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Recent Theses in Mathematics
Students who write theses in mathematics spend an entire academic year working on an in-depth study with the help and direction of a faculty member. In addition to writing a thesis, each student gives a seminar late in spring semester. The thesis seminar weeks are busy and exciting times around the department.
Copies of student theses are located in the Seeley Mudd library.
- Dvij Bajpai worked with Prof. Dan Velleman on “Topological Predictors and T-Anonymous Predictors in Hat Problems”
- Kush Chandra worked with Prof. Greg Call on “The Elliptic Curve Discrete Logarithm Problem and the Weil Pairing”
- Stephen Hetterich worked with Prof. Rob Benedetto on “The Group of Rational Points on Elliptic Curves”
- Namyi Kang worked with Prof. Tanya Leise on “A Comparison of Mathematical Models of Decision Making Using Eye Tracking Analysis”
- Edward Kim worked with Prof. Amanda Folsom on “An Application of the circle Method in Analytic Number Theory to the Partition Function”
- Sage O’Neil worked with Prof. David Cox on “Group Representations and Applications to Chemistry”
- Darius Onul worked with Prof. Amy Wagaman on “Using Hidden Markov Models to Predict Stock Pricing”
- Lucia Minah Yang worked with Prof. Jacqueline Dresch on “An Investigation of Numerical Methods of Solving Linear Problems (Ax=b)”
- Ruqian Chen worked with Prof. David Cox on “Classification of transitive solvable imprimitive subgroups of symmetric groups of prime squared degrees”
- Alexander W. Diones worked with Prof. James Henle (Smith College) and Prof. Dan Velleman on “Forcing over Partial Models of ZFC: The Independence of the Continuum Hypothesis”
- Shanghui Li worked with Prof. Tanya Leise on “Application of Wavelet Methods in the Analysis of Rhythmic Activity and Coupling Relationships in the Suprachiasmatic Nucleus”
- Yang Xiao worked with Prof. Michael Ching and Prof. Rob Benedetto on “1-2 Quadruples in Self-Similar Unbounded Apollonian Circle Packings”
- Andrew Erskine worked with Prof. David Cox on "Binomial Edge Ideals and the Characterization of Closed Graphs"
- Anya Goldberg worked with Prof. Robert Benedetto on "The Hasse-Minkowski Theorem on Quadratic Forms"
- Taylor Grant-Knight worked with Prof. Daniel Velleman on "Categorizing Computability: A Study of Recursively Enumerable Degrees"
- R. Henry Weaver worked with Prof. Daniel Velleman on "Elusive Points: Topics in Constructive Analysis"
- David (Hao) Zhang worked with Prof. Amy Wagaman on "Compositional Data Analysis"
- Trevor Hyde worked with Prof. David Cox on "Dividing the Lemniscate An interplay of elliptic functions, class field theory, and complex multiplication"
- Brian Kim worked with Prof. Shu-Min Liao and Prof. Daeyoung Kim (UMass) on "Perfect Pitch: An analysis of Pitchers Using Pitch F/X Data"
- Ariah Klages-Mundt worked with Prof. Robert Benedetto and Prof. Paul Gunnells (UMass) on "Computing Elliptic Curves over Complex Cubic Fields"
- Yordanka Kovacheva worked with Prof. Robert Benedetto on "Serre Duality"
- Dang Trinh worked with Prof. Tanya Leise on "Stock Volatilities: Long Memory and Common Factors"
- Adam Humphries worked with Prof. Velleman on "ρ-GAPq-CSP is NP-hard"
- Samuel Smith worked with Prof. R. Benedetto on "Measure-Theoretic Entropy, Topological Entropy, and the Variational Principle"
- Ben Krause worked with Prof. Cox on "Plane Curves and their Singularities"
- Michael Kreisel worked with Prof. Cox of Amherst and Prof. Rob Kusner (UMass) on "A Classification of Euclidean Surfaces with Conical Singularities"
- Sam Schiavone worked with Prof. Leise on "Cloaking and Invisibility By Change Of Variables"
- Andrey T. Tagarev worked with Prof. Leise on "Speech Recognition with Artificial Neural Networks"
- Maya Miller-Vedam worked with Prof. Benedetto on "The Riemann Hypothesis for Curves Over Finite Fields"
- Stephen O. Oloo worked with Prof. Cox on "The Gelfand Representation of Unital Commutative Banach Algebras"
- Benjamin Dickman worked with Prof. Benedetto on "On a Theorem of Dwork"
- Sasha E. Joseph worked with Prof. Benedetto on "Algebraic Number Theory and Density Theorems"
- Jeremy Newton worked with Prof. Tranbarger on "Prototype Patterns of a Poisson Process"
- Gina Turrini worked with Prof. Tranbarger on "Sex and Statistics: A Bootstrap Study Using Multiple Logistic Regressions Modeling and Odds Ratios to Explore Sexual Attitudes and Behaviors in the National Survey of Family Growth"
- Austin Yim worked with Professor Velleman on "Relevance Logic and Relevant Arithmetic"
- Sarah G. Cotter worked with Prof. Velleman and Prof. Jim Henle (Smith College) on "Elementary Embeddings and Left-Distributive Algebras"
- Benjamin Purkis worked with Prof. Cox on "Ergodic Theory and Continued Fractions"
- Tsvetelina V. Petkova worked with Prof. Starr and Prof. Ruth Haas (Smith College) on "Nonisomorphic Graph Colorings"
- Wing L. Mui worked with Prof. Cox on "An Introduction to Polynomial Knots"
- Mathew A. Wechter worked with Prof. Starr on "An Analytic Proff of the Prime Number Theorem"
- Mihailis E. Diamantis worked with Prof. Velleman on "The Independence of the Continuum Hypothesis"
- Andrew K. Gilette worked with Prof. Benedetto on "Searching for Small Canonical Heights: Finding A Minimum Speed Limit On the Road to Infinity"
- Adam M. Lowrance worked with Prof. David Cox on "Solutions of Equations over Finite Fields"
- Paul Reschke worked with Prof. Benedetto on "Rational Periodic and Preperiodic Points of Polynomial Functions"
- Richard P. Laurberg worked with Prof. Call on "A Primer on the Birch-Swinnerton-Dyer Conjecture"
- Michael A. Stevens worked with Prof. Call on "The Ideal Class Pairing on Elliptic Curves"
- Brian Carty worked with Prof. Velleman on "Non-Standard Times Call for Non-Standard Analysis: An Introduction to Infinitesimal Reasoning"
- William E. Gryc worked with Prof. Cox on "Wavelets and Multiresolution Analysis"
- Anushka Krishnachander worked with Prof. Velleman on "An Introduction to Combinatorial Game Theory and the Game of Hackenbush"
- James D. Hunter worked with Prof. Velleman on "On the Structure of the Recursively Enumerable Degrees"
- Thomas B. Wexler worked with Prof. Starr and Prof. Haas (Smith College) on "Some Results on Signed Domination in Graphs"
- David S. Spiegel worked with Prof. Cox on "Symmetries of the Helmholtz Equation"
- Ben Brubaker worked with Prof. Cox on "An Investigation of Singularities of the Evolute"
- Dan Golosovker worked with Prof. Call on "Preperiodic Points of Polynomials in Number Fields"
- Spencer Hamblen worked with Prof. Call on "Calculating the Circle Pairing over Families of Elliptic Points"
- Chris Hardin worked with Prof. Velleman on "Reverse Mathematics and the Mean Value Theorem"
- Raphael Jones worked with Prof. Armacost on "The Frattini Subgroup"
- Chris Hale worked with Prof. Call on "Preperiodic Points of Morphisms over Function Fields"
- Lawrence Snyder worked with Prof. Starr and Prof. Haas (Smith College) on "Combinatorial Rigidity and the Path Decomposition of Isostatic Graphs"
- Michael Stanfield worked with Prof. Cox on "Polynomial Equations and Abstract Algebra"
- William Wasik worked with Prof. Velleman on "The Suslin Problem and Whitehead's Problem are Undecidable"