#### Dissertations from 2024

Sigma_n-correct Forcing Axioms, Benjamin P. Goodman

Bifurcations and Resultants for Rational Maps and Dynatomic Modular Curves in Positive Characteristic, Colette LaPointe

Higher Diffeology Theory, Emilio Minichiello

Explicit Composition Identities for Higher Composition Laws in the Quadratic Case, Ajith A. Nair

Parabolic and Non-Parabolic Surfaces with Small or Large End Spaces via Fenchel-Nielsen Parameters, Michael Antony Pandazis

New Algorithmic Support for the Fundamental Theorem of Algebra, Vitaly Zaderman

#### Dissertations from 2023

Quantifying Separability in Limit Groups, Keino Brown

An Explicit Construction of Sheaves in Context, Tyler A. Bryson

On the Order-Type Complexity of Words, and Greedy Sidon Sets for Linear Forms, Yin Choi Cheng

Fuglede's Conjecture in Some Finite Abelian Groups, Thomas Fallon

A Stronger Strong Schottky Lemma for Euclidean Buildings, Michael E. Ferguson

Soundness and Completeness Results for the Logic of Evidence Aggregation and its Probability Semantics, Eoin Moore

On The Spectrum of Quaquaversal Operators, Josiah Sugarman

On the Second Case of Fermat's Last Theorem over Cyclotomic Fields, Owen Sweeney

Pairings in a Ring Spectrum-Based Bousfield-Kan Spectral Sequence, Jonathan Toledo

#### Dissertations from 2022

Thickened Surfaces, Checkerboard Surfaces, and Quantum Link Invariants, Joseph W. Boninger

Dynamics of Cubic Rational Maps Under Certain Constraints on Critical Points, Arkady Etkin

The Local Lifting Problem for Curves with Quaternion Actions, George Mitchell

The Zariski-Riemann Space as a Universal Model for the Birational Geometry of a Function Field, Giovan Battista Pignatti Morano di Custoza

Asymptotic Classes, Pseudofinite Cardinality and Dimension, Alexander Van Abel

#### Dissertations from 2021

Hierarchical Hyperbolicity of Graph Products and Graph Braid Groups, Daniel James Solomon Berlyne

A Geometric Model for Real and Complex Differential K-theory, Matthew T. Cushman

Differentiability of the Liouville Map via Geodesic Currents, Xinlong Dong

Clifford Harmonics, Samuel L. Hosmer

Representing the Derivative of Trace of Holonomy, Jeffrey Peter Kroll

Some Model Theory of Free Groups, Christopher James Natoli

#### Dissertations from 2020

Symmetric Rigidity for Circle Endomorphisms with Bounded Geometry and Their Dual Maps, John Adamski

On the Divisor Class Group and Special Units of Multiquadratic Real Fields, John E. Basias

At the Interface of Algebra and Statistics, Tai-Danae Bradley

Spectral Sequences for Almost Complex Manifolds, Qian Chen

Quadratic Packing Polynomials on Sectors of R^{2}, Kaare S. Gjaldbaek

Model Theory of Groups and Monoids, Laura M. Lopez Cruz

Matrix Low Rank Approximation at Sublinear Cost, Qi Luan

Growth of Conjugacy Classes of Reciprocal Words in Triangle Groups, Blanca T. Marmolejo

Convexity and Curvature in Hierarchically Hyperbolic Spaces, Jacob Russell-Madonia

Translation Distance and Fibered 3-Manifolds, Alexander J. Stas

Alternative Cichoń Diagrams and Forcing Axioms Compatible with CH, Corey B. Switzer

Arithmetic of Binary Cubic Forms, Gennady Yassiyevich

Uniform Lipschitz Continuity of the Isoperimetric Profile of Compact Surfaces Under Normalized Ricci Flow, Yizhong Zheng

#### Dissertations from 2019

Zeta Functions of Classical Groups and Class Two Nilpotent Groups, Fikreab Solomon Admasu

One-Dimensional Excited Random Walk with Unboundedly Many Excitations Per Site, Omar Chakhtoun

Modest Automorphisms of Presburger Arithmetic, Simon Heller

Geometric Properties of Closed Three Manifolds and Hyperbolic Links, Alice Kwon

Dynamics of the Family lambda tan z^2, Santanu Nandi

On the Complexity of Computing Galois Groups of Differential Equations, Mengxiao Sun

A Differential Algebra Approach to Commuting Polynomial Vector Fields and to Parameter Identifiability in ODE Models, Peter Thompson

Hermitian Maass Lift for General Level, An Hoa Vu

#### Dissertations from 2018

Galois Groups of Differential Equations and Representing Algebraic Sets, Eli Amzallag

Studying the Space of Almost Complex Structures on a Manifold Using de Rham Homotopy Theory, Bora Ferlengez

The Advection-Diffusion Equation and the Enhanced Dissipation Effect for Flows Generated by Hamiltonians, Michael Kumaresan

Geometry and Analysis of some Euler-Arnold Equations, Jae Min Lee

Divergence of CAT(0) Cube Complexes and Coxeter Groups, Ivan Levcovitz

The Distribution of Totally Positive Integers in Totally Real Number Fields, Tianyi Mao

On Some Geometry of Graphs, Zachary S. McGuirk

Coincidence of Bargaining Solutions and Rationalizability in Epistemic Games, Todd Stambaugh

Infinitely Many Solutions to Asymmetric, Polyharmonic Dirichlet Problems, Edger Sterjo

Linear Progress with Exponential Decay in Weakly Hyperbolic Groups, Matthew H. Sunderland

The Structure of Models of Second-order Set Theories, Kameryn J. Williams

#### Dissertations from 2017

Interstructure Lattices and Types of Peano Arithmetic, Athar Abdul-Quader

Manifold Convergence: Sewing Sequences of Riemannian Manifolds with Positive or Nonnegative Scalar Curvature, Jorge E. Basilio

Some Metric Properties of the Teichmüller Space of a Closed Set in the Riemann Sphere, Nishan Chatterjee

Intercusp Geodesics and Cusp Shapes of Fully Augmented Links, Rochy Flint

Counting Rational Points, Integral Points, Fields, and Hypersurfaces, Joseph Gunther

Elimination for Systems of Algebraic Differential Equations, Richard Gustavson

Joint Laver Diamonds and Grounded Forcing Axioms, Miha Habič

Turaev Surfaces and Toroidally Alternating Knots, Seungwon Kim

A Partial Nonlinear Extension of Lax-Richtmyer Approximation Theory, Aradhana Kumari

Some Results in Combinatorial Number Theory, Karl Levy

On Subcomplete Forcing, Kaethe B. Minden

Asymptotic Counting Formulas for Markoff-Hurwitz Tuples, Ryan Ronan

Diophantine Approximation and The Atypical Numbers of Nathanson and O'Bryant, David Seff

Rewriting Methods in Groups with Applications to Cryptography, Gabriel Zapata

Fast Algorithms on Random Matrices and Structured Matrices, Liang Zhao

#### Dissertations from 2016

Explicit Reciprocity Laws for Higher Local Fields, Jorge Florez

On Sums of Binary Hermitian Forms, Cihan Karabulut

On The Free and G-Saturated Weight Monoids of Smooth Affine Spherical Varieties For G=SL(n), Won Geun Kim

p-adic L-functions and the Geometry of Hida Families, Joseph Kramer-Miller

On the Derivative of 2-Holonomy for a Non-Abelian Gerbe, Cheyne J. Miller

A Geometric Model of Twisted Differential K-theory, Byung Do Park

Quaternion Algebras and Hyperbolic 3-Manifolds, Joseph Quinn

Cayley Graphs of Semigroups and Applications to Hashing, Bianca Sosnovski

An Averaging Method for Advection-Diffusion Equations, Nicholas Spizzirri

Cohomology of Certain Polyhedral Product Spaces, Elizabeth A. Vidaurre

Explicit Formulae and Trace Formulae, Tian An Wong

Stochastic Processes And Their Applications To Change Point Detection Problems, Heng Yang

#### Dissertations from 2015

The Geometry and Combinatorics of Closed Geodesics on Hyperbolic Surfaces, Chris Arettines

Counting Restricted Integer Partitions, David Dakota Blair

Some applications of noncommutative groups and semigroups to information security, Lisa Bromberg

Force to change large cardinal strength, Erin Kathryn Carmody

Algorithmic properties of poly-Z groups and secret sharing using non-commutative groups, Bren Cavallo

Massey Products in String Topology, Aron Fischer

The holomorphic couch theorem, Maxime Fortier Bourque

On Polynomial Roots Approximation Via Dominant Eigenspaces And Isolation Of Real Roots, Omar Ivan Retamoso Urbano

On String Topology Operations and Algebraic Structures on Hochschild Complexes, Manuel Rivera

Explicit Solutions of Imaginary Quadratic Norm Equations, Sandra Sze

Equations over hyperbolic groups, Alexander Kai-Chi Taam

The Moduli Space of Rational Maps, Lloyd William West

New Results on Randomized Matrix Computations, Jesse Lowell Wolf

Some Bernstein Type Results of Graphical Self-Shrinkers with High Codimension in Euclidean Space, Hengyu Zhou