Dissertations from 2024
Some New Properties of Random Groups in the Density and Few-Relator Models, Anastasiia Chorna
Sigma_n-correct Forcing Axioms, Benjamin P. Goodman
On Deformation Rings of Residual Galois Representations with Three Jordan–Hölder Factors, Xiaoyu Huang
Bifurcations and Resultants for Rational Maps and Dynatomic Modular Curves in Positive Characteristic, Colette LaPointe
Twisted Alexander Polynomials and Ptolemy Varieties of Knots and Surface Bundles, Michael R. Marinelli
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
Categorical Chain Conditions for Étale Groupoid Algebras, Sunil Philip
Limit Theorems for L-functions in Analytic Number Theory, Asher Roberts
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 R2, 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