Dissertations from 2024
Probabilistic and data-driven methods for numerical PDEs, Johannes Krotz
The Geometry of Ancient Solutions to Curvature Flows, Sathyanarayanan Rengaswami
Convex Ancient Solutions to Anisotropic Curve Shortening Flow, Benjamin Richards
Mathematical Modeling and Numerical Approximations of Combustion Instability Frequencies and Growth Rates, Harvey B. Ring III
A Novel Analytic Diagonalization Technique Finite Element Method for the Spectral Fractional Laplacian, Shane E. Sawyer
Asymptotic Compatibility of Parameterized Nonlocal Optimal Control and Design Problems, Joshua Michael Siktar
Bridging Biological Systems with Social Behavior, Conservation, Decision Making, and Well-being through Hybrid Mathematical Modeling, Maggie Renee Sullens
Dissertations from 2023
Explicit Constructions of Canonical and Absolute Minimal Degree Lifts of Twisted Edwards Curves, William Coleman Bitting IV
Computational Aspects of Mixed Characteristic Witt Vectors and Denominators in Canonical Liftings of Elliptic Curves, Jacob Dennerlein
The G_2-Hitchin Component of Triangle Groups: Dimension and Integer Points, Hannah E. Downs
Applications of Mathematical and Statistical Modeling to Wildlife Management, Animal Husbandry, and Circadian Physiology, David Christian Elzinga
LARGE DEVIATIONS FOR SELF INTERSECTION LOCAL TIMES OF ORNSTEIN-UHLENBECK PROCESSES, Apostolos Gournaris
An Exploration of Absolute Minimal Degree Lifts of Hyperelliptic Curves, Justin A. Groves
Coefficients of modular forms and applications to partition theory, Michael Anthony Hanson
Invasion Modeling of Zebra Mussels and COVID-19, Alexanderia Lacy
Adaptive and Topological Deep Learning with applications to Neuroscience, Edward Mitchell
Generative Adversarial Game with Tailored Quantum Feature Maps for Enhanced Classification, Anais Sandra Nguemto Guiawa
Modeling Substance Use Disorder using Deterministic and Stochastic Approaches and A Bayesian Model of Sudden Death, Leigh Pearcy
Dissertations from 2022
Modeling Basal Sprout Production in Vector-Borne Tree Disease, Kelly Buch
Sequential Deformations of Hadamard Matrices and Commuting Squares, Shuler G. Hopkins
Applications of Modeling to Hantavirus, Cholera, and COVID-19, Morganne E. Igoe
DVR-Matroids of Algebraic Extensions, Anna L. Lawson
A Coarse Approach to the Freudenthal Compactification and Ends of Groups, Hussain S. Rashed
Some Results About Reproducing Kernel Hilbert Spaces of Certain Structure, Jesse Gabriel Sautel
Looking at Community Issues Through the Lens of Mathematical Modeling, Anna H. Sisk
A Weak Fractional Calculus Theory and Numerical Methods for Fractional Differential Equations, Mitchell D. Sutton
Optimal Control Applied to Resource Allocation in a PDE Ecosystem Model and a Zika Virus Epidemic Model, Wencel W. Valega-Mackenzie
Characteristic Sets of Matroids, Dony Varghese
Numerical methods for stochastic Stokes and Navier-Stokes equations, Liet Vo
Dissertations from 2021
Applications of Optimization in Runner and Mosquito Models, Cameron Christian Cook
Modeling Mosquito-borne Diseases: An adventure through ODEs and integral equations, Margaret A. Grogan
Preconditioned Nesterov’s Accelerated Gradient Descent Method and Its Applications to Nonlinear PDE, Jea Hyun Park
Coarse Proximity Spaces, Jeremy D. Siegert
Mathematical Models in Medicine: The Immune Response of Celiac Disease and the Environmental Transmission of Clostridioides difficile in Healthcare Settings, Cara Jill Sulyok
Data Driven Models of Hemlock Woolly Adelgid Impacts and Biological Control, Hannah M. Thompson
Dissertations from 2020
Applications with Discrete and Continuous Models: Harvesting and Contact Tracing, Danielle L. Burton
Applications of nonlinear approximation for problems in learning theory and applied mathematics, Joseph Douglas Daws Jr
A method for determining the realizability of tropical curves in R³, Gabriel John Dusing
Graphene Formation using the PFC Model with a Vapor Phase, Stephen Galloway
Denominators of the Weierstrass Coefficients of the Canonical Lifting, Delong Li
Persistence Diagram Cardinality and its Applications, Cassie Putman Micucci
Bayesian Topological Machine Learning, Christopher A. Oballe
Data-Driven Modeling of the Heroin and Fentanyl Epidemic and the Harvesting of Trees in West Africa, Tricia Marie Phillips
Mathematical Analysis of a Nonlocal System of Equations Arising in Peridynamics, James Scott
Advanced Statistical Methods for Atomic-Level Quantification of Multi-Component Alloys, Adam Spannaus
Modular forms, partitions, and q-series, Margaret Anne Wieczorek
Finite element methods for nonlinear, dispersive equations, Michael Morgan Wise
Topological Data Analysis in Sub-cellular Motion Reconstruction and Filament Networks Classification, Le Yin
Dissertations from 2019
Leptospirosis models: vaccination of cattle and early detection in humans, Ibrahim Aslan
An Energy Based Blending of Classical Elasticity and Peridynamics, Kileen A. Berry
Optimal Control Strategies in Ecosystem-Based Fishery Models, Mahir Demir
Effects of Edge Energy Anisotropy on Crystal Morphology in Epitaxial Growth, Khoa Dinh
Coarse Proximity, Proximity at Infinity, and Coarse Structures, Pawel Grzegrzolka
Numerical Methods for Radiative Transport Equations, Vincent Heningburg
From Isomorphism Identities to Levy measures of Non-negative Infinitely Divisible Processes, Vy Nguyen
Modeling the effects of cognition on cooperation, Logan Perry
Rejection Enhanced Off-Lattice Kinetic Monte Carlo, Hamza Mahmoud Ruzayqat
The Diffusion Phenomenon for Dissipative Wave Equations with Time-Dependent Operators, Montgomery Taylor
On some coarse geometric notions inspired by topology and category theory, Thomas Weighill
Dissertations from 2018
Classifications of Real Conic and Cubic Curves, Mark Bly
Sparse Reconstruction Techniques for Solutions of High-Dimensional Parametric PDEs, Nicholas Calvin Dexter
Mathematical Models of Bacterial Chemotaxis, Mustafa Zeki Elmas
Coarse Constructions, Logan McKee Higginbotham
Analysis of Weierstrass Function and its effect on Loewner Hulls, David Nielsen Horton
Asymptotics for dynamical systems driven by jump noise, Xiaoyang Pan
Optimal Control of Two Models of Invasive Species, Rebecca Pettit
Blow-ups of Two-Convex, Type-I Mean Curvature Flow, Kevin Michael Sonnanburg
Investigating Hulls From The Loewner Equation, Andrew Charles Starnes
Comparing the Impact of Control Strategies on Mathematical Models of Clostridium difficile Transmission, Brittany Christine Stephenson
The Dimension of the Restricted Hitchin Component for Triangle Groups, Elise Anne Weir
Dissertations from 2017
Mathematical Modeling of Mixtures and Numerical Solution with Applications to Polymer Physics, John Timothy Cummings
Linearly Preconditioned Nonlinear Solvers for Phase Field Equations Involving p-Laplacian Terms, Wenqiang Feng
Assessing the Economic Tradeoffs Between Prevention and Suppression of Forest Fires, Elizabeth Trulia Heines
Efficient Methods for Multidimensional Global Polynomial Approximation with Applications to Random PDEs, Peter A. Jantsch
Localization of Large Scale Structures, Ryan James Jensen
Surface Energy in Bond-Counting Models on Bravais and Non-Bravais Lattices, Tim Ryan Krumwiede
Data Analysis Methods using Persistence Diagrams, Andrew Marchese
Generalizations and Variations of the Zero-Divisor Graph, Grace Elizabeth McClurkin
Statistical Computational Topology and Geometry for Understanding Data, Joshua Lee Mike
Modeling the evolution of visual sexual signaling, receptivity, and sexual signal reliability among female primates, Kelly Anne Rooker
Numerical Methods for Non-divergence Form Second Order Linear Elliptic Partial Differential Equations and Discontinuous Ritz Methods for Problems from the Calculus of Variations, Stefan Raymond Schnake
Generalizations of Coarse Properties in Large Scale Spaces, Kevin Michael Sinclair
Dependence structures in Lévy-type Markov processes, Eddie Brendan Tu
Various Topics on Graphical Structures Placed on Commutative Rings, Darrin Weber
Construction and Classification Results for Commuting Squares of Finite Dimensional *-Algebras, Chase Thomas Worley
Approximation of Invariant Subspaces, Faruk Yilmaz
Dissertations from 2016
Non-Compact Solutions to Inverse Mean Curvature Flow in Hyperbolic Space, Brian Daniel Allen
Kinetic Monte Carlo Models for Crystal Defects, Kyle Louis Golenbiewski
Duality of Scales, Michael Christopher Holloway
Modeling Feral Hogs in Great Smoky Mountains National Park, Benjamin Anthony Levy
Extension Theorems on Matrix Weighted Sobolev Spaces, Christopher Ryan Loga
The Conway Polynomial and Amphicheiral Knots, Vajira Asanka Manathunga
Variable selection via penalized regression and the genetic algorithm using information complexity, with applications for high-dimensional -omics data, Tyler J. Massaro
ANTHRAX MODELS INVOLVING IMMUNOLOGY, EPIDEMIOLOGY AND CONTROLS, Buddhi Raj Pantha
Mathematical Approaches to Sustainability Assessment and Protocol Development for the Bioenergy Sustainability Target Assessment Resource (Bio-STAR), Nathan Louis Pollesch
Hankel Operators on the Drury-Arveson Space, James Allen Sunkes III