#### Theses/Dissertations from 2023

A Survey of Graph Neural Networks on Synthetic Data, Brigham Stone Carson

Network Representation Theory in Materials Science and Global Value Chain Analysis, Mats C. Haneberg

Skew Relative Hadamard Difference Set Groups, Andrew Haviland

The Topology and Dynamics of Surface Diffeomorphisms and Solenoid Embeddings, Xueming Hui

Community Detection via Persistent Homology Surfaces, Abigail Jenkins

Unsupervised Categorical Clustering on Labor Markets, Matthew James Steffen

Bézout Domains and Elementary Divisor Domains: Are They the Same?, Michael D. Walton

#### Theses/Dissertations from 2022

Stabilizing Controlled Systems in the Presence of Time-Delays, Isaac Becker Pardo

Complete Equitable Decompositions, Joseph Paul Drapeau

An Iterative Numerical Method for Multiple Scattering Using High Order Local Absorbing Boundary Conditions, Jonathan Harriman Hale

Wildfire Modeling with Data Assimilation, Andrew Johnston

Using Connections to Make Predictions on Dynamic Networks, Rebecca Dorff Jones

Zeros of a Family of Complex-Valued Harmonic Rational Functions, Alexander Lee

Statistical Properties of 2D Navier-Stokes Equations Driven by Quasi-Periodic Force and Degenerate Noise, Rongchang Liu

Data Assimilation and Parameter Recovery for Rayleigh-Bénard Convection, Jacob William Murri

Gradient Conditioning in Deep Neural Networks, Michael Vernon Nelson

Mirror Symmetry for Some Non-Abelian Groups, Kyle John Niendorf

On Continuity of Multiplication in the Fundamental Group, Eric Steadman

Network Specialization: A Topological Mechanism for the Emergence of Cluster Synchronization, Ethan Walker

Vector-Valued Mock Theta Functions, Clayton Williams

#### Theses/Dissertations from 2021

Totally p-adic Numbers of Degree 4, Melissa Janet Ault

Terwilliger Algebras for Several Finite Groups, Nicholas Lee Bastian

3-adic Properties of Hecke Traces of Singular Moduli, Miriam Beazer

Modeling a Human Family Network, Rebecca Jo Flores

Invariant Lattices of Several Elliptic K3 Surfaces, Joshua Joseph Fullwood

Petal Diagrams and Seifert Surfaces, Jason Robert Gardiner

The Non-Backtracking Spectrum of a Graph and Non-Bactracking PageRank, Cory Glover

Exploring Improvements to the Convergence of Reconstructing Historical Destructive Earthquakes, Kameron Lightheart

Multilattice Tilings and Coverings, Joshua Randall Linnell

Dynamics of Systems Driven by an External Force, Xue Liu

Fourier Decompositions of Graphs with Symmetries and Equitable Partitions, Darren Scott Lund

Computing the Rank of Braids, Justin Meiners

Weak Cayley Table Groups of Crystallographic Groups, Rebeca Ann Paulsen

Pentagonal Extensions of the Rationals Ramified at a Single Prime, Pablo Miguel Rodriguez

Mean Square Displacement for a Discrete Centroid Model of Cell Motion and a Mathematical Analysis of Focal Adhesion Lifetimes and Their Effect on Cell Motility, Mary Ellen Furner Rosen

Zeros of a Family of Complex Harmonic Polynomials, Samantha Sandberg

Zeros of a Two-Parameter Family of Harmonic Trinomials, David Work

Minimizer of A Free Boundary Problem, Mingyan Zhao

#### Theses/Dissertations from 2020

Stability of MHD Shock Waves, Bryn Nicole Barker

Topologically Mixing Suspension Flows, Jason J. Day

Applications of Mathematical Optimization Methods to Digital Communications and Signal Processing, Spencer Giddens

High Order Numerical Methods for Problems in Wave Scattering, Dane Scott Grundvig

Divisors of Modular Parameterizations of Elliptic Curves, Jonathan Reid Hales

Ambiguous Student Contributions and Teacher Responses to Clarifiable Ambiguity in Secondary Mathematics Classrooms, Alicia Marie Heninger

Congruences for Coefficients of Modular Functions in Levels 3, 5, and 7 with Poles at 0, Ryan Austin Keck

Secondary Mathematics Teachers' Mindsets, Emily Ann Hales Kunz

Optimal Learning Rates for Neural Networks, Tyler Moncur

Bounds on Heat Transfer in the Presence of Ekman Pumping, Benjamin Alexander Pachev

Growing Complex Networks for Better Learning of Chaotic Dynamical Systems, David Joseph Passey Jr.

Eigenvalues of Differential Operators and Nontrivial Zeros of L-functions, Dongsheng Wu

Chaotic Model Prediction with Machine Learning, Yajing Zhao

#### Theses/Dissertations from 2019

A Matched Payout Model for Investment, Consumption, and Insurance with a Risky Annuity Income, Joseph Allen Adams

Almost Homeomorphisms and Inscrutability, Michael Steven Andersen

The Application of Synthetic Signals for ECG Beat Classification, Elliot Morgan Brown

Coordinated Persistent Homology and an Application to Seismology, Nickolas Brenten Callor

Schur Rings over Infinite Groups, Cache Porter Dexter

Sequential Survival Analysis with Deep Learning, Seth William Glazier

Extensions of the Power Group Enumeration Theorem, Shawn Jeffrey Green

Hyperparameters for Dense Neural Networks, Christopher James Hettinger

An Equivalence of Shape and Deck Groups; Further Classification of Sharkovskii Groups, Tyler Willes Hills

Locations of Real Zeros of Newforms of Higher Levels, Hankun Ko

Regular Fibrations over the Hawaiian Earring, Stewart Mason McGinnis

Exponential Stability of Intrinsically Stable Dynamical Networks and Switched Networks with Time-Varying Time Delays, David Patrick Reber

Mirror Symmetry for Non-Abelian Landau-Ginzburg Models, Matthew Michael Williams

#### Theses/Dissertations from 2018

Subtraction Games: Range and Strict Periodicity, Bryce Emerson Blackham

Mirror Symmetry for K3 Surfaces with Non-symplectic Automorphism, Christopher James Bott

Model Predictive Linear Control with Successive Linearization, Jesse Robert Friedbaum

Model Predictive Linear Control with Successive Linearization, Jesse Robert Friedbaum

A New Family of Topological Invariants, Nicholas Guy Larsen

Data Assimilation in the Boussinesq Approximation for Mantle Convection, Shane Alexander McQuarrie

The Arithmetic of Modular Grids, Grant Steven Molnar

Congruences for Fourier Coefficients of Modular Functions of Levels 2 and 4, Eric Brandon Moss

Clean Indices of Common Rings, Benjamin L. Schoonmaker

Adding Limit Points to Bass-Serre Graphs of Groups, Alexander Jin Shumway

Network Specializations, Symmetries, and Spectral Properties, Dallas C. Smith

Finding Torsion-free Groups Which Do Not Have the Unique Product Property, Lindsay Jennae Soelberg

Euclidean Domains, Vandy Jade Tombs

Dynamics for a Random Differential Equation: Invariant Manifolds, Foliations, and Smooth Conjugacy Between Center Manifolds, Junyilang Zhao

#### Theses/Dissertations from 2017

Spaces of Weakly Holomorphic Modular Forms in Level 52, Daniel Meade Adams

It Is Better to Be Upside Than Sharpe!, Daniele DApuzzo

Stability of Planar Detonations in the Reactive Navier-Stokes Equations, Joshua W. Lytle

Busemann G-Spaces, CAT(*k*) Curvature, and the Disjoint (0, *n*)-Cells Property, Clarke Alexander Safsten

Weakly Holomorphic Modular Forms in Level 64, Christopher William Vander Wilt

#### Theses/Dissertations from 2016

Construction and Isomorphism of Landau-Ginzburg B-Model Frobenius Algebras, Matthew Robert Brown

Isomorphisms of Landau-Ginzburg B-Models, Nathan James Cordner

Machine Learning for Disease Prediction, Abraham Jacob Frandsen

American Spread Option Pricing with Stochastic Interest Rate, An Jiang

Periodic Points and Surfaces Given by Trace Maps, Kevin Gregory Johnston

Existence of a Periodic Brake Orbit in the Fully SymmetricPlanar Four Body Problem, Ammon Si-yuen Lam

Steady State Configurations of Cells Connected by Cadherin Sites, Jared Adam McBride

Some Spectral Properties of a Quantum Field Theoretic Hamiltonian, Devin Burnell McGhie

Weak Cayley Table Groups of Wallpaper Groups, Rebeca Ann Paulsen

Weakly Holomorphic Modular Forms in Prime Power Levels of Genus Zero, David Joshua Thornton

Schur Rings Over Projective Special Linear Groups, David R. Wagner

Modeling Individual Health Care Utilization, Matthew Aaron Webb

#### Theses/Dissertations from 2015

Octahedral Extensions and Proofs of Two Conjectures of Wong, Kevin Ronald Childers

Compression Bodies and Their Boundary Hyperbolic Structures, Vinh Xuan Dang

A Mathematical Model of Amoeboid Cell Motion as a Continuous-Time Markov Process, Lynnae Despain

Evaluation and Refinement of Generalized B-splines, Ian Daniel Henriksen

The Solenoid and Warsawanoid Are Sharkovskii Spaces, Tyler Willes Hills