Dissertations from 2024
Diving Deeper into Supercuspidal Representations, Prerna Agarwal
Higher Order Operator Splitting Schemes with Complex Coefficients and Applications, Arun Banjara
The Modular Generalized Springer Correspondence for the Symplectic Group, Joseph Dorta
Modeling and Numerical Analysis of the Cholesteric Landau-de Gennes Model, Andrew L. Hicks
Asymptotic Formula for Scattering Problems Related to Thin Metasurfaces, Zachary Jermain
Coloring Trivalent Graphs: A Defect TFT Approach, Amit Kumar
Finite Monodromy and Artin Representations, Emma Lien
The Lowest Discriminant Ideal of Cayley-Hamilton Hopf Algebras, Zhongkai Mi
Subroups of Coxeter Groups and Stallings Foldings, Jake A. Murphy
Unavoidable Topological Minors of Large or Infinite 3-connected Rooted Graphs, Phuc A. Nguyen
Analytic Wavefront Sets of Spherical Distributions on the De Sitter Space, Iswarya Sitiraju
Auslander-Reiten Triangles on a Bounded Derived Category of Constructible Complexes, Vishnu Prasad Sivaprasad
CP Decomposition Initialization Schemes for Speeding-Up of Convolutional Neural Networks, Mollee M. Swift
Reducibility of Schrödinger Operators on Multilayer Graphs, Jorge Villalobos Alvarado
Dissertations from 2023
Analytic Continuation of Toeplitz Operators and Commuting Families of C*-Algebras, Khalid Bdarneh
Matroid Generalizations of Some Graph Results, Cameron Crenshaw
Finite Element Methods for Elliptic Optimal Control Problems with General Tracking, SeongHee Jeong
Some New Techniques and their Applications in the Theory of Distributions, Kevin Kellinsky-Gonzalez
SL(2,Z) Representations and 2-Semiregular Modular Categories, Samuel Nathan Wilson
First-Order Algorithms for Nonlinear Structured Optimization, Miao Zhang
Dissertations from 2022
Unavoidable Structures in Large and Infinite Graphs, Sarah Allred
Connected Sums and Directed Systems in Knot Floer Homologies, Sudipta Ghosh
A Cluster Structure on the Coordinate Ring of Partial Flag Varieties, Fayadh Kadhem
Navier-Stokes equations in one and two dimensions, Jon Nerdal
Bloch Spectra for High Contrast Elastic Media, Jayasinghage Ruchira Nirmali Perera
A New Perspective on a Polynomial Time Knot Polynomial, Robert John Quarles
General Stochastic Calculus and Applications, Pujan Shrestha
Characterizations of Certain Classes of Graphs and Matroids, Jagdeep Singh
Anticipating Stochastic Integrals and Related Linear Stochastic Differential Equations, Sudip Sinha
On a Relation Between ADO and Links-Gould Invariants, Nurdin Takenov
Dissertations from 2021
Applications of Nonstandard Analysis in Probability and Measure Theory, Irfan Alam
A Conjecture on the Irregularity Function for Local Geometric Langlands Parameters and the Formal Frenkel-Gross Connection, Andrew Alaniz
Rigid Connections on the Projective Line with Elliptic Toral Singularities, Alisina Azhang
Study of Parity Sheaves Arising from Graded Lie Algebras, Tamanna Chatterjee
Accelerated Gradient Descent Methods For the Uniaxially Constrained Landau-de Gennes Model, Edison E. Chukwuemeka
Connectivity of Matroids and Polymatroids, Zachary R. Gershkoff
Stochastic Navier-Stokes Equations with Markov Switching, Po-Han Hsu
An Equivalence Between Contact Gluing Maps in Sutured Floer Homology: A Conjecture of Zarev, Charles Ryan Leigon
On Properties of Weil Sums of Binomials, Liem P. Nguyen
Nonlinear Potential Analysis on Sobolev Multiplier Spaces, Keng Hao Ooi
Congruences Between Coefficients of a Class of Eta-Quotients and their Applications to Combinatorics, Shashika Petta Mestrige
Algorithms Related to Triangle Groups, Bao The Pham
Noncommutative Tensor Triangular Geometry and Its Applications to Representation Theory, Kent Barton Vashaw
Dissertations from 2020
Some Results on Seymour’s Second-Neighborhood Conjecture and on Decompositions of Graphs, Farid Bouya
Combinatorial and Asymptotic Statistical Properties of Partitions and Unimodal Sequences, Walter McFarland Bridges
On Selected Subclasses of Matroids, Tara Elizabeth Fife
Multigrid Methods for Elliptic Optimal Control Problems, Sijing Liu
Dissertations from 2019
Design of Metamaterials for Optics, Abiti Adili
Dehn Functions of Bestvina-Brady Groups, Yu-Chan Chang
Reflection Positivity: A Quantum Field Theory Connection, Joseph W. Grenier
Equivalence of Contact Gluing Maps in Sutured Floer Homology, Federico Salmoiraghi
Quantum Cluster Algebras at Roots of Unity, Poisson-Lie Groups, and Discriminants, Kurt Malcolm Trampel III
Dissertations from 2018
Unavoidable Immersions and Intertwines of Graphs, Matthew Christopher Barnes
Two Results in Drawing Graphs on Surfaces, Joshua E. Fallon
Templates for Representable Matroids, Kevin Manuel Grace
Dimers on Cylinders over Dynkin Diagrams and Cluster Algebras, Maitreyee Chandramohan Kulkarni
Invariant of Noncommutative Algebras and Poisson Geometry, Bach Van Nguyen
Non-local Methods in Fracture Dynamics, Eyad Said
Curve Tracking Control Under State Constraints and Uncertainties, Robert Kelly Sizemore
Mixed Categories of Sheaves on Toric Varieties, Sean Michael Taylor
On Structures of Large Rooted Graphs, Shilin Wang
Spectra of Quantum Trees and Orthogonal Polynomials, Zhaoxia Wang
Backstepping and Sequential Predictors for Control Systems, Jerome Avery Weston
The Graphs and Matroids Whose Only Odd Circuits Are Small, Kristen Nicole Wetzler
Mathematics Course for Elementary Teachers in an Alternate Certification Pathway, Rachael Cramer Williams
Dissertations from 2017
On Braids, Branched Covers and Transverse Invariants, Jose Hector Ceniceros
Characterizations of Some Classes of Graphs That Are Nearly Series-Parallel, Victoria Fontaine
Asymptotic Formulae for Restricted Unimodal Sequences, Richard Alexander Frnka
On the Skein Theory of 0-framed Surgery Along the Trefoil Knot, Andrew Robert Holmes
Manifestations of Symmetry in Polynomial Link Invariants, Kyle Istvan
Moduli Spaces of Flat GSp-Bundles, Neal David Livesay
Electromagnetic Resonant Scattering in Layered Media with Fabrication Errors, Emily Anne McHenry
Extraction of Displacement Fields in Heterogeneous Media Using Optimal Local Basis Functions, Paul Derek Sinz
Reduced Order Models for Beam-Wave Interaction in High Power Microwave Sources, Lokendra Singh Thakur
Dissertations from 2016
Dynamic Resonant Scattering of Near-Monochromatic Fields, Gayan Shanaka Abeynanda
Global a priori Estimates and Sharp Existence Results for Quasilinear Equations on Nonsmooth Domains., Karthik Adimurthi
Option Volatility & Arbitrage Opportunities, Mikael Boffetti
A Conditioned Gaussian-Poisson Model for Default Phenomena, Tyler Brannan
Cluster Algebras and Maximal Green Sequences for Closed Surfaces, Eric Bucher
Excluding a Weakly 4-connected Minor, Kimberly Sevin D'souza
Method of the Riemann-Hilbert Problem for the Solution of the Helmholtz Equation in a Semi-infinite Strip, Ashar Ghulam
Twisted Reflection Positivity, Mostafa Ahmad Hayajneh
Properties of Polynomial Identity Quantized Weyl Algebras, Jesse S. F. Levitt
Derived Geometric Satake Equivalence, Springer Correspondence, and Small Representations, Jacob Paul Matherne
Fractal Shapes Generated by Iterated Function Systems, Mary Catherine McKinley
Beyond the Tails of the Colored Jones Polynomial, Jun Peng
On Properties of Matroid Connectivity, Simon Pfeil
Towards Theory and Applications of Generalized Categories to Areas of Type Theory and Categorical Logic, Lucius Traylor Schoenbaum
Evolution Semigroups for Well-Posed, Non-Autonomous Evolution Families, Austin Keith Scirratt
Riemann-Hilbert Formalism in the Study of Crack Propagation in Domains with a Boundary, Aleksandr Smirnov
Spectral Properties of Photonic Crystals: Bloch Waves and Band Gaps, Robert Paul Viator Jr
Theses from 2015
Exploring Rational Numbers in Middle School, Robyn Jasmin Boudoin
Shape Optimization for Drag Minimization Using the Navier-Stokes Equation, Chukwudi Paul Chukwudozie
Partial Cosine-Funk Transforms at Poles of the Cosine-λ Transform on Grassmann Manifolds, Christopher Adam Cross
Wavelets, Coorbit Theory, and Projective Representations, Amer Hasan Darweesh
A Study of Mathematical Equivalence: The Importance of the Equal Sign, Christy De'sha Duncan
Excluding Two Minors of the Petersen Graph, Adam Beau Ferguson
Analysis of Nonlinear Dispersive Model Equations, Jacob Grey
Knots, Skein Theory and q-Series, Mustafa Hajij
Left-orderability, Cyclic Branched Covers and Representations of the Knot Group, Ying Hu