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Theses/Dissertations from 2026

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The interaction between additive and multiplicative structures in arithmetic settings, Ali Alsetri

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Local Energy Decay for Non-stationary Damped Wave Operators, Nicholas DJ Arsenault

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Inverse Problems for the Radiative Transport Equation in Local and Non-Convex Geometries, Faith E. Hensley

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Extensions between modules defined by lattice paths in the preprojective algebra, Chloe Napier

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On Stripping and Antipodes in Motivic Steenrod Algebras, Joshua A. Peterson

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Combinatorial Models for Nonnegativity in Flag Varieties, Williem L. Rizer

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A Character Theory for Loop Representations of Symmetric Monoidal Bicategories, Jordan Sawdy

Theses/Dissertations from 2025

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Blow-Ups and Projectivized Toric Vector Bundles, Sara Church

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Long-Time Asymptotics for the Kadomtsev–Petviashvili I Equation with Small Initial Data, Samir Donmazov

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Regularized Methods for Tensor Recovery and Processing, Katherine J. Henneberger

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The Computational Algebra of Conformal Blocks, Casey B. Hill

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Two Network Flow Problems: Volume Inequalities for Flow Polytopes of Full Directed Acyclic Graphs; Optimal Additions to the Low-Stress Bike Network in Lexington, Kentucky, James F. McElroy

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Novel Generative and Language Model Architectures With Applications, Edison Mucllari

Theses/Dissertations from 2024

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Advancements in Elliptic Mesh Redistribution and Automated Overset Grid Generation for Computational Fluid Dynamics, Chase Ashby

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Adams operations on the Burnside ring from power operations, Lewis Dominguez

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Solid Angle Measure Approximation Methods for Polyhedral Cones, Allison Fitisone

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Pairs of Quadratic Forms over p-Adic Fields, John Hall

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Properties of Skew-Polynomial Rings and Skew-Cyclic Codes, Kathryn Hechtel

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Computational Methods for OI-Modules, Michael Morrow

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Advanced Mathematical Graph-based Machine Learning and Deep Learning Models for Drug Design, Farjana Tasnim Mukta

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SLₖ-Tilings and Paths in ℤᵏ, Zachery T. Peterson

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Dirichlet Problems in Perforated Domains, Robert Righi

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A Multiple-Case Study on the Impact of an Introductory Real Analysis Course on Undergraduate Students' Understanding of Function Continuity, Ryan Joseph Rogers

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Uniform Regularity Estimates for the Stokes System in Perforated Domains, Jamison R. Wallace

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Bicategorical Character Theory, Travis Wheeler