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Dissertations from 2024

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Diving Deeper into Supercuspidal Representations, Prerna Agarwal

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Higher Order Operator Splitting Schemes with Complex Coefficients and Applications, Arun Banjara

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The Modular Generalized Springer Correspondence for the Symplectic Group, Joseph Dorta

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Modeling and Numerical Analysis of the Cholesteric Landau-de Gennes Model, Andrew L. Hicks

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Asymptotic Formula for Scattering Problems Related to Thin Metasurfaces, Zachary Jermain

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Finite Monodromy and Artin Representations, Emma Lien

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The Lowest Discriminant Ideal of Cayley-Hamilton Hopf Algebras, Zhongkai Mi

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Subroups of Coxeter Groups and Stallings Foldings, Jake A. Murphy

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Unavoidable Topological Minors of Large or Infinite 3-connected Rooted Graphs, Phuc A. Nguyen

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Analytic Wavefront Sets of Spherical Distributions on the De Sitter Space, Iswarya Sitiraju

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Auslander-Reiten Triangles on a Bounded Derived Category of Constructible Complexes, Vishnu Prasad Sivaprasad

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Reducibility of Schrödinger Operators on Multilayer Graphs, Jorge Villalobos Alvarado

Dissertations from 2023

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Analytic Continuation of Toeplitz Operators and Commuting Families of C*-Algebras, Khalid Bdarneh

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Matroid Generalizations of Some Graph Results, Cameron Crenshaw

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Finite Element Methods for Elliptic Optimal Control Problems with General Tracking, SeongHee Jeong

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Some New Techniques and their Applications in the Theory of Distributions, Kevin Kellinsky-Gonzalez

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SL(2,Z) Representations and 2-Semiregular Modular Categories, Samuel Nathan Wilson

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First-Order Algorithms for Nonlinear Structured Optimization, Miao Zhang

Dissertations from 2022

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Unavoidable Structures in Large and Infinite Graphs, Sarah Allred

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Connected Sums and Directed Systems in Knot Floer Homologies, Sudipta Ghosh

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A Cluster Structure on the Coordinate Ring of Partial Flag Varieties, Fayadh Kadhem

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Navier-Stokes equations in one and two dimensions, Jon Nerdal

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Bloch Spectra for High Contrast Elastic Media, Jayasinghage Ruchira Nirmali Perera

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A New Perspective on a Polynomial Time Knot Polynomial, Robert John Quarles

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General Stochastic Calculus and Applications, Pujan Shrestha

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Characterizations of Certain Classes of Graphs and Matroids, Jagdeep Singh

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Anticipating Stochastic Integrals and Related Linear Stochastic Differential Equations, Sudip Sinha

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On a Relation Between ADO and Links-Gould Invariants, Nurdin Takenov

Dissertations from 2021

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Applications of Nonstandard Analysis in Probability and Measure Theory, Irfan Alam

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A Conjecture on the Irregularity Function for Local Geometric Langlands Parameters and the Formal Frenkel-Gross Connection, Andrew Alaniz

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Rigid Connections on the Projective Line with Elliptic Toral Singularities, Alisina Azhang

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Study of Parity Sheaves Arising from Graded Lie Algebras, Tamanna Chatterjee

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Accelerated Gradient Descent Methods For the Uniaxially Constrained Landau-de Gennes Model, Edison E. Chukwuemeka

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Connectivity of Matroids and Polymatroids, Zachary R. Gershkoff

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Stochastic Navier-Stokes Equations with Markov Switching, Po-Han Hsu

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An Equivalence Between Contact Gluing Maps in Sutured Floer Homology: A Conjecture of Zarev, Charles Ryan Leigon

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On Properties of Weil Sums of Binomials, Liem P. Nguyen

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Nonlinear Potential Analysis on Sobolev Multiplier Spaces, Keng Hao Ooi

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Congruences Between Coefficients of a Class of Eta-Quotients and their Applications to Combinatorics, Shashika Petta Mestrige

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Algorithms Related to Triangle Groups, Bao The Pham

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Noncommutative Tensor Triangular Geometry and Its Applications to Representation Theory, Kent Barton Vashaw

Dissertations from 2020

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Some Results on Seymour’s Second-Neighborhood Conjecture and on Decompositions of Graphs, Farid Bouya

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Combinatorial and Asymptotic Statistical Properties of Partitions and Unimodal Sequences, Walter McFarland Bridges

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On Selected Subclasses of Matroids, Tara Elizabeth Fife

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Multigrid Methods for Elliptic Optimal Control Problems, Sijing Liu

Dissertations from 2019

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Design of Metamaterials for Optics, Abiti Adili

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Dehn Functions of Bestvina-Brady Groups, Yu-Chan Chang

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Reflection Positivity: A Quantum Field Theory Connection, Joseph W. Grenier

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Equivalence of Contact Gluing Maps in Sutured Floer Homology, Federico Salmoiraghi

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Quantum Cluster Algebras at Roots of Unity, Poisson-Lie Groups, and Discriminants, Kurt Malcolm Trampel III

Dissertations from 2018

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Unavoidable Immersions and Intertwines of Graphs, Matthew Christopher Barnes

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Two Results in Drawing Graphs on Surfaces, Joshua E. Fallon

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Templates for Representable Matroids, Kevin Manuel Grace

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Dimers on Cylinders over Dynkin Diagrams and Cluster Algebras, Maitreyee Chandramohan Kulkarni

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Invariant of Noncommutative Algebras and Poisson Geometry, Bach Van Nguyen

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Non-local Methods in Fracture Dynamics, Eyad Said

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Curve Tracking Control Under State Constraints and Uncertainties, Robert Kelly Sizemore

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Mixed Categories of Sheaves on Toric Varieties, Sean Michael Taylor

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On Structures of Large Rooted Graphs, Shilin Wang

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Spectra of Quantum Trees and Orthogonal Polynomials, Zhaoxia Wang

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Backstepping and Sequential Predictors for Control Systems, Jerome Avery Weston

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The Graphs and Matroids Whose Only Odd Circuits Are Small, Kristen Nicole Wetzler

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Mathematics Course for Elementary Teachers in an Alternate Certification Pathway, Rachael Cramer Williams

Dissertations from 2017

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On Braids, Branched Covers and Transverse Invariants, Jose Hector Ceniceros

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Characterizations of Some Classes of Graphs That Are Nearly Series-Parallel, Victoria Fontaine

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Asymptotic Formulae for Restricted Unimodal Sequences, Richard Alexander Frnka

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On the Skein Theory of 0-framed Surgery Along the Trefoil Knot, Andrew Robert Holmes

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Manifestations of Symmetry in Polynomial Link Invariants, Kyle Istvan

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Moduli Spaces of Flat GSp-Bundles, Neal David Livesay

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Electromagnetic Resonant Scattering in Layered Media with Fabrication Errors, Emily Anne McHenry

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Extraction of Displacement Fields in Heterogeneous Media Using Optimal Local Basis Functions, Paul Derek Sinz

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Reduced Order Models for Beam-Wave Interaction in High Power Microwave Sources, Lokendra Singh Thakur

Dissertations from 2016

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Dynamic Resonant Scattering of Near-Monochromatic Fields, Gayan Shanaka Abeynanda

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Global a priori Estimates and Sharp Existence Results for Quasilinear Equations on Nonsmooth Domains., Karthik Adimurthi

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Option Volatility & Arbitrage Opportunities, Mikael Boffetti

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A Conditioned Gaussian-Poisson Model for Default Phenomena, Tyler Brannan

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Cluster Algebras and Maximal Green Sequences for Closed Surfaces, Eric Bucher

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Excluding a Weakly 4-connected Minor, Kimberly Sevin D'souza

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Method of the Riemann-Hilbert Problem for the Solution of the Helmholtz Equation in a Semi-infinite Strip, Ashar Ghulam

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Twisted Reflection Positivity, Mostafa Ahmad Hayajneh

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Properties of Polynomial Identity Quantized Weyl Algebras, Jesse S. F. Levitt

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Derived Geometric Satake Equivalence, Springer Correspondence, and Small Representations, Jacob Paul Matherne

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Fractal Shapes Generated by Iterated Function Systems, Mary Catherine McKinley

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Beyond the Tails of the Colored Jones Polynomial, Jun Peng

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On Properties of Matroid Connectivity, Simon Pfeil

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Towards Theory and Applications of Generalized Categories to Areas of Type Theory and Categorical Logic, Lucius Traylor Schoenbaum

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Evolution Semigroups for Well-Posed, Non-Autonomous Evolution Families, Austin Keith Scirratt

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Riemann-Hilbert Formalism in the Study of Crack Propagation in Domains with a Boundary, Aleksandr Smirnov

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Spectral Properties of Photonic Crystals: Bloch Waves and Band Gaps, Robert Paul Viator Jr

Theses from 2015

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Exploring Rational Numbers in Middle School, Robyn Jasmin Boudoin

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Shape Optimization for Drag Minimization Using the Navier-Stokes Equation, Chukwudi Paul Chukwudozie

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Partial Cosine-Funk Transforms at Poles of the Cosine-λ Transform on Grassmann Manifolds, Christopher Adam Cross

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Wavelets, Coorbit Theory, and Projective Representations, Amer Hasan Darweesh

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A Study of Mathematical Equivalence: The Importance of the Equal Sign, Christy De'sha Duncan

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Excluding Two Minors of the Petersen Graph, Adam Beau Ferguson

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Analysis of Nonlinear Dispersive Model Equations, Jacob Grey

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Knots, Skein Theory and q-Series, Mustafa Hajij

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Left-orderability, Cyclic Branched Covers and Representations of the Knot Group, Ying Hu

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Well-Quasi-Ordering by the Induced-Minor Relation, Chanun Lewchalermvongs

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Topological Dynamics On Compact Phase Spaces, Lieth Abdalateef Majed