Senior Theses | Department of Mathematics

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.

Year	Student	Thesis Title	Advisor
2010	Alex Kruckman	The Ax-Kochen Theorem: An Application of Model Theory to Algebra	Dan Abramovich/Michael Rosen
2010	Thomas Lawler	On the Local Structure of Triangulation Graphs	Richard Schwartz
2011	Andrew Furnas	Mathematical Modeling of Woven Fabric	Govind Menon
2011	Eric Sporkin	Modifying the BLS Signature Scheme Using Isogenies	Reinier Broker
2011	Tyler K. Woodruff	Discrepancy Upper Bounds for Certain Families of Rotated Squares	Jill Pipher
2012	Nadejda Drenska	Representation of Periodic Data with Fourier Methods and Wavelets	Jill Pipher
2012	Zev Chonoles	Hermite's Theorem for Function Fields	Michael Rosen
2013	Kevin Casto	The Desargues-Hilbert Billiard	Richard Schwartz/Govind Menon
2013	In-Jee Jeong	Outer Billiards with Contraction	Richward Schwartz
2013	Benjamin LeVeque	Approaches to Homomorphic Encryption Using Polynomial Rings and the Chinese Remainder Theorem	Jeffrey Hoffstein
2013	Lucas Mason-Brown	Applications of the Frobenius Theorem	Michael Rosen
2013	Yilong Yang	Stable Billiard Paths on Polygons	Richard Schwartz
2014	Nicholas Lourie	The Tripod Configurations of Curves and Surfaces	Richard Schwartz
2014	Michael Thaler	Extending Conway's Tiling Groups to a Triangular Lattice with Three Deformations	Richard Schwartz
2015	Justin Semonsen	Factorization of Birational Maps	Dan Abramovich
2015	Kamron Vachiraprasith	On the Average Order of Arithmetic Functions Over Monic Square-Free Polynomials in Finite Fields	Michael Rosen
2015	Francis White	Invariant Subspace Theorems in Infinite-Dimensional Analysis	Sergei Treil
2015	Zijian Yao	Arakelov Theory on Arithmetic Surfaces	Stephen Lichtenbaum
2016	Claire Frechette	Dessin D'Enfants and Equivalent Sets	Melody Chan
2018	Collin Cademartori	Stability and Symmetry in Energy Minimizing Point Configurations	Govind Menon
2018	Michael Mueller	Calculating Cobordism Rings	Thomas Goodwillie
2018	Lewis Silletto	A Parameterization of Convex Projective Groups	Richard Schwartz
2020	Jongyung Lee	Differential Operators and Algorithmic Weighted Resolution	Dan Abramovich
2020	Owen Lynch	Open Systems for the Working Mathematician	Yuri Sulyma
2021	Alexander Bauman	Section Problems for Graph Configuration Spaces	Bena Tshishiku
2021	Matei P. Coiculescu	Some New Results in Geometric Analysis	Richard Schwartz
2021	Henry Talbott	Disjointness of Linear Fractional Transformations on Serre Trees	Richard Schwartz
2021	Nathan Zelesko	Chip-firing Using M-Bases	Melody Chan
2022	Griffin Edwards	Untitled Undergraduate Honors Thesis	Yuri Sulyma
2022	Dichuan David Gao	Functorial Casual Models	Justin Holmer
2022	Jasper Liu	Cryptography based on Finite Field Isomorphisms	Jeffrey Hoffstein
2024	Alex Feiner	Infinitely wildly ramified arboreal representations for postcritically finite polynomials with potential good reduction	Joseph Silveman
2024	Mattie Ji	Some Morse Theoretic Results on Definable Functions	Richard Schwartz
2024	Tyler Lane	Dereived Equivalences Between Torors Under Abelian Varieties	Brendan Hassett
2024	Smita Rajan	The Gelfand-MacPherson Correspondence and Torus Orbit Closures in Grassmannians	Brendan Hassett
2025	Yongxi Lin	Hardy Space and Hartogs Triangle	Nathan Wagner