Theses/Dissertations from 2025
Transcendental Formulas for the Coefficients of Ramanujan's Mock Theta Functions, Gradin Anderson
Approximating Transport Maps Using Minibatch Optimal Transport Plans, Dawson Collins
Exploring Representations and Inductive Bias for Machine Learning Tasks in Knot Theory, Nathaniel Driggs
Topological Homotopy Groups, Tyler Evans
GNN Convergence and Accuracy Analysis on Contextual Stochastic Block Models, Trevor Garrity
Prime Factors of the Third Cyclotomic Polynomial of the Same Form and Inequalities Related to Odd Perfect Numbers, Cody Stenberg Hansen
Improving Efficiency of Wind Flow Modeling for Wildfire Applications Using Analytical Parameterization and Neural Networks, Laura Jane Housley
Power Series Rings over Noncommutative Rings: Symmetry, Reversibility, and Semicommutativity, Nolan Ison
The Conditioning of Reservoir Computing and NG-RC for Forecasting and the Effects of Temporal Overparameterization, Daniel Jensen
Homomorphisms of Peano Continua to Berbered Peano Continua, Logan Kennedy
A New Approach to Stability of Delay Differential Equations with Time-Varying Delays via Isospectral Reduction, Quinlan Leishman
Math 112 at BYU: Student Averages on Various Exam Questions, MaKayla McLeod
A Novel Approach to Detect Shapes of Constant Width, Ian D. Monk
Classification and Analysis of Families of Graphs with Focus on Nordhaus-Gaddum Bounds, Sibi Pranav Muthuprakash
A Novel High-Order Absorbing Boundary Condition for Elastic Multiple Scattering Problems, Jordan Gregory Sheppard
Theses/Dissertations from 2024
Minimal Specialization: The Coevolution of Network Structure and Dynamics, Annika King
A Nordhaus-Gaddum Type Problem for the Normalized Laplacian Spectrum and Graph Cheeger Constant, Adam Widtsoe Knudson
Locating Diversity in Reservoir Computing Using Bayesian Hyperparameter Optimization, Whitney Lunceford
Strong Gelfand Pairs of Some Finite Groups, Joseph E. Marrow
Applying Mathematical Modeling to the Study of Family Systems, Dahlia Maxwell
A Sensitivity Equation Framework for Parameter Estimation in Dynamical Systems, Joshua Newey
Zeros of Convex Combinations of Elementary Families of Harmonic Functions, Rebekah Ottinger
One-Dimensional Cores of Peano Continua, Shogo Starr
An Investigation of the Interactions of Gradient Coherence and Network Pruning in Neural Networks, Zachary Yauney
Theses/Dissertations from 2023
The Target Model for Genealogical Networks, Kolton Baldwin
Hamiltonian Monte Carlo for Reconstructing Historical Earthquake-Induced Tsunamis, Jacob Paul Callahan
A Survey of Graph Neural Networks on Synthetic Data, Brigham Stone Carson
Language Modeling Using Image Representations of Natural Language, Seong Eun Cho
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
Inconsistent Correlation and Momenta: A New Approach to Portfolio Allocation, David Kercher
Introducing Stochastic Time Delays in Gradient Optimization as a Method for Complex Loss Surface Navigation in High-Dimensional Settings, Eric Benson Manner
Rigorous Computation of the Evans Function, Devin McGhie
Reconstructing Historical Earthquake-Induced Tsunamis: Case Study of 1852 Event Using the Adjoint Method Combined with HMC, Chelsey Noorda
Dd Slug Migration: Mathematical Model and Numerical Results, Joy Song
Unsupervised Categorical Clustering on Labor Markets, Matthew James Steffen
Bézout Domains and Elementary Divisor Domains: Are They the Same?, Michael D. Walton
Optimal Ordering to Maximize MEV Arbitrage, Granton Michael White
A Method of Reconstructing Historical Destructive Landslides Using Bayesian Inference, Raelynn Wonnacott
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
Reconstructing Historical Earthquake-Induced Tsunamis: Case Study of 1820 Event Near South Sulawesi, Indonesia, Taylor Jole Paskett
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