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Theses/Dissertations from 2022

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Covering Systems and the Minimum Modulus Problem, Maria Claire Cummings

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The Existence and Quantum Approximation of Optimal Pure State Ensembles, Ryan Thomas McGaha

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Tangled up in Tanglegrams, Drew Joseph Scalzo

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Results on Select Combinatorial Problems With an Extremal Nature, Stephen Smith

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Some Properties and Applications of Spaces of Modular Forms With ETA-Multiplier, Cuyler Daniel Warnock

Theses/Dissertations from 2021

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Simulation of Pituitary Organogenesis in Two Dimensions, Chace E. Covington

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Polynomials, Primes and the PTE Problem, Joseph C. Foster

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Widely Digitally Stable Numbers and Irreducibility Criteria For Polynomials With Prime Values, Jacob Juillerat

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A Numerical Investigation of Fractional Models for Viscoelastic Materials With Applications on Concrete Subjected to Extreme Temperatures, Murray Macnamara

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Trimming Complexes, Keller VandeBogert

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Multiple Frailty Model for Spatially Correlated Interval-Censored, Wanfang Zhang

Theses/Dissertations from 2020

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An Equivariant Count of Nodal Orbits in an Invariant Pencil of Conics, Candace Bethea

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Finite Axiomatisability in Nilpotent Varieties, Joshua Thomas Grice

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Rationality Questions and the Derived Category, Alicia Lamarche

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Counting Number Fields by Discriminant, Harsh Mehta

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Distance Related Graph Invariants in Triangulations and Quadrangulations of the Sphere, Trevor Vincent Olsen

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Diameter of 3-Colorable Graphs and Some Remarks on the Midrange Crossing Constant, Inne Singgih

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Two Inquiries Related to the Digits of Prime Numbers, Jeremiah T. Southwick

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Windows and Generalized Drinfeld Kernels, Robert R. Vandermolen

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Connections Between Extremal Combinatorics, Probabilistic Methods, Ricci Curvature of Graphs, and Linear Algebra, Zhiyu Wang

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An Ensemble-Based Projection Method and Its Numerical Investigation, Shuai Yuan

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Variable-Order Fractional Partial Differential Equations: Analysis, Approximation and Inverse Problem, Xiangcheng Zheng

Theses/Dissertations from 2019

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Classification of Non-Singular Cubic Surfaces up to e-invariants, Mohammed Alabbood

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On the Characteristic Polynomial of a Hypergraph, Gregory J. Clark

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A Development of Transfer Entropy in Continuous-Time, Christopher David Edgar

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Moving Off Collections and Their Applications, in Particular to Function Spaces, Aaron Fowlkes

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Finding Resolutions of Mononomial Ideals, Hannah Melissa Kimbrell

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Regression for Pooled Testing Data with Biomedical Applications, Juexin Lin

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Numerical Methods for a Class of Reaction-Diffusion Equations With Free Boundaries, Shuang Liu

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An Implementation of the Kapustin-Li Formula, Jessica Otis

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A Nonlinear Parallel Model for Reversible Polymer Solutions in Steady and Oscillating Shear Flow, Erik Tracey Palmer

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A Few Problems on the Steiner Distance and Crossing Number of Graphs, Josiah Reiswig

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Successful Pressing Sequences in Simple Pseudo-Graphs, Hays Wimsatt Whitlatch

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On The Generators of Quantum Dynamical Semigroups, Alexander Wiedemann

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An Examination of Kinetic Monte Carlo Methods with Application to a Model of Epitaxial Growth, Dylana Ashton Wilhelm

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Dynamical Entropy of Quantum Random Walks, Duncan Wright

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Unconditionally Energy Stable Linear Schemes for a Two-Phase Diffuse Interface Model with Peng-Robinson Equation of State, Chenfei Zhang

Theses/Dissertations from 2018

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Theory, Computation, and Modeling of Cancerous Systems, Sameed Ahmed

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Turán Problems and Spectral Theory on Hypergraphs and Tensors, Shuliang Bai

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Quick Trips: On the Oriented Diameter of Graphs, Garner Paul Cochran

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Geometry of Derived Categories on Noncommutative Projective Schemes, Blake Alexander Farman

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A Quest for Positive Definite Matrices over Finite Fields, Erin Patricia Hanna

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Comparison of the Performance of Simple Linear Regression and Quantile Regression with Non-Normal Data: A Simulation Study, Marjorie Howard

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Special Fiber Rings of Certain Height Four Gorenstein Ideals, Jaree Hudson

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Graph Homomorphisms and Vector Colorings, Michael Robert Levet

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Local Rings and Golod Homomorphisms, Thomas Schnibben

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States and the Numerical Range in the Regular Algebra, James Patrick Sweeney

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Thermodynamically Consistent Hydrodynamic Phase Field Models and Numerical Approximation for Multi-Component Compressible Viscous Fluid Mixtures, Xueping Zhao

Theses/Dissertations from 2017

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On the Existence of Non-Free Totally Reflexive Modules, J. Cameron Atkins

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Subdivision of Measures of Squares, Dylan Bates

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Unconditionally Energy Stable Numerical Schemes for Hydrodynamics Coupled Fluids Systems, Alexander Yuryevich Brylev

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Convergence and Rate of Convergence of Approximate Greedy-Type Algorithms, Anton Dereventsov

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Covering Subsets of the Integers and a Result on Digits of Fibonacci Numbers, Wilson Andrew Harvey

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Nonequispaced Fast Fourier Transform, David Hughey

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Deep Learning: An Exposition, Ryan Kingery

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A Family of Simple Codimension Two Singularities with Infinite Cohen-Macaulay Representation Type, Tyler Lewis

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Polynomials Of Small Mahler Measure With no Newman Multiples, Spencer Victoria Saunders

Theses/Dissertations from 2016

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On Crown-free Set Families, Diffusion State Difference, and Non-uniform Hypergraphs, Edward Lawrence Boehnlein

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Structure of the Stable Marriage and Stable Roommate Problems and Applications, Joe Hidakatsu

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Binary Quartic Forms over Fp, Daniel Thomas Kamenetsky

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On a Constant Associated with the Prouhet-Tarry-Escott Problem, Maria E. Markovich

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Some Extremal And Structural Problems In Graph Theory, Taylor Mitchell Short

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Chebyshev Inversion of the Radon Transform, Jared Cameron Szi

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Modeling of Structural Relaxation By A Variable-Order Fractional Differential Equation, Su Yang

Theses/Dissertations from 2015

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Modeling, Simulation, and Applications of Fractional Partial Differential Equations, Wilson Cheung

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Modeling, Simulation, and Applications of Fractional Partial Differential Equations, Wilson Cheung

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The Packing Chromatic Number of Random d-regular Graphs, Ann Wells Clifton

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Commutator Studies in Pursuit of Finite Basis Results, Nathan E. Faulkner

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Avoiding Doubled Words in Strings of Symbols, Michael Lane

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A Survey of the Kinetic Monte Carlo Algorithm as Applied to a Multicellular System, Michael Richard Laughlin

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Toward the Combinatorial Limit Theory of free Words, Danny Rorabaugh

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Trees, Partitions, and Other Combinatorial Structures, Heather Christina Smith

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Fast Methods for Variable-Coefficient Peridynamic and Non-Local Diffusion Models, Che Wang

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Modeling and Computations of Cellular Dynamics Using Complex-fluid Models, Jia Zhao

Theses/Dissertations from 2014

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The Non-Existence of a Covering System with all Moduli Distinct, Large and Square-Free, Melissa Kate Bechard

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Explorations in Elementary and Analytic Number Theory, Scott Michael Dunn

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Independence Polynomials, Gregory Matthew Ferrin

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Turán Problems on Non-uniform Hypergraphs, Jeremy Travis Johnston

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On the Group of Transvections of ADE-Diagrams, Marvin Jones

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Fake Real Quadratic Orders, Richard Michael Oh

Theses/Dissertations from 2013

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Shimura Images of A Family of Half-Integral Weight Modular Forms, Kenneth Allan Brown

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Sharp Bounds Associated With An Irreducibility Theorem For Polynomials Having Non-Negative Coefficients, Morgan Cole

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Deducing Vertex Weights From Empirical Occupation Times, David Collins

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Analysis and Processing of Irregularly Distributed Point Clouds, Kamala Hunt Diefenthaler

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Generalizations of Sperner's Theorem: Packing Posets, Families Forbidding Posets, and Supersaturation, Andrew Philip Dove

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Spectral Analysis of Randomly Generated Networks With Prescribed Degree Sequences, Clifford Davis Gaddy

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Selected Research In Covering Systems of the Integers and the Factorization of Polynomials, Joshua Harrington

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The Weierstrass Approximation Theorem, LaRita Barnwell Hipp

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The Compact Implicit Integration Factor Scheme For the Solution of Allen-Cahn Equations, Meshack K. Kiplagat

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Applications of the Lopsided Lovász Local Lemma Regarding Hypergraphs, Austin Tyler Mohr

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Study On Covolume-Upwind Finite Volume Approximations For Linear Parabolic Partial Differential Equations, Rosalia Tatano

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Coloring Pythagorean Triples and a Problem Concerning Cyclotomic Polynomials, Daniel White

Theses/Dissertations from 2012

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A Computational Approach to the Quillen-Suslin Theorem, Buchsbaum-Eisenbud Matrices, and Generic Hilbert-Burch Matrices, Jonathan Brett Barwick

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Mathematical Modeling and Computational Studies for Cell Signaling, Kanadpriya Basu

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Fast Solution Methods For Fractional Diffusion Equations and Their Applications, Treena Basu

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Greedy Algorithm and M-Term Trigonometric Approximation: A Survey, Grace Elizabeth Brown

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Phase-Field Model For Heterogeneous Biofilm-Solvent Interaction and 3-D Numerical Simulation by GPUs, Chen Chen

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A Fast Preconditioner For Helmholtz Equation, XIAODI DENG

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Spectra of Hypergraphs, Aaron Michael Dutle

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Irreducibility Criteria For Polynomials With Non-Negative Integer Coefficients, and the Prime Factorization of F(N) For F(X) In Z[X], Samuel S. Gross