### Theses from 2023

Concentration Theorems for Orthonormal Sequences in a Reproducing Kernel Hilbert Space, Travis Alvarez

Aspects of Stochastic Geometric Mechanics in Molecular Biophysics, David Frost

Advancements in Fluid Simulation Through Enhanced Conservation Schemes, Sean Ingimarson

Zero-Knowledge Reductions and Confidential Arithmetic, Marvin Jones

Asymptotic Cones of Quadratically Defined Sets and Their Applications to QCQPs, Alexander Joyce

Estimating Financial and Environmental Risk: Some New Developments and Comparison Study., Fnu Kamronnaher

A Framework for Statistical Modeling of Wind Speed and Wind Direction, Eva Murphy

Multiparametric Continuous and Mixed-Integer Nonlinear Optimization with Parameters in General Locations, Andrew Pangia

Recovering Coefficients of Second-Order Hyperbolic and Plate Equations via Finite Measurements on the Boundary, Scott Randall Scruggs

Algebraic and Integral Closure of a Polynomial Ring in its Power Series Ring, Joseph Swanson

Acceleration Methods for Nonlinear Solvers and Application to Fluid Flow Simulations, Duygu Vargun

New Preconditioned Conjugate Gradient Methods for Some Structured Problems in Physics, Tianqi Zhang

Zeros of Modular Forms, Daozhou Zhu

### Theses from 2022

Some Improved Markov Chain Convergence Rates, Fun Choi John Chan

Characterizing Unmixed Trees and Coronas with Respect to PMU Covers, Michael Cowen

Groundwork for the Development of GPU Enabled Group Testing Regression Models, Paul Cubre

Lindley Processes with Correlated Changes, John Grant

Statistical Methods for Modern Threats, Brandon Lumsden

Minimal Differential Graded Algebra Resolutions Related to Certain Stanley-Reisner Rings, Todd Anthony Morra

On Variants of Sliding and Frank-Wolfe Type Methods and Their Applications in Video Co-localization, Seyed Hamid Nazari

Advancements in Gaussian Process Learning for Uncertainty Quantification, John C. Nicholson

Improved First-Order Techniques for Certain Classes of Convex Optimization, Trevor Squires

Cohen-Macaulay Type of Weighted Path Ideals, Shuai Wei

Improving Efficiency of Rational Krylov Subspace Methods, Shengjie Xu

### Theses from 2021

Characterizing Unmixed Trees with Respect to Total Domination and PMU Covers, James Gossell

An Algorithm for Biobjective Mixed Integer Quadratic Programs, Pubudu Jayasekara Merenchige

Exact Controllability and Inverse Problem for the Mindlin-Timoshenko System, Jason Alexander Kurz

### Theses from 2020

Codes and Sequences for Information Retrieval and Stream Ciphers, Travis Alan Baumbaugh

A Computational Framework for Axisymmetric Linear Elasticity and Parallel Iterative Solvers for Two-Phase Navier–Stokes, Alistair R. Bentley

Homomorphic Encryption and Cryptanalysis of Lattice Cryptography, Benjamin M. Case

The Uncertainty Principle in Control Theory for Partial Differential Equations, Andrew Walton Green

Uncertainty Principles in Framed Hilbert Spaces, Haodong Li

Statistical Models for the Analysis of Complex Data, Stefani Mokalled

### Theses from 2019

Analytical and Iterative Regularization Methods for Nonlinear Ill-posed Inverse Problems: Applications to Diffuse Optical and Electrical Impedance Tomography, Sanwar Uddin Ahmad

A Parallel Geometric Multigrid Method for Adaptive Finite Elements, Thomas Conrad Clevenger

Performance of Latent Dirichlet Allocation with Different Topic and Document Structures, Haotian Feng

High Dimensional Regression Techniques for Complex Data, Chase Joyner

Bayesian Spatio-Temporal Modeling for Forecasting, Trend Assessment and Spatial Trend Filtering, Stella Coker Watson Self

Numerical methods and analysis for continuous data assimilation in fluid models, Camille Zerfas

### Theses from 2018

Analysis of Time-Series Data Embedded in an Experiment Design, Yinggu Bao

The EMAC scheme for Navier-Stokes simulations, and application to flow past bluff bodies, Sergey Charnyi

Tight Representations of Specially-Structured 0-1 Linear, Quadratic, and Polynomial Programs, Audrey N. DeVries

Robust Solutions to Uncertain Multiobjective Programs, Garrett M. Dranichak

Generalizations of Permutation Statistics to Words and Labeled Forests, Amy Christine Grady

Some Models for Count Time Series, Yisu Jia

On Some Conjectures in Additive Number Theory, Huixi Li

Matching potential in randomized complete block designs, Elaine Sotherden

Properties of Some Markov Chains on Linear Extensions of Posets, Kara Stasikelis

Variable Selection for Complex Data with Sparsity: An Application in GWAS, Tianhui Wei

Efficient and Accurate Splitting Methods for Flow Problems, Mengying Xiao

Convex Hulls, Relaxations, and Approximations of General Monomials and Multilinear Functions, Yibo Xu

A Numerical Method for the Navier Stokes Equations in a Velocity-Vorticity Form, Liang Zhao

On Some Environmental Applications of Stochastic Processes, Liu Zhu

### Theses from 2017

Chaos to Permanence - Through Control Theory, Sherli Koshy Chenthittayil

Average Frobenius Distributions for Elliptic Curves: Extremal Primes and Koblitz's Conjecture, Luke M. Giberson

Average Frobenius Distributions for Elliptic Curves: Extremal Primes and Koblitz's Conjecture, Luke M. Giberson

Assessing Non-Atomicity in Groups of Divisibility, Brandon G. Goodell

Assessing Non-Atomicity in Groups of Divisibility, Brandon G. Goodell

Discretizations & Efficient Linear Solvers for Problems Related to Fluid Flow, Ryan R. Grove

Income Inequality, Rapidly Rising Housing Prices and Overdevelopment of Houses in China, Tao Guan

Johnson-Lindenstrauss Transformations, Fiona Knoll

Chaos to Permanence-Through Control Theory, Sherli Koshy Chenthittayil

Normal Domains Arising from Graph Theory, Drew J. Lipman

Latent data modeling with biostatistical applications, Yan Liu

Efficient Numerical Methods for Magnetohydrodynamic Flow, Muhammad Mohebujjaman

Correlated and Interacting Predictor Omission for Linear and Logistic Regression Models, Emily Nystrom

Localization of Generalized Frames in Hilbert Spaces: Asymptotic Behavior of Concentration and Toeplitz Operators, Sampling and Interpolation, and Density Results, Aarón Ernesto Ramírez Flores

Time-dependent Stokes-Darcy Flow with Deposition, Javier Ruiz Ramirez

Parsimonious Space-Time Temperature Series Modeling, Yanbo Xia

Adaptive Robust Methodology for Parameter Estimation and Variable Selection, Tao Yang

### Theses from 2016

Numerical study for non-Newtonian fluid-structure interaction problems, Shuhan Xu

### Theses from 2015

Bayesian Minimum Description Length Techniques for Multiple Changepoint Detection, Hewa Anuradha Priyadarshani

### Theses from 2012

A Collection of Problems in Combinatorics, Janine Janoski

### Theses from 2011

Fractal Jackson Networks, Mahmoud Rezaei

### Theses from 2009

Factoring Polynomials and Groebner Bases, Genhua (yinhua) Guan

Discrete Dynamics over Finite Fields, Jang-woo Park

Modeling HIV Drug Resistance, Mingfu Zhu

### Theses from 2007

Issues in Model Selection, Minimax Estimation, and Censored Data Analysis, Meng Zhao