**Ph.D. Graduates**

**2024**

- Kanchana Esweda Gamladdalage, August 2024

Assistant Professor, Franklin Pierce University

Advisors: Bing Wei

Dissertation title: On Independent Bondage Number and Total Bondage Number of Graphs - Mahmud Hasan, May 2024

Instructional Assistant Professor, Virginia Commonwealth University

Advisors: Hailin Sang

Dissertation title: Error and f-Divergence Analysis of Generative Adversarial Network - Joseph Lopez, August 2024

Lecturer, University of Tennessee

Advisors: Sasa Kocic, Samuel Lisi

Dissertation title: Topics in Quantitative Symplectic Topology and Rigidity in Circle Dynamics - Casey Lochridge, May 2024

Instructor, Itawamba Community College

Advisors: Jeremy Clark

Dissertation title: Weak Disorder Limit on Diamond Hierarchical Graphs with Vertex Disorder in the Critical Case - Apoorva Mate, May 2024

Assistant Teaching Professor, Pennsylvania State University – Brandywine

Advisors: Qingying Bu

Dissertation title: Pełczynski’s Properties (V) and (V∗) on Positive Tensor Products of Banach Lattices - Mathias Muia, May 2024

Assistant Professor, University of South Alabama

Advisors: Martial Longla

Dissertation title: Dependence and Mixing for Perturbations of Copula-Based Markov Chains - Lei Zhong, August 2024

Instructional Assistant Professor, University of Mississippi

Advisors: Bing Wei

Dissertation title: On the Saturation Numbers of Double Stars

**2023**

- Chathurika Abeykoon, May 2023

Assistant Professor, Rhodes College

Advisors: Hailin Sang

Dissertation title: The Double Descent Behavior in a Two Layer Neural Network for Binary Classification - Phil Kains, May 2023

Assistant Professor, Belhaven University

Advisors: Haidong Wu

Dissertation title: On Intersections of Long Cycles and Paths in k-Connected Graphs - Page Thorn, May 2023

Assistant Professor, Blue Mountain Christian University

Advisors: Gerard Buskes

Dissertation title: On the Tensor Product of Archimedean Riesz Spaces - Yutian Yu, December 2023

Associate Data Scientist at Rocket Loans

Advisors: Samuel Lisi

Dissertation title: A Discrete Conley-Zehnder Index for Symplectic Polytopes

**2022**

- Courtney Vanderford Michael, May 2022

Instructor, Northeast Mississippi Community College

Advisors: Xin Dang

Dissertation title: On the Symmetric and Computationally Efficient Correlations in Several Bivariate Distributions - Qinghong Zhao, May 2022

Lecturer, Hoaqioa University, China

Advisor: Bing Wei

Dissertation title: On Ramsey and Gallai-Ramsey Numbers of Some Classes of Graphs

**2021**

- Moriah Lugar, December 2021

Teacher, Prishtina High School, Kosovo

Advisor: Micah B. Milinovich

Dissertation title: On the Variance in Selberg’s Central Limit Theorem - Andrew Pham, August 2021

Visiting Professor, University of Mississippi for Women

Advisor: Bing Wei

Dissertation title: On Domination and Bondage Numbers of Some Classes of Graphs - Duc Anh Doan, May 2021

Postdoc, Department of Biostatistics and Medical Informatics, University of Wisconsin-Madison

Advisors: Dao Nguyen and Xin Dang

Dissertation title: Topics on the sampling, optimization and methodology on partially observed Markov process

**2020**

- Timothy Fortune, August 2020

Nicholls State University at Thibodaux, LA

Advisor: Hailin Sang

Dissertation title: A Local Limit Theorem for Linear Random Fields and Shannon Entropy Estimation for Linear Processes - Zhenchao Ge, May 2020

Research Assistant Professor, Institute of Mathematical Sciences, ShanghaiTech University

Advisors: Micah B. Milinovich and Thái Hoàng Lê

Dissertation title: Topics in Analytic and Combinatorial Number Theory

**2019**

- Aleksandr Beknazaryan, August 2019

Laurentian University, Canada

Advisor: Hailin Sang

Dissertation title: Cramer Type Moderate Deviations for Random Fields and Mutual Information Estimation for Mixed-Pair Random Variables

**2018**

- Sooyeon Lee, May 2018

Advisor: Haidong Wu

Dissertation title: Beta Invariant and Variations of Chain Theorems for Matroids - Khazhak Navoyan, May 2018

Advisor: Qingying Bu

Dissertation title: Bases in Spaces of Regular Multilinear Operators and Homogeneous Polynomials on Banach Lattices - Tommy Naugle, May 2018

Advisor: Samuel Lisi

Dissertation title: Generalized Characteristics in Convex Polytopes

**2017**

- Stephan Roberts, December 2017

Advisor: Gerard Buskes

Dissertation title: Orthosymmetric Maps and Polynomial Valuations - Milisha Hart-Simmons, August 2017

Advisor: Talmage James Reid

Dissertation title: The Element Spectrum of a Matroid - Yongli Sang, May 2017

Assistant Professor, University of Louisiana Lafayette

Advisor: Hailin Sang

Dissertation title: Memory Properties of Transformations of Linear Processes and Symmetric Gini Correlations - Lynsey Cargile Naugle, May 2017

Health Data Analyst, Blue Cross and Blue Shield of Mississippi

Advisor: Erwin Miña Díaz

Dissertation title: Orthogonal Polynomials on an Arc of the Unit Circle with Respect to a Generalized Jacobi Weight: A Riemann-Hilbert Approach - James Henegan, May 2017

Advisor: Erwin Miña Díaz

Dissertation title: Asymptotic Properties of Polynomials Orthogonal over Multiply Connected Domains

**2016**

- Bruce Priddy, August 2016

US Army Research Laboratory, Postdoctoral Fellow, Aberdeen Proving Ground, Maryland

Advisor: Bing Wei

Dissertation title: Independent Domination in Subcubic Graphs - Shaohui Wang, July 2016

Lecturer, Adelphi University

Advisor: Bing Wei

Dissertation title: On Topological Indices and Domination Numbers of Graphs - Janet Nakarmi, May 2016

Assistant Professor, University of Central Arkansas

Advisor: Hailin Sang

Dissertation title: On Variable Bandwidth Kernel Density and Regression Estimation

**2015**

- Byunghoon Lee, May 2015

Assistant Professor, Tuskegee University

Advisor: Qingying Bu

Dissertation title: Diagonals of Tensor Products of Banach Lattices with Bases - Christopher Schwanke, May 2015

Advisor: Gerard Buskes

Dissertation title: Complex Vector Lattices: Tensor Products and Multilinear Maps - Lauren Weatherall, May 2015

Health Data Analyst, Blue Cross and Blue Shield of Mississippi

Advisor: Xin Dang

Dissertation title: Gini Covariance Matrix and its Affine Equivariant Version

**2014**

- Jamye Curry, August 2014

Assistant Professor, School of Science and Technology, Georgia Gwinnett College

Advisor: Xin Dang

Dissertation title: Rank-based Two Sample Tests Under A General Alternative - Bette Catherine Putnam, May 2014

Advisor: Laura Sheppardson

Dissertation title: The Characterization of Graphs with Small Bicycle Spectrum - Caroline Turnage-Butterbaugh, May 2014

Advisor: Micah B. Milinovich

Dissertation title: Moments of Products of L-Functions

**2013**

- Wanda Payne, July 2013

Advisor: William Staton

Dissertation title: Well-covered Graphs, Unique Colorability, and Covering Range - Kayla Davis Harville, May 2013

Advisors: Haidong Wu and Talmage James Reid

Dissertation title: On Binary and Regular Matroids Without Small Minors

**2012**

- Kai Yu, December 2012

Business Intelligence Engineer, Amazon Web Service, Amazon

Advisor: Xin Dang

Dissertation title: Contributions to Robust Methods: Modified Rank Covariance Matrix and Spatial-EM Algorithm - John Estes, May 2012

Advisors: Bing Wei and William Staton

Dissertation title: On k-Trees and Special Classes of k-Trees

**2010**

- Torina Lewis, December 2010

Advisor: Talmage James Reid

Dissertation title: Bicircular Matroids with Circuits of at Most Two Sizes - Adam Gray, August, 2010

Advisor: Talmage James Reid

Dissertation title: Clone Arcs in Matroids and Projective Spaces - James Shook, August, 2010

Advisor: Bing Wei

Dissertation title: Hamilton Cycles, Paths and Centers of Chordal Graphs - Cuilan Gao, May 2010

Assistant Professor, Department of Mathematics, University of Tennessee at Chattanooga

Advisor: Xin Dang

Dissertation title: Graph Ranking by Kernelized Spatial Depth Functions, with Applications

**2009**

- Justin Spencer, July 2009

Advisor: William Staton

Dissertation title: On the Hereditary Degree Repetition Index of a Graph - Lyrial Chism , May 2009

Advisor: William Staton

Dissertation title: On Independence Polynomials and Independence Equivalence in Graphs - Michelle Cradock , May 2009

Advisor: Qingying Bu

Dissertation title: Reflexivity and the Grothendieck Property for Positive Tensor Products of Banach Lattices - Loni Delaplane , May 2009

Advisor: Haidong Wu

Dissertation title: Connectivity and Characteristic Polynomials of Binary Matroids - Lanzhen Song , May 2009

Advisor: William Staton

Dissertation title: Independence Polynomials of k-Tree Related and Well-covered Graphs

**2008**

- Joshua Hanes, July 2008

Mississippi Unversity for Women

Advisor: Tristan Denley

Dissertation title: Distance Graphs on the Integers - Wei-Kai Lai, May 2008

University of South Carolina, Salkehatchie

Advisors: Qingying Bu and Gerard Buskes

Dissertation title: The Radon-Nikodym Property for Positive Tensor Products of Banach Lattices

**2007**

- Latonya Garner, August 2007

Mississippi Valley State University

Advisor: Hanxiang Peng

Dissertation title: A Partially Exchangeable Model with Applications to Correlated Binary Data - Leslie Horton, May 2007

Delta State University

Advisor: William Staton

Dissertation title: Enumerations of Independent Sets in Graphs - Emlee Nicholson, April 2007

Winthrop University

Advisor: Bing Wei

Dissertation title: Long Cycles and Paths Containing k-Ordered Vertices in Graphs

**2006**

- Joe Anderson

Mississippi Valley State University

Advisor: Haidong Wu

Dissertation title: 3-Connected Binary Matroids and Graphs - Sankar Bokka, August 2006

Advisor: Sunil Mathur

Dissertation title: Statistical Tests for the Identification of Differentially Expressed Genes - Carla Cotwright, June 2006

Hampton University

Advisor: Talmage James Reid

Dissertation title: Clones and Minors in Matroids - Brian Davis, May 2006

Tusculum College, Tennessee

Advisor: Iwo Labuda

Dissertation title: Generalized Compactness and Applications - Samuel Dolo, May 2006

Advisor: Sunil Mathur

Dissertation title: A Nonparametric Test for Scale in Univariate Population Setup - Stephine Keeton, December 2006

Food and Drug Administration

Advisor: Hanxiang Peng

Dissertation title: The Semiparametric Exchangeable Model and Its Applications - Pamela Smith , August 2006

Millsaps and Hinds Community College

Advisor: Sunil Mathur

Dissertation title: An Efficient Nonparametric Test for Bivariate Two-Sample Location Problem - Bryan Williams, May 2006

Hampton University

Advisor: Talmage James Reid

Dissertation title: Large Circuit Pairs in Matroids - Adrian Wilson, April 2006

University of Montevallo

Advisor: Alan Paterson

Dissertation title: Graph Groupoids and Their Topology

**2005**

- Jaromy Kuhl, May 2005

West Florida University

Advisor: Tristan Denley

Dissertation title: On Completing and Avoiding Partial Latin Squares - Robert Page, May 2005

Framingham State College, Vermont

Advisor: Gerard Buskes

Dissertation title: On Bilinear Maps of Order Bounded Variation - Gibson Johnston Rayner, May 2005

Advisor: Hanxiang Peng

Dissertation title: The Exchangeable Negative Binomial Distribution and Its Applications - Alice Sanford, December 2005

University of Mississippi

Advisor: William Staton

Dissertation title: Cycle Spectra, Automorphic Uniqueness, and Isomorphism - Benton Tyler, May 2005

University of Montevallo

Advisor: William Staton

Dissertation title: Tilings and Packings of n-Dimensional Cubes

**2003**

- Amy Welch, December 2003

Applied Research Associates, Inc.

Advisor: Alan Paterson

Dissertation title: Tychonoff’s Theorem and the Metric Topology of Path Spaces - Nolan McMurray Jr., May 2003

University of North Carolina Wilmington

Advisor: Talmage James Reid

Dissertation title: On Largest Circuits and Cocircuits in Matroids - Jake Olivier, May 2003

Advisor: Hanxiang Peng

Dissertation title: Home Range Techniques Utilizing Spatial Correlation