#### 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

A Method to Accomplish the Optimal Control of Continuous Dynamical Systems with Impulse Controls via Discrete Optimal Control and Utilizing Optimal Control Theory to Explore the Emergence of Synchrony., Rachel Natalie Graves

On the Irreducibility of the Cauchy-Mirimanoff Polynomials, Brian C. Irick

Schubert Numbers, Masato Kobayashi

On Conjectures Concerning Nonassociate Factorizations, Jason A Laska

Combinatorial Unification of Binomial-Like Arrays, James Stephen Lindsay

Elasticity of Krull Domains with Infinite Divisor Class Group, Benjamin Ryan Lynch

Computational Circle Packing: Geometry and Discrete Analytic Function Theory, Gerald Lee Orick

Fractions of Numerical Semigroups, Harold Justin Smith

Differential Equation Models and Numerical Methods for Reverse Engineering Genetic Regulatory Networks, Mi Un Yoon

#### Dissertations from 2009

Optimal Control Applied to Population and Disease Models, Rachael Lynn Miller Neilan

Small and Large Scale Limits of Multifractal Stochastic Processes with Applications, Jennifer Laurie Sinclair

Countable Groups as Fundamental Groups of Compacta in Four-Dimensional Euclidean Space, Ziga Virk

#### Dissertations from 2008

Optimal Control of Epidemic Models Involving Rabies and West Nile Viruses, Timothy Joseph Clayton

Zero-Divisor Graphs, Commutative Rings of Quotients, and Boolean Algebras, John D. LaGrange

Parallel Simulation of Individual-Based, Physiologically-Structured Population and Predator-Prey Ecology Models, Jeffrey A. Nichols

#### Dissertations from 2007

A Comparison of the Deck Group and the Fundamental Group on Uniform Spaces Obtained by Gluing, Raymond David Phillippi

#### Dissertations from 2006

Three Population Models Applied to Competition, Disease and Invasion, Erika Asano

Packings of Conformal Preimages of Circles, Matthew Edward Cathey

Optimal Control of Partial Di®erential Equations and Variational Inequalities, Volodymyr Hrynkiv

Cohomological Dimension With Respect to Nonabelian Groups, Atish Jyoti Mitra

Adaptive Discontinuous Galerkin Finite Element Methods for Second and Fourth Order Elliptic Partial Differential Equations, Michael A. Saum

#### Dissertations from 2005

Parity Theorems for Combinatorial Statistics, Mark A. Shattuck

Hypersurfaces of prescribed curvature in hyperbolic space, Marek Szapiel

#### Dissertations from 2004

Decidability in Algebraic Geometry, John James Iskra

Fibrator Properties of PL Manifolds, Violeta Vasilevska

#### Dissertations from 2003

Eigenvalue Dependence on Problem Parameters for Stieltjes Sturm-Liouville Problems, Laurie Elizabeth Battle

Computational Models for Diusion of Second Messengers in Visual Transduction, Harihar Khanal

An Individual- Based Model for the Toxic Algae Species Pseudo-nitzschia multiseries, Maria Siopsis

#### Dissertations from 2002

On Reproducing Kernels and Invariant Subspaces of the Bergman Shift, George Chailos