### Theses/Dissertations from 2023

Extreme Covering Systems, Primes Plus Squarefrees, and Lattice Points Close to a Helix, Jack Robert Dalton

On the Algebraic and Geometric Multiplicity of Zero as a Hypergraph Eigenvalue, Grant Ian Fickes

Widely Digitally Delicate Brier Primes and Irreducibility Results for Some Classes of Polynomials, Thomas David Luckner

Deep Learning Methods for Some Problems in Scientific Computing, Yuankai Teng

### Theses/Dissertations from 2022

Covering Systems and the Minimum Modulus Problem, Maria Claire Cummings

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

Structure Preserving Reduced-Order Models of Hamiltonian Systems, Megan Alice McKay

Tangled up in Tanglegrams, Drew Joseph Scalzo

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

Poset Ramsey Numbers for Boolean Lattices, Joshua Cain Thompson

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

### Theses/Dissertations from 2021

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

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

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

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

Trimming Complexes, Keller VandeBogert

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

### Theses/Dissertations from 2020

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

Finite Axiomatisability in Nilpotent Varieties, Joshua Thomas Grice

Rationality Questions and the Derived Category, Alicia Lamarche

Counting Number Fields by Discriminant, Harsh Mehta

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

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

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

Windows and Generalized Drinfeld Kernels, Robert R. Vandermolen

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

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

### Theses/Dissertations from 2019

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

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

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

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

Finding Resolutions of Mononomial Ideals, Hannah Melissa Kimbrell

Regression for Pooled Testing Data with Biomedical Applications, Juexin Lin

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

An Implementation of the Kapustin-Li Formula, Jessica Otis

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

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

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

On The Generators of Quantum Dynamical Semigroups, Alexander Wiedemann

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

Dynamical Entropy of Quantum Random Walks, Duncan Wright

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

### Theses/Dissertations from 2018

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

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

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

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

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

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

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

Graph Homomorphisms and Vector Colorings, Michael Robert Levet

Local Rings and Golod Homomorphisms, Thomas Schnibben

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

### Theses/Dissertations from 2017

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

Subdivision of Measures of Squares, Dylan Bates

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

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

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

Nonequispaced Fast Fourier Transform, David Hughey

Deep Learning: An Exposition, Ryan Kingery

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

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

### Theses/Dissertations from 2016

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

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

Binary Quartic Forms over Fp, Daniel Thomas Kamenetsky

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

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

Chebyshev Inversion of the Radon Transform, Jared Cameron Szi

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

### Theses/Dissertations from 2015

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

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

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

Avoiding Doubled Words in Strings of Symbols, Michael Lane

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

Toward the Combinatorial Limit Theory of free Words, Danny Rorabaugh

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

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

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

### Theses/Dissertations from 2014

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

Explorations in Elementary and Analytic Number Theory, Scott Michael Dunn

Independence Polynomials, Gregory Matthew Ferrin

Turán Problems on Non-uniform Hypergraphs, Jeremy Travis Johnston

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

Fake Real Quadratic Orders, Richard Michael Oh

### Theses/Dissertations from 2013

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

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

Deducing Vertex Weights From Empirical Occupation Times, David Collins

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

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

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

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

The Weierstrass Approximation Theorem, LaRita Barnwell Hipp

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

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

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

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

### Theses/Dissertations from 2012

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

Mathematical Modeling and Computational Studies for Cell Signaling, Kanadpriya Basu