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Theses/Dissertations from 2022

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

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

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

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

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

Theses/Dissertations from 2021

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

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Terwilliger Algebras for Several Finite Groups, Nicholas Lee Bastian

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

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Modeling a Human Family Network, Rebecca Jo Flores

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Invariant Lattices of Several Elliptic K3 Surfaces, Joshua Joseph Fullwood

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Petal Diagrams and Seifert Surfaces, Jason Robert Gardiner

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

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

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Multilattice Tilings and Coverings, Joshua Randall Linnell

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Dynamics of Systems Driven by an External Force, Xue Liu

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

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Computing the Rank of Braids, Justin Meiners

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Weak Cayley Table Groups of Crystallographic Groups, Rebeca Ann Paulsen

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

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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

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Zeros of a Family of Complex Harmonic Polynomials, Samantha Sandberg

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

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Minimizer of A Free Boundary Problem, Mingyan Zhao

Theses/Dissertations from 2020

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Stability of MHD Shock Waves, Bryn Nicole Barker

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Topologically Mixing Suspension Flows, Jason J. Day

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

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

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Divisors of Modular Parameterizations of Elliptic Curves, Jonathan Reid Hales

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

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

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Secondary Mathematics Teachers' Mindsets, Emily Ann Hales Kunz

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Optimal Learning Rates for Neural Networks, Tyler Moncur

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

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

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

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Chaotic Model Prediction with Machine Learning, Yajing Zhao

Theses/Dissertations from 2019

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

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Almost Homeomorphisms and Inscrutability, Michael Steven Andersen

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

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

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Schur Rings over Infinite Groups, Cache Porter Dexter

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Sequential Survival Analysis with Deep Learning, Seth William Glazier

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Extensions of the Power Group Enumeration Theorem, Shawn Jeffrey Green

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Hyperparameters for Dense Neural Networks, Christopher James Hettinger

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

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

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Regular Fibrations over the Hawaiian Earring, Stewart Mason McGinnis

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

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

Theses/Dissertations from 2018

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Subtraction Games: Range and Strict Periodicity, Bryce Emerson Blackham

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

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Model Predictive Linear Control with Successive Linearization, Jesse Robert Friedbaum

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Model Predictive Linear Control with Successive Linearization, Jesse Robert Friedbaum

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A New Family of Topological Invariants, Nicholas Guy Larsen

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

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The Arithmetic of Modular Grids, Grant Steven Molnar

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

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Clean Indices of Common Rings, Benjamin L. Schoonmaker

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

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

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

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Euclidean Domains, Vandy Jade Tombs

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

Theses/Dissertations from 2017

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

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

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

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

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

Theses/Dissertations from 2016

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

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

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Machine Learning for Disease Prediction, Abraham Jacob Frandsen

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American Spread Option Pricing with Stochastic Interest Rate, An Jiang

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

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

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

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

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Weak Cayley Table Groups of Wallpaper Groups, Rebeca Ann Paulsen

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

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

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Modeling Individual Health Care Utilization, Matthew Aaron Webb

Theses/Dissertations from 2015

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

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Compression Bodies and Their Boundary Hyperbolic Structures, Vinh Xuan Dang

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

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

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The Solenoid and Warsawanoid Are Sharkovskii Spaces, Tyler Willes Hills

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The Steiner Problem on Closed Surfaces of Constant Curvature, Andrew Logan

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Alternating Direction Implicit Method with Adaptive Grids for Modeling Chemotaxis in Dictyostelium discoideum, Christopher F. Loomis

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Investigations into Non-Degenerate Quasihomogeneous Polynomials as Related to FJRW Theory, Scott C. Mancuso

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Nonlocally Maximal Hyperbolic Sets for Flows, Taylor Michael Petty

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Topics Pertaining to the Group Matrix: k-Characters and Random Walks, Randall Dean Reese

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A Nonabelian Landau-Ginzburg B-Model Construction, Ryan Thor Sandberg

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Analysis of Multiple Collision-Based Periodic Orbits in Dimension Higher than One, Skyler C. Simmons

Theses/Dissertations from 2014

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Connecting Galois Representations with Cohomology, Joseph Allen Adams

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The Existence of a Discontinuous Homomorphism Requires a Strong Axiom of Choice, Michael Steven Andersen

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Convolutions and Convex Combinations of Harmonic Mappings of the Disk, Zachary M. Boyd

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Pro-Covering Fibrations of the Hawaiian Earring, Nickolas Brenten Callor

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Hecke Eigenvalues and Arithmetic Cohomology, William Leonard Cocke

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Hölder Extensions for Non-Standard Fractal Koch Curves, Joshua Taylor Fetbrandt

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A Volume Bound for Montesinos Links, Kathleen Arvella Finlinson

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A New Public-Key Cryptosystem, Christopher James Hettinger