#### Dissertations from 2020

Applications of nonlinear approximation for problems in learning theory and applied mathematics, Joseph Douglas Daws Jr

Denominators of the Weierstrass Coefficients of the Canonical Lifting, Delong Li

Persistence Diagram Cardinality and its Applications, Cassie Putman Micucci

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

#### 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

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

Numerical Solutions of Stochastic Differential Equations, Liguo Wang

#### Dissertations from 2015

Geometry of Scales, Kyle Stephen Austin

Population Modeling for Resource Allocation and Antimicrobial Stewardship, Jason Bintz

Domain Decomposition Methods for Discontinuous Galerkin Approximations of Elliptic Problems, Craig Dwain Collins

Investigating advection control in competitive PDE systems and environmental transmission in Johne's Disease ODE models, Kokum Rekha De Silva

Numerical Analysis of Convex Splitting Schemes for Cahn-Hilliard and Coupled Cahn-Hilliard-Fluid-Flow Equations, Amanda Emily Diegel

The Congruence-Based Zero-Divisor Graph, Elizabeth Fowler Lewis

#### Dissertations from 2014

Multistep Kinetic Monte Carlo, Holly Nichole Johnson Clark

Asymptotic Behavior of a Class of SPDEs, Parisa Fatheddin

Spatial Dynamic Models for Fishery Management and Waterborne Disease Control, Michael Robert Kelly Jr.

Numerical Methods and Algorithms for High Frequency Wave Scattering Problems in Homogeneous and Random Media, Cody Samuel Lorton

Some Aspects of Function Theory for Dirichlet-type Spaces, Shuaibing Luo

Models Linking Epidemiology with Immunology and Ecology, Eric Shu Numfor

Properties of Ideal-Based Zero-Divisor Graphs of Commutative Rings, Jesse Gerald Smith Jr.

#### Dissertations from 2013

Modeling the Genetic Consequences of Mutualism on Communities, Carrie E. Eaton

Finite Difference and Discontinuous Galerkin Finite Element Methods for Fully Nonlinear Second Order Partial Differential Equations, Thomas Lee Lewis

Optimal Control for Management in Gypsy Moth Models, Marco Vinisio Martinez

Big Homotopy Theory, Keith Gordon Penrod

Multiplicative Sets of Atoms, Ashley Nicole Rand

Isolation and Deformation Results for Commuting Squares of Finite Dimensional Matrix Algebras, Joseph Robert White

Long Time Asymptotics of Ornstein-Uhlenbeck Processes in Poisson Random Media, Fei Xing

#### Dissertations from 2012

Generalized Branching in Circle Packing, James Russell Ashe

Stability of Nonlinear Filters and Branching Particle Approximations to The Filtering Problems, Zhiqiang Li

Hyperbolic Structures from Link Diagrams, Anastasiia Tsvietkova

Analysis of solvability and applications of stochastic optimal control problems through systems of forward-backward stochastic differential equations., Kirill Yevgenyevich Yakovlev

#### Dissertations from 2011

Adaptive Discontinuous Galerkin Finite Element Methods for a Diffuse Interface Model of Biological Growth, Andreas C Aristotelous

Bounded Geometry and Property A for Nonmetrizable Coarse Spaces, Jared R Bunn

Dynamics of Mushy Layers on a Finite Domain, Nicholas Ray Gewecke

On the homology of automorphism groups of free groups., Jonathan Nathan Gray

Moderate deviation of intersection of ranges of random walks in the stable case, Justin Anthony Grieves

Lagrangian Representations of (p, p, p)-triangle Groups, Paul Wayne Lewis Jr.

A TIME-AND-SPACE PARALLELIZED ALGORITHM FOR THE CABLE EQUATION, Chuan Li

Counting Reducible Composites of Polynomials, Jacob Andrew Ogle

Circle Packings on Affine Tori, Christopher Thomas Sass

Explicit Lp-norm estimates of infinitely divisible random vectors in Hilbert spaces with applications, Matthew D Turner

Discrete Geometric Homotopy Theory and Critical Values of Metric Spaces, Leonard Duane Wilkins

Optimal Theory Applied in Integrodifference Equation Models and in a Cholera Differential Equation Model, Peng Zhong

#### Dissertations from 2010

Optimal Control of Species Augmentation Conservation Strategies, Erin Nicole Bodine

Carleson-type inequalitites in harmonically weighted Dirichlet spaces, Gerardo Roman Chacon Perez