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