The following PhD theses abstracts are available in .pdf format. To see where these students have taken jobs, see the list of recent graduates.

• 2024
• On Pattern Avoidance and Dynamical Algebraic Combinatorics - Ben Adenbaum
• On Generating Bijections for Permutations and Inversion Sequences - Melanie Ferreri
• Exploring Group Behavior through Evolutionary Game Theory: Disease Dynamics, Cooperation, and Reputation - Alina Glaubitz
• Advances in Computational and Statistical Inverse Problems - Dylan Green
• Methods, Analyses, and Applications of Multilayer Temporal Link Prediction in Networks - Xie He
• Penney’s Game for Permutations - Yixin Lin
• Khovanov Homology and Legendrian Simple Knots - Ryan Maguire
• $f$-Continuous Operators on $B(L^2M)$ and the Families Index - Kameron McCombs
• 2023
• Jones Polynomial Obstructions for Positivity of Knots - Lizzie Buchanan
• Triangular Modular Curves of Low Genus and Geometric Quadratic Chabauty - Juanita Duque-Rosero
• Brill-Noether theory via K3 Surfaces - Richard Haburcak
• Counting Elliptic Curves with a Cyclic m-isogeny over $\mathbb{Q}$ - Grant Molnar
• A Diagram-like Basis for the Multiset Partition Algebra - Alexander Wilson
• 2022
• On the Thom Isomorphism for Groupoid-Equivariant Representable K-theory - Zachary Garvey
• Evolutionary Dynamics of Collective Action Problems - Matthew Jones
• On Grid Homology for Lens Space Links - Samuel Tripp
• Spectral sequences and Khovanov homology - Zachary Winkeler
• Sequential Image Recovery from Noisy and Under-sampled Fourier Data - Yao Xiao
• 2021
• Evolutionary Dynamics of Human Cooperation Across Scales: Dyads, Networks, and Populations - Xingru Chen
• Mathematical modeling of the human circadian rhythms through wearable devices - Yitong Huang
• Bordered Floer homology over $\mathbb Z$ - Douglas Knowles
• Optimization, Statistical Inverse Problems, and Sampling - Laura Petto
• New Techniques in Optimal Transport - James Ronan
• 2020
• Pattern Avoidance in Inversion Sequences - Juan S. Auli
• The 2-Selmer Group of a Number Field - Ben Breen
• Synthetic Aperture Radar Image Formation with Uncertainty Quantification - Victor Churchill
• Applications of Probabilistic Combinatorics to Markov Chains, Redistricting, and Permuations - Chris Coscia
• Morita Equivalence of Graph and Ultragraph Leavitt Path Algebras - Michael Firrisa
• Evolutionary Kuramoto Dynamics - Elizabeth Tripp
• 2019
• On the Arithmetic of Tiled Orders - Angelica Babei
• Orders in Quaternion and Central Simple Algebras - Sara Chari
• Combinatorial Proofs to Linear Algebraic Indenties - Melanie Dennis
• 2-group Belyi Maps - Michael Musty
• On Algebras of Low Rank and Belyi Maps - Samuel Schiavone
• 2018
• Matched Products and Dynamical Models for Multiplex Networks - Daryl DeFord
• Intersections of Virtual Multistrings - David Freund
• Exploring Multiplexity with Evolutionary Game Theory and Complex Networks - Tommy Khoo
• Patterns in Time Series and Dynamical Systems - Katherine Moore
• Permutations: descents, cycles, and patterns - Justin Troyka
• 2017
• c-Wilf equivalences of permutations - Tim Dwyer
• On-Line Algorithms and Reverse Mathematics - Seth Harris
• Linear Chord Diagrams with Long Chords - Everett Sullivan
• 2016
• On the Poisson Relation for Lens Spaces - Dan Cianci
• Dynamics of Magnetic Flows on Nilmanifolds - Jonathan Epstein
• Orthogonal Modular Forms - Jeffrey Hein
  (An application to a Conjecture of Birch, Algorithms and Computations)
• Uniform Avoidance Coupling, Design of Anonymity Systems and Matching Theory - Ewa Infeld
• Finite-type invariants of order one for framed and long virtual knots - Nicolas Petit
• 2015
• Results on Minimizing Closed Geodesics - Ian Adelstein
• Equivalences on Patterns in Random Walks - Megan Martinez
• Multiplicative Problems in Combinatorial Number Theory - Nathan McNew
• A function-field analogue of Conway's topograph - Michael Wijaya
• Generalized Fourier Transforms and their Applicatons - Sarah Wolff
• Boundary integral methods and their applications - Lin Zhao
• 2014
• Permutations Realized by Signed Shifts - Kassie Archer
• Pattern Avoiding Permutations and Rook Placements - Jonathan Bloom
• $C^*$-algebras associated to directed graphs - Danny W. Crytser
• The Arithmetic of Cyclic Subgroups - Zebediah E. Engberg
• $K$-Theory for Twisted Groupoid $C^*$-Algebras - Elizabeth A. Gillapsy
• Bijective Combinatorics of Reduced Decompositions - Zachary R. Hamaker
• Aligned Hierarchies for Sequential Data - Katherine M. Kinnaird
• Nuclearity and Exactness for Groupoid Crossed Product $C^*$-algebras - Scott M. Lalonde
• Refocussing and Virtual Legendarian Knots - Asa Levi
• 2013
• Elliptic Curves from a statistical point of view - Avram Gottschlich
• Capture Time in Variants of Cops & Robbers Games - Natasha Komarov
• 2012
• Algebras Counting Self-Intersections of Curves - Patricia Cahn
• Selectivity in central simple algebras and isospectrality - Ben Linowitz
• Products of distinct cyclotomic polynomials - Lola Thompson
• 2011
• Firefighting on Geometric Graphs - Amir Barghi
• Coloring Posets and Reverse Mathematics - Jared Corduan
• Roto-Translation Space and the Visual Cortex - Gregory C. Petrics
• A Mallows Model for Coxeter Groups and Buildings - Paige E. Rinker
• The Bloch spectrum of a quantum graph - Ralf Rueckriemen
• Numerically explicit estimates for character sums - Enrique Treviño
• 2010
• On the Importance of Phase in Improving Detection of Shared Genomic Segments - G. Genovese
• Refocusing of Null-Geodesics in Lorentz Manifolds - Paul Kinlaw
• On the Density of Abundant Numbers - Mitsuo Kobayashi
• A Metric for Homotopy Types - Nick Scoville
• Aperiodicity in Topological k-Graphs - Sarah Wright
• 2009
• Proper Actions of Groupoids on $C^*$-algebras - J. Brown
• Groupoid Crossed Products - G. Goehle
• A Composition Formula for Asymptotic Morphisms - M. Mahoney
• 2008
• Distinguishing Complete Sets with Respect to Strong Notions of Reducibility - B. Andersen
• Carmichael's Conjecture and the Unit Group Function - J. Bayless
• Results on Off-branch Numbers - J. Bourke
• A Sequence of Degree One Vassiliev Invariants for Virtual Knots - A. Henrich
• Fast Fourier Transforms for Inverse Semigroups - M. Malandro
• Prime Polynomials Over Finite Fields - P. Pollack