Hsiao-Chuan Chou

Uncertainty Quantification in Deep and Statistical Learning with applications in Bio-Medical Image Analysis , K. Ruwani M. Fernando

Data-Driven Analytical Modeling of Multiple Myeloma Cancer, U.S. Crop Production and Monitoring Process , Lohuwa Mamudu

Long-time Asymptotics for mKdV Type Reduced Equations of the AKNS Hierarchy in Weighted L 2 Sobolev Spaces , Fudong Wang

Online and Adjusted Human Activities Recognition with Statistical Learning , Yanjia Zhang

Theses/Dissertations from 2020 2020

Bayesian Reliability Analysis of The Power Law Process and Statistical Modeling of Computer and Network Vulnerabilities with Cybersecurity Application , Freeh N. Alenezi

Discrete Models and Algorithms for Analyzing DNA Rearrangements , Jasper Braun

Bayesian Reliability Analysis for Optical Media Using Accelerated Degradation Test Data , Kun Bu

On the p(x)-Laplace equation in Carnot groups , Robert D. Freeman

Clustering methods for gene expression data of Oxytricha trifallax , Kyle Houfek

Gradient Boosting for Survival Analysis with Applications in Oncology , Nam Phuong Nguyen

Global and Stochastic Dynamics of Diffusive Hindmarsh-Rose Equations in Neurodynamics , Chi Phan

Restricted Isometric Projections for Differentiable Manifolds and Applications , Vasile Pop

On Some Problems on Polynomial Interpolation in Several Variables , Brian Jon Tuesink

Numerical Study of Gap Distributions in Determinantal Point Process on Low Dimensional Spheres: L -Ensemble of O ( n ) Model Type for n = 2 and n = 3 , Xiankui Yang

Non-Associative Algebraic Structures in Knot Theory , Emanuele Zappala

Theses/Dissertations from 2019 2019

Field Quantization for Radiative Decay of Plasmons in Finite and Infinite Geometries , Maryam Bagherian

Probabilistic Modeling of Democracy, Corruption, Hemophilia A and Prediabetes Data , A. K. M. Raquibul Bashar

Generalized Derivations of Ternary Lie Algebras and n-BiHom-Lie Algebras , Amine Ben Abdeljelil

Fractional Random Weighted Bootstrapping for Classification on Imbalanced Data with Ensemble Decision Tree Methods , Sean Charles Carter

Hierarchical Self-Assembly and Substitution Rules , Daniel Alejandro Cruz

Statistical Learning of Biomedical Non-Stationary Signals and Quality of Life Modeling , Mahdi Goudarzi

Probabilistic and Statistical Prediction Models for Alzheimer’s Disease and Statistical Analysis of Global Warming , Maryam Ibrahim Habadi

Essays on Time Series and Machine Learning Techniques for Risk Management , Michael Kotarinos

The Systems of Post and Post Algebras: A Demonstration of an Obvious Fact , Daviel Leyva

Reconstruction of Radar Images by Using Spherical Mean and Regular Radon Transforms , Ozan Pirbudak

Analyses of Unorthodox Overlapping Gene Segments in Oxytricha Trifallax , Shannon Stich

An Optimal Medium-Strength Regularity Algorithm for 3-uniform Hypergraphs , John Theado

Power Graphs of Quasigroups , DayVon L. Walker

Theses/Dissertations from 2018 2018

Groups Generated by Automata Arising from Transformations of the Boundaries of Rooted Trees , Elsayed Ahmed

Non-equilibrium Phase Transitions in Interacting Diffusions , Wael Al-Sawai

A Hybrid Dynamic Modeling of Time-to-event Processes and Applications , Emmanuel A. Appiah

Lump Solutions and Riemann-Hilbert Approach to Soliton Equations , Sumayah A. Batwa

Developing a Model to Predict Prevalence of Compulsive Behavior in Individuals with OCD , Lindsay D. Fields

Generalizations of Quandles and their cohomologies , Matthew J. Green

Hamiltonian structures and Riemann-Hilbert problems of integrable systems , Xiang Gu

Optimal Latin Hypercube Designs for Computer Experiments Based on Multiple Objectives , Ruizhe Hou

Human Activity Recognition Based on Transfer Learning , Jinyong Pang

Signal Detection of Adverse Drug Reaction using the Adverse Event Reporting System: Literature Review and Novel Methods , Minh H. Pham

Statistical Analysis and Modeling of Cyber Security and Health Sciences , Nawa Raj Pokhrel

Machine Learning Methods for Network Intrusion Detection and Intrusion Prevention Systems , Zheni Svetoslavova Stefanova

Orthogonal Polynomials With Respect to the Measure Supported Over the Whole Complex Plane , Meng Yang

Theses/Dissertations from 2017 2017

Modeling in Finance and Insurance With Levy-It'o Driven Dynamic Processes under Semi Markov-type Switching Regimes and Time Domains , Patrick Armand Assonken Tonfack

Prevalence of Typical Images in High School Geometry Textbooks , Megan N. Cannon

On Extending Hansel's Theorem to Hypergraphs , Gregory Sutton Churchill

Contributions to Quandle Theory: A Study of f-Quandles, Extensions, and Cohomology , Indu Rasika U. Churchill

Linear Extremal Problems in the Hardy Space H p for 0 p , Robert Christopher Connelly

Statistical Analysis and Modeling of Ovarian and Breast Cancer , Muditha V. Devamitta Perera

Statistical Analysis and Modeling of Stomach Cancer Data , Chao Gao

Structural Analysis of Poloidal and Toroidal Plasmons and Fields of Multilayer Nanorings , Kumar Vijay Garapati

Dynamics of Multicultural Social Networks , Kristina B. Hilton

Cybersecurity: Stochastic Analysis and Modelling of Vulnerabilities to Determine the Network Security and Attackers Behavior , Pubudu Kalpani Kaluarachchi

Generalized D-Kaup-Newell integrable systems and their integrable couplings and Darboux transformations , Morgan Ashley McAnally

Patterns in Words Related to DNA Rearrangements , Lukas Nabergall

Time Series Online Empirical Bayesian Kernel Density Segmentation: Applications in Real Time Activity Recognition Using Smartphone Accelerometer , Shuang Na

Schreier Graphs of Thompson's Group T , Allen Pennington

Cybersecurity: Probabilistic Behavior of Vulnerability and Life Cycle , Sasith Maduranga Rajasooriya

Bayesian Artificial Neural Networks in Health and Cybersecurity , Hansapani Sarasepa Rodrigo

Real-time Classification of Biomedical Signals, Parkinson’s Analytical Model , Abolfazl Saghafi

Lump, complexiton and algebro-geometric solutions to soliton equations , Yuan Zhou

Theses/Dissertations from 2016 2016

A Statistical Analysis of Hurricanes in the Atlantic Basin and Sinkholes in Florida , Joy Marie D'andrea

Statistical Analysis of a Risk Factor in Finance and Environmental Models for Belize , Sherlene Enriquez-Savery

Putnam's Inequality and Analytic Content in the Bergman Space , Matthew Fleeman

On the Number of Colors in Quandle Knot Colorings , Jeremy William Kerr

Statistical Modeling of Carbon Dioxide and Cluster Analysis of Time Dependent Information: Lag Target Time Series Clustering, Multi-Factor Time Series Clustering, and Multi-Level Time Series Clustering , Doo Young Kim

Some Results Concerning Permutation Polynomials over Finite Fields , Stephen Lappano

Hamiltonian Formulations and Symmetry Constraints of Soliton Hierarchies of (1+1)-Dimensional Nonlinear Evolution Equations , Solomon Manukure

Modeling and Survival Analysis of Breast Cancer: A Statistical, Artificial Neural Network, and Decision Tree Approach , Venkateswara Rao Mudunuru

Generalized Phase Retrieval: Isometries in Vector Spaces , Josiah Park

Leonard Systems and their Friends , Jonathan Spiewak

Resonant Solutions to (3+1)-dimensional Bilinear Differential Equations , Yue Sun

Statistical Analysis and Modeling Health Data: A Longitudinal Study , Bhikhari Prasad Tharu

Global Attractors and Random Attractors of Reaction-Diffusion Systems , Junyi Tu

Time Dependent Kernel Density Estimation: A New Parameter Estimation Algorithm, Applications in Time Series Classification and Clustering , Xing Wang

On Spectral Properties of Single Layer Potentials , Seyed Zoalroshd

Theses/Dissertations from 2015 2015

Analysis of Rheumatoid Arthritis Data using Logistic Regression and Penalized Approach , Wei Chen

Active Tile Self-assembly and Simulations of Computational Systems , Daria Karpenko

Nearest Neighbor Foreign Exchange Rate Forecasting with Mahalanobis Distance , Vindya Kumari Pathirana

Statistical Learning with Artificial Neural Network Applied to Health and Environmental Data , Taysseer Sharaf

Radial Versus Othogonal and Minimal Projections onto Hyperplanes in l_4^3 , Richard Alan Warner

Ensemble Learning Method on Machine Maintenance Data , Xiaochuang Zhao

Theses/Dissertations from 2014 2014

Properties of Graphs Used to Model DNA Recombination , Ryan Arredondo

Advanced Search

• Email Notifications and RSS
• All Collections
• USF Faculty Publications
• Open Access Journals
• Conferences and Events
• Theses and Dissertations
• Textbooks Collection

Useful Links

• Mathematics and Statistics Department
• Rights Information
• SelectedWorks
• Submit Research

Home | About | Help | My Account | Accessibility Statement | Language and Diversity Statements

Privacy Copyright

Secondary Menu

• Math Intranet
• Senior Theses

2024 Senior Theses - Graduated with Distinction

Angikar ghosal.

Representation Theoretic Formulation of Quantum Error Correcting Codes Advisor: Robert Calderbank

Benjamin Goldstein

Soap-Film-Like Surfaces of Revolution Advisor: Demetre Kazaras

Noah Harris

Black Hole Thermodynamics, Large N Gauge Theories, and Deriving the AdS/CFT Correspondence Advisor: Paul Aspinwall

Long-Time Behavior of Some ODEs with Partial Damping Advisor: Kyle Liss

Aram Lindroth

Towards a Functional Equation for the $\mathbb{A}^1$-Logarithmic Zeta Function Advisor: Kirsten Wickelgren

Emmanuel Mokel

Monitoring Nonstationary Variance to Assess Convergence of Markov Chain Monte Carlo Advisor: Jonathan Mattingly

Nathan Nguyen

Towards Solving Variational Graphon Problem for Random Hypergraphs Advisor: Nicholas Cook

Nathanael Ong

On the Betti Numbers of Rank 2 Compact Locally Symmetric Spaces Advisor: Mark Stern

Jean-Luc Rabideau

Random Restrictions in the p-Biased Measure Advisor: Henry Pfister

Riki Shimizu

Unveil Sleep Spindles with Concentration of Frequency and Time (ConceFT) Advisor: Hau-Tieng Wu

December 2023

Quantum State Tomography via Tensor Ring Representation Advisor: Jianfeng Lu

Jesse Zhang

Answer Filtration with Filtration: Toward a Theory of Lifetime Filtration for Multiparameter Persistence Modules Advisor: Ezra Miller

Alex Burgin

The Schrodinger Maximal Function and Generalizations Advisor: Lillian Pierce

Nick Chakraborty

Improve Accuracy and Speed of Manifold Reconstruction and De-Noising from Scattered Data in R 2 Advisor: Hongkai Zhao

Jeffrey Cheng

Mixing in Measure Preserving Dynamical Systems Advisor: Tarek Elgindi

Carson Dudley

A Mathematical Model of a Peritoneal Staphylococcus Aureus infection Advisor: Anna Nelson

Riley Fisher

Pattern Formation in Evolving Domains Advisor: Tom Witelski

Multitaper Wave-Shape F-Test For Detecting Non-Sinusoidal Oscillations Advisor: Hau-Tieng Wu

Diffusing on multiple fibers Advisor: Ingrid Daubechies and Shira Faigenbaum

December 2022

Symmetric Formulas for Products of Permutations Advisor: Benjamin Rossman

A homotopic variant of policy gradients for the linear quadratic regulator problem Advisor: Andrea Agazzi

Nathan Geist

Homological algebra of modules over real polyhedral groups Advisor: Ezra Miller

Braden Hoagland

Percolation Processes on Dynamically Grown Graphs Advisor: Rick Durrett

Daniel Hwang

Analyzing the bistability of the minimally bistable ERK network using the discriminant locus Advisor: Maggie Regan

Wallace Peaslee

Dolbeault Cohomology of Non-Compact Metric Graphs Advisor: Joseph Rabinoff

Mathematical Modeling of TIE1 and Endothelial Metabolism Advisor: Michael Reed

December 2021

Some Mathematical Problems in Quantum Computing and Quantum Information Advisor: Robert Calderbank

Anuk Dayaprema

Solitons for the closed G2 Laplacian flow in the cohomogeneity-one setting Advisor: Mark Haskins

Ziyang Ding

At the Intersection of Deep Sequential and State-space Model Framework Advisor: Sayan Mukherjee

Lucas Fagan

Schur Polynomials and Crystal Graphs Advisor: Spencer Leslie

Resolving Simpson’s Paradox in NC Public School Grading System Advisor: Greg Herschlag

Phoebe Klett

Implementing non-canonical Sylvan Resolutions Advisor: Ezra Miller

Jianyou Wang

Deep Reinforcement Adaptive Computational Processor Advisor: Vahid Tarokh

Alex Damian

Theoretical Guarantees for Signal Recovery Advisor: Hau-tieng Wu

Blythe Davis

The Spherical Manifold Realization Problem Advisor: Faramarz Vafaee

Onkar Gujral

Khovanov Homology and Knot Concordance dvisor: Adam Levine

Xiayimei Han

Hodge Representations of Calabi-Yau 3 Folds Advisor:  Colleen Robles

Remy Kassem

Symmetry Detection of Unknown Volumes from Projected Variations Advisor: Xiuyuan Cheng

Joey Li

Algebraic Data Structures for Decomposing Multipersistence  Modules Advisor: Ezra Miller 

Evaluating Bayesian Convolutional Neural Networks in the Clinic Advisor: Paul Bendich

Jonathan Michala

Uniqueness of Ranked Pairs Advisor: Hubert Bray 

Benjamin Nativi

An Analogue of Gauss Composition for Binary Cubic Forms Advisor: Aaron Pollack

Computing Values of Symmetric Square L-Functions using Ichino's Pullback Formula Advisor: Aaron Pollack

Junmo Ryang

Embedding Lagrangian Surfaces Advisor: Robert Bryant

Irina Cristali

Poisson Percolation on the Square Lattice Advisors: Rick Durrett, Matthew Junge

Creating Musical Rubato Using Deep Learning Advisor: Ezra Miller

Zhenhua Liu

Stationary One-Sided Area Minimizing Hypersurfaces with Isolated Singularities Advisors: William Allard, Hubert Bray, Robert Bryant

Xueying Wang

Unfolding High-Dimensional Convex Polyhedra Advisor: Ezra Miller

Claire Wiebe

Analyzing the Effects of Partisan Correlation on Election Outcomes using Order Statistics Advisor: Jonathan Mattingly

Gaitling Zhou

Elliptic Curves over Dedekind Domains Advisor: William Pardon

(you can search for archived versions of these theses here )

• Surabhi Beriwal  Statistical analysis of fruit fly wing vein topology  (2018) [with E. Miller]
• Trung Can  The Heisenberg-Weyl Group, Finite Symplectic Geometry, and their applications   (2018) [with R. Calderbank]
• Feng Gui  On Calibrations for Area Minimizing Cones  (2018) with [H. Bray]
• Neel Kurupassery   Cryptographic Primitives in Artin Groups of Type I k (m)    (2018)  [with M. Abel]
• Eric Peshkin  T he quantification of markers of economic development from time-series satellite imagery using deep learning   (2018) with [with P. Bendich and D. Thomas]
• Weiyao Wang   Understanding Operator Reed-Muller Codes Through the Weyl Transform   (2018) [with R. Calderbank]
• Alexander Pieloch  The Topology of Moduli Spaces of Real Algebraic Curves  (2017) [with R. Hain]
• Samadwara Reddy  The Vietoris–Rips Complexes of Finite Subsets of an Ellipse of Small Eccentricity  (2017) [with H. Adams]
• Lindsey Brown  An Application of Abstract Algebra to the Neural Code for Sound Localization in Barn Owls  (2016) [with M. Reed]
• David Builes  The Large Cardinal Hierarchy  (2016) [with R. Hodel]
• Kyle Casey  Siegel Modular Forms  (2016) [with L. Saper]
• Bryan Runjing Liu  Modeling the Effects of Positive and Negative Feedback in Kidney Blood Flow Control  (2016) [with A. Layton]
• Francois Thelot A Maximum Entropy Based Approach for the Description of the Conformational Ensemble of Calmodulin from Paramagnetic NMR (2016) [with M. Maggioni and B. Donald]
• Will Victor  Efficient algorithms for Traffic Data Analysis  (2016)[computer science with P. Agarwal]
• Paul Ziquan Yang  Morphisms with Only Mild Singular Fibers and Bertini Theorems over Finite Fields  (2016) [with C. Schoen]
• Rex Zhitao Ying  Approximation Algorithms of Dynamic Time Warping and Edit Distance  (2016) [computer science with P. Agarwal]
• Roger Zou  Deformable Graph Model for Trackng Epithelial Cell Sheets in Florescence Microscopy  (2016)[computer science with C. Tomasi]
• Anne Talkington  Modeling the Dynamics of Cancerous Cells in vivo  (2015) [with R. Durrett]
• Rowena Gan  Geometry of Impressionist Music  (2015) [with E. Miller]
• David Hemminger  Augmentation Rank of Satellites with Braid Pattern  (2015) [with L. Ng and C. Cornwell]
• Mandy Jiang  Dynamic random network model for human papilloma virus transmission  (2015) [with M. Ryser]
• Hunter Nisonoff  Efficient Partition Function Estimatation in Computational Protein Design  (2015) [with M. Maggioni]
• Eugene Rabinovich  The Conformal Manifold in N=(2,2) SCFTs    (2015)  [physics  with R. Plesser]
• Marshall Ratliff  Introducing the Cover tree to Music Information Retrieval  (2015) [with P. Bendich]
• Brett Schnobrich  Heisenberg-Weyl Group, Subspace Packings, and Image Processing  (2015) [with R. Calderbank]
• Christy Vaughn  Stochastic Study of Gerrymandering  (2015) [with J. Mattingly]
• Aashiq Dheeraj  A Stochastic Spatial Model for Tumor Growth  (2014) [with R. Durrett]
• Joshua Izzard  Rank p 2  Representations of Semisimple Lie Algebras  (2014) [with J. Getz]
• Kathleen Lan  Coalescing random walks on n-block Markov chains  (2014) [with K. McGoff]
• Leslie Lei Lei  Infinite Swapping Simulated Tempering  (2014) [with J. Lu]
• Julia Ni  A convex approach to tree-based wavelet compression  (2014) [with A. Thompson]
• Jiarou Ivy Shen  Merge times and hitting times of time-inhomogeneous Markov chains  (2014) [with D. Sivakoff]
• Daniel Stern  Low-Order Lagrangians Depending on a Metric and a Matter Field of Arbitrary Rank  (2014) [with H. Bray]
• Daniel Vitek  Knot Contact Homology and the Augmentation Polynomial  (2014) [with C. Cornwell]
• Alexander Wertheim  Complex Multiplication on Elliptic Curves  (2014) [with L. Saper]
• Luxi Wei  Modeling Credit Risk using Rating and Environmental Factors  (2014) [with R. Durrett]
• Timothy Chang  On the existence of a simple winning strategy in the T(4.3) knot game  (2013) [with D. Herzog]
• Conrad de Peuter  Modeling basketball games as alternating renewal-reward processes and predicting match outcomes  (2013) [with R. Durrett]
• Bryan Jacobson  A practical approximation of persistent local homology  (2013) [with P. Bendich]
• Kara Karpman  Simulating mucociliary transport using the method of regularized Stokelets  (2013) [with A. Layton]
• Carmen Lopez  Modeling the folate pathway in Escherichia coli  (2013) [with A. Layton]
• James Mallernee  Strategy and honesty based comparison of preferential ballot voting methods  (2013) [with H. Bray]
• William Zhang  Evolutionary dynamics in host pathogen model  (2013) [with R. Durrett]
• Ben Bellis  Investigation of a Local Computation of the Signature from the Triangulation of a Manifold  (2012) [with M. Stern]
• Adrian Chan  Pricing financial derivatives with multi-task machine learning and mixed effects method  (2012) [with J. Bouvrie]
• Kyu Won Choi  Relative contributions of common jumps in realized correlations  (2012) [with A. Petters]
• Veronica Ciocanel  Analysis of the nonlinear dynamics of the forced planar string pendulum  (2012) [with T. Witelski]
• Kaveh Danesh  A branching process model of ovarian cancer  (2012) [with R. Durrett]
• Theo Frehlinghuysen  Carbon sequestration via forest management techniques  (2012) [with D. Kraines]
• Yingyi Shen  A study of edge toric ideals using associated graphs  (2012) [with S. Mapes]
• Daniel Thielman  Complex-balanced steady state of chemical reaction networks that contain an Eulerian cycle  (2012) [with C. Berkesch]
• Kaitlin Daniels  Noise driven Transitions between stable equilibria in stochastic dynamical systems  (2011) [with A. Athreya]
• Alan Guo  Lattice point methods for combinatorial games  (2011) [with E. Miller]
• Nils Hultgren  Centrality and network analysis: A perturbative approach to dynamical importance  (2011) [with I. Matic]
• Hans Kist  Estimating carbon sequestration potential in the boreal forests  (2011) [with D. Kraines]
• Misha Lavrov  Invariants in Legendrian links in the solid torus  (2011) [with D. Rutherford]
• Philip Pham  Tubuloglomerular feedback signal transduction in the loops of Henle  (2011) [with A. Layton]
• Thames Sae Sue  A simple cardiac model exhibiting stationary discordant alternans  (2011) [with D. Schaeffer]
• Max Tabachnik  An analysis of preferential ballot voting methods  (2011) [with H. Bray]
• Bo Waggoner  A model of the foot and ankle in running  (2011) [with E. Bouzarth]
• Wutichai Chongchitmate  Classification of Legendrian knots and links  (2010) [with L. Ng]
• Jason D. Lee  Multiscale analysis of dynamic graphs  (2010) [with M. Maggioni]
• Jeremy Semko  Statistical analysis simulations of coarsening droplets coating a hydrophobic surface  (2010) [with T. Witelski]
• Amy Wen  Model of feedback-mediated dynamics of coupled nephrons with compliant thick ascending limbs  (2010) [with A. Layton]
• Jason Ferguson  Factorization of Primes in Biquadratic Extensions of Q  (2009) [with C. Schoen]
• Jared Haftel  A Closer Look at ADC multivariate GARCH  (2009) [with M. Huber]
• Mark Hallen  Improving accuracy and scope of quantitative FRAP analysis  (2009) [with A. Layton]
• Andy Ng  Retinoid Transport in the Vision cycle  (2009) [with J. Mercer]
• Aaron Pollack  Relations between special derivations arising from modular forms  (2009) [with R. Hain]
• Jesse Thorner  Simplicial homology and DeRham’s theorem  (2009) [with W. Allard]
• Barry Wright III  Objective measures of preferential ballot voting systems  (2009) [with H. Bray]
• Michael Bauer  Existence and stability of patterns arising from square wave forcing of the damped Mathieu equation  (2008) [with A. Catlla]
• Tirasan Khandhawit  On Legandrean and transverse knots  (2008) [with L. Ng]
• Aalok Shah  An overview of fast marching and optimal control methods for trajectory optimization  (2008) [with W. Allard]
• Charles Staats III  Application of discrete geometry to the construction of Laurent-rational zeros  (2008) [with S. Sharif]
• Elliott Wolf  Computational pathways to Godel’s first incompletness theorem  (2008) [with R. Hodel]
• Lingen Zhang  The motion of sets of vortices  (2008) [with T. Witelski]
• Morgan Brown  An algorithm for tracking persistence pairing of a discrete homotopy of Morse functions on S 2   (2007) [with J.Harer]
• Brandon Levin  Class field theory and the problem of representing primes by binary quadratic forms  (2007) [with L. Saper]
• Stepan Paul  Lines and conics relative to degenerating divisors in CP 2   (2007) [with J. Davis]
• James Zou  3-D reconstruction and topological analysis of root architecture  (2007) [with J. Harer]
• Pradeep Baliga  Dynamic cellular automata model of toll plaza traffic flows  (2006) [with W. G. Mitchener]
• Adam Chandler  Dynamic cellular automata model of toll plaza traffic flows  (2006) [with W. G. Mitchener]
• Matthew Fischer  Mapping model of cardiac-membrane dynamics  (2006) [with D. Schaeffer]
• Qinzheng Tian  Simulation of Newtonian fluid flow between rotating cylinders  (2006) [with T. Witelski]
• Yee Lok Wong  Models of instant runoff voting  (2006) [with J. Mattingly]
• Oaz Nir  Mechanical arms and algebraic topology  (2005) [with J.Harer]
• Mayank Varia  Explicit calculation of the L invariant for Kummer surfaces  (2005) [with J. Hanke]
• David Arthur  On the higher Hasse-Witt matrices and related in variants  (2004) [with W. Pardon]
• Suzy Borgschulte  A mathematical approach to the panting of dogs  (2004) [with M. Reed]
• Lauren M. Childs  Scaling population dynamics from the macroscopic to the microscopic  (2004) [with T. Kepler]
• Ryan Letchworth  Wavelet methods for numerical solutions of differential equations  (2004) [with S. Roudenko]
• David Marks  Coadjoint orbits and geometric quantization  (2004) [with M.R. Plesser]
• Lori Peacock  Distributions of the small eigenvalues of Wishart matrices  (2004) [with B. Rider]
• Lindsay C. Piechnik  Smooth reflexive 4-polytopes have quadratic triangulations  (2004) [with C. Haase]
• Matthew Toups  A solution to the D0-D4 system of equations  (2004) [with M. Stern]
• Jenna VanLiere  Mathematically modelling the growth and diversification of T-cell populations  (2004) [with T. Kepler]
• Matthew J. Atwood  Evaluating singular and nearly singular integrals numerically  (2003) [with J.T. Beale]
• Marie Guerraty  Controlling alternans in a cardiac map model  (2003) [with M. Romeo]
• Meredith C. Houlton  Classification of critical curves and preliminary analysis of caustics  (2003) [with A. Petters]
• Steven R. Nicklas  Envy and satisfaction in the public goods game  (2003) [with D. Kraines]
• Dane R. Voris  A numerical approach to the M t /M t /N t  queue with abandonment  (2003) [with B. Rider]
• Melanie Wood  Invariants and relations of the action of the absolute Galois group on dessins d’enfants and the algebraic fundamental group of the punctured sphere  (2003) [with R. Hain]
• Thomas W. Finley  Efficient Myrinet routing  (2002) [with W. Allard]
• Samuel W. Malone  Alternative Price Processes for Black-Scholes: Empirical Evidence and Theory  (2002) [with A. Petters]
• Carl Miller  Exponential Iterated Integrals and the Solvable Completion of Fundamental Groups  (2001) [with R. Hain]
• Daniel Neill  Optimality under Noise: Higher Memory Strategies for the Alternating Prisoner’s Dilemma  (2001) Computer Science [with D. Kraines]
• Luis Von Ahn  Models of the language of set theory and Zermelo Frankel axioms  (2000) [with R. Hodel]
• Christopher Beasley  Superconformal theories from Branes at Singularities  (1999) Physics [with R. Plesser]
• Alexander Brodie  Measurable Cardinals  (1999) [with R. Hodel]
• Jeffrey DiLisi  The Biology and Mathematics of the Hypothalamic-Pituitary-Testicular Axis  (1999) [with M. Reed]
• Garrett Mitchener  Lattices and Sphere Packing  (1999) [with R. Hain]
• Andrew O. Dittmer  Generalized Formulas for Circular Polygons  (1998) [with R. Hain]
• Richard R. Schneck  Set Theory and Cardinal Arithmetic  (1997) [with R. Hodel]
• Tung T. Tran  Counting Independent Subsets in Nearly Regular Graphs  (1997) [with G. Lawler]
• Paul A. Dreyer  Knot theory and the human pretzel game  (1995) [with J. Harer]
• Paul J. Koss  Effects of noise on the iterated prisoner’s dilemma  (1995) [with D. Kraines]
• Jeff Vanderkam  Eigenfunctions of an acoustic system  (1994) [with T. Beale]
• Linie Chang  Mathematics and immunology: Modeling antigen and antibody interactions  (1993) [with M. Reed]
• Sang H. Chin  Action of the Torelli group on the 3-fold cover of G-hole torus  (1993) [with R. Hain]
• Jennifer Slimowitz  Transitions of gaps between the integers N satisfying N q < j (1993) [with M. Reed]
• David Jones  Primality testing, factoring and continued fractions  (1992) [with C. Schoen]
• Will Schneeberger  The axiom diamond  (1992) [with J. Shoenfield]
• Jeanne Nielsen  Triply periodic minimal surfaces in  R 3  (1991) [with R. Bryant
• Diversity, Equity and Inclusion
• Department Leadership
• Collaborations & Partnerships
• Location & Directions
• Feedback for Math department
• Math for Non-Majors
• Math Careers
• Non-research Independent Study
• Research Independent Study
• Julia Dale Prize
• Mathematical Research Award
• Karl Menger Award
• Excellence in Community Service Award
• Major Scholarships
• Transfer Credits
• Study Abroad
• Analysis of preconditioned stochastic gradient descent with non-convex loss
• Moduli spaces of stable weighted hyperplane arrangements
• Computing hyperbolic structures from link diagrams
• Automated theorem proving and proof verification
• Applications of Neumann-type nonlocal boundary condition
• Spatial and Temporal Epidemic Prediction by Neural Networks
• Structure and stability for Brascamp–Lieb inequalities
• Mathematical questions arising from the COVID epidemic
• Exploring minimal surfaces modulo p
• Modeling the dynamics of filter fouling
• Smoothness of subspace-valued maps
• Holonomy of combinatorial surfaces
• Characterizing emerging features in cell dynamics
• Parameter interference in epidemiological models
• Calculus of variations and notions of convexity
• Topological insulators
• Mathematical clairvoyant: computational inverse problems
• DOmath 2020
• DOmath 2019
• DOmath 2018
• DOmath 2017
• Undergraduate Research Symposium
• Other Summer Programs
• PRUV 2020 Reports
• PRUV Fellows
• Duke Math Meet
• Math Competition Honors
• Peer Tutoring
• Private Tutoring
• Mentoring for Women
• TA + Help Room applications
• Trinity Ambassadors
• Application Advice
• How to Apply
• Qualifying Requirement
• Preliminary Exam
• Dissertation & Defense
• Concurrent Degree Programs
• Advice & Perspective
• Summer Opportunities
• Applying for Jobs
• Fellowships and Grants
• Graduate Student Leadership
• PhD Advising
• Living in Durham
• Graduate Program Faculty
• Recent Graduates
• Rudin Prize
• L.P. Smith Award
• All Courses
• Enrollment Policies
• Placement Guidelines
• Math Advanced Placement Tests
• Typical Initial Course Sequences
• Calculus Self-Assessments
• Frequently Asked Questions
• Courses by Math Fields
• Courses by Career and Interests
• Foundational Courses for Graduate Students
• Minicourses
• Primary Faculty
• Secondary Faculty
• Postdoctoral Fellows
• Emeritus Faculty
• Graduate Students
• Faculty Honors & Awards
• Algebra & Combinatorics
• Biological Modeling
• Computational Mathematics
• Geometry: Differential & Algebraic
• Mathematical Physics
• Number Theory
• PDE & Dynamical Systems
• Physical Modeling
• Probability
• Signals, Images and Data
• Greater Mathematical Sciences
• Selected Faculty Books
• Graduate Student Publications
• NCM24: New Connections in Math 2024
• Previous Projects
• Past Undergrad Research Events
• Graduate Research & Activities
• RTG: Number Theory
• TRIPODS@Duke
• Algebraic Geometry
• Applied Math & Analysis
• Combinatorics
• Data Dialogue
• Frontiers in Mathematics
• Geometry & Topology
• Past Gergen Lecture Speakers
• Graduate-Faculty Talks
• Machine Learning
• Mathematical Biology
• Professional Development
• Public Lectures
• String Theory
• Triangle Topology
• Undergraduate Events
• For Current Students
• Assisting Duke Students

• Skip to main content
• Skip to primary site menu

Department of Mathematics

Senior theses.

An undergraduate thesis is a singly-authored mathematics document, usually between 10 and 80 pages, on some topic in mathematics. The thesis is typically a mixture of exposition of known mathematics and an account of your own research.  

To write an undergraduate thesis, you need to find a faculty advisor who will sponsor your project. The advisor will almost surely be a faculty member of the pure math department, though on occasion we have accepted theses written by people with applied math advisors. In these rare cases, the theses have been essentially pure math theses.

Explore Brown University

• Senior Thesis

A thesis is a more ambitious undertaking than a project. Most thesis writers within Applied Mathematics spend two semesters on their thesis work, beginning in the fall of senior year.  Students typically enroll in Applied Mathematics 91r or 99r (or Economics 985, if appropriate) during each semester of their senior year.  AM 99r is graded on a satisfactory/unsatisfactory basis.  Some concentrators will have completed their programs of study before beginning a thesis; in situations where this is necessary, students may take AM 91r for letter-graded credit, for inclusion in Breadth section (v) of the plan of study.  In the spring semester, the thesis itself may serve as the substantial paper on which the letter grade is based.  Econ 985 is also letter-graded, and may be included in the Breadth section of the plan of study in place of AM 91r.

Another, somewhat uncommon option, is that a project that meets the honors modeling requirement (either through Applied Mathematics 115 or 91r) can be extended to a thesis with about one semester of work.  Obviously the more time that is spent on the thesis, the more substantial the outcome, but students are encouraged to write a thesis in whatever time they have. It is an invaluable academic experience.

The thesis should make substantive use of mathematical, statistical or computational modeling,  though the level of sophistication will vary as appropriate to the particular problem context.  It is expected that conscientious attention will be paid to the explanatory power of mathematical modeling of the phenomena under study, going beyond data analysis to work to elucidate questions of mechanism and causation rather than mere correlation. Models should be designed to yield both understanding and testable predictions. A thesis with a suitable modeling component will automatically satisfy the English honors modeling requirement; however a thesis won't satisfy modeling Breadth section (v) unless the student also takes AM 91r or Econ 985.

Economics 985 thesis seminars are reserved for students who are writing on an economics topic. These seminars are full courses for letter-graded credit which involve additional activities beyond preparation of a thesis. They are open to Applied Mathematics concentrators with suitable background and interests.

Students wishing to enroll in AM 99r or 91r should follow the application instructions on my.harvard.

Thesis Timeline

The timeline below is for students graduating in May. The thesis deadline for May 2024 graduates is Monday, April 1 at 2:00PM. For off-cycle students, a similar timeline applies, offset by one semester. The thesis due date for March 2025 graduates is Friday, November 22, 2024. Late theses are not accepted.

Mid to late August:

Students often find a thesis supervisor by this time, and work with their supervisor to identify a thesis problem. Students may enroll in Econ 985 (strongly recommended when relevant), AM 91r, or AM 99r to block out space in their schedule for the thesis.

Early December:

All fourth year concentrators are contacted by the Office of Academic Programs. Those planning to submit a senior thesis are requested to supply certain information. This is the first formal interaction with the concentration about the thesis.

Mid-January:

A tentative thesis title approved by the thesis supervisor is required by the concentration.

Early February:

The student should provide the name and contact information for a recommended second reader, together with assurance that this individual has agreed to serve. Thesis readers are expected to be teaching faculty members of the Faculty of Arts and Sciences or SEAS. Exceptions to this requirement must be first approved by the Directors, Associate Director, or Assistant Director of Undergraduate Studies. For AM/Economics students writing a thesis on a mathematical economics topic for the March thesis deadline, the second reader will be chosen by the Economics Department. For AM/Economics students writing for the November deadline, the student should recommend the second reader.

On the thesis due date:

Thesis due at 2pm. Late theses are not accepted. Electronic copies in PDF format should be delivered by the student to the two readers and to [email protected] (which will forward to the Directors of Undergraduate Studies, Associate and Assistant Director of Undergraduate Studies) on or before that date and time. An electronic copy should also be submitted via the SEAS  online submission tool  on or before that date. SEAS will keep this electronic copy as a non-circulating backup and will use it to print a physical copy of the thesis to be deposited in the Harvard University Archives. During this online submission process, the student will also have the option to make the electronic copy publicly available via DASH, Harvard’s open-access repository for scholarly work.

Contemporaneously, the two readers will receive a rating sheet to be returned to the Office of Academic Programs before the beginning of the Reading Period, together with their copy of the thesis and any remarks to be transmitted to the student.

The Office of Academic Programs will send readers' comments to the student in late May, after the degree meeting to decide honors recommendations.

Thesis Readers

The thesis is evaluated by two readers, whose roles are further delineated below.  The first reader is the thesis adviser.  The second and reader is recommended by the student and adviser, who should secure the agreement of the individual concerned to serve in this capacity.  The reader must be approved by the Directors, Associate Director, or Assistant Director of Undergraduate Studies.  The second reader is normally are teaching members of the Faculty of Arts and Sciences, but other faculty members or comparable professionals will usually be approved, after being apprised of the responsibilities they are assuming.   For theses in mathematical economics, the choice of the second reader is made in cooperation with the Economics department.  The student and thesis adviser will be notified of the designated second reader by mid-March.

The roles of the thesis adviser and of the outside reader are somewhat different.  Ideally, the adviser is a collaborator and the outside reader is an informed critics.  It is customary for the adviser's report to comment not only on the document itself but also on the background and context of the entire effort, elucidating the overall accomplishments of the student.  The supervisor may choose to comment on a draft of the thesis before the final document is submitted, time permitting.  The outside reader is being asked to evaluate the thesis actually produced, as a prospective scientific contribution — both as to content and presentation.  The reader may choose to discuss their evaluation with the student, after the fact, should that prove to be mutually convenient.

The thesis should contain an informative abstract separate from the body of the thesis.  At the degree meeting, the Committee on Undergraduate Studies in Applied Mathematics will review the thesis, the reports from the two readers and the student’s academic record. The readers (and student) are told to assume that the Committee consists of technical professionals who are not necessarily conversant with the subject matter of the thesis so their reports should reflect this audience.

The length of the thesis should be as long as it needs to be to make the arguments made, but no longer!

Thesis Examples

The most recent thesis examples across all of SEAS can be found on the Harvard DASH (Digital Access to Scholarship at Harvard) repository . Search the FAS Theses and Dissertations collection for "applied mathematics" to find dozens of examples.

Note: Additional samples of old theses can be found in McKay Library. Theses awarded Hoopes' Prizes can be found in Lamont Library.

Recent thesis titles

Theses submitted in 2021.

Theses submitted in 2020

Theses submitted in 2019

Theses submitted in 2018 

Senior Thesis Submission Information for A.B. Programs

Senior A.B. theses are submitted to SEAS and made accessible via the Harvard University Archives and optionally via  DASH  (Digital Access to Scholarship at Harvard), Harvard's open-access repository for scholarly work.

In addition to submitting to the department and thesis advisors & readers, each SEAS senior thesis writer will use an online submission system to submit an electronic copy of their senior thesis to SEAS; this electronic copy will be kept at SEAS as a non-circulating backup. Please note that the thesis won't be published until close to or after the degree date. During this submission process, the student will also have the option to make the electronic copy publicly available via DASH.  Basic document information (e.g., author name, thesis title, degree date, abstract) will also be collected via the submission system; this document information will be available in  HOLLIS , the Harvard Library catalog, and DASH (though the thesis itself will be available in DASH only if the student opts to allow this). Students can also make code or data for senior thesis work available. They can do this by posting the data to the Harvard  Dataverse  or including the code as a supplementary file in the DASH repository when submitting their thesis in the SEAS online submission system.

Whether or not a student opts to make the thesis available through DASH, SEAS will provide an electronic record copy of the thesis to the Harvard University Archives. The Archives may make this record copy of the thesis accessible to researchers in the Archives reading room via a secure workstation or by providing a paper copy for use only in the reading room.  Per University policy , for a period of five years after the acceptance of a thesis, the Archives will require an author’s written permission before permitting researchers to create or request a copy of any thesis in whole or in part. Students who wish to place additional restrictions on the record copy in the Archives must contact the Archives  directly, independent of the online submission system. 

Students interested in commercializing ideas in their theses may wish to consult Dr. Fawwaz Habbal , Senior Lecturer on Applied Physics, about patent protection. See Harvard's policy for information about ownership of software written as part of academic work.

In Applied Mathematics

• First-Year Exploration
• Areas of Application
• AM & Economics
• How to Declare
• Who are my Advisors?
• Secondary Field
• Research for Course Credit (AM 91R & AM 99R)
• AB/SM Information
• Peer Concentration Advisors (PCA) Program
• Student Organizations
• How to Apply
• PhD Timeline
• PhD Model Program (Course Guidelines)
• Oral Qualifying Examination
• Committee Meetings
• Committee on Higher Degrees
• Research Interest Comparison
• Collaborations
• Cross-Harvard Engagement
• Clubs & Organizations
• Centers & Initiatives
• Alumni Stories

BYU ScholarsArchive

Home > Physical and Mathematical Sciences > Mathematics Education > Theses and Dissertations

Mathematics Education Theses and Dissertations

Theses/dissertations from 2024 2024.

New Mathematics Teachers' Goals, Orientations, and Resources that Influence Implementation of Principles Learned in Brigham Young University's Teacher Preparation Program , Caroline S. Gneiting

Theses/Dissertations from 2023 2023

Impact of Applying Visual Design Principles to Boardwork in a Mathematics Classroom , Jennifer Rose Canizales

Practicing Mathematics Teachers' Perspectives of Public Records in Their Classrooms , Sini Nicole White Graff

Parents' Perceptions of the Importance of Teaching Mathematics: A Q-Study , Ashlynn M. Holley

Engagement in Secondary Mathematics Group Work: A Student Perspective , Rachel H. Jorgenson

Theses/Dissertations from 2022 2022

Understanding College Students' Use of Written Feedback in Mathematics , Erin Loraine Carroll

Identity Work to Teach Mathematics for Social Justice , Navy B. Dixon

Developing a Quantitative Understanding of U-Substitution in First-Semester Calculus , Leilani Camille Heaton Fonbuena

The Perception of At-Risk Students on Caring Student-Teacher Relationships and Its Impact on Their Productive Disposition , Brittany Hopper

Variational and Covariational Reasoning of Students with Disabilities , Lauren Rigby

Structural Reasoning with Rational Expressions , Dana Steinhorst

Student-Created Learning Objects for Mathematics Renewable Assignments: The Potential Value They Bring to the Broader Community , Webster Wong

Theses/Dissertations from 2021 2021

Emotional Geographies of Beginning and Veteran Reformed Teachers in Mentor/Mentee Relationships , Emily Joan Adams

You Do Math Like a Girl: How Women Reason Mathematically Outside of Formal and School Mathematics Contexts , Katelyn C. Pyfer

Developing the Definite Integral and Accumulation Function Through Adding Up Pieces: A Hypothetical Learning Trajectory , Brinley Nichole Stevens

Theses/Dissertations from 2020 2020

Mathematical Identities of Students with Mathematics Learning Dis/abilities , Emma Lynn Holdaway

Teachers' Mathematical Meanings: Decisions for Teaching Geometric Reflections and Orientation of Figures , Porter Peterson Nielsen

Student Use of Mathematical Content Knowledge During Proof Production , Chelsey Lynn Van de Merwe

Theses/Dissertations from 2019 2019

Making Sense of the Equal Sign in Middle School Mathematics , Chelsea Lynn Dickson

Developing Understanding of the Chain Rule, Implicit Differentiation, and Related Rates: Towards a Hypothetical Learning Trajectory Rooted in Nested Multivariation , Haley Paige Jeppson

Secondary Preservice Mathematics Teachers' Curricular Reasoning , Kimber Anne Mathis

“Don’t Say Gay. We Say Dumb or Stupid”: Queering ProspectiveMathematics Teachers’ Discussions , Amy Saunders Ross

Aspects of Engaging Problem Contexts From Students' Perspectives , Tamara Kay Stark

Theses/Dissertations from 2018 2018

Addressing Pre-Service Teachers' Misconceptions About Confidence Intervals , Kiya Lynn Eliason

How Teacher Questions Affect the Development of a Potential Hybrid Space in a Classroom with Latina/o Students , Casandra Helen Job

Teacher Graphing Practices for Linear Functions in a Covariation-Based College Algebra Classroom , Konda Jo Luckau

Principles of Productivity Revealed from Secondary Mathematics Teachers' Discussions Around the Productiveness of Teacher Moves in Response to Teachable Moments , Kylie Victoria Palsky

Theses/Dissertations from 2017 2017

Curriculum Decisions and Reasoning of Middle School Teachers , Anand Mikel Bernard

Teacher Response to Instances of Student Thinking During Whole Class Discussion , Rachel Marie Bernard

Kyozaikenkyu: An In-Depth Look into Japanese Educators' Daily Planning Practices , Matthew David Melville

Analysis of Differential Equations Applications from the Coordination Class Perspective , Omar Antonio Naranjo Mayorga

Theses/Dissertations from 2016 2016

The Principles of Effective Teaching Student Teachershave the Opportunity to Learn in an AlternativeStudent Teaching Structure , Danielle Rose Divis

Insight into Student Conceptions of Proof , Steven Daniel Lauzon

Theses/Dissertations from 2015 2015

Teacher Participation and Motivation inProfessional Development , Krystal A. Hill

Student Evaluation of Mathematical Explanations in anInquiry-Based Mathematics Classroom , Ashley Burgess Hulet

English Learners' Participation in Mathematical Discourse , Lindsay Marie Merrill

Mathematical Interactions between Teachers and Students in the Finnish Mathematics Classroom , Paula Jeffery Prestwich

Parents and the Common Core State Standards for Mathematics , Rebecca Anne Roberts

Examining the Effects of College Algebra on Students' Mathematical Dispositions , Kevin Lee Watson

Problems Faced by Reform Oriented Novice Mathematics Teachers Utilizing a Traditional Curriculum , Tyler Joseph Winiecke

Academic and Peer Status in the Mathematical Life Stories of Students , Carol Ann Wise

Theses/Dissertations from 2014 2014

The Effect of Students' Mathematical Beliefs on Knowledge Transfer , Kristen Adams

Language Use in Mathematics Textbooks Written in English and Spanish , Kailie Ann Bertoch

Teachers' Curricular Reasoning and MKT in the Context of Algebra and Statistics , Kolby J. Gadd

Mathematical Telling in the Context of Teacher Interventions with Collaborative Groups , Brandon Kyle Singleton

An Investigation of How Preservice Teachers Design Mathematical Tasks , Elizabeth Karen Zwahlen

Theses/Dissertations from 2013 2013

Student Understanding of Limit and Continuity at a Point: A Look into Four Potentially Problematic Conceptions , Miriam Lynne Amatangelo

Exploring the Mathematical Knowledge for Teaching of Japanese Teachers , Ratu Jared R. T. Bukarau

Comparing Two Different Student Teaching Structures by Analyzing Conversations Between Student Teachers and Their Cooperating Teachers , Niccole Suzette Franc

Professional Development as a Community of Practice and Its Associated Influence on the Induction of a Beginning Mathematics Teacher , Savannah O. Steele

Types of Questions that Comprise a Teacher's Questioning Discourse in a Conceptually-Oriented Classroom , Keilani Stolk

Theses/Dissertations from 2012 2012

Student Teachers' Interactive Decisions with Respect to Student Mathematics Thinking , Jonathan J. Call

Manipulatives and the Growth of Mathematical Understanding , Stacie Joyce Gibbons

Learning Within a Computer-Assisted Instructional Environment: Effects on Multiplication Math Fact Mastery and Self-Efficacy in Elementary-Age Students , Loraine Jones Hanson

Mathematics Teacher Time Allocation , Ashley Martin Jones

Theses/Dissertations from 2011 2011

How Student Positioning Can Lead to Failure in Inquiry-based Classrooms , Kelly Beatrice Campbell

Teachers' Decisions to Use Student Input During Class Discussion , Heather Taylor Toponce

A Conceptual Framework for Student Understanding of Logarithms , Heather Rebecca Ambler Williams

Theses/Dissertations from 2010 2010

Growth in Students' Conceptions of Mathematical Induction , John David Gruver

Contextualized Motivation Theory (CMT): Intellectual Passion, Mathematical Need, Social Responsibility, and Personal Agency in Learning Mathematics , Janelle Marie Hart

Thinking on the Brink: Facilitating Student Teachers' Learning Through In-the-Moment Interjections , Travis L. Lemon

Understanding Teachers' Change Towards a Reform-Oriented Mathematics Classroom , Linnae Denise Williams

Theses/Dissertations from 2009 2009

A Comparison of Mathematical Discourse in Online and Face-to-Face Environments , Shawn D. Broderick

The Influence of Risk Taking on Student Creation of Mathematical Meaning: Contextual Risk Theory , Erin Nicole Houghtaling

Uncovering Transformative Experiences: A Case Study of the Transformations Made by one Teacher in a Mathematics Professional Development Program , Rachelle Myler Orsak

Theses/Dissertations from 2008 2008

Student Teacher Knowledge and Its Impact on Task Design , Tenille Cannon

How Eighth-Grade Students Estimate with Fractions , Audrey Linford Hanks

Similar but Different: The Complexities of Students' Mathematical Identities , Diane Skillicorn Hill

Choose Your Words: Refining What Counts as Mathematical Discourse in Students' Negotiation of Meaning for Rate of Change of Volume , Christine Johnson

Mathematics Student Teaching in Japan: A Multi-Case Study , Allison Turley Shwalb

Theses/Dissertations from 2007 2007

Applying Toulmin's Argumentation Framework to Explanations in a Reform Oriented Mathematics Class , Jennifer Alder Brinkerhoff

What Are Some of the Common Traits in the Thought Processes of Undergraduate Students Capable of Creating Proof? , Karen Malina Duff

Probing for Reasons: Presentations, Questions, Phases , Kellyn Nicole Farlow

One Problem, Two Contexts , Danielle L. Gigger

The Main Challenges that a Teacher-in-Transition Faces When Teaching a High School Geometry Class , Greg Brough Henry

Discovering the Derivative Can Be "Invigorating:" Mark's Journey to Understanding Instantaneous Velocity , Charity Ann Gardner Hyer

Theses/Dissertations from 2006 2006

How a Master Teacher Uses Questioning Within a Mathematical Discourse Community , Omel Angel Contreras

Determining High School Geometry Students' Geometric Understanding Using van Hiele Levels: Is There a Difference Between Standards-based Curriculum Students and NonStandards-based Curriculum Students? , Rebekah Loraine Genz

The Nature and Frequency of Mathematical Discussion During Lesson Study That Implemented the CMI Framework , Andrew Ray Glaze

Second Graders' Solution Strategies and Understanding of a Combination Problem , Tiffany Marie Hessing

What Does It Mean To Preservice Mathematics Teachers To Anticipate Student Responses? , Matthew M. Webb

Theses/Dissertations from 2005 2005

Fraction Multiplication and Division Image Change in Pre-Service Elementary Teachers , Jennifer J. Cluff

An Examination of the Role of Writing in Mathematics Instruction , Amy Jeppsen

Theses/Dissertations from 2004 2004

Reasoning About Motion: A Case Study , Tiffini Lynn Glaze

Theses/Dissertations from 2003 2003

An Analysis of the Influence of Lesson Study on Preservice Secondary Mathematics Teachers' View of Self-As Mathematics Expert , Julie Stafford

Advanced Search

• Notify me via email or RSS

ScholarsArchive ISSN: 2572-4479

• Collections
• Disciplines
• Scholarly Communication
• Additional Collections
• Academic Research Blog

Author Corner

Hosted by the.

• Harold B. Lee Library

Home | About | FAQ | My Account | Accessibility Statement

Privacy Copyright

Senior Thesis Guidelines

A senior thesis can form a valuable part of a student's experience in the  Mathematics Major . It is intended to allow students to cover significant areas of mathematics not covered in course work, or not covered there in sufficient depth. The work should be independent and creative. It can involve the solution of a serious mathematics problem, or it can be an expository work, or variants of these. Both the process of doing independent research and mathematics exposition, as well as the finished written product and optional oral presentation, can have a lasting positive impact on a student's educational and professional future.

Supervision

Supervision by a qualified member of the field of mathematics at Cornell is the normal requirement for a senior thesis. Other arrangements are possible, however, provided they are made with the assistance of the student's major advisor, and with the approval of the Mathematics Major Committee.

Finding a supervisor/Encouraging students.  

It should be emphasized that both the writing and the supervising of a senior thesis are optional activities, both for students and faculty. Students interested in doing this will need to find a suitable supervisor — perhaps with the aid of their major advisor or another faculty member whom they know. Advisors and other faculty who encounter students whom they think would benefit from this activity are invited to mention this option to them and assist them in finding a supervisor.

Standard venues for senior theses . 

One obvious way in which a senior thesis can be produced is through an independent research course (MATH 4900); another way is through an REU experience, either at Cornell or elsewhere. (If the REU work was accomplished or initiated elsewhere, a "local expert" will still be needed to supervise or "vouch for" the work as a senior thesis.) In yet a third way, a student may present a faculty member with a solution or partial solution to an interesting problem. In such cases, this could form the core of a senior thesis. Faculty are invited to encourage such work from their students.

Public Lecture

A public lecture in which the results of the senior thesis are presented is welcome but optional. This should be arranged by the thesis supervisor in conjunction with the undergraduate coordinator and adequately advertised. Department faculty and graduate students are encouraged to attend these presentations.

Submission Deadlines

The supervisor must approve the student's thesis. The student will submit a completed first draft of the thesis to the thesis supervisor. If the supervisor asks the student to make changes, the student will have two weeks to do so and submit a PDF copy of the thesis in final form. The thesis will be posted on the department's web site.

For students graduating in December 2023 , the deadline for the first draft is Friday, November 17 and the final submission is due to the thesis supervisor and the undergraduate coordinator on Friday, December 1.

For students graduating in May 2024 , the deadline for the first draft is Friday, April 19 and the final submission is due to the thesis supervisor and the undergraduate coordinator on Friday, May 3.

Format of the Thesis

Ideally, the final document should be TeXed or prepared in some equivalent technical document preparation system. The document must have large left margins (one and one-half inches or slightly larger). The title page should contain:

The student's name and graduating class.

The title of the senior thesis.

The name of the faculty supervisor. (If there is more than one supervisor, list both. If one of the supervisors is not in the Mathematics Department, list the department and institution.)

The date of completion of the thesis.

This information will be used to produce a standard frontispiece page, which will be added to the document in its library copies.

Judgment as to the merit of a senior thesis will be based largely on the recommendation of the faculty member supervising the thesis. The Mathematics Major Committee will use this recommendation both in its determination of honors and in its decision on whether to place the thesis in our permanent library collection.

The senior thesis will automatically be considered by the Mathematics Major Committee as one of the ingredients for deciding on an  honors  designation for the student. Students may receive honors without a thesis and are not guaranteed honors with one. However, an excellent senior thesis combined with an otherwise excellent record can elevate the level of honors awarded.

Library Collection

Meritorious senior theses will be catalogued, bound, and stored in the Mathematics Library.

• DSpace@MIT Home
• MIT Libraries

This collection of MIT Theses in DSpace contains selected theses and dissertations from all MIT departments. Please note that this is NOT a complete collection of MIT theses. To search all MIT theses, use MIT Libraries' catalog .

MIT's DSpace contains more than 58,000 theses completed at MIT dating as far back as the mid 1800's. Theses in this collection have been scanned by the MIT Libraries or submitted in electronic format by thesis authors. Since 2004 all new Masters and Ph.D. theses are scanned and added to this collection after degrees are awarded.

MIT Theses are openly available to all readers. Please share how this access affects or benefits you. Your story matters.

If you have questions about MIT theses in DSpace, [email protected] . See also Access & Availability Questions or About MIT Theses in DSpace .

If you are a recent MIT graduate, your thesis will be added to DSpace within 3-6 months after your graduation date. Please email [email protected] with any questions.

Permissions

MIT Theses may be protected by copyright. Please refer to the MIT Libraries Permissions Policy for permission information. Note that the copyright holder for most MIT theses is identified on the title page of the thesis.

Theses by Department

• Comparative Media Studies
• Computation for Design and Optimization
• Computational and Systems Biology
• Department of Aeronautics and Astronautics
• Department of Architecture
• Department of Biological Engineering
• Department of Biology
• Department of Brain and Cognitive Sciences
• Department of Chemical Engineering
• Department of Chemistry
• Department of Civil and Environmental Engineering
• Department of Earth, Atmospheric, and Planetary Sciences
• Department of Economics
• Department of Electrical Engineering and Computer Sciences
• Department of Humanities
• Department of Linguistics and Philosophy
• Department of Materials Science and Engineering
• Department of Mathematics
• Department of Mechanical Engineering
• Department of Nuclear Science and Engineering
• Department of Ocean Engineering
• Department of Physics
• Department of Political Science
• Department of Urban Studies and Planning
• Engineering Systems Division
• Harvard-MIT Program of Health Sciences and Technology
• Institute for Data, Systems, and Society
• Media Arts & Sciences
• Operations Research Center
• Program in Real Estate Development
• Program in Writing and Humanistic Studies
• Science, Technology & Society
• Science Writing
• Sloan School of Management
• Supply Chain Management
• System Design & Management
• Technology and Policy Program

Collections in this community

Doctoral theses, graduate theses, undergraduate theses, recent submissions.

An Approach to Fault Management Design for the Proposed Mars Sample Return EDL and Ascent Phase Architectures 

Silicon Photomultipliers as Free Space Optical Communication Sensors 

Study of Cavity Geometry to Improve Optical Quality of Windows in Hypersonic Flow 

Show Statistical Information

• Press Enter to activate screen reader mode.

Seminar for Applied Mathematics

Student projects and theses, student projects.

If interested please contact the lecturer offering the project.

Note: Most projects are suitable for both students of mathematics and computational science and engineering.

Our research group focuses on the study of stability and regularization of ill-posed problems which arise in various applications. For such problems conventional solvers yield unreliable outputs, so that regularization techniques are necessary to produce trustworthy solutions. Research topics include medical imaging, phase retrieval (with application in coherent diffraction imaging and audio processing) and the vulnerability of deep neural networks. Theses projects on these topics are available, with possible emphasis on either implementation or analysis.

Our goal is to develop new mathematical models and methods of broad utility to science and engineering and to make fundamental advances in the mathematical and physical sciences themselves. We have been developing mathematical and computational frameworks to achieve super-resolution in biomedical imaging. Our work on biomimetics focuses on elucidating mechanisms exploited by bats and weakly electric fish for imaging. Nanophotonics is the study of electromagnetic wave phenomena in media structured on the same lengthscale as the wavelength, and is also a very active area of study in our group. Thesis projects on these current topics of research are available on request.

List of projects see here

The research of the group of S. Mishra focuses on the design, analysis and efficient implementation on state of the art high performance computing platforms, of robust numerical methods for nonlinear partial differential equations, particularly of the hyperbolic type, and their application in fluid dynamics, plasma physics, astrophysics, climate science and geophysics. We also address fundamental mathematical questions of well-posedness of nonlinear hyperbolic PDEs, particularly in the context of novel solution frameworks such as statistical solutions. Numerical methods, of the finite volume, finite difference, spectral and discontinuous Galerkin finite element type are developed in the group. Another focus area is on computational uncertainty quantification i.e efficient calculation of uncertainties in the solutions of PDEs that are driven by stochastic initial/boundary conditions, parameters and chaotic dynamics. Student projects for Bachelor, semester and Masters thesis are available on the whole range of topics from addressing fundamental mathematical questions to the design of efficient algorithms, HPC implementation and interesting applications.

Stu­dent pro­jects are avail­able in Math­em­at­ical Ana­lysis (er­ror es­tim­ates) and Com­puter Im­ple­ment­a­tion of ef­fi­cient dir­ect and in­verse prob­lem solu­tion for de­term­in­istic and stochastic Par­tial Dif­fer­en­tial Equa­tions with either many (sev­eral hun­dred) para­met­ers, or with solu­tions on very high di­men­sional state-​ and phase spaces. Mathematical techniques comprise (but are not limited to): Numerical Analysis of Partial Differential Equations (Finite Element Galerkin discretizations) see, e.g. https://math.ethz.ch/sam/research/reports.html?id=1031 https://math.ethz.ch/sam/research/reports.html?id=2020-67 Sparse Grid and Polynomial Chaos techniques Mathematics of Deep Learning (neural network approximation theory, deep neural network training, etc.), for numerical PDE approximation see, e.g. https://math.ethz.ch/sam/research/reports.html?id=2021-40 https://math.ethz.ch/sam/research/reports.html?id=2022-11 Monte-Carlo and Quasi-Monte Carlo integration in high dimensions see, e.g. https://math.ethz.ch/sam/research/reports.html?id=2022-10 external page J. Dick and M. Longo and Ch. Schwab: Extrapolated Lattice Rule Integration in Computational Uncertainty Quantification, SIAM/ASA Journ. Uncertainty Quantification, 10/2 (2022), pp. 651-686 call_made All Projects are closely related to current research topics, and can be extended to MSc and PhD thesis projects.

Selection of completed theses

• Yanchen He , Download Analytic regularity and hp-Discontinuous Galerkin approximation of viscous, incompressible flow in a polygon (PDF, 844 KB) vertical_align_bottom , 2021, supervisors Prof. Dr. Christoph Schwab and Dr. Carlo Marcati
• Marcello Longo , Download Higher order QMC integration with scrambling for elliptic PDEs with random coeffcients (PDF, 1.3 MB) vertical_align_bottom , 2019, supervisor Prof. Ch. Schwab
• Joost Opschoor, Download ReLU DNN expression of sparse gpc expansion in uncertainty quantification (PDF, 1 MB) vertical_align_bottom , 2018, supervisor Prof. Ch. Schwab
• Simon Etter, Download Parallel Tensor-Formatted Numerics for the Chemical Master Equation (PDF, 2 MB) vertical_align_bottom , 2015, supervisors Robert Gantner and Prof. Dr. Christoph Schwab
• Oded Stein, Download A Boundary Element Method for Eddy Currents (PDF, 2.6 MB) vertical_align_bottom , 2015, supervisor Prof. Ralf Hiptmair
• Ingmar Getzner, Download Examination of Measure Valued Solutions for the Magnetohydrodynamic Equations (PDF, 2.6 MB) vertical_align_bottom , 2014, supervisors Prof. Siddhartha Mishra and Dr. Roger Käppeli
• Samuel Lanthaler, Download Computation of Measure Valued Solutions of the Incompressible Euler Equations (PDF, 3.3 MB) vertical_align_bottom , supervisor Prof. Siddhatha Mishra
• Simon Laumer, Download Finite Difference Approach for the Measure Valued Vanishing Dispersion Limit of Burgers’ Equation (PDF, 1.9 MB) vertical_align_bottom , 2014, supervisor Prof. Siddhartha Mishra
• Jakob Zech, Download A Posteriori Error Estimation of hp-DG Finite Element Methods for Highly Indefinite Helmholtz Problems (PDF, 4.4 MB) vertical_align_bottom , 2014, supervisor Prof. Dr Stefan Sauter
• Lukas Herrmann, Download Isotropic Random Fields on the Sphere - Stochastic Heat Equation and Regularity of Random Elliptic PDEs (PDF, 1.4 MB) vertical_align_bottom , 2013, supervisors Dr. Annika Lang, Prof. Dr. Christoph Schwab 
• Yann Poltera, Download MLMC-FD method for 2D statistical solutions of the Navier-Stokes equations (PDF, 1.4 MB) vertical_align_bottom , 2013, supervisor Prof. Dr. Christoph Schwab
• Helga Thum, Download Numerical Simulations of the Weak Approximation Error for Parabolic Stochastic Partial Differential Equations (PDF, 706 KB) vertical_align_bottom , 2013, supervisor Prof. Dr. Arnulf Jentzen
• Yulia Smirnova, Download Calderon Preconditioning for Higher Order Boundary Element Method (PDF, 1.9 MB) vertical_align_bottom , 2013, supervisor Prof. Ralf Hiptmair
• Raffael Casagrande, Download Sliding Interfaces for Eddy Current Simulations (PDF, 7.1 MB) vertical_align_bottom , 2013, supervisor Prof. Ralf Hiptmair
• Simon Pintarelli, Download Local Multi-trace Boundary Element Formulation for Diffusion Problems (PDF, 2.9 MB) vertical_align_bottom , 2013, supervisor Prof. Ralf Hiptmair
• Michel Verlinden, Download Adaptive Galerkin Methods for Infinite Dimensional Parabolic Equations (PDF, 580 KB) vertical_align_bottom , 2012, supervisor Prof. Christoph Schwab
• Severin Thaler, Download The Criticality Spectral Problem in Neutron Transport (PDF, 1.4 MB) vertical_align_bottom , 2012, supervisor Prof. Christoph Schwab
• Robbin Tops, Download Numerical Pricing of American Options for gerneral Bivariate Lévy Models (PDF, 3.8 MB) vertical_align_bottom , 2012, supervisor Prof. Christoph Schwab
• Elke Spindler, Download Second Kind Single Trace Boundary Element Methods (PDF, 5.4 MB) vertical_align_bottom , 2012, Prof. Ralf Hiptmair
• D. Bernhardsgrütter, Download Multi-Level Monte Carlo Methods for Stochastic Parabolic and 2nd Order Hyperbolic PDEs (PDF, 3.7 MB) vertical_align_bottom , 2011, supervisor Prof. Dr. Christoph Schwab
• Daniel Kövi, Download hp Finite Element Method pricing algorithms for lookback options in Lévy Markets (PDF, 1.3 MB) vertical_align_bottom , 2011, supervisor Prof. Christoph Schwab
• Barry Thornton, Download Electricity Spot Price Modelling and Derivatives Pricing (PDF, 5.3 MB) vertical_align_bottom , 2010, supervisor Prof. Christoph Schwab
• Nathaniel Zollinger, Download Multi-Level Monte Carlo Finite Element Method for Elliptic Partial Differential Equations with Stochastic Data (PDF, 720 KB) vertical_align_bottom , 2010, supervisor Prof. Christoph Schwab
• Alberto Paganini, Download Efficient Convolution Based Impedance Boundary Conditions (PDF, 731 KB) vertical_align_bottom , 2011, supervisor Prof. Ralf Hiptmair
• Michael Spreng, Download Resolution of Skin Layer in EM Simulation (PDF, 865 KB) vertical_align_bottom , 2010, supervisor Prof. Ralf Hiptmair
• Stefan Siebenmann, Download A Scalable Eddy-Current Solver for ANSYS (PDF, 1.3 MB) vertical_align_bottom , 2010, supervisor Prof. Ralf Hiptmair
• Lisa Powers, Download Numerical Study of Small-Jump Regularization on Exotic Contracts in Lévy Markets (PDF, 1.4 MB) vertical_align_bottom , 2008, supervisor Prof. Christoph Schwab 
• Franz Piehler, Download Boundary element discretisation of asymptotic layer models (PDF, 879 KB) vertical_align_bottom , 2008, supervisor Prof. Ralf Hiptmair
• Claude Gittelson, Download Plane wave discontinuous Galerkin methods (PDF, 1.6 MB) vertical_align_bottom , 2008, supervisor Prof. Ralf Hiptmair
• Chris Bardgett, Download Pricing Convertible Bonds using Finite Elements (PDF, 400 KB) vertical_align_bottom , 2007, supervisor Prof. Christoph Schwab
• Simone Riva, Download Computation of electrostatic forces by the virtual work method (PDF, 1.4 MB) vertical_align_bottom , 2007, supervisor Prof. Ralf Hiptmair
• Jan Kayatz, Download Cone Strategies for Formal Deformations of Non-Collapsible Simplicial Complexes (PDF, 412 KB) vertical_align_bottom , 2006,supervisor Prof. Ralf Hiptmair
• Oliver Pfeifer, Download Asymptotische Methode zur Berechnung elektrostatischer Kräfte (PDF, 489 KB) vertical_align_bottom , 2006, supervisor Prof. Ralf Hiptmair
• Julien Renggli, Download Quadtree techniques for the construction of structured auxiliary meshes (PDF, 429 KB) vertical_align_bottom , 2006, supervisor Prof. Ralf Hiptmair
• Gisela Widmer, Download Auxiliary Space Method for Edge Elements (PDF, 706 KB) vertical_align_bottom , 2003/04, supervisor Prof. Ralf Hiptmair
• Benjamin Guélat, Download Régularité des solutions des problèmes d'élasticité et d'écoulement de Stokes dans un polygone (PDF, 2.3 MB) vertical_align_bottom , 2001, supervisor Prof. Christoph Schwab
• Thomas Haener, Download Numerical Solution of a Coefficient Identification Problem for the Poisson Equation (PDF, 3.9 MB) vertical_align_bottom , September 2014, supervisor Prof. Ralf Hiptmair
• Elke Spindler, Download A Posteriori Error Estimates for hp-FEM: Comparison and Implementation (PDF, 545 KB) vertical_align_bottom , 2010, supervisor Prof. Ralf Hiptmair
• Robert Gantner, Download Rayleigh Quotient Multigrid (PDF, 4.2 MB) vertical_align_bottom , 2011, supervisor Prof. Ralf Hiptmair
• Simon Pintarelli,  Download Duality based error estimation for electrostatic force computation (PDF, 13.6 MB) vertical_align_bottom , 2010, supervisor Prof. Ralf Hiptmair
• Julia Slipantschuk, Download Numerical Validation of Emergent Behavior in Flocks (PDF, 4.5 MB) vertical_align_bottom , 2008, supervisors Prof. Christoph Schwab, Claude Jeffrey Gittelson
• Sabine Elmiger, Download Convergence of Binomial Tree Methods for European/American Path-Dependent Options (PDF, 5.8 MB) vertical_align_bottom , 2008, supervisors Prof. Christoph Schwab
• Claude Gittelson, Download Non-equidistant approximate DFT based on Z-Splines (PDF, 382 KB) vertical_align_bottom , 2006, supervisor Prof. Ralf Hiptmair
• Nitya Afambo,  Download Generalized Tensor Models for Recurrent Neural Networks (PDF, 1.2 MB) vertical_align_bottom , 2020, supervisors Dr.  Maksim Rakhuba,  Prof. Christoph Schwab
• Simon Etter, Download MPI-Based Tensor Network Library (PDF, 528 KB) vertical_align_bottom , 2014, supervisors Robert Gantner, Vladimir Kazeev, Prof. Christoph Schwab (RW/CSE)
• Jakob Zech, Download Nonlinear n-term approximation for the solution of the dirichlet problem (PDF, 288 KB) vertical_align_bottom , 2013, supervisors Dr. Markus Hansen, Prof. Christoph Schwab
• Simon Härdi, Download Parallelization of a radiative transfer solver (PDF, 444 KB) vertical_align_bottom , 2012, supervisor Prof. Christoph Schwab
• Yulia Smirnova, Download Dual Mesh Calderon Preconditioning for the Single Layer Boundary Integral Operator (PDF, 5 MB) vertical_align_bottom , 2012, supervisor Prof. Ralf Hiptmair
• Raffael Casagrande, Download Implementation of impedance boundary conditions in HADAPT (PDF, 1.3 MB) vertical_align_bottom , 2012, supervisor Prof. Ralf Hiptmair
• Anders Rosero, Download Spurious Solutions for transient Maxwell equations in 2D (PDF, 1.1 MB) vertical_align_bottom , 2011, supervisor Prof. Ralf Hiptmair
• Yavor Stoev, Download Variance-optimal hedging error in geometric Lévy models (PDF, 530 KB) vertical_align_bottom , 2010, supervisor Prof. Christoph Schwab
• Jonas Sukys, Download Discontinuous Galerkin discretization of magnetic convection (PDF, 2.5 MB) vertical_align_bottom , 2010, supervisor Prof. Ralf Hiptmair
• Andreas Hiltebrand, Download Fast solvers for Eulerian convection schemes, (PDF, 328 KB) vertical_align_bottom 2010, supervisor Prof. Ralf Hiptmair
• Christoph Bossard, Download Hash Based Data Structures for Tetrahedral Meshes (PDF, 152 KB) vertical_align_bottom , 2005, supervisor Prof. Ralf Hiptmair
• Mathias Hack, Download Angle conditions for face and edge elements (PDF, 427 KB) vertical_align_bottom , 2005, supervisor Prof. Ralf Hiptmair
• Manuel Guidon, Download Transient Simulation of Eddy Currents in Ferromagnets (PDF, 3.7 MB) vertical_align_bottom , 2003/04, supervisor Prof. Ralf Hiptmair
• Philippe Corboz, Download Micromagnetism (PDF, 3.7 MB) vertical_align_bottom , 2003, supervisor Prof. Ralf Hiptmair

SDSU's Coronavirus (COVID-19) Response

Master's thesis latex template.

"LaTeX is a document preparation system. When writing, the writer uses plain text as opposed to the formatted text found in WYSIWYG ("what  you see is what you get") word processors. The writer uses markup tagging conventions to define the general structure of a document (such as article, book, letter, or thesis), to stylise text throughout a document (such as bold and italics), and to add citations and cross-references. A TeX distribution such as TeX Live or MikTeX is used to produce an output file (such as PDF or DVI) suitable for printing or digital distribution. Within the typesetting system, its name is stylised as L a T e X ." — Adopted from Wikipedia. ( https://en.wikipedia.org/wiki/LaTeX )

• Linux/Unix — sdsu-thesis-latex.tar.gz
• Windows — sdsu-thesis-latex.zip
• Note: The generated sample pdf is available because many people asked for it, not because it is a good idea to use it as a reference. The style file and sample LaTeX document contain instructions and comments on why/how certain things were done in a certain way...
• Note: Official Unofficial Guide for Thesis Chairs
• Note: Official LaTeX format approval form; this is an official SDSU form — Do Not Edit .
• Peter Blomgren ( [email protected] , webpage ) reviews LaTeX theses for the Department of Mathematics and Statistics; the Department of Computer Science; and the Computational Sciences program; thus bypassing the review by Montezuma Publishing
• Fedora >> sudo yum install texlive* texmaker
• Ubuntu — help/community/LaTeX
• Texmaker (editor, recommended)
• TeX Live (LaTeX distribution)
• MiKTeX (LaTeX distribution)
• Overleaf (Tested)
• Typeset.io (Untested, Looks Promising)
• Session 1 (February 23, 1981)
• Session 2 (February 24, 1981)
• Session 3 (February 25, 1981)
• Session 4 (February 26, 1981)
• Session 5 (February 27, 1981)
• More Donald Knuth Lectures
• LaTeX Graphics Blog
• Wikibooks: LaTeX/Introduction
• TeX Resources: LaTeX Matters
• LaTeX Templates for FUTURE reference; DO NOT use for your thesis.
• LaTeX Tables Generator
• LMGTFY: More LaTeX Resources

Home > USC Columbia > Arts and Sciences > Mathematics > Mathematics Theses and Dissertations

Mathematics Theses and Dissertations

Theses/dissertations from 2023 2023.

Extreme Covering Systems, Primes Plus Squarefrees, and Lattice Points Close to a Helix , Jack Robert Dalton

On the Algebraic and Geometric Multiplicity of Zero as a Hypergraph Eigenvalue , Grant Ian Fickes

Deep Learning for Studying Materials Stability and Solving Thermodynamically Consistent PDES With Dynamic Boundary Conditions in Arbitrary Domains , Chunyan Li

Widely Digitally Delicate Brier Primes and Irreducibility Results for Some Classes of Polynomials , Thomas David Luckner

Deep Learning Methods for Some Problems in Scientific Computing , Yuankai Teng

Theses/Dissertations from 2022 2022

Covering Systems and the Minimum Modulus Problem , Maria Claire Cummings

The Existence and Quantum Approximation of Optimal Pure State Ensembles , Ryan Thomas McGaha

Structure Preserving Reduced-Order Models of Hamiltonian Systems , Megan Alice McKay

Tangled up in Tanglegrams , Drew Joseph Scalzo

Results on Select Combinatorial Problems With an Extremal Nature , Stephen Smith

Poset Ramsey Numbers for Boolean Lattices , Joshua Cain Thompson

Some Properties and Applications of Spaces of Modular Forms With ETA-Multiplier , Cuyler Daniel Warnock

Theses/Dissertations from 2021 2021

Simulation of Pituitary Organogenesis in Two Dimensions , Chace E. Covington

Polynomials, Primes and the PTE Problem , Joseph C. Foster

Widely Digitally Stable Numbers and Irreducibility Criteria For Polynomials With Prime Values , Jacob Juillerat

A Numerical Investigation of Fractional Models for Viscoelastic Materials With Applications on Concrete Subjected to Extreme Temperatures , Murray Macnamara

Trimming Complexes , Keller VandeBogert

Multiple Frailty Model for Spatially Correlated Interval-Censored , Wanfang Zhang

Theses/Dissertations from 2020 2020

An Equivariant Count of Nodal Orbits in an Invariant Pencil of Conics , Candace Bethea

Finite Axiomatisability in Nilpotent Varieties , Joshua Thomas Grice

Rationality Questions and the Derived Category , Alicia Lamarche

Counting Number Fields by Discriminant , Harsh Mehta

Distance Related Graph Invariants in Triangulations and Quadrangulations of the Sphere , Trevor Vincent Olsen

Diameter of 3-Colorable Graphs and Some Remarks on the Midrange Crossing Constant , Inne Singgih

Two Inquiries Related to the Digits of Prime Numbers , Jeremiah T. Southwick

Windows and Generalized Drinfeld Kernels , Robert R. Vandermolen

Connections Between Extremal Combinatorics, Probabilistic Methods, Ricci Curvature of Graphs, and Linear Algebra , Zhiyu Wang

An Ensemble-Based Projection Method and Its Numerical Investigation , Shuai Yuan

Variable-Order Fractional Partial Differential Equations: Analysis, Approximation and Inverse Problem , Xiangcheng Zheng

Theses/Dissertations from 2019 2019

Classification of Non-Singular Cubic Surfaces up to e-invariants , Mohammed Alabbood

On the Characteristic Polynomial of a Hypergraph , Gregory J. Clark

A Development of Transfer Entropy in Continuous-Time , Christopher David Edgar

Moving Off Collections and Their Applications, in Particular to Function Spaces , Aaron Fowlkes

Finding Resolutions of Mononomial Ideals , Hannah Melissa Kimbrell

Regression for Pooled Testing Data with Biomedical Applications , Juexin Lin

Numerical Methods for a Class of Reaction-Diffusion Equations With Free Boundaries , Shuang Liu

An Implementation of the Kapustin-Li Formula , Jessica Otis

A Nonlinear Parallel Model for Reversible Polymer Solutions in Steady and Oscillating Shear Flow , Erik Tracey Palmer

A Few Problems on the Steiner Distance and Crossing Number of Graphs , Josiah Reiswig

Successful Pressing Sequences in Simple Pseudo-Graphs , Hays Wimsatt Whitlatch

On The Generators of Quantum Dynamical Semigroups , Alexander Wiedemann

An Examination of Kinetic Monte Carlo Methods with Application to a Model of Epitaxial Growth , Dylana Ashton Wilhelm

Dynamical Entropy of Quantum Random Walks , Duncan Wright

Unconditionally Energy Stable Linear Schemes for a Two-Phase Diffuse Interface Model with Peng-Robinson Equation of State , Chenfei Zhang

Theses/Dissertations from 2018 2018

Theory, Computation, and Modeling of Cancerous Systems , Sameed Ahmed

Turán Problems and Spectral Theory on Hypergraphs and Tensors , Shuliang Bai

Quick Trips: On the Oriented Diameter of Graphs , Garner Paul Cochran

Geometry of Derived Categories on Noncommutative Projective Schemes , Blake Alexander Farman

A Quest for Positive Definite Matrices over Finite Fields , Erin Patricia Hanna

Comparison of the Performance of Simple Linear Regression and Quantile Regression with Non-Normal Data: A Simulation Study , Marjorie Howard

Special Fiber Rings of Certain Height Four Gorenstein Ideals , Jaree Hudson

Graph Homomorphisms and Vector Colorings , Michael Robert Levet

Local Rings and Golod Homomorphisms , Thomas Schnibben

States and the Numerical Range in the Regular Algebra , James Patrick Sweeney

Thermodynamically Consistent Hydrodynamic Phase Field Models and Numerical Approximation for Multi-Component Compressible Viscous Fluid Mixtures , Xueping Zhao

Theses/Dissertations from 2017 2017

On the Existence of Non-Free Totally Reflexive Modules , J. Cameron Atkins

Subdivision of Measures of Squares , Dylan Bates

Unconditionally Energy Stable Numerical Schemes for Hydrodynamics Coupled Fluids Systems , Alexander Yuryevich Brylev

Convergence and Rate of Convergence of Approximate Greedy-Type Algorithms , Anton Dereventsov

Covering Subsets of the Integers and a Result on Digits of Fibonacci Numbers , Wilson Andrew Harvey

Nonequispaced Fast Fourier Transform , David Hughey

Deep Learning: An Exposition , Ryan Kingery

A Family of Simple Codimension Two Singularities with Infinite Cohen-Macaulay Representation Type , Tyler Lewis

Polynomials Of Small Mahler Measure With no Newman Multiples , Spencer Victoria Saunders

Theses/Dissertations from 2016 2016

On Crown-free Set Families, Diffusion State Difference, and Non-uniform Hypergraphs , Edward Lawrence Boehnlein

Structure of the Stable Marriage and Stable Roommate Problems and Applications , Joe Hidakatsu

Binary Quartic Forms over Fp , Daniel Thomas Kamenetsky

On a Constant Associated with the Prouhet-Tarry-Escott Problem , Maria E. Markovich

Some Extremal And Structural Problems In Graph Theory , Taylor Mitchell Short

Chebyshev Inversion of the Radon Transform , Jared Cameron Szi

Modeling of Structural Relaxation By A Variable-Order Fractional Differential Equation , Su Yang

Theses/Dissertations from 2015 2015

Modeling, Simulation, and Applications of Fractional Partial Differential Equations , Wilson Cheung

The Packing Chromatic Number of Random d-regular Graphs , Ann Wells Clifton

Commutator Studies in Pursuit of Finite Basis Results , Nathan E. Faulkner

Avoiding Doubled Words in Strings of Symbols , Michael Lane

A Survey of the Kinetic Monte Carlo Algorithm as Applied to a Multicellular System , Michael Richard Laughlin

Toward the Combinatorial Limit Theory of free Words , Danny Rorabaugh

Trees, Partitions, and Other Combinatorial Structures , Heather Christina Smith

Fast Methods for Variable-Coefficient Peridynamic and Non-Local Diffusion Models , Che Wang

Modeling and Computations of Cellular Dynamics Using Complex-fluid Models , Jia Zhao

Theses/Dissertations from 2014 2014

The Non-Existence of a Covering System with all Moduli Distinct, Large and Square-Free , Melissa Kate Bechard

Explorations in Elementary and Analytic Number Theory , Scott Michael Dunn

Independence Polynomials , Gregory Matthew Ferrin

Turán Problems on Non-uniform Hypergraphs , Jeremy Travis Johnston

On the Group of Transvections of ADE-Diagrams , Marvin Jones

Fake Real Quadratic Orders , Richard Michael Oh

Theses/Dissertations from 2013 2013

Shimura Images of A Family of Half-Integral Weight Modular Forms , Kenneth Allan Brown

Sharp Bounds Associated With An Irreducibility Theorem For Polynomials Having Non-Negative Coefficients , Morgan Cole

Deducing Vertex Weights From Empirical Occupation Times , David Collins

Analysis and Processing of Irregularly Distributed Point Clouds , Kamala Hunt Diefenthaler

Generalizations of Sperner's Theorem: Packing Posets, Families Forbidding Posets, and Supersaturation , Andrew Philip Dove

Spectral Analysis of Randomly Generated Networks With Prescribed Degree Sequences , Clifford Davis Gaddy

Selected Research In Covering Systems of the Integers and the Factorization of Polynomials , Joshua Harrington

The Weierstrass Approximation Theorem , LaRita Barnwell Hipp

The Compact Implicit Integration Factor Scheme For the Solution of Allen-Cahn Equations , Meshack K. Kiplagat

Applications of the Lopsided Lovász Local Lemma Regarding Hypergraphs , Austin Tyler Mohr

Study On Covolume-Upwind Finite Volume Approximations For Linear Parabolic Partial Differential Equations , Rosalia Tatano

Coloring Pythagorean Triples and a Problem Concerning Cyclotomic Polynomials , Daniel White

Theses/Dissertations from 2012 2012

A Computational Approach to the Quillen-Suslin Theorem, Buchsbaum-Eisenbud Matrices, and Generic Hilbert-Burch Matrices , Jonathan Brett Barwick

Mathematical Modeling and Computational Studies for Cell Signaling , Kanadpriya Basu

Advanced Search

• Notify me via email or RSS
• Collections
• Disciplines

Submissions

• Give us Feedback
• University Libraries

Home | About | FAQ | My Account | Accessibility Statement

Privacy Copyright

Stack Exchange Network

Stack Exchange network consists of 183 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

Q&A for work

Connect and share knowledge within a single location that is structured and easy to search.

Is it common for an undergraduate thesis in pure mathematics to prove something new?

What do undergraduate students in mathematics do for their thesis, if they have done one, besides expository or applied math?

I was thinking that the kind of research they do is something applied, say using math in social sciences or a problem in one of the less rigorous natural sciences, or discussing such a problem (that's what expository is, right?).

To me it seems something non-expository or non-applied is an original contribution to mathematics, something that PhD students do.

I attended some pure math undergraduate thesis presentations. I was quite surprised: Did they prove anything new? Never bothered to ask due to fear of looking stupid. Would it be out of the ordinary to expect an undergraduate proves something new? If they did not prove anything new, what the heck are they talking about?

It seems like if it's not new, they are giving a lecture. If it's new, that seems like a PhD-level accomplishment.

I mean, do math undergraduates frequently prove new things?

• mathematics
• research-undergraduate

• 6 "Anything new" is rather broad. I myself proved "something new" in by bachelors thesis, in the sense that nobody answered that particular question rigorously before. Was it deep? Probably not. Could I have published it? I don't think so. Still, it was new . –  Raphael Commented Jul 30, 2015 at 8:05
• Depending on the country and the quality of the teaching, yes it is possible. If you have a Professor who gives you an actual problem knowing you have been taught the right modules/topics to investigate it, yes. If you have little teaching and then are told to pick a topic (as it happens in some places) then the chance is significantly lower. –  DetlevCM Commented Jul 30, 2015 at 12:03
• 1 @DetlevCM I'm guessing there may be 1 for every dozens or hundreds. I was actually wondering about the average batch of undergrad math majors whose thesis is in pure math. My guess is in the first place not many math majors will do pure math in their thesis. So what about those who do? They actually try to prove something? What happens if they cannot prove that particular conjecture in a month after they come up with the proposal after a month? 2 months left in the semester. So what happens? –  BCLC Commented Jul 30, 2015 at 16:09
• 1 @JackBauer Yes, that Enigma - I only covered the rotors and left out the switchboard but the switchboard is the trivial part. Heck, I suspect I could write an implementation fairly easily nowadays having gotten better at programming since. (Side note, its not cracking Enigma, its encoding and decoding which is really trivial.) –  DetlevCM Commented Jul 30, 2015 at 17:05
• 1 @JackBauer Something like that. Some researchers claimed a property of the things they worked with; it was crucial for their method to work, but they did not provide a proof. (I don't know if they could have.) I filled that gap. My advisor found it, and I had the luck that it was a reasonably scoped task that took mostly undergrad stuff plus some tinkering. (I think he (and I) hoped I'd happen upon a case where they were wrong, but they weren't.) –  Raphael Commented Jul 30, 2015 at 21:28

5 Answers 5

I'm going to disagree with Oswald. In my experience, undergraduate students do not often prove new things in pure math. I wouldn't even say master's theses often contain new results. There are a few main reasons for this.

Firstly, pure mathematics operates at a level that is not very accessible for most undergraduates, even those doing research. Undergraduates doing research are often well out of their depth and holding on for dear life. This can mostly be attributed to just not having enough time to get up to speed with what is considered modern mathematics. Most courses in mathematics at the undergraduate level are about math from 50-100 years ago (if not older).

Secondly, undergraduates do not often have the mathematical experience to know what the right plan of attack is when faced with an abstract and new problem and they may not know how to check their work thoroughly to make sure there are no major oversights or blunders. A lot of mathematics involves lateral thinking and it takes a lot of time to build those connections. The hardest part of a pure math PhD (in my opinion) is learning how to attack a problem no one has considered before. Standard techniques that others used may not be useful at all to you for one reason or another. An undergraduate won't have the creativity to navigate this kind of issue because the kind of creativity that is needed comes with a lot of experience. Even when an undergraduate student thinks they've proved something, the nuances of their argument likely will not be apparent to them. (This is especially true when it comes to functional analytic/measure theoretic arguments - the devil is in the details.) Thus a proposed proof may not even be close to being right.

Lastly, not many undergraduates in pure math do research because the gap they have to overcome between coursework and modern mathematics is pretty substantial. Those that make contributions in pure math are those that are very, very talented and have very thorough backgrounds (backgrounds that rival master's/PhD students).

Undergraduates in pure math are not expected to make contributions. That is not what research is about for them. Introducing an undergraduate to research serves a couple of different purposes: it introduces them to more advanced topics and it gives them a taste of what research is like so that they can make an informed decision about whether or not graduate school is right for them. As such, the theses are more like surveys of a specialized topic in mathematics. There is a lot of independent learning involved and there may be some unique examples, insights, and connections contained therein. They may not be presenting "original" work, but poster sessions are there to present what they've learned regardless of whether or not it was original. So yes, it is kind of like a lecture. They are undergraduates and far from being experts in their field.

Note that I am not saying that no undergraduate ever produces new results in pure math (there are some high school students that are better than most PhDs), but it is not a common occurrence and is not expected or considered the norm.

• 27 Bingo. Exactly. Further, I think it is bad to promote the mythology that "undergrads can do meaningful research in mathematics" if only because it sets of unrealistic expectations, so that "everyone fails". That is, it does not help anyone to "assure" them that "they can do research while undergraduates", because most likely they will not, and this is not failure. And so on. For that matter, many graduate students misunderstand the degree of "originality/creativity" that will actually play a role in their thesis, since the bulk of the work is assimilation of known techniques... –  paul garrett Commented Jul 29, 2015 at 21:09
• 8 I think a large part of the difference here is subfield. It is very rare for an undergraduate to make a substantial contribution anywhere, or any contribution to a subfield requiring a large amount of background. On the other hand, it's not so unusual for undergraduates to be able to prove new results in many areas of combinatorics, even if these results are unlikely to be interesting to anyone except other undergraduates working on follow-up projects. –  Alexander Woo Commented Jul 29, 2015 at 22:15
• 2 I fully agree with @AlexanderWoo (and, perhaps counter-intuitively, Cameron's Answer): I think undergrads can definitely do bona fide research, in combinatorics if nowhere else. But, it is probably is likely that most undergrads don't do original research. –  pjs36 Commented Jul 29, 2015 at 22:24
• 8 @Alexander Woo - I think it is important to distinguish between undergraduates working alone (who are indeed unlikely to produce much publishable work) versus undergraduates working in collaborations with faculty. For example, the well-known Duluth REU run by Gallian states they have over 200 published papers, in professional journals. These papers seem to be no more likely to be "uninteresting to anyone" than all the other papers in those journals :) See d.umn.edu/~jgallian/progbib.html –  Oswald Veblen Commented Jul 29, 2015 at 22:31
• 3 @JackBauer - see the link that OswaldVeblen provided. All those papers were written by undergrads. Personally I coauthored an REU paper as an undergraduate, and my undergraduate thesis also had original results in graph theory, but I went into computer programming for a couple years and didn't publish before those results ended up (completely independently) as part of someone else's PhD dissertation. If you want details, e-mail me; I'm using my real name and can be easily found by Google. –  Alexander Woo Commented Jul 30, 2015 at 22:49

The answers so far contain a yes and a no, so let me add a yes-and-no.

Undergraduates can - and often do - prove new things, but hardly ever anything of importance. It is up to the advisor to find an interesting question which is simple enough to serve as the topic of a thesis, but not yet dealt with in the literature. Different from a Ph.D., a bachelor or master thesis is heavily constrained in time, so as an advisor you should only give a topic if you are pretty certain that something can be done by an unexperienced researcher in short time. On the other hand just repeating the literature is boring for the student. One way to find good topics is to look at what is often referred to as folklore: Every textbook contains the theorem that X implies Y, and every expert knows that quasi-X already suffices, but noone bothered to write it up. This will most probably not be worth a publication, but proving a theorem not yet contained in the literature is motivating. Another simple method is looking at all the things you excluded from your own papers. If you worked out an example, but did not include it in a publication, you can let the student generalize it.

What you should not do is ask a student a problem you are really interested in. First the student will be frustrated, because the problem is too hard for him, then you will be frustrated, because you will spend much more time explaining things to him then you would need to find the results for yourself, and finally everyone is frustrated, because you find an answer and have to explain it to the student.

• 3 "Every textbook contains the theorem that X implies Y, and every expert knows that quasi-X already suffices, but noone bothered to write it up." Are there a lot of things like that just lying around? For example? –  BCLC Commented Jul 30, 2015 at 16:03
• 1 If someone proves a result, which only serves as a tool, the conditions are quite often too restrictive. For example, Hilbert space is used where reflexive Banach space suffices, or compact can often be replaced by countably compact. In number theory you can look at older paper using exponential sums, and see what improvements for the latter yield in the application. –  Jan-Christoph Schlage-Puchta Commented Jul 31, 2015 at 16:59
• Jan-Christoph Schlage-Puchta, "the conditions are quite often too restrictive", do you mean it wouldn't be of interest to many mathematicians anyway? –  BCLC Commented Aug 5, 2015 at 12:04
• 3 When talking about topics for a Bachelor or Master thesis, I think about problems which are open in the sense that they are not published, but solved in the sense that every expert in the area could immediately write down a proof. So I don't think these questions are interesting to other people. –  Jan-Christoph Schlage-Puchta Commented Aug 10, 2015 at 7:51
• 1 @JackBauer Most of the work is in figuring out what these things are. If I had an example which I knew well enough to cite it here, probably somebody would have proved it. –  Ben Webster Commented Aug 11, 2015 at 17:17

Yes, undergraduates frequently prove new things, in the sense that every year there are new, publishable results proved by undergraduates. So, although a relatively small number of undergraduate math students participate in true "research", there are certainly students who are able to make nontrivial discoveries as undergraduates, and more than one might initially think. I have been at prestigious research schools and at anti-prestigious regional universites in the U.S.A. At every school I have been, there were undergraduates in mathematics with the aptitude for publishable research. The talent needed may not be "common", but it is certainly not "rare". The obstacles are primarily cultural, not intellectual.

The topic of undergraduate research has also been the subject of a question on MathOverflow , which makes for good reading.

For an example from personal experience: I recently published a peer-reviewed paper in what I consider to be a high-quality journal (and which is not in any way a "student" journal), with an undergraduate student co-author, who discovered the proof of one of the main theorems on his own between two of our research meetings.

Another example is the journal Involve , which is devoted to genuine student research. From their self-description :

Involve showcases and encourages high-quality mathematical research involving students from all academic levels. The editorial board consists of mathematical scientists committed to nurturing student participation in research. Submissions in all mathematical areas are encouraged. All manuscripts accepted for publication in Involve are considered publishable in quality journals in their respective fields, and include a minimum of one-third student authorship. Submissions should include substantial faculty input; faculty co-authorship is strongly encouraged. In most cases, the submission (and accompanying cover letter) should come from a faculty member. Involve, bridging the gap between the extremes of purely undergraduate-research journals and mainstream research journals, provides a venue to mathematicians wishing to encourage the creative involvement of students.

One thing that undergraduates are unlikely to have is the breadth of knowledge that is expected for PhD recipients. Particularly in mathematics, PhD students are examined in a range of subjects, and are expected to have mastered large parts of the undergraduate curriculum. Undergraduate research often involves learning enough about one particular area to prove new theorems. The student still needs to spend time learning other areas to have the knowledge expected of a PhD.

The real key for undergraduates who are looking to do publishable research is to find a collaboration with a good faculty mentor. Independent research by undergraduates is indeed quite rare (in fact, the majority of mathematics papers currently published have two or more authors - even experts benefit from collaboration). The MathOverflow thread linked above has more advice from other mathematicians.

• 1 Thanks Oswald. Your example is kind of strange. WOuld your undergraduate co-author even have the opportunity to do such if not for knowing you? –  BCLC Commented Jul 29, 2015 at 18:41
• 1 Perhaps I should have said: I heard a PhD is like an original contribution or something. Doesn't proving something new kind of amount to an original contribution? Again, I understand this may seem stupid. –  BCLC Commented Jul 29, 2015 at 18:42
• 5 I wouldn't say undergraduates frequently prove new things, especially not in pure math. A small number of math undergraduates do serious research and even fewer make major contributions to the work. Most undergraduates hardly have the mathematical chops and insight to make major contributions simply due to lack of enough exposure. –  Cameron Williams Commented Jul 29, 2015 at 19:06
• 2 I respectfully disagree. I'm saying that you're way over-inflating how successful undergraduate students are and my guess is that it's because you've worked with some very successful ones. My point is that on average, so very few that actually do research make contributions. Hell, successful PhD students maybe end up with only one or two papers by the time they're finished. –  Cameron Williams Commented Jul 29, 2015 at 19:47
• 5 So far, I've worked with three (sets of) students at a non-selective school, resulting in three peer-reviewed papers that, in their journals, are indistinguishable from any other research. The students all met the usual standards for co-authorship. (This record is partially because, as a researcher, I know enough to pick math problems where we are likely to find publishable contributions.) When I was at prestigious research schools, I saw even more math majors who would have been able to work on publishable research as undergrads. As I wrote, the issue is much more culture than aptitude. –  Oswald Veblen Commented Jul 29, 2015 at 21:51

I can tell you my experience as I am currently writing an undergraduate thesis (though as a summer project).

I am an undergraduate student in mathematics currently doing a summer « introduction to research » internship. I'm studying probability theory.

As a first year student, about half of my time was spent solidifying my mathematical background in probability, measure theory and analysis. I also spent quite a lot of time studying specialised articles, and finally I applied the general theory I studied to a specific problem, where I did prove something « new », while very closely following other published results. On the way there, I also proved a few lemmas, that, while not of general interest, are « new » and interesting to me.

Clearly, undergraduate students are not expected to find groundbreaking results of general interest. However, they can contribute to mathematics by summarising and gathering related results from multiple articles, applying new theories, finding examples, etc.

A word of advice.

You should not aim for great discoveries, but rather simply try to do your own mathematics. Ask yourself a lot of « stupid » questions and find their answers. That's how you'll end up with a few small new results. Make sure you can grasp the big picture of your field of study, that you look at it from a critical standpoint and that you understand the issues that motivate it.

Do math undergraduates frequently prove new things?

Yes. But not great things, and sometimes things that might already be known to experts (but not widely accessible). I think that it is good enough for an undergrad to prove things that are new to him/her and her classmates/advisor/etc.

Some of the implicit premises of these sorts of questions, or the implicit premises in responses to the question, are really the issue. I would heartily agree that undergrads of all "calibers" should "be in the room" when something resembling "live" mathematics is being discussed. But/and this is most meaningful when we look at the falseness, artificiality, and sterility of the typical undergrad curriculum: it's fake and moribund, with no immediate room for anyone to do anything at all, and no hints about reality, either. Ghastly, yes. But that does not immediately entail a sort of "opposite", that novices need know very little to make meaningful contributions. Raw cleverness has already been exercised, quite systematically, for some hundreds of years (thousands?). People have learned useful things, and to not know these is to not know how to change a tire, or a light bulb, or a furnace filter, or open the door. Not that the usual curriculum helps much, either, I agree! But that does not mean that basic operational skills (involving occasionally subtle mathematics, literally, here) are irrelevant. Getting outside the degenerate "school math" thang is excellent... but thinking that that means "we don't need to know anything!" is obviously silly... even if appealing. "Complicated".

You must log in to answer this question.

Not the answer you're looking for browse other questions tagged mathematics research-undergraduate ..

• Featured on Meta
• We spent a sprint addressing your requests — here’s how it went
• Upcoming initiatives on Stack Overflow and across the Stack Exchange network...

Hot Network Questions

• Is there a way to do artificial gravity testing of spacecraft on the ground in KSP?
• What is the purpose of the BJT in this circuit?
• If a lambda is declared as a default argument, is it different for each call site?
• Will 2.1" schwalbe MTB tire in 25mm rim become wider that 2.25" in 19mm rim?
• Classification of efficient and inefficient algorithms and the scientific reasoning behind them
• Do thermodynamic cycles occur only in human-made machines?
• Is there a customizable version of the `\boldmath` command?
• I want to leave my current job during probation but I don't want to tell the next interviewer I am currently working
• Why does Paul's fight with Feyd-Rautha take so long?
• Greek myth about an athlete who kills another man with a discus
• Why are 16th note apoggiaturas not written as normal 16th notes?
• Why should I meet my advisor even if I have nothing to report?
• Mathematical expression of controlled Ry gate
• Do validators get slashed if they go down?
• Asking advice for implementation of Conservative Finite Difference Scheme for numerically solving Gross-Pitaevskii equation
• Hourly pay rate calculation between Recruiting and Payroll Systems
• Why do I see low voltage in a repaired underground cable?
• Strange Interaction with Professor
• How far back in time have historians estimated the rate of economic growth and the economic power of various empires?
• What is this component - 8 legged inductor?
• Basic stems that end in "w"?
• Is there a generalization of factoring that can be extended to the Real numbers?
• mirrorlist.centos.org no longer resolve?
• Concrete works by Alexandre Grothendieck, other than Dessin d'Enfants?

Megamenu Global

Megamenu featured, megamenu social, math/stats thesis and colloquium topics.

Updated: April 2024

Math/Stats Thesis and Colloquium Topics 2024- 2025

The degree with honors in Mathematics or Statistics is awarded to the student who has demonstrated outstanding intellectual achievement in a program of study which extends beyond the requirements of the major. The principal considerations for recommending a student for the degree with honors will be: Mastery of core material and skills, breadth and, particularly, depth of knowledge beyond the core material, ability to pursue independent study of mathematics or statistics, originality in methods of investigation, and, where appropriate, creativity in research.

An honors program normally consists of two semesters (MATH/STAT 493 and 494) and a winter study (WSP 031) of independent research, culminating in a thesis and a presentation. Under certain circumstances, the honors work can consist of coordinated study involving a one semester (MATH/STAT 493 or 494) and a winter study (WSP 030) of independent research, culminating in a “minithesis” and a presentation. At least one semester should be in addition to the major requirements, and thesis courses do not count as 400-level senior seminars.

An honors program in actuarial studies requires significant achievement on four appropriate examinations of the Society of Actuaries.

Highest honors will be reserved for the rare student who has displayed exceptional ability, achievement or originality. Such a student usually will have written a thesis, or pursued actuarial honors and written a mini-thesis. An outstanding student who writes a mini-thesis, or pursues actuarial honors and writes a paper, might also be considered. In all cases, the award of honors and highest honors is the decision of the Department.

Here is a list of possible colloquium topics that different faculty are willing and eager to advise. You can talk to several faculty about any colloquium topic, the sooner the better, at least a month or two before your talk. For various reasons faculty may or may not be willing or able to advise your colloquium, which is another reason to start early.

RESEARCH INTERESTS OF MATHEMATICS AND STATISTICS FACULTY

Here is a list of faculty interests and possible thesis topics.  You may use this list to select a thesis topic or you can use the list below to get a general idea of the mathematical interests of our faculty.

Colin Adams (On Leave 2024 – 2025)

Research interests:   Topology and tiling theory.  I work in low-dimensional topology.  Specifically, I work in the two fields of knot theory and hyperbolic 3-manifold theory and develop the connections between the two. Knot theory is the study of knotted circles in 3-space, and it has applications to chemistry, biology and physics.  I am also interested in tiling theory and have been working with students in this area as well.

Hyperbolic 3-manifold theory utilizes hyperbolic geometry to understand 3-manifolds, which can be thought of as possible models of the spatial universe.

Possible thesis topics:

• Investigate various aspects of virtual knots, a generalization of knots.
• Consider hyperbolicity of virtual knots, building on previous SMALL work. For which virtual knots can you prove hyperbolicity?
• Investigate why certain virtual knots have the same hyperbolic volume.
• Consider the minimal Turaev volume of virtual knots, building on previous SMALL work.
• Investigate which knots have totally geodesic Seifert surfaces. In particular, figure out how to interpret this question for virtual knots.
• Investigate n-crossing number of knots. An n-crossing is a crossing with n strands of the knot passing through it. Every knot can be drawn in a picture with only n-crossings in it. The least number of n-crossings is called the n-crossing number. Determine the n-crossing number for various n and various families of knots.
• An übercrossing projection of a knot is a projection with just one n-crossing. The übercrossing number of a knot is the least n for which there is such an übercrossing projection. Determine the übercrossing number for various knots, and see how it relates to other traditional knot invariants.
• A petal projection of a knot is a projection with just one n-crossing such that none of the loops coming out of the crossing are nested. In other words, the projection looks like a daisy. The petal number of a knot is the least n for such a projection. Determine petal number for various knots, and see how it relates to other traditional knot invariants.
• In a recent paper, we extended petal number to virtual knots. Show that the virtual petal number of a classical knot is equal to the classical petal number of the knot (This is a GOOD question!)
• Similarly, show that the virtual n-crossing number of a classical knot is equal to the classical n-crossing number. (This is known for n = 2.)
• Find tilings of the branched sphere by regular polygons. This would extend work of previous research students. There are lots of interesting open problems about something as simple as tilings of the sphere.
• Other related topics.

Possible colloquium topics : Particularly interested in topology, knot theory, graph theory, tiling theory and geometry but will consider other topics.

Christina Athanasouli

Research Interests:   Differential equations, dynamical systems (both smooth and non-smooth), mathematical modeling with applications in biological and mechanical systems

My research focuses on analyzing mathematical models that describe various phenomena in Mathematical Neuroscience and Engineering. In particular, I work on understanding 1) the underlying mechanisms of human sleep (e.g. how sleep patterns change with development or due to perturbations), and 2) potential design or physical factors that may influence the dynamics in vibro-impact mechanical systems for the purpose of harvesting energy. Mathematically, I use various techniques from dynamical systems and incorporate both numerical and analytical tools in my work. 

Possible colloquium topics:   Topics in applied mathematics, such as:

• Mathematical modeling of sleep-wake regulation
• Mathematical modeling vibro-impact systems
• Bifurcations/dynamics of mathematical models in Mathematical Neuroscience and Engineering
• Bifurcations in piecewise-smooth dynamical systems

Julie Blackwood

Research Interests:   Mathematical modeling, theoretical ecology, population biology, differential equations, dynamical systems.

My research uses mathematical models to uncover the complex mechanisms generating ecological dynamics, and when applicable emphasis is placed on evaluating intervention programs. My research is in various ecological areas including ( I ) invasive species management by using mathematical and economic models to evaluate the costs and benefits of control strategies, and ( II ) disease ecology by evaluating competing mathematical models of the transmission dynamics for both human and wildlife diseases.

• Mathematical modeling of invasive species
• Mathematical modeling of vector-borne or directly transmitted diseases
• Developing mathematical models to manage vector-borne diseases through vector control
• Other relevant topics of interest in mathematical biology

Each topic (1-3) can focus on a case study of a particular invasive species or disease, and/or can investigate the effects of ecological properties (spatial structure, resource availability, contact structure, etc.) of the system.

Possible colloquium topics:   Any topics in applied mathematics, such as:

Research Interest :  Statistical methodology and applications.  One of my research topics is variable selection for high-dimensional data.  I am interested in traditional and modern approaches for selecting variables from a large candidate set in different settings and studying the corresponding theoretical properties. The settings include linear model, partial linear model, survival analysis, dynamic networks, etc.  Another part of my research studies the mediation model, which examines the underlying mechanism of how variables relate to each other.  My research also involves applying existing methods and developing new procedures to model the correlated observations and capture the time-varying effect.  I am also interested in applications of data mining and statistical learning methods, e.g., their applications in analyzing the rhetorical styles in English text data.

• Variable selection uses modern techniques such as penalization and screening methods for several different parametric and semi-parametric models.
• Extension of the classic mediation models to settings with correlated, longitudinal, or high-dimensional mediators. We could also explore ways to reduce the dimensionality and simplify the structure of mediators to have a stable model that is also easier to interpret.
• We shall analyze the English text dataset processed by the Docuscope environment with tools for corpus-based rhetorical analysis. The data have a hierarchical structure and contain rich information about the rhetorical styles used. We could apply statistical models and statistical learning algorithms to reduce dimensions and gain a more insightful understanding of the text.

Possible colloquium topics:  I am open to any problems in statistical methodology and applications, not limited to my research interests and the possible thesis topics above.

Richard De Veaux 

Research interests: Statistics.

My research interests are in both statistical methodology and in statistical applications.  For the first, I look at different methods and try to understand why some methods work well in particular settings, or more creatively, to try to come up with new methods.  For the second, I work in collaboration with an investigator (e.g. scientist, doctor, marketing analyst) on a particular statistical application.  I have been especially interested in problems dealing with large data sets and the associated modeling tools that work for these problems.

• Human Performance and Aging.I have been working on models for assessing the effect of age on performance in running and swimming events. There is still much work to do. So far I’ve looked at masters’ freestyle swimming and running data and a handicapped race in California, but there are world records for each age group and other events in running and swimming that I’ve not incorporated. There are also many other types of events.
• Variable Selection.  How do we choose variables when we have dozens, hundreds or even thousands of potential predictors? Various model selection strategies exist, but there is still a lot of work to be done to find out which ones work under what assumptions and conditions.
• Problems at the interface.In this era of Big Data, not all methods of classical statistics can be applied in practice. What methods scale up well, and what advances in computer science give insights into the statistical methods that are best suited to large data sets?
• Applying statistical methods to problems in science or social science.In collaboration with a scientist or social scientist, find a problem for which statistical analysis plays a key role.

Possible colloquium topics:

• Almost any topic in statistics that extends things you’ve learned in courses —  specifically topics in Experimental design, regression techniques or machine learning
• Model selection problems

Thomas Garrity (On Leave 2024 – 2025)

Research interest:   Number Theory and Dynamics.

My area of research is officially called “multi-dimensional continued fraction algorithms,” an area that touches many different branches of mathematics (which is one reason it is both interesting and rich).  In recent years, students writing theses with me have used serious tools from geometry, dynamics, ergodic theory, functional analysis, linear algebra, differentiability conditions, and combinatorics.  (No single person has used all of these tools.)  It is an area to see how mathematics is truly interrelated, forming one coherent whole.

While my original interest in this area stemmed from trying to find interesting methods for expressing real numbers as sequences of integers (the Hermite problem), over the years this has led to me interacting with many different mathematicians, and to me learning a whole lot of math.  My theses students have had much the same experiences, including the emotional rush of discovery and the occasional despair of frustration.  The whole experience of writing a thesis should be intense, and ultimately rewarding.   Also, since this area of math has so many facets and has so many entrance points, I have had thesis students from wildly different mathematical backgrounds do wonderful work; hence all welcome.

• Generalizations of continued fractions.
• Using algebraic geometry to study real submanifolds of complex spaces.

Possible colloquium topics:   Any interesting topic in mathematics.

Leo Goldmakher

Research interests:   Number theory and arithmetic combinatorics.

I’m interested in quantifying structure and randomness within naturally occurring sets or sequences, such as the prime numbers, or the sequence of coefficients of a continued fraction, or a subset of a vector space. Doing so typically involves using ideas from analysis, probability, algebra, and combinatorics.

Possible thesis topics:  

Anything in number theory or arithmetic combinatorics.

Possible colloquium topics:   I’m happy to advise a colloquium in any area of math.

Susan Loepp

Research interests: Commutative Algebra.  I study algebraic structures called commutative rings.  Specifically, I have been investigating the relationship between local rings and their completion.  One defines the completion of a ring by first defining a metric on the ring and then completing the ring with respect to that metric.  I am interested in what kinds of algebraic properties a ring and its completion share.  This relationship has proven to be intricate and quite surprising.  I am also interested in the theory of tight closure, and Homological Algebra.

Topics in Commutative Algebra including:

• Using completions to construct Noetherian rings with unusual prime ideal structures.
• What prime ideals of C[[ x 1 ,…, x n ]] can be maximal in the generic formal fiber of a ring? More generally, characterize what sets of prime ideals of a complete local ring can occur in the generic formal fiber.
• Characterize what sets of prime ideals of a complete local ring can occur in formal fibers of ideals with height n where n ≥1.
• Characterize which complete local rings are the completion of an excellent unique factorization domain.
• Explore the relationship between the formal fibers of R and S where S is a flat extension of R .
• Determine which complete local rings are the completion of a catenary integral domain.
• Determine which complete local rings are the completion of a catenary unique factorization domain.

Possible colloquium topics:   Any topics in mathematics and especially commutative algebra/ring theory.

Steven Miller

For more information and references, see http://www.williams.edu/Mathematics/sjmiller/public_html/index.htm

Research interests :  Analytic number theory, random matrix theory, probability and statistics, graph theory.

My main research interest is in the distribution of zeros of L-functions.  The most studied of these is the Riemann zeta function, Sum_{n=1 to oo} 1/n^s.  The importance of this function becomes apparent when we notice that it can also be written as Prod_{p prime} 1 / (1 – 1/p^s); this function relates properties of the primes to those of the integers (and we know where the integers are!).  It turns out that the properties of zeros of L-functions are extremely useful in attacking questions in number theory.  Interestingly, a terrific model for these zeros is given by random matrix theory: choose a large matrix at random and study its eigenvalues.  This model also does a terrific job describing behavior ranging from heavy nuclei like Uranium to bus routes in Mexico!  I’m studying several problems in random matrix theory, which also have applications to graph theory (building efficient networks).  I am also working on several problems in probability and statistics, especially (but not limited to) sabermetrics (applying mathematical statistics to baseball) and Benford’s law of digit bias (which is often connected to fascinating questions about equidistribution).  Many data sets have a preponderance of first digits equal to 1 (look at the first million Fibonacci numbers, and you’ll see a leading digit of 1 about 30% of the time).  In addition to being of theoretical interest, applications range from the IRS (which uses it to detect tax fraud) to computer science (building more efficient computers).  I’m exploring the subject with several colleagues in fields ranging from accounting to engineering to the social sciences.

Possible thesis topics: 

• Theoretical models for zeros of elliptic curve L-functions (in the number field and function field cases).
• Studying lower order term behavior in zeros of L-functions.
• Studying the distribution of eigenvalues of sets of random matrices.
• Exploring Benford’s law of digit bias (both its theory and applications, such as image, voter and tax fraud).
• Propagation of viruses in networks (a graph theory / dynamical systems problem). Sabermetrics.
• Additive number theory (questions on sum and difference sets).

Possible colloquium topics: 

Plus anything you find interesting.  I’m also interested in applications, and have worked on subjects ranging from accounting to computer science to geology to marketing….

Ralph Morrison

Research interests:   I work in algebraic geometry, tropical geometry, graph theory (especially chip-firing games on graphs), and discrete geometry, as well as computer implementations that study these topics. Algebraic geometry is the study of solution sets to polynomial equations.  Such a solution set is called a variety.  Tropical geometry is a “skeletonized” version of algebraic geometry. We can take a classical variety and “tropicalize” it, giving us a tropical variety, which is a piecewise-linear subset of Euclidean space.  Tropical geometry combines combinatorics, discrete geometry, and graph theory with classical algebraic geometry, and allows for developing theory and computations that tell us about the classical varieties.  One flavor of this area of math is to study chip-firing games on graphs, which are motivated by (and applied to) questions about algebraic curves.

Possible thesis topics : Anything related to tropical geometry, algebraic geometry, chip-firing games (or other graph theory topics), and discrete geometry.  Here are a few specific topics/questions:

• Study the geometry of tropical plane curves, perhaps motivated by results from algebraic geometry.  For instance:  given 5 (algebraic) conics, there are 3264 conics that are tangent to all 5 of them.  What if we look at tropical conics–is there still a fixed number of tropical conics tangent to all of them?  If so, what is that number?  How does this tropical count relate to the algebraic count?
• What can tropical plane curves “look like”?  There are a few ways to make this question precise.  One common way is to look at the “skeleton” of a tropical curve, a graph that lives inside of the curve and contains most of the interesting data.  Which graphs can appear, and what can the lengths of its edges be?  I’ve done lots of work with students on these sorts of questions, but there are many open questions!
• What can tropical surfaces in three-dimensional space look like?  What is the version of a skeleton here?  (For instance, a tropical surface of degree 4 contains a distinguished polyhedron with at most 63 facets. Which polyhedra are possible?)
• Study the geometry of tropical curves obtained by intersecting two tropical surfaces.  For instance, if we intersect a tropical plane with a tropical surface of degree 4, we obtain a tropical curve whose skeleton has three loops.  How can those loops be arranged?  Or we could intersect degree 2 and degree 3 tropical surfaces, to get a tropical curve with 4 loops; which skeletons are possible there?
• One way to study tropical geometry is to replace the usual rules of arithmetic (plus and times) with new rules (min and plus).  How do topics like linear algebra work in these fields?  (It turns out they’re related to optimization, scheduling, and job assignment problems.)
• Chip-firing games on graphs model questions from algebraic geometry.  One of the most important comes in the “gonality” of a graph, which is the smallest number of chips on a graph that could eliminate (via a series of “chip-firing moves”) an added debt of -1 anywhere on the graph.  There are lots of open questions for studying the gonality of graphs; this include general questions, like “What are good lower bounds on gonality?” and specific ones, like “What’s the gonality of the n-dimensional hypercube graph?”
• We can also study versions of gonality where we place -r chips instead of just -1; this gives us the r^th gonality of a graph.  Together, the first, second, third, etc. gonalities form the “gonality sequence” of a graph.  What sequences of integers can be the gonality sequence of some graph?  Is there a graph whose gonality sequence starts 3, 5, 8?
• There are many computational and algorithmic questions to ask about chip-firing games.  It’s known that computing the gonality of a general graph is NP-hard; what if we restrict to planar graphs?  Or graphs that are 3-regular? And can we implement relatively efficient ways of computing these numbers, at least for small graphs?
• What if we changed our rules for chip-firing games, for instance by working with chips modulo N?  How can we “win” a chip-firing game in that context, since there’s no more notion of debt?
• Study a “graph throttling” version of gonality.  For instance, instead of minimizing the number of chips we place on the graph, maybe we can also try to decrease the number of chip-firing moves we need to eliminate debt.
• Chip-firing games lead to interesting questions on other topics in graph theory.  For instance, there’s a conjectured upper bound of (|E|-|V|+4)/2 on the gonality of a graph; and any graph is known to have gonality at least its tree-width.  Can we prove the (weaker) result that (|E|-|V|+4)/2 is an upper bound on tree-width?  (Such a result would be of interest to graph theorists, even the idea behind it comes from algebraic geometry!)
• Topics coming from discrete geometry.  For example:  suppose you want to make “string art”, where you have one shape inside of another with string weaving between the inside and the outside shapes.  For which pairs of shapes is this possible?

Possible Colloquium topics:   I’m happy to advise a talk in any area of math, but would be especially excited about talks related to algebra, geometry, graph theory, or discrete mathematics.

Shaoyang Ning (On Leave 2024 – 2025)

Research Interest :  Statistical methodologies and applications. My research focuses on the study and design of statistical methods for integrative data analysis, in particular, to address the challenges of increasing complexity and connectivity arising from “Big Data”. I’m interested in innovating statistical methods that efficiently integrate multi-source, multi-resolution information to solve real-life problems. Instances include tracking localized influenza with Google search data and predicting cancer-targeting drugs with high-throughput genetic profiling data. Other interests include Bayesian methods, copula modeling, and nonparametric methods.

• Digital (disease) tracking: Using Internet search data to track and predict influenza activities at different resolutions (nation, region, state, city); Integrating other sources of digital data (e.g. Twitter, Facebook) and/or extending to track other epidemics and social/economic events, such as dengue, presidential approval rates, employment rates, and etc.
• Predicting cancer drugs with multi-source profiling data: Developing new methods to aggregate genetic profiling data of different sources (e.g., mutations, expression levels, CRISPR knockouts, drug experiments) in cancer cell lines to identify potential cancer-targeting drugs, their modes of actions and genetic targets.
• Social media text mining: Developing new methods to analyze and extract information from social media data (e.g. Reddit, Twitter). What are the challenges in analyzing the large-volume but short-length social media data? Can classic methods still apply? How should we innovate to address these difficulties?
• Copula modeling: How do we model and estimate associations between different variables when they are beyond multivariate Normal? What if the data are heavily dependent in the tails of their distributions (commonly observed in stock prices)? What if dependence between data are non-symmetric and complex? When the size of data is limited but the dimension is large, can we still recover their correlation structures? Copula model enables to “link” the marginals of a multivariate random variable to its joint distribution with great flexibility and can just be the key to the questions above.
• Other cross-disciplinary, data-driven projects: Applying/developing statistical methodology to answer an interesting scientific question in collaboration with a scientist or social scientist.

Possible colloquium topics:   Any topics in statistical methodology and application, including but not limited to: topics in applied statistics, Bayesian methods, computational biology, statistical learning, “Big Data” mining, and other cross-disciplinary projects.

Anna Neufeld

Research interests:  My research is motivated by the gap between classical statistical tools and practical data analysis. Classic statistical tools are designed for testing a single hypothesis about a single, pre-specified model. However, modern data analysis is an adaptive process that involves exploring the data, fitting several models, evaluating these models, and then testing a potentially large number of hypotheses about one or more selected models. With this in mind, I am interested in topics such as (1) methods for model validation and selection, (2) methods for testing data-driven hypotheses (post-selection inference), and (3) methods for testing a large number of hypotheses. I am also interested in any applied project where I can help a scientist rigorously answer an important question using data. 

• Cross-validation for unsupervised learning. Cross-validation is one of the most widely-used tools for model validation, but, in its typical form, it cannot be used for unsupervised learning problems. Numerous ad-hoc proposals exist for validating unsupervised learning models, but there is a need to compare and contrast these proposals and work towards a unified approach.
• Identifying the number of cell types in single-cell genomics datasets. This is an application of the topic above, since the cell types are typically estimated via unsupervised learning.
• There is growing interest in “post-prediction inference”, which is the task of doing valid statistical inference when some inputs to your statistical model are the outputs of other statistical models (i.e. predictions). Frameworks have recently been proposed for post-prediction inference in the setting where you have access to a gold-standard dataset where the true inputs, rather than the predicted inputs, have been observed. A thesis could explore the possibility of post-prediction inference in the absence of this gold-standard dataset.
• Any other topic of student interest related to selective inference, multiple testing, or post-prediction inference.
• Any collaborative project in which we work with a scientist to identify an interesting question in need of non-standard statistics.
• I am open to advising colloquia in almost any area of statistical methodology or applications, including but not limited to: multiple testing, post-selection inference, post-prediction inference, model selection, model validation, statistical machine learning, unsupervised learning, or genomics.

Allison Pacelli

Research interests:   Math Education, Math & Politics, and Algebraic Number Theory.

Math Education.  Math education is the study of the practice of teaching and learning mathematics, at all levels. For example, do high school calculus students learn best from lecture or inquiry-based learning? What mathematical content knowledge is critical for elementary school math teachers? Is a flipped classroom more effective than a traditional learning format? Many fascinating questions remain, at all levels of education. We can talk further to narrow down project ideas.

Math & Politics.  The mathematics of voting and the mathematics of fair division are two fascinating topics in the field of mathematics and politics. Research questions look at types of voting systems, and the properties that we would want a voting system to satisfy, as well as the idea of fairness when splitting up a single object, like cake, or a collection of objects, such as after a divorce or a death.

Algebraic Number Theory.  The Fundamental Theorem of Arithmetic states that the ring of integers is a unique factorization domain, that is, every integer can be uniquely factored into a product of primes. In other rings, there are analogues of prime numbers, but factorization into primes is not necessarily unique!

In order to determine whether factorization into primes is unique in the ring of integers of a number field or function field, it is useful to study the associated class group – the group of equivalence classes of ideals. The class group is trivial if and only if the ring is a unique factorization domain. Although the study of class groups dates back to Gauss and played a key role in the history of Fermat’s Last Theorem, many basic questions remain open.

  Possible thesis topics:

• Topics in math education, including projects at the elementary school level all the way through college level.
• Topics in voting and fair division.
• Investigating the divisibility of class numbers or the structure of the class group of quadratic fields and higher degree extensions.
• Exploring polynomial analogues of theorems from number theory concerning sums of powers, primes, divisibility, and arithmetic functions.

Possible colloquium topics:   Anything in number theory, algebra, or math & politics.

Anna Plantinga

Research interests:   I am interested in both applied and methodological statistics. My research primarily involves problems related to statistical analysis within genetics, genomics, and in particular the human microbiome (the set of bacteria that live in and on a person).  Current areas of interest include longitudinal data, distance-based analysis methods such as kernel machine regression, high-dimensional data, and structured data.

• Impacts of microbiome volatility. Sometimes the variability of a microbial community is more indicative of an unhealthy community than the actual bacteria present. We have developed an approach to quantifying microbiome variability (“volatility”). This project will use extensive simulations to explore the impact of between-group differences in volatility on a variety of standard tests for association between the microbiome and a health outcome.
• Accounting for excess zeros (sparse feature matrices). Often in a data matrix with many zeros, some of the zeros are “true” or “structural” zeros, whereas others are simply there because we have fewer observations for some subjects. How we account for these zeros affects analysis results. Which methods to account for excess zeros perform best for different analyses?
• Longitudinal methods for compositional data. When we have longitudinal data, we assume the same variables are measured at every time point. For high-dimensional compositions, this may not be the case. We would generally assume that the missing component was absent at any time points for which it was not measured. This project will explore alternatives to making that assumption.
• Applied statistics research. In collaboration with a scientist or social scientist, use appropriate statistical methodology (or variations on existing methods) to answer an interesting scientific question.

Any topics in statistical application, education, or methodology, including but not restricted to:

• Topics in applied statistics.
• Methods for microbiome data analysis.
• Statistical genetics.
• Electronic health records.
• Variable selection and statistical learning.
• Longitudinal methods.

Cesar Silva

Research interests :  Ergodic theory and measurable dynamics; in particular mixing properties and rank one examples, and infinite measure-preserving and nonsingular transformations and group actions.  Measurable dynamics of transformations defined on the p-adic field.  Measurable sensitivity.  Fractals.  Fractal Geometry.

Possible thesis topics:    Ergodic Theory.   Ergodic theory studies the probabilistic behavior of abstract dynamical systems.  Dynamical systems are systems that change with time, such as the motion of the planets or of a pendulum.  Abstract dynamical systems represent the state of a dynamical system by a point in a mathematical space (phase space).  In many cases this space is assumed to be the unit interval [0,1) with Lebesgue measure.  One usually assumes that time is measured at discrete intervals and so the law of motion of the system is represented by a single map (or transformation) of the phase space [0,1).  In this case one studies various dynamical behaviors of these maps, such as ergodicity, weak mixing, and mixing.  I am also interested in studying the measurable dynamics of systems defined on the p-adics numbers.  The prerequisite is a first course in real analysis.  Topological Dynamics.  Dynamics on compact or locally compact spaces.

Topics in mathematics and in particular:

• Any topic in measure theory.  See for example any of the first few chapters in “Measure and Category” by J. Oxtoby. Possible topics include the Banach-Tarski paradox, the Banach-Mazur game, Liouville numbers and s-Hausdorff measure zero.
• Topics in applied linear algebra and functional analysis.
• Fractal sets, fractal generation, image compression, and fractal dimension.
• Dynamics on the p-adic numbers.
• Banach-Tarski paradox, space filling curves.

Mihai Stoiciu

Research interests: Mathematical Physics and Functional Analysis. I am interested in the study of the spectral properties of various operators arising from mathematical physics – especially the Schrodinger operator. In particular, I am investigating the distribution of the eigenvalues for special classes of self-adjoint and unitary random matrices.

Topics in mathematical physics, functional analysis and probability including:

• Investigate the spectrum of the Schrodinger operator. Possible research topics: Find good estimates for the number of bound states; Analyze the asymptotic growth of the number of bound states of the discrete Schrodinger operator at large coupling constants.
• Study particular classes of orthogonal polynomials on the unit circle.
• Investigate numerically the statistical distribution of the eigenvalues for various classes of random CMV matrices.
• Study the general theory of point processes and its applications to problems in mathematical physics.

Possible colloquium topics:  

Any topics in mathematics, mathematical physics, functional analysis, or probability, such as:

• The Schrodinger operator.
• Orthogonal polynomials on the unit circle.
• Statistical distribution of the eigenvalues of random matrices.
• The general theory of point processes and its applications to problems in mathematical physics.

Elizabeth Upton

Research Interests: My research interests center around network science, with a focus on regression methods for network-indexed data. Networks are used to capture the relationships between elements within a system. Examples include social networks, transportation networks, and biological networks. I also enjoy tackling problems with pragmatic applications and am therefore interested in applied interdisciplinary research.

• Regression models for network data: how can we incorporate network structure (and dependence) in our regression framework when modeling a vertex-indexed response?
• Identify effects shaping network structure. For example, in social networks, the phrase “birds of a feather flock together” is often used to describe homophily. That is, those who have similar interests are more likely to become friends. How can we capture or test this effect, and others, in a regression framework when modeling edge-indexed responses?
• Extending models for multilayer networks. Current methodologies combine edges from multiple networks in some sort of weighted averaging scheme. Could a penalized multivariate approach yield a more informative model?
• Developing algorithms to make inference on large networks more efficient.
• Any topic in linear or generalized linear modeling (including mixed-effects regression models, zero-inflated regressions, etc.).
• Applied statistics research. In collaboration with a scientist or social scientist, use appropriate statistical methodology to answer an interesting scientific question.
• Any applied statistics research project/paper
• Topics in linear or generalized linear modeling
• Network visualizations and statistics

Stack Exchange Network

Stack Exchange network consists of 183 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

Q&A for work

Connect and share knowledge within a single location that is structured and easy to search.

Does writing a bachelor thesis make sense?

I am a math student in my fourth semester. At my university, it is common to write a bachelor-thesis in the end of the bachelor program in almost all subjects while in the math undergraduate program there is none. As I asked around why there is none, I often got the answer that a math student with such a "small" amount of mathematical knowledge is just not able to write a proper scientific paper. I absolutely agree with this argument, but I also know that there are other universities offering a bachelor thesis in math.

So I went to one of our advisers and asked him what he thinks about it and if there is maybe a possibility to write a small paper during my undergraduate studies. He answered that if I find a good topic and I can persuade one of my professors to be the advisor, I can write one. But he added that something like this will require a lot of effort from my side and it would maybe be better to invest it in some lectures.

What do you think? Does it make sense to write something like that so early or should I follow the advice and attend lectures instead? Did you write a bachelor thesis? Is there maybe a list with accurate topics such that I could look over it?

P.S I hope this is not off topic... otherwise let me know and I will immediately delete the question.

• soft-question

• $\begingroup$ I think this is a good question, but it should be asked on matheducators.stackexchange.com $\endgroup$ –  user35603 Commented Apr 12, 2014 at 12:43
• $\begingroup$ @user35603 I didnt know about this SE. Thanks a lot! $\endgroup$ –  Thorben Commented Apr 12, 2014 at 12:44
• $\begingroup$ Please avoid the tags undergraduate-research and research . We are trying to remove them. $\endgroup$ –  Caleb Stanford Commented Jul 24, 2016 at 19:53

3 Answers 3

Yes. It's true that the undergraduate knows almost nothing and would certainly be not qualified to write an original scientific paper. But there are some advantages:

You do not know enough to write an original essay, but if you write it, you'll get used to writing academic papers: You get used to $\LaTeX$, you get used to the schedule of an academic paper, etc.

At some universities, these papers made by undergraduate students do not need to be something original, suppose you make a small calculus book that has a nice (and easy to write) feature, you're helping others to learn. The work might not be original, but it's useful anyway.

• 1 $\begingroup$ Your first point is actually the reason I am still thinking about it. Since I have to wirte a thesis in my Master anyway it would somehow make sense to gain first experiance by already writting a "paper" during my bachelor. $\endgroup$ –  Thorben Commented Apr 12, 2014 at 12:50

You'll have to first look carefully at what are the requirements of a bachelor's thesis if you choose to embark on writing one. Doing original mathematics research that you can write up in a form that is basically suitable for publication is a complex process that usually cannot be undertaken solely by an undergraduate. You would need a good adviser to help you in your project. Such an adviser should ideally be able to (1) come up with one or more problems that are suitable for undergraduates (this often involves knowing the literature in one field of mathematics fairly well and translating a more general problem in the literature into a special case that is suitable for an undergraduate's current background level); (2) be able to offer hints and suggestions when your first attempts to solve the problem inevitably fail (i.e. you're supposed to struggle with a problem if it is one that is in need of an original solution); and (3) guide you through the process of turning your discovered results into a well-written publication.

At many universities, the requirement that an undergraduate contribute original research in this strict sense of solving an unsolved problem is typically relaxed. Often, it is acceptable for an undergraduate to write an expository paper on an advanced topic in mathematics. Thus, issues (1) and (2) above are replaced with an adviser being able to (1') select an appropriate level of advancement for the type of project you are interested (i.e. not too simple and not too difficult) and (2') suggest specific references to consult and specific examples to work out to help you understand the topic well enough to be able to explain to others.

The latter task is much more feasible as a first exposure to research. It involves many of the skills that you will use in future research if you decide to pursue a post-graduate degree in mathematics. But it relieves you of the pressure of coming up with new results. You would still learn a lot about mathematical writing and it is certainly not trivial to learn about an advanced topic well enough to be able to write a good expository paper on the topic.

If you decide to pursue a project along the former lines, then you should be sure that you pick an adviser who has some experience with guiding students in this type of project. (Because your university does not require such a bachelor's thesis, this may be a non-trivial task.) You should have a long period of time to work on the project and should get started as soon as possible. Without any experience in mathematical writing, you should aim to complete your research first and obtain results suitable to write up several months before the bachelor's thesis is due. You will need that additional time to learn how to write up your work using LaTeX and will likely have to create many drafts before you produce a suitable document. Trying to do original research at the same time as you are trying to learn how to write a substantial mathematical document for the first time is a recipe for likely disaster.

I think it's a fine idea to embark on a thesis involving research.

Showing you can "learn math" and have learned a solid core of undergraduate math is certainly important.

But it is also important to show that you have the independence, ambition, creativity, and determination to "do math".

The first you can accomplish through taking lectures/classes that cover some of the core concepts expected of a math undergraduate.

The second you can do by deciding upon a thesis topic, doing some preliminary work, as in a literature review, presenting the proposal to a potential advisor, securing an advisor, and most importantly, doing the research and "doing the math" required to write an appropriate thesis. Even better, you might even want to submit it to an appropriate journal that publishes undergraduate and/or graduate research in mathematics.

So if the idea of writing an undergraduate thesis appeal to you, and you are willing to commit to the work involved, then GO FOR IT!

• $\begingroup$ Thanks for this answer. It makes courage :D. But how should I find a topic? I even do not know what are of math I like the most... $\endgroup$ –  Thorben Commented Apr 12, 2014 at 12:53
• $\begingroup$ As amWhy wrote, do it in the area you prefer ! It will be a very good exercise for you. $\endgroup$ –  Claude Leibovici Commented Apr 12, 2014 at 13:48

You must log in to answer this question.

Not the answer you're looking for browse other questions tagged soft-question advice ..

• Featured on Meta
• We spent a sprint addressing your requests — here’s how it went
• Upcoming initiatives on Stack Overflow and across the Stack Exchange network...

Hot Network Questions

• Sort Number Array
• How to Bend a Material Line Procedurally?
• Did Tolkien give his son explicit permission to publish all that unfinished material?
• Strange Interaction with Professor
• Which of the following values cannot the expression take?
• Why does the Egyptian Hieroglyph M8 (pool with lotus flowers) phonetically correspnd to 'Sh' sound?
• Is there a drawback to using Heart's blood rote repeatedly?
• Do validators get slashed if they go down?
• Mathematical expression of controlled Ry gate
• mirrorlist.centos.org no longer resolve?
• Why should I meet my advisor even if I have nothing to report?
• What is the purpose of the BJT in this circuit?
• Geometry Nodes: Delete Overlapping Vertices
• Does Justice Sotomayor's "Seal Team 6" example, in and of itself, explicitly give the President the authority to execute opponents? If not, why not?
• Do United paid upgrades to first class (from economy) count for PQP PQF stuff?
• Classification of efficient and inefficient algorithms and the scientific reasoning behind them
• Sitting on a desk or at a desk? What's the diffrence?
• Does the Grimme D3 correction improve band gaps of vdW heterostructures?
• Are Amalekites considered Edomites Halachically?
• Why do I see low voltage in a repaired underground cable?
• Measure by mass vs. 'Spooned and Leveled'
• Can someone explain the Trump immunity ruling?
• LED does not blink when transmitting/receiving UART
• Position where last x halfmoves are determined

ScholarWorks

Home > A&S > Math > MATH_GRADPROJ

Mathematics Graduate Projects and Theses

Theses/dissertations from 2022 2022.

Relationships Between COVID-19 Infection Rates, Healthcare Access, Socioeconomic Status, and Cultural Diversity , MarGhece P.J. Barnes

The Matrix Sortability Problem , Seth Cleaver

Cognitive Demand of Teacher-Created Mathematics Assessments , Megan Marie Schmidt

Waring Rank and Apolarity of Some Symmetric Polynomials , Max Brian Sullivan

Security Analysis of Lightweight Cryptographic Primitives , William Unger

Regression Analysis of Resilience and COVID-19 in Idaho Counties , Ishrat Zaman

Theses/Dissertations from 2021 2021

Tukey Morphisms Between Finite Binary Relations , Rhett Barton

A Data Adaptive Model for Retail Sales of Electricity , Johanna Marcelia

Exploring the Beginnings of Algebraic K-Theory , Sarah Schott

Zariski Geometries and Quantum Mechanics , Milan Zanussi

Theses/Dissertations from 2020 2020

The Directed Forest Complex of Cayley Graphs , Kennedy Courtney

Beliefs About Effective Instructional Practices Among Middle Grades Teachers of Mathematics , Lauren A. Dale

Analytic Solutions for Diffusion on Path Graphs and Its Application to the Modeling of the Evolution of Electrically Indiscernible Conformational States of Lysenin , K. Summer Ware

Theses/Dissertations from 2019 2019

Dynamic Sampling Versions of Popular SPC Charts for Big Data Analysis , Samuel Anyaso-Samuel

Computable Reducibility of Equivalence Relations , Marcello Gianni Krakoff

On the Fundamental Group of Plane Curve Complements , Mitchell Scofield

Radial Basis Function Finite Difference Approximations of the Laplace-Beltrami Operator , Sage Byron Shaw

Formally Verifying Peano Arithmetic , Morgan Sinclaire

Theses/Dissertations from 2018 2018

Selective Strong Screenability , Isaac Joseph Coombs

Mathematics Student Achievement in the Context of Idaho’s Advanced Opportunities Initiative , Nichole K. Hall

Secure MultiParty Protocol for Differentially-Private Data Release , Anthony Harris

Theses/Dissertations from 2017 2017

A Stable Algorithm for Divergence-Free and Curl-Free Radial Basis Functions in the Flat Limit , Kathryn Primrose Drake

The Classification Problem for Models of ZFC , Samuel Dworetzky

Joint Inversion of Compact Operators , James Ford

Trend and Return Level of Extreme Snow Events in New York City , Mintaek Lee

Multi-Rate Runge-Kutta-Chebyshev Time Stepping for Parabolic Equations on Adaptively Refined Meshes , Talin Mirzakhanian

Investigating College Instructors’ Methods of Differentiation and Derivatives in Calculus Classes , Wedad Mubaraki

The Random Graph and Reciprocity Laws , Spencer M. Nelson

Classification of Vertex-Transitive Structures , Stephanie Potter

Theses/Dissertations from 2016 2016

On the Conjugacy Problem for Automorphisms of Trees , Kyle Douglas Beserra

The Density Topology on the Reals with Analogues on Other Spaces , Stuart Nygard

Latin Squares and Their Applications to Cryptography , Nathan O. Schmidt

Solution Techniques and Error Analysis of General Classes of Partial Differential Equations , Wijayasinghe Arachchige Waruni Nisansala Wijayasinghe

Numerical Computing with Functions on the Sphere and Disk , Heather Denise Wilber

Theses/Dissertations from 2015 2015

The Classical Theory of Rearrangements , Monica Josue Agana

Nonlinear Partial Differential Equations, Their Solutions, and Properties , Prasanna Bandara

The Impact of a Quantitative Reasoning Instructional Approach to Linear Equations in Two Variables on Student Achievement and Student Thinking About Linearity , Paul Thomas Belue

Student Understanding of Function and Success in Calculus , Daniel I. Drlik

Monodromy Representation of the Braid Group , Phillip W. Hart

The Frobenius Problem , Anna Marie Megale

Theses/Dissertations from 2014 2014

Pi-1-1-determinacy and Sharps , Shehzad Ahmed

A Radial Basis Function Partition of Unity Method for Transport on the Sphere , Kevin Aiton

Diagrammatically Reducible 2-Complexes , Tyler Allyn

A Stochastic Parameter Regression Model for Long Memory Time Series , Rose Marie Ocker

Theses/Dissertations from 2013 2013

The Assignment Packet Grading System , Sarah Nichole Bruce

Using Learner-Generated Examples to Support Student Understanding of Functions , Martha Ottelia Dinkelman

Computing Curvature and Curvature Normals on Smooth Logically Cartesian Surface Meshes , John Thomas Hutchins

Schur's Theorem and Related Topics in Ramsey Theory , Summer Lynne Kisner

Theses/Dissertations from 2012 2012

On the Geometry of Virtual Knots , Rachel Elizabeth Byrd

A Stochastic Parameter Regression Approach for Time-Varying Relationship between Gold and Silver Prices , Birsen Canan-McGlone

Uncertainty Analysis of RELAP5-3D© , Alexandra E. Gertman and George L. Mesina

A Statistical Method for Regularizing Nonlinear Inverse Problems , Chad Clifton Hammerquist

Perfect Stripes from a General Turing Model in Different Geometries , Jean Tyson Schneider

Stability and Convergence for Nonlinear Partial Differential Equations , Oday Mohammed Waheeb

Regular Homotopy of Closed Curves on Surfaces , Katherine Kylee Zebedeo

Theses/Dissertations from 2011 2011

Coloring Problems , Thomas Antonio Charles Chartier

Modules Over Localized Group Rings for Groups Mapping Onto Free Groups , Nicholas Davidson

How Do We Help Students Interpret Contingency Tables? A Study on the Use of Proportional Reasoning as an Intervention , Kathleen M. Isaacson

A Fictitious Point Method for Handling Boundary Conditions in the RBF-FD Method , Joseph Lohmeier

Theses/Dissertations from 2010 2010

Developmental Understanding of the Equals Sign and Its Effects on Success in Algebra , Ryan W. Brown

The Inquiry Learning Model as an Approach to Mathematics Instruction , Michael C. Brune

Galois Theory for Differential Equations , Soheila Eghbali

Stably Free Modules Over the Klein Bottle , Andrew Misseldine

Combinatorics and Topology of Curves and Knots , Bailey Ann Ross

Theses/Dissertations from 2009 2009

Concept Booklets: Examining the Performance Effects of Journaling of Mathematics Course Concepts , Todd Stephen Fogdall

Effective Sample Size in Order Statistics of Correlated Data , Neill McGrath

Transparency in Formal Proof , Cap Petschulat

Weight Selection by Misfit Surfaces for Least Squares Estimation , Garrett Saunders

The Effects of a Standards-Based Mathematics Curriculum on the Self-Efficacy and Academic Achievement of Previously Unsuccessful Students , Cindy Chesley Shaw

Analytical Upstream Collocation Solution of a Quadratic Forced Steady-State Convection-Diffusion Equation , Eric Paul Smith

Solvability Characterizations of Pell Like Equations , Jason Smith

Theses/Dissertations from 2008 2008

Tube-Equivalence of Spanning Surfaces and Seifert Surfaces , Thomas Glass

Simple Tests for Short Memory in ARFIMA Models , Timothy A. C. Hughes

Incomparable Metrics on the Cantor Space , Trevor Jack

Richards' Equation and Its Constitutive Relations as a System of Differential-Algebraic Equations , Shannon K. Murray

Theses/Dissertations from 2007 2007

Theorem Proving in Elementary Analysis , Joanna Porter Guild

An Investigation of Lucas Sequences , Dustin E. Hinkel

A Canonical Countryman Line , William Russell Hudson

• Collections
• Disciplines
• SelectedWorks Gallery
• Albertsons Library
• Division of Research
• Graduate College

Advanced Search

• Notify me via email or RSS

Author Corner

Home | About | FAQ | My Account | Accessibility Statement

Privacy Copyright

Universität Bonn

Preparation of the Final Thesis

The mathematics degree programs conclude with a Bachelor's or Master's thesis, in which independent work on a mathematical topic is to be demonstrated. The Examination Board has compiled the most important requirements for theses and some assessment criteria as guidelines.

• Please read the document carefully before you register your thesis.
• When registering the thesis, you confirm with your signature that you have taken note of the requirements in the document.

The teacher training programs also end with a final thesis. This can be completed in the subject mathematics.

Rules for Theses in the Subject-Specific Study Programs

Here you will find the regulations for registering and submitting final theses that apply to both mathematics programs. Specific deadlines and rules are listed under the respective degree program.

As a rule, students find a supervisor for their thesis on their own initiative.

• Every professor of mathematics in Bonn can of course assign topics for theses.
• Many other doctoral lecturers at Bonn Mathematics have been appointed by the Examination Board to supervise theses. You can enquire about this with the person concerned.
• One of the two reviewers must always be a professor of mathematics at Bonn University.
• If you have not found a supervisor yourself, you can also have one assigned to you by the Examination Board . In this case, please contact the Bachelor-Master Office Mathematics.

The thesis must be registered using the form Registration of the Thesis .The form must be signed by both you and the supervisor of the thesis.

• The form must state the topic of the thesis and your first supervisor.
• You also confirm that you have taken note of the requirements for the final theses of your degree program.
• At the same time, you will be registered for the seminar accompanying your thesis.
• The registration form must be submitted to the Bachelor-Master Office Mathematics immediately after the topic has been assigned and within four weeks of the supervisor's signature.
• If the registration form is received in February or August, the thesis can still be assessed in the semester in which it is submitted.
• For the accompanying thesis seminar you earn 6 credit points. It is registered for the semester in which your thesis is due for submission.
• During the time you are working on your thesis, there are usually three presentations in the thesis seminar on the topic of the thesis and the results achieved.
• The examination of the thesis seminar consists of a graded (final) presentation, which should be held shortly before or shortly after the submission of the thesis. 
• The day on which you give the graded presentation is an examination date and is therefore relevant for your degree.
• Therefore, please make sure that the presentation takes place before the end of the semester in which you wish to graduate.
• The deadline for submitting your thesis is calculated from the signature date of your supervisor plus the working time.
• You can see the submission date of your thesis in BASIS.
• The deadline for submitting your thesis is strict. If you submit the thesis after this date, it will be failed.
• Please note that you are responsible for meeting the submission deadline. Your supervisors are not necessarily aware of your submission deadline, and in no case could they change the deadline for you, as this is set by the examination regulations.
• In the event of illness , the deadline can be extended by up to six weeks.

The thesis must be submitted on time in the required number of copies together with the form Submission of the Thesis at the Bachelor-Master Office Mathematics . On the submission form, you confirm that you have written the paper independently and have not used any sources or aids other than those specified and that you have indicated any quotations.

Requirements:

• DIN A4, printed on both sides, with cover page
• in a bound version (no spiral bindings please!)
• If programming code or similar is available, it must be attached to each copy of the work on a CD or a USB stick that is as flat as possible (do not send it by e-mail). The CD or stick must be glued to the last page of a copy.
• A single copy of the submission form must be submitted separately.

Options for submitting the thesis:

• personal delivery during office hours
• personal delivery after making an appointment outside office hours
• by post to the Bachelor-Master Office Mathematics The date of the postmark is decisive for the submission.

The thesis is evaluated by two assessors.

• The first assessor is the person who provided the topic of the thesis.
• The second assessor must be proposed by you when you submit your thesis. You are therefore responsible for finding a suitable second reviewer. On request, the supervisor can of course help you with this.
• Both reviewers must be noted on the title page of the thesis (see templates for the title page).

As a rule, the candidate is notified of the thesis' evaluation six to eight weeks after the submission date.

Bachelor's Thesis (B.Sc. Mathematik)

• The topic of the Bachelor's thesis is usually assigned towards the end of the fifth semester.
• You need to have earned at leat 90 credit points in order to register the Bachelor's thesis.

The working period of a Bachelor's thesis is five months.

• The Bachelor's thesis is estimated to require a workload of 360 hours.
• Therefore it earns 12 credit points.

The text part of the Bachelor's thesis must be between 5 and 50 pages long.

• Deviations from this require the approval of the Examination Board.
• In this case, please obtain the consent of both your advisors.
• Then send an application by e-mail to the Bachelor-Master Office Mathematics .

The language of the Bachelor's degree program is German. You can write your Bachelor's thesis in English if

• your supervisor agrees with it and
• the thesis contains a summary in German.

There is a coursework for the Bachelor's thesis seminar, the training in subject-specific literature research . It will be noted in BASIS when you register your Bachelor's thesis and it is a prerequisite for passing the Bachelor's thesis seminar.

The training courses are offered by the University and State Library in the form of a one-off two-hour course. The course imparts knowledge that is very useful for academic work, especially when writing a Bachelor's thesis, for example the use of the relevant academic online archives.

• The courses are held in the MNL departmental library in the training room on the 1st floor.
• Usually three dates are offered every semester, each on a Monday or Wednesday from 16.15 to 18.00 hrs.
• You can register for a date via an online form.

After you have taken part in a course, we will enter the coursework as passed in BASIS.

• You must complete this training shortly before or during the time you are working on your Bachelor's thesis.

The title page of your Bachelor's thesis must be agreed with your supervisor.

• In particular, make sure that you name the correct institute to which your supervisor belongs.
• Please use our LaTeX-template for the title page of your Bachelor's thesis.

The submission deadline for the Bachelor's thesis is 5 months after the date on which the supervisor signed the application.

• Three copies of the Bachelor's thesis must be submitted.

Master's Thesis (M.Sc. Mathematics)

• The topic of the Master's thesis is usually assigned towards the end of the second semester.
• You need to have earned at leat 30 credit points in order to register the Master's thesis.

The working period of a Master's thesis is twelve months.

• The Master's thesis is estimated to require a workload of 900 hours.
• Therefore it earns 30 credit points.

The text part of the Master's thesis must be between 10 and 100 pages long.

The language of the Master's degree program is English. You can write your Master's thesis in German if

• the thesis contains a summary in English.

The title page of your Master's thesis must be agreed with your supervisor.

• Please use our LaTeX-template for the title page of your Master's thesis.

The submission deadline for the Master's thesis is 12 months after the date on which the supervisor signed the application.

• Four copies of the Master's thesis must be submitted. One copy will be made available to the Mathematics Library.

If you would like to apply for a PhD position at BIGS Mathematics you should find out about the application process at the beginning of the third Master's semester.

Reimbursement of the Printing Costs for the Thesis

The printing costs for the required copies of your thesis can be reimbursed upon application. This also applies to theses in the teacher training programs that were written in mathematics.

• Please fill out the application form and hand it in at the Bachelor-Master Office Mathematics.
• The enclosed original receipt must show the number of copies printed.
• Please attach the receipts to the separately printed page 2 of the form using a glue stick.

Please submit the form promptly, as the original receipts are only valid for 6 months.

Examination Office Mathematics

2021 Math Thesis Template

Get in touch

Have you checked our knowledge base ?

Message sent! Our team will review it and reply by email.

Email: 

• All categories

Mathematical Institute

Below thesis archives will be moved shortly (work in progress) to the Leiden Repository. Once this is done, theses submitted by MI students (from 2008 onwards) can be accessed via the Repository and will be removed from this site.

NEW! Thesis Repository

By September 2022 all Mathematical Institute theses will be moved to the Leiden Repository and from then on the students will be instructed to upload their thesis to the Repository. Hence no new (nor old for that matter) theses will be found on this site; they will be available via these links:

• Wiskunde BSc theses
• Mathematics MSc theses
• Statistics and Data Science MSc theses
• Statistical Science for the Life and Behavioural Sciences MSc theses

For students graduating in August 2022 (and onwards) submission of theses can be done here (by the student!).

W. Nijgh, 30-8-2019 Differentiaalmeetkunde via schoven Supervisor: D. Holmes

A.V.J. Spieksma, 28-8-2019 Bounding the unit index in terms of the additive quotient Supervisor: H.W. Lenstra

W. Gevaert, 23-8-2019 Construction of electromagnetic fields using complex conformal transformations Supervisors: R.I. van der Veen & J.W. Dalhuisen

S. Wolters, 18-8-2019 De stelling van de Rahm via cohomologie van schoven Supervisor: R.S. de Jong

P. van der Vaart, 15-8-2019 Statistical methods for quantum state estimation Supervisors: S. van der Pas & T. O'Brien

M. Beentjes, 31-7-2019 Serra's oppervlak getrivialiseerd Supervisor: S.J. Edixhoven

K.A.E. Keijzer, 31-7-2019 Good models for quartic plane curves Supervisor: M. Streng

R. Berger, 30-6-2019 The conformal grid behind Escher's division Supervisor: B. de Smit

W. de Weijer, 21-6-2019 A decision procedure for weighted automata equivalence Supervisors: M. Streng & M. Bonsangue

J.M. Kamphuis, 17-6-2019 Fibonacci-dekpunten en contracties Supervisor: H.W. Lenstra

R.T.C. Turkenburg, 10-5-2019 Greibach normal form for weighted conext-free grammars Supervisors: P.J. Bruin (MI) & M. Bonsangue (LIACS)

M. van Delft, 9-4-2019 Spanning Trees on Lattices, Combinatorics and Probability Supervisor: E. Verbitskiy

V. Eerenberg, 28-2-2019 The Application of Group Representation Theory in the Study of Photonic Crystals Supervisors: B. de Smit & M. de Dood

L. Koekenbier, 29-8-2019 The Covariant Galileon Model of Dark Energy Supervisors: H.J. Hupkes & A. Silvestri

P.E. Bouwmeester, 27-8-2018 Elektro-, en magnetostatica op kwadrieken Supervisor: R.J. Kooman

D. Tholens, 19-8-2018 Travelling waves in stochastic reaction-diffusion equations Supervisor: H.J. Hupkes

G. Jin, 15-8-2018 Fredholm index of nonlocal differential operators via spectral flow and exponential dichotomy Supervisor: H.J. Hupkes

C. Barendrecht, 2-8-2018 Primitive roots in number fields Supervisor: P. Stevenhagen

N.H.J. van der Steen, 31-7-2018 The fiber functor and dessins d'enfants Supervisor: R.de Jong

O. Koop, 29-7-2018 Detecting extragalactic double white dwarfs with the laser interferometer space antenna Supervisors: E. Rossi & R. van der Veen

S. Draijer, 28-7-2018 Correlatie en causaliteit: failliet door de pinpas? Supervisor: S. van der Pas

E. Barinaga, 23-7-2018 Non-measurable sets Supervisor: K.P. Hart

S. Maibach, 22-7-2018 Actuating noncommutative deterministic spin systems Supervisors: R. de Jong & M. van Hecke

S. Moerman, 22-7-2018 Sizes of solutions Supervisor: R. Griffon

F.W. Swets, 20-7-2018 Alternatieve optimale strategieën in het rood-zwart casino model Supervisor: F. Spieksma

K.S. van Helden, 12-7-2018 Examples of quantum moduli algebras via Hopf algebra gauge theory on ribbon graphs Supervisors: R. van der Veen & J.W. Dalhuisen

T.J. Smeding, 11-7-2018 Fast large-integer matrix multiplication Supervisors: P.J. Bruin & K.F.D. Rietveld

M. Houmes, 6-7-2018 Field line solutions of the Maxwell equations using the 3+1 formalism for general relativity Supervisors: J.W. Dalhuizen & R. van der Veen

M.M. Slotegraaf, 6-7-2018 De kwaliteitsvectoren van ABC-drietallen Supervisor: B. de Smit

J.W.A. van Egeraat, 2-7-2018 Simulating the effect of nanopatterning on the critical temperature of superconductors Supervisors: M. Chirilus-Bruckner & M. Allan

P. Spelier, 30-6-2018 The complexity of root-finding in orders Supervisors: H.W. Lenstra & W. Kosters

T.D. Lardy, 29-6-2018 A renormalizable random graph model Supervisors: E. Verbitskiy & D. Garlaschelli

M.G. Wellens, 29-6-2018 Supersymmetry, or solving difficult potentials easily Supervisors: K.E. Schalm & M. de Jeu

A. Viergever, 22-6-2018 Two cases of Fermat's Last Theorem using descent on elliptic curves Supervisor: R. van Luijk

B. Zwetsloot, 22-6-2018 Cardinal arithmetic: the Silver and Galvin-Hajnal theorems Supervisor: K.P. Hart

T.J.D. Hermans, 20-6-2018 An elementary construction of the real numbers, the p-adic numbers and the rational adele ring Supervisor: B. de Smit

J.G.R. van der Valk Bouman, 20-6-2018 Homological algebra: completing diagrams of exact sequences Supervisor: B. de Smit

E. Bosch, 8-6-2018 Ramsey theory and applications Supervisor: J-H. Evertse

Y.L. Ligthart, 3-4-2018 Terror Queue: Help, we are being served! Supervisor: F. Spieksma

R. Baasdam, 15-08-2017 Numerics and continuation for Reaction-Diffusion equations Supervisors: dr. M. Chirilus-Bruckner & dr. M.T.M. Emmerich

C.J. in 't Veld, 01-08-2017 Analysis of glucose-insulin-glucagon interaction models Supervisor: dr. V. Rottschäfer

D. Gomon, 30-07-2017 Horseshoe Prior: robustness against non-normal deviations Supervisors: dr. S.L. van der Pas, dr. A.J. Schmidt-Hieber & prof.dr. K.H. Kuijken

N. van Splunder, 30-07-2017 Optimisatie van robuustheid in netwerken Supervisors: dr. F. Spieksma & dr. J.L. Dorsman

B. van Hal, 28-07-2017 Travelling waves in discrete spatial domains Supervisor: dr. H.J. Hupkes

C. van Zanten, 25-07-2017 Banen in een centraal krachtveld Supervisor: R.J. Kooman

A. Kiang, 25-07-2017 Dijkgraaf-Witten Theory Supervisor: dr. R.I. van der Veen

C.J. Konings, 21-07-2017 Fairest of them all: kwalitatieve en kwantitatieve vergelijking van kiessystemen Supervisor: dr. F. Spieksma

S. Ruiz, 21-07-2017 On distributed computations under communication constraints Supervisor: dr. B. Szabó

N. Rutgers, 12-07-2017 Gen-activiteit: Hoe lang duurt het? Supervisors: dr. F. Spieksma, dr. S. Hille & D. Gonzales

M. Hertogh, 07-07-2017 On homomorphisms of abelian groups of bounded exponent supervisor: M. Stanojkovski, MSc

D. van Velzen, 04-07-2017 Erdös-Rényi random graphs supervisor: prof.dr. W.Th.F. den Hollander

A. Krigsman, 01-07-2017 Equidistribution theorems for Legendre sums supervisor: dr. R. Griffon

B. Eggen, 30-06-2017 Tomography of Dynamical Systems Supervisors: Prof.dr. K.J. Batenburg, dr. H.J. Hupkes & prof.dr. K.H. Kuijken

M. Zoeteman, 30-06-2017 A Siegel-Walfisz theorem for Artin primes and applications supervisor: dr. E. Sofos

F.E.C. Ruijter, 25-06-2017 The weak homotopy type of Non-Hausdorff manifolds supervisor: dr. D.S.T. Holmes

D.T. Godding, 23-06-2017 The effective resistance supervisor: dr. R.S. de Jong

S. Achterhof, 23-06-2017 The structure of spuarefree groups and the Scheier condition supervisor: prof.dr. H.W. Lenstra

H.M. Wielstra, 25-01-2017 A Review and Analysis of Absolute Concentration Robustness in Biochemical Reaction Networks supervisor: Dr. S. Hille

B.A. Haver, 4-1-2017 Confidence intervals: what about their safety? Supervisor: P.D. Grünwald

V.T. Koperberg, 30-11-2016 Couplings and Matchings - On the equivalence of Strassen's theorem and some combinatorial theorems supervisors: Dr. L. Avena and Dr. S. Taati

S.E. Hurkmans, 21-8-2016 Effectieve weerstand en de Pseudoinverse supervisor: Dr. F.M. Spieksma

A.R. Harinandansingh, 17-8-2016 Meervoudig toetsen met de horseshoe prior supervisor: Dr. B. Szabo and Drs. S. van der Pas

C.J.H. Jonkhout, 27-7-2016 Traveling wave solutions of reaction-diffusion equations in population dynamics supervisor: B. de Rijk

J. Pries, 26-7-2016 Optimale strategie in een rood-zwart casino supervisor: Dr. F.M. Spieksma

M.H. Kolkhuis Tanke, 22-7-2016 Continued fractions with restricted digits and their Hausdorff dimension supervisor: Dr. C.C.C.J. Kalle

J. Verschuure, 22-7-2016 Analyse van een server farm met server-opstarttijden supervisor: Dr. F.M. Spieksma

R.M.A. Zandbergen, 21-7-2016 On the Number of Configurations of Triangular Mechanisms supervisor: Dr. F.M. Spieksma

S. Wubben, 21-7-2016 Predicting the Risk of Overload in Overcommitted Server Clusters supervisor: Dr. F.M. Spieksma

N. Vasmel, 20-7-2016 Rigidly Foldable 2D Tilings supervisor: Dr. F.M. Spieksma

G. Koers, 19-7-2016 Collision of wave packets in the sine-Gordon equation supervisor: Dr. M. Chirilus-Bruckner

J. Opschoor, 15-7-2016 KAM and Melnikov theory describing island chains in plasmas supervisor: Prof. Dr. A. Doelman

S. Lucic, 11-7-2016 Fibre Bundles in General Relativity supervisor: dr. R.I. van der Veen

W. Slegers, 9-7-2016 Metrics on Spaces of Measures supervisor: Dr. S.C. Hille

W. Hartel, 8-7-2016 Instrumental Variables supervisor: Prof. Dr. A. van der Vaart

J.S. Bouman, 7-7-2016 Gravity and Connections on Vector Bundles supervisor: dr. R.I. van der Veen

G. de Wit, 4-7-2016 Persistente homologie en het kosmische web supervisor: dr. R.I. van der Veen

S. Kalkan, 4-7-2016 De Stieltjes-integraal supervisor: Dr. O. van Gaans

S. van Lent, 30-6-2016 Norm-induced partially ordered vector spaces supervisor: Dr. O. van Gaans

I. Mennema, 28-6-2016 Roosters supervisor: Dr. R.M. van Luijk

D.M.H van Gent, 24-6-2016 Graph Isomorphism in Quasi-polynomial Time supervisor: Dr. O.D. Biesel

D. Becker, 24-6-2016 The Lefschetz fixed point theorem supervisor: dr. G.S. Zalamansky

O.B. Berrevoets, 24-6-2016 On Lehmer’s problem supervisor: Dr. J.H. Evertse

W.P.J. van Woerden, 24-6-2016 The closest vector problem in cyclotomic lattices supervisor: Dr. L. Ducas

D. Juttmann, 22-6-2016 Analysis of Simplicial Complexes supervisor: Prof. Dr. S.J. Edixhoven

D.A. Vente, 19-6-2016 A practical comparison of boosting algorithms supervisor: T.A.L. van Erven

H. Otten, 19-6-2016 A theoretical analysis of boosting algorithms supervisor: T.A.L. van Erven

T.C. Brouwer, 18-6-2016 Solving an arbitrary permutation puzzle supervisor: Dr. R.M. van Luijk

G.L. van der Sluijs, 7-6-2016 Change ringing supervisor: Dr. M.J. Bright

T.J. Sijpesteijn, 1-6-2016 Riemann-Roch voor grafen supervisor: Drs. T.C. Streng

K. S. Baak, 1-6-2016 Het vermoeden van Birch en Swinnerton-Dyer supervisor: Dr. P.J. Bruin

Y.M. Doolaard, 20-4-2016 Blood vessel network formation supervisor: Dr. R.M.H. Merks

L. Ackermans, 16-3-2016 Oplosbaarheid van kegelsneden supervisor: Drs. T.C. Streng

M. Ercan, 5-1-2016 Beweging van starre lichamen supervisor: Dr. R.J. Kooman

B.P. Zeegers, 20-8-2015 Spontaneous Synchronization in Complex Networks supervisor: Prof. Dr. W.Th.F. den Hollander

M. van den Berge, 17-8-2015 An algorithm for morphing audio supervisor: Dr. O.D. Biesel

R.B. Sleeuwenhoek, 5-8-2015 Majority Judgment A better social choice supervisor: Dr. F.M. Spieksma

J.M. Bos, 1-8-2015 Fredholm eigenschappen van systemen met interactie over een oneindig bereik supervisor: Dr. H.J. Hupkes

R.R.L.J. van Asseldonk, 30-7-2015 The Hopf Map in Magnetohydrodynamics supervisor: Prof. Dr. S.J. Edixhoven

M. Smeele, 16-7-2015 Buckling and snapping of elastic beams supervisor: Dr. V. Rottschäfer

C.W.P. Huibers, 10-7-2015 Effectieve Weerstand en Robuustheid supervisor: Dr. F.M. Spieksma

M. van den Bergh, 10-7-2015 Hanabi, a co-operative game of fireworks supervisor: Dr. F.M. Spieksma

J.S. van der Laan, 9-7-2015 Optimaal Fritzen supervisor: Dr. F.M. Spieksma

J.R.F. Deckers, 6-7-2015 Rieszcompleteringen van ruimten van operatoren supervisor: Dr. O. van Gaans

R.R. Geerling, 5-7-2015 Community detection in networks supervisor: Dr. A.J. Schmidt-Hieber

R.L. Marsdon, 2-7-2015 A Generalized Hough Transform for the Recognition of Cars in Images supervisor: Prof. Dr. E.A. Verbitskiy

J. W. F. van Beek, 1-7-2015 De stelling van Borsuk-Ulam supervisor: Dr. R.S. de Jong

P.W. Kanhai, 1-7-2015 Neural Networks supervisor: Dr. M.O. Heydenreich

J. Bulthuis, 30-6-2015 Pro-eindige Fibonacci-getallen supervisor: Prof. Dr. H.W. Lenstra

J.G.I. Noordsij, 26-6-2015 Primes of the form x2 + ny2 supervisor:

S. Alberts, 26-6-2015 Origami supervisor: M. Derickx

Y.A. Peeters, 24-6-2015 De Stelling van Lamperti supervisor: Dr. M.F.E. de Jeu

R.M. Schwarz, 24-6-2015 Idempotenten in groepenringen supervisor: Prof. Dr. H.W. Lenstra

A.F. Schilperoort, 9-6-2015 Polya tree priors supervisor: Prof. Dr. A. van der Vaart

N.J. van der Kooy, 5-6-2015 Project planning with temporal and resource constraints supervisor: Dr. F.M. Spieksma

M. A. Muller, 18-5-2015 Divergente Reeksen supervisor: Dr. O. van Gaans

J. M. Keijser, 14-4-2015 Glucose regulation in the intensive care: an algorithmic approach supervisor: Prof. Dr. E.A. Verbitskiy

J.E.F. Rood, 23-3-2015 Standard construction for certain finite fields supervisor: Dr. B. de Smit

L.A.H. Veenendaal, 30-1-2015 Complexificatie van geordende vectorruimten supervisor: Dr. O. van Gaans

M. P. Noordman, 22-1-2015 G-bundles, Cech Cohomology and the Fundamental Group supervisor: Dr. R.S. de Jong

J.P.J. Rinkel, 5-1-2015 The Formation of Wood Grains supervisor: Dr. R.M.H. Merks

M. Kortsmit, 18-12-2014 Strategies for Klondike Solitaire supervisor: Dr. F.M. Spieksma

B. van der Roest, 18-12-2014 Modelling of concentration inhibited and autocrine driven branching supervisor: Dr. R.M.H. Merks

J. Hekking, 1-12-2014 Belyi Pairs, Dessins d’Enfants & Hypermaps supervisor: Dr. R.S. de Jong

A.A. Hendriksen, 18-11-2014 Percolatietheorie op bomen supervisor: Prof. Dr. W.Th.F. den Hollander

M.A. Oort, 6-11-2014 Irreguliere Singuliere Punten van Differentiaalvergelijkingen supervisor: Dr. R.J. Kooman

R.R. Mahabir, 31-10-2014 Getallen maken met Lüroth systemen supervisor: Dr. C.C.C.J. Kalle

D.W.M. van Dijk, 23-10-2014 On the sets of critical points and critical values supervisor: Dr. O. van Gaans

R.R. van der Heijden, 29-8-2014 An Analysis of Dominion supervisor: Dr. F.M. Spieksma

T. van Hees, 29-8-2014 Early Stopping in Randomized Clinical Trials supervisor: Prof. dr. R.D. Gill

A.D.A. van Binsbergen, 28-8-2014 `lights out'-problemen supervisor: Dr. F.M. Spieksma

W. Obbens, 26-8-2014 Inference in Markov Networks supervisor: Assistant professor A.J. Smidt-Hieber

M. Heemskerk, 25-8-2014 Basisuitbreidingen en de Combinatorische Nullstellensatz supervisor: Prof. Dr. H.W. Lenstra

B.M. Nieuwenhuizen, 20-8-2014 Auto-vectorization using polyhedral compilation for an embedded ARM platform supervisor: Dr. H.J. Hupkes

B.D. Hoogeboom, 15-8-2014 Robustness of graphs supervisor: Dr. F.M. Spieksma

C.F. van Oosten, 14-8-2014 The EM-algorithm for Poisson data supervisor: Assistant professor A.J. Smidt-Hieber

A.M. van Eden, 14-8-2014 Breaking NormalHedge supervisor: Prof. Dr. P. Grünwald

R.P. Thommassen, 10-8-2014 Whitehead Groepen supervisor: Dr. K.P. Hart

G. Egberts, 8-8-2014 Statistical Verification of Electronic Voting supervisor: Prof. dr. R.D. Gill

K. Lachhab, 4-8-2014 A stochastic model for the mitochondrial Eve supervisor: Dr. M.O. Heydenreich

E.B.M. Denissen, 24-7-2014 Eerlijkheid van verdelingen supervisor: Dr. F.M. Spieksma

O.J.G. van der Velde, 23-7-2014 Optimaal stroomverbruik in een server farm supervisor: H. Blok MSc.

S. Vroegop, 23-7-2014 Successive Lumping and Lattice Path Counting supervisor: Dr. F.M. Spieksma

T.A. de Jong, 15-7-2014 Analysis of Nuclear Magnetic Resonance Force Microscopy supervisor: Dr. V. Rottschäfer

C. Beentjes, 11-7-2014 Symmetry-Breaking in Patterned Elastic Sheets supervisor: Dr. V. Rottschäfer

J. de Mol, 11-7-2014 Breaking of ensemble equivalence in networks supervisor: Prof. Dr. W.Th.F. den Hollander

T. Bakker, 10-7-2014 Plagiarism Detection in Source Code supervisor: Prof. Dr. E.A. Verbitskiy

M. Carlier, 7-7-2014 Band formation in Chara corallina supervisor: Dr. S.C. Hille

F.S. Kool, 3-7-2014 Een Statistische Analyse van Recidive Cijfers supervisor: Prof. Dr. A. van der Vaart

H. Fritzsche, 1-7-2014 Overaftelbaar oneindig veel getalsontwikkelingen supervisor: Dr. C.C.C.J. Kalle

T.D. van Mulligen, 1-7-2014 De fundamentaalgroep van het complement van een vlakke kromme supervisor: Prof. Dr. S.J. Edixhoven

J. Zijlstra, 30-6-2014 An exploration of exoplanetary transit detection algorithms supervisor: Prof. dr. R.D. Gill

L. M. Simons, 27-6-2014 Competitiviteit van een sporttoernooi supervisor: Dr. F.M. Spieksma

M.M. Schipper, 26-6-2014 The Campbell-Hausdorff theorem supervisor: Dr. L.D.J. Taelman

A.E. Sloof, 26-6-2014 Operators between C(K)-spaces supervisor: Dr. M.F.E. de Jeu

M.B.J. Zwaan, 22-6-2014 On commutative rings with only finitely many ideals supervisor: M.F. Kosters MSc.

M. Stekelenburg, 13-6-2014 Ultrafilters and Topology supervisor: Dr. O.D. Biesel

M. Straatman, 11-6-2014 The duality map supervisor: Dr. O. van Gaans

I. Kok, 5-6-2014 Rings in which every ideal has two generators supervisor: Drs. T.C. Streng

A.G.M. Hommelberg, 5-6-2014 Compact non-Hausdorff Manifolds supervisor: Dr. D.S.T. Holmes

R.J. Apon, 2-6-2014 Groups that split short exact sequences supervisor: Prof. Dr. H.W. Lenstra

E.C.H. van der Meer, 29-1-2014 The Banach-Stone Theorem supervisor: Dr. M.F.E. de Jeu

F.H.J. de Paus, 22-1-2014 Limiting shapes in the sandpile growth model supervisor: Prof. Dr. E.A. Verbitskiy

J. van der Hoorn, 15-11-2013 Interferentie door Elektronen supervisor: Dr. O. van Gaans

J.J. Lugthart, 7-11-2013 Buckling of a Beam supervisor: Dr. V. Rottschäfer

A. Peters, 5-11-2013 Tijdreeksen van koffie-futures supervisor: Prof. Dr. A. van der Vaart

M. Daems, 26-8-2013 De Stieltjes-integraal in een Banachruimte supervisor: Dr. O. van Gaans

T. Neve, 25-8-2013 Theorems on ultrafilters supervisor: Dr. K.P. Hart

C. Kwok, 25-8-2013 Waves in discrete spatial domains supervisor: Dr. H.J. Hupkes

A.Y. Kiliç, 23-8-2013 Hyperoplosbare groepen supervisor: Prof. Dr. H.W. Lenstra

C.S. Verbeek, 22-8-2013 Polar Auxin Transport in Arabidopsis Inflorescence Stems supervisor: Dr. S.C. Hille

N. Schoots, 20-8-2013 A Categorical Approach to Varieties over k supervisor: Dr. R.S. de Jong

M. Jespers, 15-8-2013 Souslin’s Hypothesis supervisor: Dr. K.P. Hart

M.W. van de Nes, 1-8-2013 Coverability and Extended Petri Nets supervisor: Dr. F.M. Spieksma

I..Verstraten, 26-7-2013 Reserveringssystemen supervisor: Dr. F.M. Spieksma

T. Weerwag, 25-7-2013 Integreerbare functies met waarden in ruimtes van continue functies supervisor: Dr. O. van Gaans

R. Bastiaansen, 25-7-2013 Bending and Buckling in Elastic Patterned Sheets supervisor: Dr. V. Rottschäfer

C.H.S. Hamster, 19-7-2013 Deformations of bubbles supervisor: Prof. Dr. A. Doelman

K.T.H. Yang, 19-7-2013 Patronen met defect. supervisor: Prof. Dr. A. Doelman

D.S. Laman Trip, 10-7-2013 Simulation of tissue folding with the Cellular Potts Model supervisor: Dr. R.M.H. Merks

T.A. de Graaf, 2-7-2013 Two dependent random walks supervisor: Prof. Dr. W.Th.F. den Hollander

N.J.Towner, 1-7-2013 Coarse geometry and finitely generated groups supervisor: Dr. L.D.J. Taelman

F.W.N. Boesten, 20-6-2013 Simple hypothesis testing supervisor: Prof. Dr. P. Grünwald

A. Pijpers, 13-6-2013 Discrete Tomografie op de Torus supervisor: Prof. dr. K.J. Batenburg

A.E. de Jonge, 12-6-2013 Bounds on the parameters of arithmetic codices supervisor: Dr. I. Cascudo

M. Vullers, 6-6-2013 Universal Degrees of Field Extensions supervisor: Prof. Dr. H.W. Lenstra

O. Jaïbi, 18-3-2013 Gaussian Curvature and The Gauss-Bonnet Theorem supervisor: Dr. R.S. de Jong

F.C. Claassens, 17-1-2013 Combination of Orlicz norms supervisor: Dr. O. van Gaans

L.L. Diemer, 31-8-2012 Pathway Analysis of Metabolic Networks supervisor: Dr. S.C. Hille

N. uit de Bos, 29-8-2012 The hyperbolic plane and a regular 24-faced polyhedron supervisor: Prof. Dr. S.J. Edixhoven

J.E. Witteveen, 28-8-2012 Mining hyperintervals Getting to grips with real-valued data supervisor: Prof. Dr. P. Grünwald

T. M. Groen, 27-8-2012 Suzuki groups and the other Zassenhaus groups supervisor: Dr. B. de Smit

M. Assendorp, 21-8-2012 Het gereduceerde 3-lichamenprobleem Stationaire oplossingen en hun stabiliteit supervisor: Dr. R.J. Kooman

T. Tilly, 14-8-2012 Units in Monogenic Orders supervisor: Prof. Dr. H.W. Lenstra

M.J. Warrens, 9-8-2012 On Irrational and Transcendental Numbers supervisor: Dr. J.H. Evertse

J. van Dobben de Bruyn, 8-8-2012 Reduced divisors and gonality in finite graphs supervisor: Dr. D.C. Gijswijt

R.M. Jongen, 1-8-2012 Finite dimensional Riesz spaces and their automorphisms supervisor: Dr. M.F.E. de Jeu

S. van der Lugt, 27-7-2012 Projectieve vlakken supervisor: Dr. R.S. de Jong

R. van Bommel, 20-7-2012 Using the Chebotarev density theorem to calculate the size of Galois groups supervisor: Dr. L.D.J. Taelman

H. van Imhoff, 8-7-2012 Order-convergence in partially ordered vector spaces supervisor: Dr. O. van Gaans

J.B. Blackshaw, 4-7-2012 Een bewijs van Boolos voor de onvolledigheid van de Peano rekenkunde supervisor: Dr. K.P. Hart

M.F.J. Carsouw, 1-7-2012 Wright-Fisher evolution supervisor: Prof. Dr. W.Th.F. den Hollander

J. Jonges, 30-6-2012 Geometric properties of Poisson matchings supervisor: Dr. M.O. Heydenreich

H. D. Visse, 21-6-2012 Catalysis of CO oxidation using the kinetic Monte Carlo method supervisor: Prof. Dr. E.A. Verbitskiy

E.T.G. Schlebusch, 20-6-2012 Het Hasse-principe supervisor: Dr. R.M. van Luijk

E. Massop, 12-6-2012 Hilbert’s tenth problem supervisor: Dr. R.M. van Luijk

D.S. Brown, 23-4-2012 A Model of Glucose Evolution in Type 1 Diabetes Patients supervisor: Prof. Dr. E.A. Verbitskiy

V.S.S. Vos, 2-4-2012 Deformations of a bubble supervisor: Dr. V. Rottschäfer

N. Jansen, 23-12-2011 Interference and Elliptic Integrals supervisor: Prof. Dr. Ir. B. Koren

A. Tonkelaar, 21-12-2011 Reëel afgesloten lichamen supervisor: Dr. L.D.J. Taelman

W.P.S. Cames van Batenburg, 23-11-2011 Benaderingen van het Hard Squares Model supervisor: Dr. D.C. Gijswijt

T.P.F. Blankevoort, 26-9-2011 A differential equation approach to the solution of non-linear equations of a static physical system supervisor: Prof. Dr. Ir. B. Koren

T. van Dijk, 9-9-2011 Op jacht naar radicalen supervisor: Dr. B. de Smit

Abtien Javan Peykar, 6-9-2011 The Brauer group of a field supervisor: Prof. Dr. H.W. Lenstra R.P. Hulst, 30-08-2011 A proof of Bézout's theorem using the euclidean algorithm Supervisor: Prof.Dr. S.J. Edixhoven

B. Kamphorst, 29-8-2011 Non-linear waves in an atmospheric model supervisor: Dr. V. Rottschäfer

M. Bargpeter, 25-8-2011 Self-Interacting Random Walk supervisor: Dr. M.O. Heydenreich

R. Winter, 23-8-2011 Elliptic curves over Q p supervisor: Drs. R. Pannekoek

L. Brinkman, 10-8-2011 Hamiltongrafen supervisor: Dr. F.M. Spieksma

S.A. Postma, 10-8-2011 ‘Pattern formation’ onder veranderende omstandigheden supervisor: Prof. Dr. A. Doelman

D.W. Gonzalez Arroyo, 14-7-2011 Een massaformule voor abelse groepen supervisor: Dr. B. de Smit

J.M. Commelin, 11-7-2011 Tannaka Duality for Finite Groups supervisor: Dr. L.D.J. Taelman

R.B. Kappetein, 5-7-2011 Callcenters supervisor: Dr. F.M. Spieksma

M.A. Lopuhaä, 24-6-2011 Field Topologies on Algebraic Extensions of Finite Fields supervisor: Dr. K.P. Hart

R. van Dobben de Bruyn, 21-6-2011 The Modularity Theorem supervisor: Dr. R.M. van Luijk

J. Hemerik, 21-6-2011 Abstract Cauchy problems and stochastic integral equations supervisor: Dr. O. van Gaans

T.M.J. van Zalen, 15-6-2011 Modular Response Analysis: A method for reconstructing chemical networks supervisor: Dr. S.C. Hille

J. van Waaij, 14-6-2011 Suprema in ruimten van operatoren supervisor: Dr. O. van Gaans

H.R. Rohrbach, 9-6-2011 De Sluitstelling van Poncelet supervisor: Dr. R.S. de Jong

F.W. Ruoff, 8-6-2011 Smooth functions, orthogonal polynomials and rapidly decreasing sequences supervisor: Dr. M.F.E. de Jeu

D. Verburg, 20-5-2011 Why are plants green? supervisor: Dr. S.C. Hille

L.W. van Rijn, 10-3-2011 Fractals and their dimensions supervisor: Dr. S.C. Hille

R.M.J. Vooys, 1-3-2011 Numerical radiative transfer modelled by a Markov process supervisor: Dr. D.C. Gijswijt

D.D. Sierag, 17-1-2011 Profit maximization for inbound call centres supervisor: Dr. F.M. Spieksma

S.C.F. van Opheusden, 10-9-2010 Markov models for Nucleosome dynamics during Transcription: Breathing and Sliding supervisor: Prof. Dr. F. Redig

L. San Giorgi, 8-9-2010 Het Casinomodel supervisor: Prof. Dr. L.C.M. Kallenberg

W. Zomervrucht, 25-8-2010 De complexiteit van Buchbergers algoritme supervisor: Dr. R.M. van Luijk

G.B. Overal, 25-8-2010 Membrane Transport supervisor: Dr. S.C. Hille

M. N. Drozdovskaya, 19-8-2010 Voronoi Diagrams and Their Application in the DTFE Reconstructions of the Cosmic Web supervisor: Dr. D.C. Gijswijt

B. de Rijk, 18-8-2010 Het lokaal-globaalprincipe supervisor: Dr. P.J. Bruin

W.W. Subramanian, 7-7-2010 Beeldruimten van contractieve projecties supervisor: Dr. O. van Gaans

R. Hoogwater, 25-6-2010 Potentieel goede reductie van elliptische krommen met een gegeven periodenrooster supervisor: Dr. R.S. de Jong

H. Moussa , 17-6-2010 Lineaire recurrente rijen supervisor: Dr. J.H. Evertse

S.L. van der Pas, 16-6-2010 Much ado about the p-value supervisor: Prof. Dr. P. Grünwald

H.E. Reijngoud, 11-6-2010 Kwaliteit van ABC-drietallen supervisor: Dr. B. de Smit

M. Derickx, 11-6-2010 Infinitesimally Rigid Construction of the Algebraic Numbers supervisor: Dr. B. de Smit

C.J. Meerman, 10-6-2010 Lijstkleuring van grafen supervisor: Dr. D.C. Gijswijt

T. de Koning, 9-6-2010 De Banach-Tarski-Paradox supervisor: Drs. T.C. Streng

A. Moritz, 9-6-2010 Heights on Projective Spaces supervisor: Dr. C. Salgado Guimaraes de Silva

L. Brandwacht, 9-6-2010 Stabiele Koppelingen supervisor: Dr. D.C. Gijswijt

R.A.C.H. Wols, 8-6-2010 Eindige topologische ruimten supervisor: Dr. R.S. de Jong

D.M. van Diemen, 7-6-2010 Homotopie en Hopf supervisor: Dr. B. de Smit

L. Sewalt, 1-6-2010 Blow-up in reaction-diffusion systems supervisor: Dr. V. Rottschäfer

C.P. van Splunter, 21-4-2010 Grote afwijkingen supervisor: Prof. Dr. E.A. Verbitskiy

H. Younesian, 28-9-2009 Exponentiele groei met stochastische verstoringen supervisor: Dr. O. van Gaans

V. Hisken, 28-9-2009 Paradoxen in de kansrekening aan de hand van Dutch Books supervisor: Prof. Dr. P. Grünwald

S. Pouwelse, 10-9-2009 Epimorfismen supervisor: Prof. Dr. H.W. Lenstra

A. Sudan, 31-8-2009 Finding closed-form expressions for infinite series supervisor: Dr. O. van Gaans

J.H.R. Ietswaart, 31-8-2009 Bidirectional vesicle motility: from molecular motors to Markov processes supervisor: Prof. Dr. F. Redig

E.P.J.A. Siero, 28-8-2009 Clifford-algebra's en spinrepresentaties supervisor: Dr. R.J. Kooman

T.A. Horsmeier, 25-8-2009 Hoeken en kromming supervisor: Dr. O. van Gaans

P. Rogaar, 24-8-2009 Universal Composability en Indifferentiability supervisor: Dr. D. Hofheinz

R.J. Slager, 24-8-2009 From elasticity to equations supervisor: Dr. V. Rottschäfer

T.E. Feenstra, 25-6-2009 Glimpses of a solution to the measurement problem in quantum theory supervisor: Prof. dr. R.D. Gill

J. Rozendaal, 17-6-2009 A space of spaces supervisor: Dr. M.F.E. de Jeu

T.C. van Barneveld, 14-6-2009 Besliskunde in Tennis supervisor: Prof. Dr. L.C.M. Kallenberg

S.L. van Lieshout, 11-6-2009 De Zariski topologie versus de Sterke topologie supervisor: Dr. R.S. de Jong

R.H. Eggermont, 10-6-2009 Modellen voor eindige lichamen supervisor: Prof. Dr. H.W. Lenstra

A.M. Schouten, 9-6-2009 Competities, schuifpuzzels en automorfismen van S6 supervisor: Dr. L.D.J. Taelman

R.W. Runhardt, 5-6-2009 De Interestrekeninghe van Ludolf van Ceulen supervisor: Prof. Dr. J.P. Hogendijk

F.W. van Rest, 5-6-2009 A mathematical approach to scalable personalized PageRank supervisor: Dr. F.M. Spieksma

M.A. Irwin, 5-6-2009 Optimal strategies for an evacuation problem supervisor: Dr. F.M. Spieksma

S. van der Sluis, 4-6-2009 Groepsacties op bomen supervisor: Dr. B. de Smit

Z. Tanovic, 1-3-2009 Representations of Lie algebras and the su(5) Grand Unified Theory supervisor: Dr. F.R.A. Doray

P.A.M. Schijven, 15-1-2009 The classi cation of bound quark states supervisor: Dr. R.J. Kooman

A.E. Korsuize, 17-12-2008 Coupled systems of differential equations and chaos supervisor: Dr. V. Rottschäfer

G.F. van Helden, 16-12-2008 Het Black-Scholes optieprijsmodel supervisor: Dr. E.W. van Zwet

J.J. van Wamelen, 1-12-2008 Microarray Analyse supervisor: Dr. E.W. van Zwet

P. van der Linden, 24-9-2008 Tree plantation supervisor: Dr. F.M. Spieksma

H. Nooitgedagt, 10-9-2008 Conditional independence supervisor: Prof. dr. R.D. Gill

W. Ellens, 21-8-2008 Classificatie van Markovbeslissingsketen supervisor: Prof. Dr. L.C.M. Kallenberg

G.G.A. Westhoff, 18-8-2008 Afstanden tussen kansmaten supervisor: Dr. O. van Gaans

H. de Vries, 1-8-2008 Partitiestellingen supervisor: Dr. K.P. Hart

Ariyan Javan Peykar, 11-7-2008 Representatie, homotopie en ijktheorie van SU 2 (R) supervisor: Dr. F.R.A. Doray

S.D. Ramawadh, 1-7-2008 Number-theoretic applications of ergodic theory supervisor: Dr. M.F.E. de Jeu

F.P.R. Olsthoorn, 1-7-2008 Een inleiding in de beschrijvende verzamelingenleer supervisor: Dr. K.P. Hart

J.B. Weimar, 1-7-2008 Categories of sets with a group action supervisor: Prof. Dr. S.J. Edixhoven

F.H.S. Offergelt, 24-6-2008 Zelfmijdende Wandelingen supervisor: Prof. Dr. W.Th.F. den Hollander

M. Kosters, 15-6-2008 Schubert Calculus supervisor: Dr. R.S. de Jong

T. Leenman, 3-6-2008 Simple Random Walk supervisor: Prof. Dr. W.Th.F. den Hollander

J.R. Michielsen, 1-6-2008 Semisimplicity and finite groups supervisor: Prof. Dr. H.W. Lenstra

O.U. Lenz, 1-6-2008 Some results on the existence of division algebras over R supervisor: Dr. L.D.J. Taelman

E. Jongsma, 6-3-2008 Algebraic manipulation detection codes supervisor: Prof. Dr. R.J.F. Cramer

A.G. Hauwert, 1-1-2008 Lucia de B supervisor: Prof. dr. R.D. Gill

S. Roobol, 1-1-2008 Numerieke bepaling van Gaussische kromming op een getrianguleerd oppervlak supervisor: Prof. Dr. R. van der Hout

A. Stolwijk, 26-8-2007 St Petersburg Paradox supervisor: Dr. E.W. van Zwet

L. Smit, 10-8-2007 Classificatie van Markovbeslissingsketen supervisor: Prof. Dr. L.C.M. Kallenberg

M. Fung, 3-8-2007 Casinomodellen supervisor: Prof. Dr. L.C.M. Kallenberg

Y.C. Kleinherenbrink, 1-8-2007 The Gray-Scott equations on a bounded domain supervisor: Dr. V. Rottschäfer

L. de Boer, 1-7-2007 Mathematical models for fish schools supervisor: Dr. S.C. Hille

A.K.A. Kalsbeek, 1-7-2007 Bindingperculatie supervisor: Prof. Dr. W.Th.F. den Hollander

R. de Jong, 12-6-2007 De verdeling van de eigenwaarden voor willekeurige unitaire matrices supervisor: Prof. Dr. S.J. Edixhoven

T. Vorselen, 1-6-2007 Semi-Riemannse meetkunde en de Schwarzschild meetkunde supervisor: Dr. M. Lübke

H.P. Chang, 1-6-2007 Semi-Riemannse meetkunde en Robertson-Walker kosmologie supervisor: Dr. M. Lübke

M. Pronk, 1-4-2007 Bio-neurale netwerken supervisor: Dr. S.C. Hille

M. Roelands, 1-2-2007 Oneven perfekte getallen supervisor: Prof. Dr. H.W. Lenstra

B. Benthem, 1-12-2006 Representatietheorie van Compacte Liegroepen supervisor: Prof. Dr. S.J. Edixhoven

J. Lukkezen, L. Rademaker, 21-9-2006 Shock waves through inhomogeneous media supervisor: Dr. V. Rottschäfer

A. Keune, 21-12-2005 Het Spectrum van Kwantumoperatoren supervisor: Prof. Dr. S.M. Verduyn Lunel

M. van Ommen, 15-12-2005 A statistical method for the evaluation of compiler switches supervisor: Prof. Dr. S.A. van de Geer

T.P. van Wingerden, 15-11-2005 Hoe te gokken als het moet supervisor: Prof. Dr. L.C.M. Kallenberg

A. Aleman, 1-9-2005 Vergelijking van wiskundige modellen voor zelforganisatie van de mier Lasius niger supervisor: Dr. S.C. Hille

J.W. de Koning, 1-8-2005 Stochastic model of atoms in a magneto-optical trap supervisor: Dr. F.M. Spieksma

P.C. Hutter, 1-6-2005 Stochastische spelen supervisor: Prof. Dr. L.C.M. Kallenberg

M.A.C. Walenkamp, 1-6-2005 Portfolio optimalisatie: hoe in theorie geld te verdienen supervisor: Prof. Dr. L.C.M. Kallenberg

R.P.M.J. Jurrius, 1-5-2005 Algebraische topologie en de fixpuntstelling van Lefschetz supervisor: Dr. R.S. de Jong

B.E. van Dalen, 1-5-2005 Lenstra's wonderlijke kaartspel. Een generalisatie van de Chinese reststelling voor niet-commutatieve ringen. supervisor: Prof. Dr. H.W. Lenstra

Y.D. Khomskii, 1-4-2005 Banach algebras supervisor: Dr. M.F.E. de Jeu

P. Spelier, 6-7-2020 A geometric approach to linear Chabauty Supervisor: S. Edixhoven

T. Koperberg, 27-2-2020 Loop-erased partitioning of sparse graphs Supervisor: L. Avena

R.R. Mahabir, 19-12-2020 Entropy for skew tent maps Supervisor: C.C.C.J. Kalle

K.S. Baak, 4-11-2019 On hypercover-Cech cohomology and dualizing complexes of finite spaces Supervisor: S. Edixhoven

M. Kolkhuis Tanke, 25-9-2019 Paradoxical results from conditional probability: the importance of the sigma-algebra Supervisor: P. Grünwald

B.A. Kiang, 6-9-2019 Network coarse-graining through intertwining dualities Supervisors: L. Avena & W.T.F. den Hollander

M. Ercan, 28-8-2019 Een minimalistisch model voor interacties tussen prooidieren Supervisor: A. Doelman

M. Imran, 5-8-2019 Gröbner bases for decoding linear codes Supervisor: S.J. Edixhoven

P. Indarjo, 11-7-2019 Deep State-Space models in multi-agent systems Supervisors: P.D. Grünwald (UL) & M. Kaisers (CWI)

K. Lachhab, 9-7-2019 Population dynamics with seed-bank Supervisors: W.Th.F den Hollander & L. Avena

J.W. van der Meer, 5-7-2019 A Stack-theoretic perspective on KU-local stable homotopy theory Supervisors: L. Meier & B. Edixhveon

M. Zoeteman, 1-7-2019 Exponential-polynomial equations Supervisor: J.H. Evertse

B. Eggen, 28-6-2019 Sobolev GANs and rates of convergence for a simple manifold learning problem Supervisor: A.J. Schmidt-Hieber & S.L. van der Pas

A. Kyprou, 28-6-2019 Study of periodic solutions of the Klausmeier model Supervisor: A. Doelman

C.J.H. Jonkhout, 26-6-2019 Numerical continuation of limit cycles in large systems in MATLAB Supervisors: A. Doelman (UL), Y. Kuznetsov (UU) & M. Pekkér (U. Alabama)

F. Bos, 19-6-2019 Shelah's pcf-theory and the bound on \(aleph_\omega^{\aleph_0}\) Supervisor: B. Edixhoven & K.P. Hart

D.M.H. van Gent, 19-6-2019 Algorithms for finding the gradings of reduced rings Supervisor: H.W. Lenstra

G.L. van der Sluijs, 17-6-2019 Applications of toric geometry to convex polytopes and matroids Supervisor: R. de Jong

N. Vasmel, 9-6-2019 Electrical grid failures, an analysis of rare events Supervisor: F. Spieksma & B. Zwart (CWI)

M. Nogueira da Silva Junior, 28-5-2019 Dynamical systems and lineage decision making: a systematic approach for the evaluation of a phenomenological mathematical model Supervisors: S. Hille & S. Semrau

B.P. Zeegers, 28-9-2018 On invariant densities and Loch's Theorem for random piecewise monotonic interval maps Supervisors: H. Bruin (University of Vienna), C.C.C.J. Kalle & E.A. Verbitskiy

J. Jacobs, 28-9-2018 Geometric Differential Forms Supervisor: R. van der Veen

J. Verschuure, 11-9-2018 Analysis of the Whittle index in a single server model with service control and customer impatience Supervisor: F.M. Spieksma

W.J.B. van Eeghen, 6-9-2018 Analysis of near-optimal portfolio regions and polytope theory Supervisors: O. van Gaans (UL) & M. van der Schans (ORTEC)

W.P.J. van Woerden, 30-8-2018 Perfect Quadratic forms: an upper bound and challenges in enumeration Supervisor: L. Ducas (CWI)

I. Kok, 30-8-2018 The Brauer-Manin obstruction to strong approximation Supervisor: M. Bright

F.G. Bossema, 30-8-2018 Optimisation of projection angle selection in Computed Tomography Supervisors: F. Spieksma, J. Batenburg, F. Lucka & A. Kostenko

J. Bulthuis, 29-8-2018 Rational points on del Pezzo surfaces of degree one Supervisor: R.M. van Luijk

R.M. Schwarz, 24-8-2018 Gromov-Witten invariants of the classifying stack of principle G m -bundles Supervisor: D. Holmes

D. Becker, 23-8-2018 Heights in Arakelov Geometry Supervisor: R.S. de Jong

E.C.H. van der Meer, 17-8-2018 Isometric lattice isomorphisms associated with convolution actions of measures on L P -spaces Supervisor: M.F.E. de Jeu

Y.M. Doolaard, 15-8-2018 Bounds for discount optimal strategies in a single server queue with controled arrivals and departures Supervisor: F. Spieksma

J. Pries, 9-8-2018 Using neural networks for service strategies in an abandonment queue Supervisor: F.M. Spieksma

J. van Dobben de Bruyn, 8-8-2018 Connections between the general theories of ordered vector spaces and C*-algebras Supervisors: O. van Gaans & M. de Jeu

M. Moreschi, 18-7-2018 S-parts of values of univariate polynomials and decomposable forms Supervisor: J.H. Evertse

A. Danelon, 18-7-2018 A p-adic analogue of the class number formula Supervisor: M. Bertolini

F. Campagna, 18-7-2018 Cyclic reduction of elliptic curves Supervisor: P. Stevenhagen

G. de Wit, 18-7-2018 Elliptic curves over function fields with large Tate-Shafarevich groups Supervisor: R. Griffon

S. Tronto, 18-7-2018 The Brauer-Manin obstruction to strong approximation Supervisor: M. Bright

G. Dogan, 18-7-2018 Rank bounds on some hyperelliptic Jacobians Supervisor: R. Griffon

S. Monavari, 18-7-2018 Local picture of twisted curves Supervisor: D. Holmes

G. Nuñez Ponasso, 18-7-2018 The RRDPS encoding and entropic uncertainty relations for single measurements Supervisors: M. Streng & S. Fehr

M. Pintonello, 18-7-2018 Characterizing number fields with quadratic L-functions Supervisor: B. de Smit

J.W. van Beek, 18-7-2018 The Cup Product Supervisor: R. de Jong

M. Muller, 11-7-2018 Applications of stochastic cooperative game theory to renewable energy prediction problems Supervisor: F. Spieksma

G. Koers, 6-7-2018 Invariant distributions for a generalization of Wright's delay equation Supervisor: O. van Gaans

S. Kalkan, 5-7-2018 Functional representation of ordered vector spaces without order unit Supervisor: O. van Gaans

G. Egberts, 3-7-2018 Universal denoising for discrete and continuous signals Supervisor: E. Verbitskiy

L. Verkerk, 29-06-2018 Forecasting Infectious Disease Epidemics Supervisors: A.J. Schmidt-Hieber, J. Wallinga (LUMC)

M. Heemskerk, 15-6-2018 Derived Categories of Projective Gorenstein Varieties Supervisor: D. Holmes

H.J. Otten, 8-6-2018 Global optimization for Lipschitz continuous expensive black box functions Supervisors: S. Hille, M. Emmerich

J.S. van der Laan, 27-11-2017 Optimal routing algorithms Supervisor: F.M. Spieksma

S. Alberts, 24-11-2017 Quadratic points on modular curves Supervisor: P.J. Bruin

L.B. Zwep, 01-11-2017 Predicting crown rot resistance in wheat using a complex backcross population Supervisors: M. Malosetti, F.A. van Eeuwijk

P. Kanhai, 1-11-2017 An analysis of the single server queue with Erlang and Coxian service distributions Supervisor: F. Spieksma

E.B.M. Denissen, 26-10-2017 Do variable session lengths per surgical department contribute to a  better OR utilization? Supervisors: F.M. Spieksma, I. Matthijssen (VUmc), L.E. Aalders (VUmc), G. Balke-Budai (VUmc)

C.W.P. Huibers, 24-10-2017 Alternative relocation routes in ambulance care Supervisors: S. Bhulai (VU Amsterdam), M. van Buuren (CWI), R.D. van der Mei (VU Amsterdam), F. Spieksma

M. Li, 12-10-2017 Thompson sampling for Monte Carlo tree search and Maxi-min action identification Supervisors: W.M. Koolen & T. van Erven

T.D. van Mulligen, 30-9-2017 Knots in Number Theory Supervisors: R. van der Veen & G. Zalamansky

N. van der Kooy, 19-09-2017 The high school scheduling problem: improving local search & fairness evaluation Supervisor: F.M. Spieksma & B.A.F.J. van Kesteren

E.H. de Jong, 10-09-2017 Monitoring Method Effects in Bayesian Adaptive Survey Design Supervisors: M.J. de Rooij, B. Schouten (CBS, UU), N. Mushkudiani (CBS)

M. van den Bergh, 08-09-2017 The game of Cops and Robbers on geometric graphs Supervisors: F.M. Spieksma & T. Müller (UU)

D.S. Laman Trip, 31-08-2017 Learning undirected graphical models from high-dimensional data of mixed types with a parallel pseudolikelihood algorithm Supervisors: W. van Wieringen (VU) & A. van der Vaart (UL)

T. Tillij, 25-08-2017 Bounds on roots of unity in order Supervisor: H.W. Lenstra Jr.

J. Rauch, 21-08-2017 Using heuristics on local matrix groups to count Abelian surfaces Supervisor: M. Streng

B. van Munster, 18-08-2017 Computing the Alexander polynomial of proteins Supervisor: R.I. van der Veen

A. Iadarola, 26-07-2017 On the 8-rank of quadratic class groups Supervisor: P. Stevenhagen

M. Noordman, 26-7-2017 Gonality and bad reduction of modular curves Supervisor: B. Edixhoven

R. Pengo, 26-7-2017 An adelic description of modular curves Supervisor: P. Bruin

J. Sotáková, 26-07-2017 Eta quotients and class fields of imaginary quadratic fields Supervisor: M. Streng

H. Wang, 24-07-2017 Two-variable zeta functions and their properties through covers Supervisor: R. de Jong

M.B.J. Zwaan, 21-07-2017 Rotations of rigid bodies Supervisor: S.J. Edixhoven

J.M. Keijser, 20-07-2017 Learning transferable and discriminative feature by differentiable sparse coding Supervisor: T.A.L. van Erven

M. Straatman, 17-07-2017 Random variables on non-separable Banach spaces Supervisor: O.W. van Gaans & F. Spieksma

L. van der Velde, 05-07-2017 Analysis of some entrance probabilities for killed birth-death processes Supervisor: F. Spieksma

A.A. Hendriksen, 26-06-2017 Betting as an alternative to p-values Supervisor: P. Grünwald

I. Mennema, 16-05-2017 The distribution of consecutive square-free numbers Supervisor: E. Sofos & J.-H. Evertse

J. Hekking, 31-03-2017 Segal objects in homotopical categories & K-theory of proto-exact categories Supervisor: I. Moerdijk

C.F. van Oosten, 10-03-2017 Community Detection in an Time Dynamic Stochastic Block Model Supervisor: J. Schmidt-Hieber

I. Verstraten, 06-03-2017 Relaties tussen verschillende getalsontwikkelingen en hun eigenschappen Supervisor: C.C.C.J. Kalle

J.J. Lugthart, 19-01-2017 Multi-Task Covariate Selection for Genome-Wide Gene Expression Data Supervisor: T.A.L. van Erven

T.A. Ossewaarde, 11-01-2017 Mathematical analysis of intrinsic mode functions Supervisor: O.W. van Gaans

J.A. Dubbeldam, 20-12-2016 Sampling methods for Mini-Max Action Identification Supervisor: T.A.L. van Erven

V. Vos, 20-12-2016 Methods for determining the effective resistance Supervisor: F.M. Spieksma  

R. Apon, 09-12-2016 Aspects of automorphism towers Supervisor: Prof. Dr. H.W. Lenstra

T.A. de Graaf, 02-12-2016 Robust Mean-Variance Optimization Supervisors: O.W. van Gaans & M. van der Schans

M. Stekelenburg, 01-12-2016 Closure Data of Étale schemes Supervisors: O. Biesel & D. Holmes

L. Koopman, 01-12-2016 Comparing the delta method, individual level bootstrap, and cluster level bootstrap to compute standard errors of two-level scalability coefficients a simulation study Supervisor: Prof. dr. M.J. de Rooij

K. Bakunina, 01-11-2016 Causal inference on chemotherapy modifications Supervisor: Dr. M. Fiocco L.S. Eijsackers, 31-10-2016 SNP Genotype Calling of Tetraploid Species Using Bivariate Modelling Approaches Supervisor: G. Gort (WUR)

D.N.L. Kok, 28-10-2016 Lattice algebra representations of L1(G) on translation invariant Banach function spaces Supervisor: Dr. M.F.E. de Jeu

M. Sklyar, 27-10-2016 Computing Pareto Fronts of Implicitly Defined Objective Functions Supervisor: Dr. S.C. Hille

I. Fugers, 01-10-2016 Estimation of the impact of uncertainty in ORTEC’s Supply Chain Design software Supervisor: Dr. F.M. Spieksma

S. Robinson, 1-10-2016 Modelling Measurement Errors in Linked Administrative and Survey Data Supervisor: Dr. A.J. Schmidt-Hieber

S.G. Szatmari, 29-9-2016 A Formalization of the Paradigm Coordination Language, applied to the n-Arm Robot Problem Supervisor: Dr. F.M. Spieksma

M.A. Oort, 29-9-2016 The existence of bilayer structures of amphiphilic polymers through the multi-component functionalized Cahn-Hilliard free energy Supervisor: Prof. Dr. A. Doelman

J. van der Hoorn, 28-9-2016 The drift paradox in population dynamics Supervisor: Dr. S.C. Hille

L. Gabriel, 20-9-2016 A mathematical model for estimating drug concentrations in human brain fluid Supervisor: Dr. V. Rottschäfer

M. Assendorp, 16-9-2016 An overview of vegetation models in (semi) arid regions. Supervisor: Prof. Dr. A. Doelman

M.A. Abspoel, 15-9-2016 Shamir’s scheme is the only strongly multiplicative LSSS with maximal adversary Supervisor: Prof. Dr. R.J.F. Cramer

M.A. Bik, 25-7-2016 The varieties of e-th powers Supervisor: Dr. R.M. van Luijk

J. de Mol, 20-7-2016 Analysis of Deep Learning Models Supervisor: T.A.L. van Erven

R.A.C.H. Wols, 7-7-2016 A McCord Functor for Alexandroff Categories Supervisor: Dr. O.D. Biesel

A.A. Peters, 4-7-2016 Electrical networks and Markov chains Supervisor: Dr. L. Avena

A. Marrama, 3-7-2016 A Purity Theorem for Torsors Supervisor: dr. G.S. Zalamansky

W.M. Schouten, 1-7-2016 The Riesz-Kantorovich formula for lexicographically ordered spaces Supervisor: Dr. O. van Gaans

K.T.H. Yang, 30-6-2016 Pearling Bifurcation in the Augmented Functionalized Cahn-Hilliard Equation: the Weak Functionalization. Supervisor: Prof. Dr. A. Doelman

G. Simongini, 24-06-2016 An Invitation to Hyperbolic Geometry: gluing of tetrahedra and representation variety Supervisor: R.I. van der Veen

L. Giovenzana, 24-6-2016 Integral points on 2-dimensional quadrics over curves Supervisor: Prof. Dr. S.J. Edixhoven

F. Giovenzana, 24-6-2016 On the canonical key formula Supervisor: Dr. R.S. de Jong

M.A. Hashi, 22-6-2016 Affine Objects, Restrictive Morphisms and Quasi-coherent Sheaves Supervisor: Dr. O.D. Biesel

L.P. Jakobsson, 21-6-2016 Elliptic Curves with 2-torsion contained in the 3-torsion field Supervisor: Dr. M.J. Bright

R. de Heide, 2-6-2016 The Safe-Bayesian Lasso Supervisor: Prof. Dr. P. Grünwald

G. Pederzani, 1-6-2016 The Seed-Bank Coalescent Supervisor: Prof. Dr. W.Th.F. den Hollander

M. Jespers, 1-6-2016 An analogue of Chern-Weil theory for the line bundle of weak Jacobi forms on a non-compact modular surface Supervisor: Dr. R.S. de Jong

A. de Jesus Campos Rodriguez, 30-5-2016 Parametrizing the 2-Selmer group and the 3-Selmer group of an elliptic curve Supervisor: Dr. P.J. Bruin

Xiao Liu, 1-4-2016 Model of the Interaction between Ligand and Receptor in the Brain Supervisor: Dr. V. Rottschäfer

C.H.S. Hamster, 22-3-2016 Two Scale Dependent Feedback as a Model for Pattern Formation in Ecology Supervisor: Dr. V. Rottschäfer

A. Morra, 1-3-2016 A Goodness-of-fit test for Hardy-Weinberg Equilibrium in the Presence of Covariates Supervisor: Prof. Dr. A. van der Vaart

C.S. Verbeek, 18-2-2016 Modelling Alkaline Band Formation in Chara corallina Supervisor: Dr. S.C. Hille

D.G. Arroyo, 29-1-2016 Processes with independent increments. Supervisor: Dr. F.M. Spieksma

F.C. Claassens, 14-1-2016 Non-standard Analysis Supervisor: Dr. E. Coplakova en Dr. M.F.E. de Jeu

E. Karasmani, 1-1-2016 Descriptive analysis and inference of Higher-order Linkage Disequilibrium Supervisor: Prof. Dr. A. van der Vaart

N. Schoots, 21-12-2015 Generalising canonical extensions of posets to categories Supervisor: Dr. R.S. de Jong

N. Jongs, 2-12-2015 Dissimilarity based learning Supervisor: T.A.L. van Erven

S. Tsouprou, 1-12-2015 Measures of discrimination and predictive accuracy for interval censored survival data Supervisor: Dr. M. Fiocco

S.E. Wilson, 1-12-2015 Methods for Clustering Data with Missing Values Supervisor: M. Kampert MSc.

R. L. Felisco, 1-11-2015 Running Head: ASSESSING CHANGES OF PARAMETERS Supervisor:

Baobao Yuan, 28-10-2015 Cross-Validation in Row-conditional Nonmetric Unfolding: A Pilot Study Supervisor: Prof. dr. W. J. Heiser

I. Zanellato, 1-10-2015 Accuracy of classification methods for performance indicators Supervisor: Dr. M. Fiocco

K.L.W. Duisters, 1-9-2015 Bayesian smoothing and inference in longitudinal models with applications to pediatric developmental scores Supervisor: Prof. Dr. A. van der Vaart

T. Moerland, 1-9-2015 Knowing what you don’t know: Novelty detection for action recognition Supervisor: T.A.L. van Erven

Xinran Tang, 31-8-2015 Credit Loss Distribution and Copula in Risk Management Supervisor: Dr. O. van Gaans

C. Kwok, 28-8-2015 Potential robustness measures for digraphs Supervisor: Dr. F.M. Spieksma

S. Avdejevs, 24-8-2015 Coupling Method for the K-Competing Queues Problem with Abandonments Supervisor: Dr. F.M. Spieksma

J. van Splunder, 21-8-2015 Periodicity detection in network traffic Supervisor: Dr. F.M. Spieksma

S. Nicotra, 1-8-2015 Finite dimensional motives Supervisor: Dr. R.S. de Jong

C. Retel, 3-7-2015 Simulation-based power calculation for Next-Generation Sequence data Supervisor: Prof. Dr. A. van der Vaart

R. Bastiaansen, 1-7-2015 Pattern Formation in Animal Populations Supervisor: Dr. V. Rottschäfer

S. van der Lugt, 26-6-2015 Arakelov intersection theory applied to torsors of semi-stable elliptic curves Supervisor: Dr. R.S. de Jong

P. Koymans, 24-6-2015 The Catalan Equation Supervisor: Dr. J.H. Evertse

E. Lanari, 23-6-2015 Compatibility of Homotopy Colimits and Homotopy Pullbacks of Simplicial Presheaves Supervisor: Prof. I. Moerdijk

M. Vergura, 1-6-2015 A Giraud-type Theorem for Model Topoi Supervisor: Prof. Dr. S.J. Edixhoven

M. Mantegazza, 30-4-2015 Compactness in Toposes Supervisor: Dr. R.M. van Luijk

E.T.G. Schlebusch, 31-3-2015 Grundy’s Game Supervisor: Dr. F.M. Spieksma

A. Gagna, 24-2-2015 The Cisinski-Moerdijk model structure on planar dendroidal sets Supervisor: Dr. D.S.T. Holmes

G. Flore, 1-2-2015 Modes of Analysis for a set of N-of-1 Trials Supervisor: Dr. M. Fiocco

D. Verburg, 23-1-2015 Keeping track of time Supervisor: Dr. S.C. Hille

B. Dijkstra, 9-1-2015 The effects of weather circumstances on the onset of influenza-like illness using the Grote Griepmeting data Supervisor: Prof. dr. J.J. Meulman

H. van Imhoff, 21-12-2014 Composition Multiplication Operators on pre-Riesz spaces. Supervisor: Dr. O. van Gaans

V.J.C. Buurman, 18-12-2014 Stacked Domain Learning Supervisor: Prof. Dr. P. Grünwald

F.M. van Oudenhoven, 1-11-2014 Statistical methodology for volume-outcome studies Supervisor: Dr. M. Fiocco

J.Jonges, 24-10-2014 Properties of radonifying operators Supervisor: Dr. O. van Gaans

X. Li, 16-10-2014 Estimation for Non-Markov Multi-states Models Supervisor: Dr. M. Fiocco

M.A. Lopuhaä, 8-9-2014 Pink’s conjecture on semiabelian varieties Supervisor: Dr. L.D.J. Taelman

T. Hou, 27-8-2014 Mathematical Models And Statistical Analysis of Credit Risk Management Supervisor: Dr. O. van Gaans

S. Amodio, 14-8-2014 Combining clustering of preference rankings with the unfolding model Supervisor: Prof. dr. W. J. Heiser

N. uit de Bos, 1-8-2014 Induced maps on Grothendieck groups Supervisor: Dr. L.D.J. Taelman

H. Rohrbach, 24-7-2014 The Geometry of the Gauss Map and Moduli of Abelian Varieties Supervisor: Dr. R.S. de Jong

G. Orecchia, 9-7-2014 Torsion-free rank one sheaves on a semi-stable curve Supervisor: Prof. Dr. S.J. Edixhoven

R. Winter, 9-7-2014 Concurrent exceptional curves on del Pezzo surfaces of degree one Supervisor: Dr. R.M. van Luijk

R. Ferrario, 9-7-2014 Galois closures for monogenic degree-4 extensions of rings Supervisor: Dr. O.D. Biesel

A. Pasquali, 9-7-2014 Representations of SL2 and GL2 in defining characteristic Supervisor: Dr. L.D.J. Taelman

N. Jansen, 4-7-2014 Reduction of Return on Investment Time and Failures in the Distribution Grid by Measuring Temperature and Current on Cable Joints Supervisor: Dr. F.M. Spieksma

R. van Bommel, 23-6-2014 Almost all hyperelliptic Jacobians have a bad semi-abelian prime Supervisor: Dr. D.S.T. Holmes

S.J.W. Willems, 1-6-2014 Inverse Probability Censoring Weights for Routine Outcome Monitoring Data Supervisor: Prof. Dr. A. van der Vaart

R. Taghavi, 1-5-2014 Individual Patient Data Meta-Analysis of Time-to-Event Outcomes: An Application of a Poisson-Gamma-Frailty Model Supervisor: Prof. Dr. A. van der Vaart

K. Papadimitropoulou, 1-4-2014 A Cautionary Note on Data Augmentation Algorithms Supervisor: Prof. dr. W. J. Heiser

H.D. Visse, 4-3-2014 Local computations on the Cassels–Tate pairing on an elliptic curve Supervisor: Dr. R.M. van Luijk

F. Ruoff, 30-1-2014 Positive C(K)-representations and positive spectral measures Supervisor: Dr. M.F.E. de Jeu

R.B. Kappetein, 24-1-2014 Optimal control of a server farm Supervisor: Dr. F.M. Spieksma

W.P.S. Cames van Batenburg, 13-12-2013 Almost sure bounds for the mass dimension and discrete Hausdorff dimension of the Incipient Infinite Cluster Supervisor: Dr. M.O. Heydenreich

J. Hemerik, 1-12-2013 Permutation Tests and Multiple Testing Supervisor: Drs. J.J. Goeman

W. Zomervrucht, 27-11-2013 Descent of Curves Supervisor: Dr. L.D.J. Taelman

E. Thoen, 1-10-2013 Piecewise constant models for ICU infection problems Supervisor: Prof. dr. J.J. Meulman

T.A. Balan, 1-9-2013 Joint Modeling of Recurrent and Terminal Events Supervisor: Prof. Dr. A. van der Vaart

N.C. Krol, 30-8-2013 Penalized logistic regression: a quadratic difference penalty Supervisor: Drs. J.J. Goeman

H.B.R. van Eijk, 30-8-2013 The statistical strength of forensic identification through mobile phone call data records Supervisor: Prof. dr. R.D. Gill

R.M.J. Vooys, 29-8-2013 Een blik achter de verrassend wiskundige structuur van M.C. Eschers Prentententoonstelling Supervisor:

S. Berens, 28-8-2013 Conditional Rényi entropy Supervisor: Prof. dr. R.D. Gill

B. Kamphorst, 23-8-2013 Damage Reduction of Cascade Tripping in High Voltage Power Grids by means of Intentional Islanding Supervisor: Dr. F.M. Spieksma

A. Javanpeykar, 22-8-2013 Radical Galois groups and cohomology Supervisor: Prof. Dr. H.W. Lenstra

A.J. Vromans, 12-8-2013 Stationary solutions of curvature driven phase-field flow Supervisor: Prof. Dr. A. Doelman

S. Huisman, 1-8-2013 Penalised graphical models for combined mRNA and miRNA data Supervisor: Prof. Dr. A. van der Vaart

L. Jansen, 25-7-2013 Robust Bayesian inference under model misspecification Supervisor: Prof. Dr. P. Grünwald

J. van Waaij, 16-7-2013 Tensor products in Riesz space theory Supervisor: Dr. O. van Gaans

J. Commelin, 16-7-2013 Algebraic cycles, Chow motives, and L-functions Supervisor: Dr. R.S. de Jong

A. Moritz, 11-7-2013 An introduction to and comparison of three notions of dimension in metric spaces Supervisor: Dr. S.C. Hille

M. Serra, 9-7-2013 Smooth models of curves Supervisor: Dr. D.S.T. Holmes

M. Stanojkovski, 9-7-2013 Evolving Groups Supervisor: Prof. Dr. H.W. Lenstra

V. Grazian, 9-7-2013 Expander Families of Coverings Supervisor: Dr. L.D.J. Taelman

S. Marseglia, 9-7-2013 Super-multiplicativity of ideal norms in number fields Supervisor: Dr. B. de Smit

C. Damiolini, 9-7-2013 The braid group and the arc complex Supervisor: Dr. L.D.J. Taelman

N. van Buuren, 5-7-2013 Latent Class Based Algorithms for Computerized Adaptive Testing: Improving the progress test for medical students in the Netherlands Supervisor: Prof. dr. W. J. Heiser

D. van de Meeberg, 18-6-2013 Game Theory in Peer-to-Peer File Sharing Networks Supervisor: Dr. F.M. Spieksma

T.M.J. van Zalen, 13-6-2013 Waves in excitable media Supervisor: Dr. S.C. Hille

F. Faraci, 16-5-2013 The 60th anniversary of the Hodgkin-Huxley model: a critical assessment from a historical and modeller’s viewpoint Supervisor: Dr. S.C. Hille

P. Marcus, 26-4-2013 Comparison of Heterogeneous Probability Models for Ranking Data Supervisor: Prof. dr. W. J. Heiser

M. Hazelbag, 1-4-2013 Heterogeneous linear mixed models applied to the segmentation of long-term liking data Supervisor: Prof. Dr. P. H. C. Eilers

P. van Osch, 1-4-2013 A Bayesian population pharmacokinetic meta-analysis of individual participant data Supervisor: Prof. dr. E. Lesaffre

D.D. Sierag, 8-3-2013 Pricing Derivatives on Multiple Assets Supervisor: Dr. F.M. Spieksma

R. Hoogwater, 27-2-2013 Non-linear structured population models: an approach with semigroups on measures and Euler’s method Supervisor: Dr. S.C. Hille

S.L. van der Pas, 21-2-2013 Almost the best of three worlds - The switch model selection criterion for single-parameter exponential families Supervisor: Prof. Dr. P. Grünwald

G.B. Overal, 18-1-2013 Metabolic Explosion in Yeast Glycolysis Supervisor: Dr. S.C. Hille

L.M. Brandwacht, 11-1-2013 Dimensioning the Cloud Supervisor: Dr. F.M. Spieksma

S.A. Postma, 19-12-2012 Pattern formation in mussel beds Supervisor: Prof. Dr. A. Doelman

C.S.L. de Graaf, 27-9-2012 Finite Difference Methods in Derivatives Pricing under Stochastic Volatility Models. Supervisor: Prof. Dr. Ir. B. Koren

W.W. Subramanian, 27-9-2012 Cones, Positivity and Order Units Supervisor: Dr. O. van Gaans

M. Derickx, 24-9-2012 Torsion points on elliptic curves and gonalities of modular curves Supervisor: Prof. Dr. S.J. Edixhoven

A. Driessen, 14-9-2012 Statistical techniques for prediction using semi-quantitative data from micro-arrays Supervisor: Prof. dr. J.J. Meulman

T.E. Feenstra, 7-9-2012 Conditional Prediction without a Coarsening at Random condition Supervisor: Prof. Dr. P. Grünwald

T.C. van Barneveld, 29-8-2012 Heuristic Methods for Makespan Minimization in Project Scheduling Supervisor: Dr. F.M. Spieksma

W. Budiaji, 27-8-2012 Item Response Models from a Distance Perspective Supervisor: Prof. dr. J.J. Meulman

Xiang-Yi Chen, 27-8-2012 Statistical Inference of the ASRF Model in Credit Risk Management Supervisor: Prof. Dr. A. van der Vaart

L. Sewalt, 23-8-2012 Pattern formation in a generalized Klausmeier-Gray-Scott model Supervisor: Dr. V. Rottschäfer

B. de Rijk, 20-8-2012 The Order Bicommutant Supervisor: Dr. M.F.E. de Jeu

M. Roelands, 14-8-2012 Amenability in Positivity Supervisor: Dr. M.F.E. de Jeu

C.J. Meerman, 1-8-2012 Asymptotic analysis on blow-up solutions of the Generalized Korteweg-de Vries equation Supervisor: Dr. V. Rottschäfer

R. Luijk, 26-7-2012 The group lasso in the proportional hazards model with an application to multiply imputed high-dimensional data Supervisor: Drs. J.J. Goeman

H. de Vries, 20-7-2012 The Katowice Problem Supervisor: Dr. K.P. Hart

S. Howe, 10-7-2012 Higher genus counterexamples to relative Manin–Mumford Supervisor: Prof. Dr. S.J. Edixhoven

J. Griggio, 5-7-2012 Perfectly Secure Message Transmission Protocols with Low Communication Overhead and Their Generalization Supervisor: Prof. Dr. R.J.F. Cramer

V. Zakharevich, 5-7-2012 Mixed Intermediate Jacobians Supervisor: Dr. R.S. de Jong

D. Festi, 5-7-2012 Density of Rational Points on a Family of Diagonal Quartic Surfaces Supervisor: Dr. R.M. van Luijk

M. Lucchini, 3-7-2012 On local Galois module structure for cyclic extensions of prime degree Supervisor: Dr. B. de Smit

B. Bastiaensen, 7-6-2012 Robust Trend Regression Supervisor: Prof. Dr. P. H. C. Eilers

F. Olsthoorn, 3-4-2012 The Price of Anarchy Supervisor: Dr. F.M. Spieksma

G. Frasso, 1-3-2012 Smoothing parameter selection using the L-curve Supervisor: Prof. Dr. P. H. C. Eilers

O.U. Lenz, 20-12-2011 The classifying space of a monoid Supervisor: Dr. L.D.J. Taelman

J. Jin, 19-12-2011 Point counting formulae on universal elliptic curves Supervisor: Prof. Dr. S.J. Edixhoven

A. Astolfi, 21-11-2011 On Proving Permutations in Zero-Knowledge Supervisor: Prof. Dr. R.J.F. Cramer

M.M.D. Kampert, 27-10-2011 Statistical Analysis in Genome-Wide Association Studies on GenoType-Imputed Family Data: A Research Strategy to Compare Various Toolsets Supervisor: Prof. dr. J.J. Meulman

A. Cevallos, 18-10-2011 Reducing the Share Size in Robust Secret Sharing Supervisor: Prof. Dr. R.J.F. Cramer

R.H. Eggermont, 26-9-2011 Generalizations of a theorem by Brauer and Nesbitt Supervisor: Prof. Dr. H.W. Lenstra

E.P.J.A. Siero, 1-9-2011 A H2 well-posedness result for second order quasilinear parabolic PDE’s on the real line with an application to a generalisation of the Gray-Scott model Supervisor: Dr. j. Rademacher

L.C. Smit, 30-8-2011 Efficient Computations for a Class of Markov Chains and Related Applications Supervisor: Dr. F.M. Spieksma

Y. Achnine, 29-8-2011 On the main conjecture on algebraic-geometric MDS codes. Supervisor: Dr. R.S. de Jong

S. Ding, 26-8-2011 Multi-class Fork-Join queues & The stochastic knapsack problem Supervisor: Dr. F.M. Spieksma

F.W. van Rest, 26-8-2011 Advance appointment booking in chemotherapy Supervisor: Dr. F.M. Spieksma

V. Veselic, 25-8-2011 Blooming in a non-local, coupled phytoplankton-nutrient model Supervisor: Dr. V. Rottschäfer

W. Zhuang, 18-8-2011 Hasse–Weil zeta function in a special case Supervisor: Prof. M. Harris

D. Calliari, 7-7-2011 Reconstruction of Cubic Surfaces Supervisor: Dr. R.S. de Jong

F.H.S. Offergelt, 1-7-2011 SAPHYRE Cooperation among competitors Supervisor: Dr. F.M. Spieksma

W. Ellens, 29-4-2011 Effective resistance Supervisor: Dr. F.M. Spieksma

J. Rozendaal, 26-4-2011 Decomposing positive representations in L p -spaces for Polish transformation groups Supervisor: Dr. M.F.E. de Jeu

T. van Ommen, 10-3-2011 Combining predictions from linear models using the switch distribution Supervisor: Prof. Dr. P. Grünwald

A.K.A. Kalsbeek, 21-1-2011 Continuous-time GARCH(1,1) processes Supervisor: Dr. O. van Gaans

J. J. van Wamelen, 18-1-2011 Bayesian Networks in Forensic DNA Analysis Supervisor: Prof. dr. R.D. Gill

G.F van Helden, 15-12-2010 Ship scheduling at Seatrade Reefer Chartering Supervisor: Dr. F.M. Spieksma

J. Michielsen, 9-12-2010 L-functions of the projective line Supervisor: Prof. Dr. H.W. Lenstra

A.G. Hauwert, 10-11-2010 Time dependent optimization problems in networks Supervisor: Dr. F.M. Spieksma

A. Stolwijk, 12-10-2010 Solution Concepts in Cooperative Game Theory Supervisor: Dr. F.M. Spieksma

R. de Jong, 30-9-2010 Ordered Banach Algebras Supervisor: Dr. M.F.E. de Jeu

H. Nooitgedagt, 31-8-2010 Two convergence limits of Markov chains: Cutoff and Metastability. Supervisor: Prof. Dr. W.Th.F. den Hollander

M. Irwin, 27-8-2010 Short-term Revenue Forecasting at KLM Supervisor: Dr. F.M. Spieksma

J.P. van der Horst, 27-8-2010 Finding ABC-triples using Elliptic Curves Supervisor: Dr. B. de Smit

A.C. Snel, 24-8-2010 Optimal trading strategy for storage systems Supervisor: Dr. F.M. Spieksma

Fan Shi, 20-8-2010 Asymptotic blowup vortex solutions of the NLS Supervisor: Dr. V. Rottschäfer

L. de Boer, 16-8-2010 What makes fish school? Supervisor: Dr. S.C. Hille

M. Zordan, 28-6-2010 On Galois extensions generated by radicals Supervisor: Prof. Dr. H.W. Lenstra

N. Sambin, 28-6-2010 Geometric constructions of the irreducible representations of GL m (C) Supervisor: Dr. R.S. de Jong

A. Zottarel, 28-6-2010 Encryption from Weaker Assumptions Supervisor: Dr. E. Kiltz

R. Rainone, 28-6-2010 On the inverse problem for deformation rings of representations Supervisor: Dr. B. de Smit

V. Pastro, 28-6-2010 Construction of Rational Elliptic Surfaces with Mordell-Weil Rank 4 Supervisor: Dr. C. Salgado Guimaraes de Silva

M.F. Kosters, 21-6-2010 Anisotropic modules and the integral closure Supervisor: Prof. Dr. H.W. Lenstra

I. Varma, 18-6-2010 Sums of Squares, Modular Forms, and Hecke Characters Supervisor: Prof. Dr. S.J. Edixhoven

Ariyan Javan Peykar, 17-6-2010 The Grothendieck-Riemann-Roch Theorem Supervisor: Prof. Dr. J.P. Murre

H.P. Chang, 11-6-2010 Asymptotically good generalized algebraic geometry codes Supervisor: Dr. R.S. de Jong

S.C. Raynor, 5-3-2010 The Riemann-Roch theorem is a special case of the Atiyah-Singer index formula Supervisor: Dr. M. Lübke

F. Trova, 20-11-2009 On the Geometric Realization of Dendroidal Sets Supervisor: Prof. I. Moerdijk

C. Borghi, 12-11-2009 Discrete choice models for marketing Supervisor: Prof. dr. R.D. Gill

G.G.A. Westhoff, 12-11-2009 Modelling Repeated Measurements of Renal Function during dialysis with cut off due to complete kidney failure Supervisor: Prof. dr. R.D. Gill

Y.C. Kleinherenbrink, 11-9-2009 Netwerkoptimalisatie Supervisor: Prof. Dr. L.C.M. Kallenberg

A. Kret, 31-8-2009 Galois Representations Supervisor: Prof. Dr. S.J. Edixhoven

E.M. de Deckere, 25-8-2009 Understanding the bounds for the chromatic number of the Erdös-Rényi graph and its subgraphs Supervisor: Prof. Dr. L.C.M. Kallenberg

A. Gioia, 8-7-2009 Normal forms in combinatorial algebra Supervisor: Prof. Dr. H.W. Lenstra

Bassel Hajj-Chehade, 8-7-2009 Sheaf cohomology on sites and the Leray spectral sequence Supervisor: Dr. G. Chênevert

Julio Brau, 8-7-2009 Congruence conditions on supersingular primes Supervisor: Prof. Dr. P. Stevenhagen

Valentina Masarotto, 8-7-2009 Metric and arithmetic properties of a new class of continued fraction expansions Supervisor: Dr. C.

Cheng-Yuan Lu, 8-7-2009 Simple Modules of Reductive Groups Supervisor: J. Tilouine

Haoran Wang, 8-7-2009 Moduli Spaces of p-devisible Groups and Period Morphisms Supervisor: J.F. DAT

M. Pronk, 14-4-2009 An analytical approach to a stochastic process that underlies a class of structured population models Supervisor: Dr. S.C. Hille

A.A. van Boxtel, 1-9-2008 A Banach Space-Valued Stochastic Integral with respect to a Jump Process Supervisor: Dr. O. van Gaans

P.C. Hutter, 1-8-2008 Generic extensibility for the scheduler of an advanced planning system Supervisor: Prof. Dr. L.C.M. Kallenberg

J. Wang, 1-8-2008 An heuristic approach to Markov decision processes based on the Interior point method Supervisor: Prof. Dr. L.C.M. Kallenberg

J.H. Bakker, 1-8-2008 De partitieformule van Euler Supervisor: Dr. H. Finkelnberg

M. Walenkamp, 17-7-2008 Forecasting stock index volatility Supervisor: Dr. E.W. van Zwet

R.P.M.J. Jurrius, 27-6-2008 Classifying polynomials of linear codes Supervisor: Dr. R.S. de Jong

A. Mohajer, 27-6-2008 Algebraic and analytic multiplier ideals and their applications Supervisor: Dr. R.S. de Jong

Hu Yong, 19-6-2008 R-equivalence and Zero-Cycles on 3-Dimensional Tori Supervisor: Dr. F.R.A. Doray

Wen-Wei Li, 9-6-2008 The Weil Representation and Its Character Supervisor: Prof. Dr. J-L. Waldspurger

Zongbin Chen, 1-6-2008 Correspondence between cubic algebras and twisted cubic forms Supervisor: Dr. L.D.J. Taelman

E.D. van Werkhoven, 1-6-2008 Imputation methods for non-response in economical survey data Supervisor: Dr. E.W. van Zwet

M.E. Aharpour, 1-6-2008 Diagonalization and maximal torus reduction Supervisor: Dr. M. Lübke

S. Liu, 1-5-2008 Trinomials and exponential Diophantine equations Supervisor: Prof. Dr. H.W. Lenstra

S. Dirksen, 1-10-2007 Beyond the stars: crossed products of Banach algebras Supervisor: Dr. M.F.E. de Jeu

A.C. Veldman, 1-9-2007 Evidential strength of Y-STR haplotype matches in forensic DNA casework Supervisor: Dr. E.W. van Zwet

R.K. Singh, 1-8-2007 Anticyclotomic p-adic L-functions attached to elliptic curves over imaginary quadratic fields Supervisor: Prof. Dr. S.J. Edixhoven

B.E. van Dalen, 1-7-2007 Dependencies between line sums Supervisor: Prof. Dr. R. Tijdeman

A.B. Aaten, 1-6-2007 Ik begreep er niets van - het leek wel algebra Supervisor: dr. C.G. Zaal

D. Mikdad, 1-6-2007 Integral models of tori Supervisor: Prof. Dr. H.W. Lenstra

P. Joubert, 1-6-2007 The topology of isolated singularities on complex hypersurfaces Supervisor: dr. J.A.W. Schepers

A. Trevisan, 1-6-2007 Lattice polytopes and toric varieties Supervisor: Dr. O. Karpenkov

A. Barry, 1-6-2007 The abc-conjecture and k-free numbers Supervisor: Dr. J.H. Evertse

C. Sanabria, 1-6-2007 Third order linear differential equations over C(z,d/dz)1G Supervisor: Prof.dr. J. Top

A. Stavrova, 1-6-2007 Motivic decomposition of projective homogeneous varieties Supervisor: Dr. F.R.A. Doray

H. Zhao, 1-6-2007 The extension of an elliptic curve by the multiplicative group over F_q Supervisor: Prof. Dr. S.J. Edixhoven

N.V.A.Aryasomayajula, 1-6-2007 Average Height Of Isogenous Abelian Varieties Supervisor: Dr. R.S. de Jong

Z. Ljujic, 1-6-2007 Prime densities for generalized Lucas sequences Supervisor: Prof. Dr. P. Stevenhagen

M. Perone, 1-6-2007 Finite monoids and actions on group ring units Supervisor: Dr. B. de Smit

C. den Butter, 26-1-2007 Het Financieel Toetsingskader Supervisor: Prof. Dr. L.C.M. Kallenberg

M. Hendriks, 15-1-2007 Surface automorphisms and the Nielsen realization problem Supervisor: Prof. Dr. H. Geiges

D. Worm, 22-9-2006 The interplay between flows and C*-algebras Supervisor: Dr. M.F.E. de Jeu

G. Houtman, 25-8-2006 The FitzHugh-Nagumo equations on an unbounded domain Supervisor: Dr. S.C. Hille

P.A.M. Janssen, 22-8-2006 Stochastic games Supervisor: Prof. Dr. L.C.M. Kallenberg

S. Scholtus, 21-8-2006 Weighted distance transforms with integer neighbourhoods Supervisor: Prof. Dr. R. Tijdeman

H. Liu, 21-8-2006 Sandpile and anti-sandpile models Supervisor: Prof. Dr. F. Redig

M.B.N. van der Meer, 4-8-2006 Kijken in een glazen bol. Voorspellen van IBNR schade Supervisor: Dr. E.W. van Zwet

L.M. Ter Bruggen Hugenholtz, 19-7-2006 De geschiedenis van de vergelijking van Pell Supervisor: Prof. Dr. J.P. Hogendijk

A.P. Stolk, 28-6-2006 On class field theory for curves Supervisor: Prof. Dr. S.J. Edixhoven

M. van der Schans, 16-6-2006 Harmonic map heat flow Supervisor: Prof. Dr. R. van der Hout

P.J. Bruin, 1-6-2006 Green functions on Riemann surfaces and an application to Arakelov theory Supervisor: Prof. Dr. S.J. Edixhoven

J.G. Dopper, 1-5-2006 Bounds on the coupling time in acyclic queuing networks Supervisor: Prof. Dr. L.C.M. Kallenberg

R.C. Polle, 7-4-2006 Op weg naar de Riemann Hypothese Supervisor: Dr. H. Finkelnberg

H.W. Verhoek, 1-3-2006 Class number parity of real fields of prime conductor. Supervisor: Dr. B. de Smit

P.M.J. Tibboel, 1-12-2005 Drums and eigenvalues Supervisor: Dr. M.F.E. de Jeu

J. Ma, 1-9-2005 Forecast of mail volumes. Predicting daily mail volumes for sorting centers Supervisor: Dr. E.W. van Zwet

W.J. van der Wel, 1-9-2005 De relatie tussen algoritmes voor het oplossen van Markovbeslissingsproblemen Supervisor: Prof. Dr. L.C.M. Kallenberg

B. Greevenbosch, 1-6-2005 On the separation of sounds of musical instruments Supervisor: Dr. D.R. Pik

T. Idema, 1-6-2005 The behaviour and attractiveness of the Lotka-Volterra equations Supervisor: Prof. Dr. S.M. Verduyn Lunel

S. Sandon, 1-4-2005 On the Chern correspondence for principal fibre bundles with complex reductive structure group Supervisor: Dr. M. Lübke

J.F. Brakenhoff, 1-2-2005 The representation ring and the center of the group ring Supervisor: Dr. B. de Smit

L.C. van Beek, 1-7-2004 Finite time blow-up of a singular parabolic problem Supervisor: Prof. Dr. R. van der Hout

W.J. Palenstijn, 1-3-2004 Galois action on division points Supervisor: Dr. B. de Smit

M.G. Engels, 1-1-2004 Portfolio optimization: beyond Markowitz Supervisor: Prof. Dr. L.C.M. Kallenberg

M.E. van Iwaarden, 1-11-2003 Modeling a vehicle with use of partial vehicles and implementation in MATLAB/Simulink Supervisor: Prof. Dr. S.M. Verduyn Lunel

J.L.A.H. Daems, 1-9-2003 A cyclotomic proof of Catalan's conjecture Supervisor: Prof. Dr. P. Stevenhagen

Ana Lukic, 1-6-2003 The support problem Supervisor: Dr. B. de Smit

J.A.J. den Haag, 1-6-2003 Time of peak response in turnover models in pharmacokinetics and pharmacodynamics Supervisor: Prof. Dr.Ir. L.A. Peletier

M. Onderwater, 1-6-2003 The expected exit time in applications. A two-sided approach. Supervisor: Prof. Dr. S.M. Verduyn Lunel

M.A. Swart, 1-5-2003 Airport capacity modelling for dynamic separation distance schemes. Supervisor: Prof. Dr. S.A. van de Geer

H.J. Hupkes, 3-4-2003 Analysis of Newton's method to compute travelling wave solutions to lattice differential equations Supervisor: Prof. Dr. S.M. Verduyn Lunel

E. Wubben, 23-9-2002 Doorstroommodel TWR/APP Supervisor: Prof. Dr. L.C.M. Kallenberg

K.J. Batenburg, 1-8-2002 Analysis and optimization for an algorithm for Discrete Tomography Supervisor: Prof. Dr. R. Tijdeman

Bas Jansen, 1-6-2002 Mersenne primes of the form x2+dy2 Supervisor: Dr. B. de Smit

R. Pietersz, 1-8-2001 The LIBOR market model Supervisor: Prof. Dr. S.M. Verduyn Lunel

J.J. Goeman, 1-7-2001 Using Survival to Predict Survival Supervisor: Prof. Dr. S.A. van de Geer

E. Emsiz, 1-6-2001 Een nieuwe constructie van plurisubharmonische functies en enkele toepassingen Supervisor: dr. J. Wiegerinck

R. Planqué, 1-1-2000 The role of knot theory in DNA-research Supervisor: Prof. Dr. H. Geiges

J. Kim, 27-08-2020 Cross-sectional and longitudinal analyses of SO2 emissions from ships using TROPOMI Supervisor: M. Emmerich (LIACS), M. Kampert (MI)

V. Arntzen, 25-05-2020 Weighted Cox regression models to correct for outcome dependent sampling in clustered survival data Supervisor: M. Fiocco

N. Tilman, 16-03-2020 Prediction models for survival data with machine learning: an application to soft tissue sarcoma cohort Supervisor: M. Fiocco

L. Apon, 19-02-2020 Optimal scaling regression with factor-by-curve interactions Supervisor: S. Willems, A. van der Kooij, J. Meulman, E. Dusseldorp

F. Tiedemann, 21-01-2020 Robust online learning Supervisor: T. van Erven

J. Lin, 12-12-2019 Seperating treatment from prognosis - The case of predicting the risk of bleeding under no platelet transfusions Supervisors: N. van Geloven, S. le Cessie, P. Ypma (Haga)

A. Riezebos, 29-11-2019 Finding impact data in humanitarian documents Supervisors: W. Kraaij & M. Kampert

E. Katsaros, 26-11-2019 A triplet-learnt coarse-to-fine reranking for vehicle re-identification Supervisors: H. Bouma (TNO), A. van Rooijen (TNO), E. Dusseldorp  C. Liu, 25-11-2019 Comparison of two methods for developing tree-based rules of personalized treatment assignment with categorical pretreatment characteristics Supervisors: E. Dusseldorp & J. Gonzalez T.J. Chen, 20-11-2019 Subgroup identification in clinical trials - comparing methods QUINT and OTR with a focus on subgroups with no treatment difference Supervisors: E. Dusseldorp & M. Fokkema

H. Zheng, 19-11-2019 Using sampling matching methods to remove selectivity in survey analysis with categorical data Supervisors: T. de Waal (CBS) & W.J. Heiser

N. Bukarina, 31-10-2019 Applying machine learning to a job-candidate matching problem Supervisors: S. Verberne & T. van Erven

C. Chan, 22-10-2019 Statistical deconvolution of tumor gene expression data Supervisors: M. van der Wiel (AMC) & S. van der Pas

N. Voerman, 17-10-2019 A probabilistic approach to quantify the strength of evidence of presence of cell types from RNA data using a multi-label method Supervisors: R.D. Gill & R.J.F. Ypma

R.J. Turner, 23-9-2019 Safety tests for 2x2 contingency tables and the Cochran-Mantel-Haenszel test Supervisor: P.Grünwald

E. Brillaki, 10-9-2019 The impact of measurement error on prediction rule ensembles for classification Supervisors: M. de Rooij & M. Fokkema N. Mereu, 09-09-2019 Heteroskedasticity in online linear regression - an application of weighted regression Supervisors: T. van Erven & D. van der Hoeven

Y. Chen, 25-08-2019 Network inference with EM algorithm - Extract the signal from the data using replications Supervisor: W. van Wieringen (VU) A. Vervoorn, 22-08-2019 An alternative to standardizing predictors in the LASSO with an eye on selection psychology Supervisors: H. Kelderman & M. de Rooij G. Vlassopoulos, 11-07-2019 Decision boundery approximation: a new method for locally explaining predictions of complex classification models Supervisor: T. van Erven 

A. Plaatsman, 11-6-2019 Advances in multivariate logistic distance modelling Supervisors: M. de Rooij & F. Busing

A. Chahid Mohamed, 16-4-2019 Predicting recurrence of Thrombosis: a comparison of different methods to build prediction models Supervisors: S. le Cessie & J. Goeman D. Georgiadou Classifying subjects with Alzheimer's disease - The Delta-Machine performance using five different distance measures Supervisors: M. de Rooij & W.J. Heiser

E.F. Bonneville, 5-4-2019 Bayesian forecasting of infectious disease epidemics Supervisors: M. Fiocco & J. Wallinga

M. van Kempen, 29-3-2019 Validating the All-Resolutions Inference method for analyzing fMRI and building a comprehensive app for the end users Supervisors: W. Weeda & J. Goeman

T. Morley, 28-2-2019 The positivity assumption and marginal structural models in a survival context Supervisor: M. Fiocco

D. Kim, 12-12-2018 Development of a statistical matching method with categorical data Supervisors: T. de Waal (CBS), A. van Delden (CBS), M.J. de Rooij, T.F. Wilderjans

O. Elzinga, 30-11-2018 Text mining of fMRI at full resolution by energy coding and entropy bagging of "resting state" series Supervisors: W.D. Weeda & T.F. Wilderjans

M. Hollmann, 28-11-2018 Weakly-Supervised Speaker Presence Detection on Podcast Episodes Supervisors: W. Kowalczyk (LIACS) & P. Grünwald (UL)

Y. Zhang, 20-11-2018 A comparison of methods for estimating Restricted Mean Survival Time Supervisor: H. Putter (LUMC) & A.G. Hernandez (Astellas)

J.R. Veerman, 02-11-2018 Estimating Error and Prior Variance in a High-Dimensional Ridge Regression Models - With Applications to Bayesian Structural Equation Models for Finding Treatment Targets Supervisor: M. van de Wiel

D. Gawehns, 31-10-2018 Preschoolers during recess: dynamic patterns in face-to-face interactions Supervisor: M. van Leeuwen & P. Grünwald

G. Kantidakis, 29-10-2018 Prediction Models for Liver Transplantation - Comparisons between Cox proportional hazards regression models and machine learning techniques Supervisors: M. Fiocco & C. Lancia

I. Quataert, 17-10-2018 Customer Lifetime Value calculations for mobile contracts of a telecom provider using a life time prediction method for competing events Supervisors: H. Putter (LUMC), N. van Geloven (LUMC), H. Bouali (KPN), M. Muller (KPN)

H. Gao, 09-10-2018 Estimating the Actual Relocation of Dutch People Based on `Wish to Move' Messages on Twitter Supervisors: W. Kraaij (UL), P.D. Grünwald (UL),  P.J.H. Daas (CBS)

A.-D. Hazewinkel, 28-09-2018 Prediction models with survival data: a comparison between machine learning and a Cox proportional hazard regression model Supervisor: M. Fiocco (UL)

L. Yang, 19-09-2018 MDL-based Map Segmentation for Trajectory Mining Supervisors: P.D. Grünwald (UL), M. van Leeuwen (UL), M. Baratchi (UL)

M.J.G. van Schaik, 03-09-2018 Applications of the Convexified Convolutional Neural Network   Supervisor: A.J. Schmidt-Hieber (UL) 

Y. Hille, 30-8-2018 Using synchronicity in neural responses to predict population behaviour Supervisors: T.F. Wilderjans (UL), W.D. Weeda (UL), P.C. Schoonees (EUR)

M. Vinkenoog, 29-08-2018 Reconstruction by deconstruction: diplotype frequency estimation for genotype data in stratified populations Supervisors: S. Böhringer (LUMC) & A.W. van der Vaart (UL)

X. Zhang, 29-08-2018 Evaluating the PCA-based Eigenconnectivity Approach to Extract Dynamic Functional Brain Connectivity Patterns Supervisors: T.F. Wilderjans (UL) & W.D. Weeda (UL)

V. de Bakker, 27-08-2018 A Novel Cross-Validation Framework for Identification of Atmospheric Aerosol Types Supervisors: W.D. Weeda (UL), J. de Vries (Airbus Defence & Space)

L.L. Pas, 25-07-2018 Statistical Criminal Profiling Predicting Homicide Offender Characteristics using a Bayesian Network Supervisors: P.J.F. Lucas (LIACS), B.J.A. Mertens (LUMC)

Y. Liu, 05-07-2018 A simulation study to evaluate the performance of Bayesian variable selection in identification of the source of food-borne disease outbreaks Supervisors: J.J. Goeman (LUMC), B.J.A. Mertens (LUMC)

M.R.M. Rijnen, 29-06-2018 Predicting Churn using Hybrid Supervised-Unsupervised Models Supervisors: W.J. Kowalczyk (LIACS), E.M.L. Dusseldorp (FSW)

L. Verkerk, 29-6-2018 Forecasting Infectious Disease Epidemics Supervisors: J. Wallinga & H. Putter

C.H. Chen, 23-4-2018 ELO Rating System for UEFA Women's Euro 2017 Supervisors: J.N. Kok (LIACS), W.J. Heiser

Y. He, 23-11-2017 Assessment of time-dependent discriminative ability Supervisors: N. van Geloven (LUMC), H. Putter (LUMC), M. Fiocco

M. Volkert, 19-10-2017 Confidence Bound Algorithms in Game Trees Supervisors: W.M. Koolen, T.A.L. van Erven

F. Katsiki, 28-9-2017 Regularizations of category quantifications in NLPCA Supervisors: J. Meulman & A. van der Kooij

D.I.R. Douma, 31-08-2017 The Penalized Composite Link Mixed Model Supervisors: J. van de Kassteele & H. Putter

I. Zavrakidis, 04-07-2017 Combining multiple imputation with cross-validation for calibration and assessment of Cox prognostic survival models Supervisors: B. Mertens & L. de Wreede

B. Gu, 31-05-2017 A Kalman Filter Model with Sparse Matrices in Spatial-Temporal Prediction Supervisor: T.A. van Erven

J.M.M.S. van de Put, 12-05-2017 A Comparison of Tree Ensemble Methods - Can we see the perfect tree in the forest? Supervisors: E.M.L. Dusseldorp & M. Bouts

F. Rodenburg, 30-04-2017 A comparison of methods for the construction of conditional independence networks Supervisor: B.J.A. Mertens

T. Bakker, 11-04-2017 A varying coefficient graded response model Supervisor: H. Kelderman

J. ter Schure, 31-03-2017 Modeling Schrödingers Cat - An investigation into the intermittent-error model Supervisors: S. Scholtus & P. Grunwald

L. Xinzhu, 31-01-2017 Case study: labour market reactions to GDP developments Supervisor: S. Gugushvili

Master theses before January 1, 2017 can be found in the list of  Master theses Mathematics .

• Colleges & Degrees
• Academic Calendar
• International Education
• Graduate Studies
• Accreditation
• Tuition and Fees
• Parking & Maps
• Careers with CSULB
• Alumni Home
• Alumni Volunteering
• Alumni Giving

Campus Life

• Centers & Organizations
• Commencement
• Student Life
• Office of the President
• Office of the Provost
• Administration & Finance
• Student Affairs
• University Relations & Development
• Information Technology
• Beach Shops
• Campus Directory
• Enrollment Services
• Financial Aid
• Schedule of Classes
• Student Records
• 49er Foundation
• Research Foundation

1250 BELLFLOWER BOULEVARD LONG BEACH, CALIFORNIA 90840 562.985.4111

B.S. in Mathematics, 2024-2025 Catalog

Four Year Degree Worksheet for: B.S. in Mathematics - CSULB Catalog (2024-2025)

This degree worksheet is intended to help you develop a balanced course schedule while completing your degree within 4 years. The same sequence of courses (with fewer courses each semester) is also recommended for students completing their degree in 5 or 6 years. The listed schedule of courses is a sample path to the degree and one of several possible ways of completing the degree requirements.

This worksheet is not intended to replace academic advising with your assigned advisor. Students should consult with their assigned advisor to determine the appropriate sequence of required courses and electives based on their academic goals.

CSULB Enrollment Services prepares the Academic Requirements Report, which is the official graduation verification.

Major-Specific Degree Requirements

Major-Specific Degree Requirements are listed as an " MSDR " in the notes column. These courses must be completed in order to declare your major. All students must have a GPA of 2.5 or higher in the STEM MSDR suite. For more information, please see: Major-Specific Degree Requirements for CSULB Students .

Pre-Mathematics first-time freshmen must complete MATH 122 and MATH 123 with a cumulative GPA of 2.5 or higher.

Additional Notes

Students should take the Graduate Writing Assessment Requirement Placement Examination (GPE) after Year 1.

Year 1 - Semester 1

Year 1 - Semester 2

Year 2 - Semester 3

Year 2 - Semester 4

Year 3 - Semester 5

Year 3 - Semester 6

Year 4 - Semester 7

Year 4 - Semester 8

You're viewing this site as a domestic an international student

You're a domestic student if you are:

• a citizen of Australia or New Zealand,
• an Australian permanent resident, or
• a holder of an Australian permanent humanitarian visa.

You're an international student if you are:

• intending to study on a student visa,
• not a citizen of Australia or New Zealand,
• not an Australian permanent resident, or
• a temporary resident (visa status) of Australia.

Science Communication

Learn to interpret the rapid advances in science and mathematics and engage general and non-expert audiences with impact.

Discover how to communicate complex issues such as energy conservation, waste disposal, pesticide risk, or novel, emerging technologies.

Practise strategies that educate and influence effective decision making by the public.

Build a communication toolkit using critical thinking, reading, verbal and writing skills.

Develop, deliver, and evaluate your own science communication strategy with a local community audience. 

Use your elective courses to focus on strategic communication or journalism.

Be challenged by award-winning communication and journalism researchers during interactive lectures, tutorials and workshops.

Practice your collaboration and interpersonal communication with science and non-science students.

Science communicators work in research institutions, universities, government, the private sector, the media, education, cultural institutions, medical charities and the arts.

Employment for science and maths communicators is continuing to grow as organisations prioritise communicating their research to raise awareness, public support and funding.

Also available in:

Bachelor of

Advanced Science (Honours)

Biotechnology.

1 in Queensland for mathematics

QS World University Rankings 2024

Career possibilities

Our programs prepare you for your first job and beyond. Here are some of the careers you could be on your way to:

• Technical writer
• Editorial writer
• Education officer
• Content creator
• Environmental and science communicator

Graduate salary

Science and mathematics (undergraduate)

compared.edu.au

Next steps after graduation

When you graduate, you'll be in high demand by employers for your advanced technical, communication, independent thinking and problem-solving skills.

Depending on your major, you'll have the pick of a broad range of career possibilities in areas, including but not limited to:

• academia and research
• environment
• hospitals and health
• marine preservation
• secondary school teaching (with further study)
• environmental planning and site assessment
• operations research and logistics

Find out more about careers that started in science

The problem-solving skills I developed during my mathematics degree have been so widely applicable to the range of projects I have worked on in my undergraduate research and in my role as a Data Analyst Consultant.

Mathematics is a broad field of study, and I enjoy being exposed to its many sub-fields and being able to work out mathematical solutions with my classmates to problems I've grappled with for hours or days.

3 July - 5 July

Junior Physics Odyssey

13 July - 14 July

UQ Open Day

What's it really like to study mathematics at UQ?

10-minute read

Making the greatest mathematical discoveries

3-minute read

Meet the expert: exploring mathematics with Dr Sara Davies

2-minute read

How you'll learn

Your learning experiences are designed to best suit the learning outcomes of the courses you choose.

What you'll study

At UQ, subjects are called 'courses'. Here's a sample of the courses you could study:

• Journalistic Narratives
• Public Relations Writing
• Media Strategies

See courses and program structure

Keep up to date

Sign up to get information about applying and studying at UQ.

We will use your information to keep you informed about UQ programs, news, events and scholarships. By submitting this form, you consent to the terms of UQ's Marketing consent and privacy notice .

• Global navigation
• Site navigation

IU South Bend Bulletin 2024-2025

• About IU South Bend
• Degrees Offered
• General Education
• Academic Schools
• Online Programs
• Graduate Programs
• Course Descriptions
• IU South Bend Home
• Collaborative Online Degree Programs

IU Resources

• Indiana University Web Site
• Administration
• Equal Opportunity/ Affirmative Action Policies

Previous IU South Bend Campus Bulletins

Students are ordinarily subject to the curricular requirements outlined in the Bulletin in effect at the start of their current degree. See below for links to previous Bulletins (bulletins prior to 2013-2014 are in PDF format only).

Online Only

If you are seeking further information regarding specific programs, please contact individual departments .

For problems accessing information on this website, please contact Teresa Sheppard .

Bachelor of Science in Data Science

Collaborative online degree.

This 100 percent online, consortial program is taught by IU South Bend , IU East, IUPUI, IU Kokomo, IU Northwest, and IU Southeast. This consortial model allows you to take coursework from several campuses and learn from a wide range of faculty.

This program is authorized, exempt, or not subject to state regulatory compliance and may enroll students from all 50 states.

Many online support services are available to assist you as you progress through the program.

In the Information Age, enormous amounts of data are generated every day in a range of areas, including social media, search engines, insurance companies, healthcare organizations, hospitals, defense, and retail. Data science is now a rapidly growing, high-paying field.

As a student in the IU Online Bachelor of Science (BS) in Data Science, you collect, organize, and analyze data to make meaningful conclusions. You write programs to perform data analysis on large, complex datasets. You evaluate the social, legal, and ethical issues that arise from the mass collection of data.

• Data acquisition and storage
• Data exploration and curation
• Data modeling and analysis
• Data visualization and presentation
• Data ethics and governance

Admissions requirements vary by campus.

Degree Requirements (120 cr.)

Students receiving the Bachelor of Science in Data Science must complete 120 total credit hours including:

• IU South Bend Campuswide General Education Curriculum (33 cr.)
• Data Science Core  (30 cr.)

Computer Science (11 cr.)

Mathematics (9 cr.), statistics (9 cr.), professional communication (6 cr.).

• Free Electives (balance of credits needed to equal 120 credit requirement)
• A minimum of 33 credit hours at the 300– or 400–level
• Core Requirements must be completed with a grade of C or higher; cannot be used to satisfy the requirements for another major or minor)
• A minimum CGPA of 2.0 is required
• All courses are 3 credits, unless otherwise noted.

Data Science Core (30 cr.)

• CSCI-C 442 Database Systems
• CSCI-N 317 Computation for Scientiic Applications
• INFO-I 308 Information Representation
• INFO-I 416 Cloud Computing for Data Science
• INFO-I 421 Applications of Data Mining
• INFO-I 453 Computer and Information Ethics
• INFO-I 491 Capstone Project Internship;  OR INFO-I 492 Senior Thesis
• NEWM-N 328 Visualizing Information
• PBHL-B 352 Fundamentals of Data Management in R
• CSCI-A 204 Introduction to Programming (4 cr.) Taught using Python
• CSCI-A 205 Computer Programming (4 cr.) Taught using Python
• CSCI-A 310 Data Structures  Taught using Python
• MATH-M 220 Calculus for Data Science I
• MATH-M 230 Calculus for Data Science II
• MATH-M 301 Linear Algebra and Applications; OR MATH-M 303 Linear Algebra for Undergraduates
• CSCI-C 337 Introductory Statistical Analysis with R; OR PBHL-B 304 Biostatistics for Health Data Scientists: A Computational Approach
• PBHL-B 275 Probability Without Tears and Without Calculus
• PBHL-B 384 Classical Biostatistical REgression Methods (R-Based)

Select one from the following:

• CMCL-C 122 Interpersonal Communication 
• COMM-C 180 Introduction to Interpersonal Communication  
• COMM-C 223 Business and Professional Communication 
• SPCH-S 122 Interpersonal Communication  
• SPCH-S 223 Business and Professional Communication 
• ENG-W 230 Writing in the Sciences
• ENG-W 231 Professional Writing Skills 
• ENG-W 233 Intermediate Expository Writing
• ENG-W 234 Technical Report Writing 
• ENG-W 270 Argumentative Writing b

Academic Bulletins

• Indiana University
• IU Bloomington

PDF Version

Copyright © 2024 The Trustees of Indiana University , Copyright Complaints

Navigation Menu

Search code, repositories, users, issues, pull requests..., provide feedback.

We read every piece of feedback, and take your input very seriously.

Saved searches

Use saved searches to filter your results more quickly.

To see all available qualifiers, see our documentation .

• Notifications You must be signed in to change notification settings

卒業論文執筆のためのHRTF補間コード

ribe26/bachelor_thesis

Folders and files.

Repository files navigation

卒業論文執筆のために作成したコード, 各ソースコードについて.

・optimize_biquad_filter.m

HRTFの概形をearlyHRTFによってとらえ、これの低周波側から一つ目のピーク,２つめのノッチ、３つ目ノッチについて、それぞれの形を再現した双二次フィルタを作成するコード 双二次フィルタのパラメータは/numsに保存する。

・classificate_pk.m

ピークやノッチに適応した双二次フィルタのパラメータ(中心周波数、ゲイン、バンド幅)を、仰角についての関数として表現するためのコード。 この関数の係数は/parametersに保存される。

・convoice_parametricHRTF

上記二つのコードを用いて得た関数を用いて任意の仰角のHRTFを推定し、これによって移動音源を合成するコード。 合成した音源は/soundsに保存される。

・plot_parametricHRTF

最初の二つのコードで推定したHRTFと実測HRTFをプロットするコード 図は/graphに保存される

・convoice_linearHRTF

HRTFを線形補間し、移動音源を合成するコード。 合成した音源は/soundsに保存される

・plot_linearHRTF

線形補間したHRTFと補間に用いた実測HRTFをプロットするコード

真正面から真後ろまで(仰角0°~180°)10°刻みで存在する実測HRTFを補間して移動音源を合成するコードです。 補間手法は2種類あります。

HRTFを大まかなピークやノッチごとに分解して、これらを仰角についての関数として表現することで、任意の角度のHRTFを得られるようにする手法 音の到来方向の近くにおいては低い周波数から数えて、1つ目のピークと1つ目のノッチ、2つ目のノッチが重要だとされていることに基づいています。 フローは以下のようになっています。

1:HRTFを概形で近似

2:概形において、低い周波数から一つ目のピーク(P1)と１，２，３つ目のノッチ(N1,N2,N3)それぞれを近似した双二次フィルタを得る また、この双二次フィルタは(ゲイン，バンド幅、中心周波数)の３つのパラメータで表現される。

3:0°～180°の仰角で2を行い、これらの仰角それぞれについて3つのパラメータを得る。

4:それぞれのパラメータを仰角についての関数として10次関数で近似する

• MATLAB 71.1%
• Fortran 20.4%
• Mathematica 0.8%
• Makefile 0.3%

• Directories

Search form

You are here.

• Autumn 2024

MATH 700 A: Master's Thesis

•   News Feed
•   Alumni Update
•   Mailing List