Ashbrock, Jonathan
Ph.D. Thesis: Compressed Representations of Signals and Models
Faculty Advisor: Alexander Powell
First Post-Graduate Position:

Gao, Zhen
Ph.D. Thesis: High order low-bit Sigma-Delta quantization for fusion frames and algorithms for hypergraph signal processing
Faculty Advisor: Alexander Powell
First Post-Graduate Position:

Jananthan, Hayden
Ph.D. Thesis: Complexity and Avoidance
Faculty Advisor: Stephen Simpson
First Post-Graduate Position:

Stojanovic, Hrvoje
Ph.D. Thesis: New Examples of Irreducible Subfactors of the Hyperfinite II₁ Factor with Rational, Non-Integer Index
Faculty Advisor: Dietmar Bisch
First Post-Graduate Position: Data Scientist, Mireo

Wagner, Frank
Ph.D. Thesis: Torsion Subgroups of Groups with Quadratic Dehn Function
Faculty Advisor: Alexander Olshanskiy
First Post-Graduate Position:

Wang, Wenhao
Ph.D. Thesis: Dehn Functions of Metabelian Groups
Faculty Advisor: Mark Sapir
First Post-Graduate Position:

Yang, Jun
Ph.D. Thesis: The von Neumann Algebras from Cusp Forms Acting on Holomorphic Discrete Series
Faculty Advisor: Dietmar Bisch, Vaughan Jones
First Post-Graduate Position: Harvard University

Dunshee, Blake
Ph.D. Thesis: Directedness, Duality, and Parity Conditions for Embedded Graphs
Faculty Advisor: Mark Ellingham
First Post-Graduate Position: Lecturer, Belmont University

Feigenbaum, Ahram
Ph.D. Thesis: Applications of Modular Forms to Geometry and Interpolation Problems
Faculty Advisor: Doug Hardin
First Post-Graduate Position:

Jacobson, Bryan
Ph.D. Thesis: Two Projects on Equations Over Generalizations of Hyperbolic Groups
Faculty Advisor: Denis Osin
First Post-Graduate Position:

Khan, Krishnendu
Ph.D. Thesis: Fundamental Groups of Certain von Neumann Algebras
Faculty Advisor: Alexander Olshansky, Jesse Peterson
First Post-Graduate Position: Visiting Assistant Professor, University of Iowa

Huang, Longxiu
Ph.D. Thesis: Dynamical Sampling and its Applications
Faculty Advisor: Akram Aldroubi
First Post-Graduate Position: Postdoctoral Fellow at the University of California, Los Angeles

Leshen, Sara
Ph.D. Thesis: Balian-Low Type Results for Gabor-Schauder Bases
Faculty Advisor: Alexander Powell
First Post-Graduate Position: Assistant Teaching Professor at Rutgers University

Li, Shiying
Ph.D. Thesis: Adaptive Methods and Collocation by Splines for Solving Differential Equations
Faculty Advisor: Larry Schumaker, Mike Neamtu
First Post-Graduate Position: Postdoctoral Research Associate, Dept of Biomedical Engineering, Univ of Virginia

Nikkel, Jordan
Ph.D. Thesis:On Extending Stallings 2-Cores of Diagram Groups to R. Thompson’s Group T and Jones Subgroup of T
Faculty Advisor: Mark Sapir
First Post-Graduate Position: Visiting Assistant Professor at Christian Brothers University

Solava, Ryan
Ph.D. Thesis: Fine Structure of 3-Connected, K_{2,t}-Minor-free Graphs
Faculty Advisor: Mark Ellingham
First Post-Graduate Position: Assistant Professor at St. Mary’s College

Sun, Bin
Ph.D. Thesis: Cohomology of Group Theoretic Dehn Fillings
Faculty Advisor: Denis Osin
First Post-Graduate Position: Postdoctoral Fellow at University of California, Riverside

Villalobos Guillen, Cristobal
Ph.D. Thesis: A Measure Theoretic Approach for the Recovery of Remanent Magnetizations
Faculty Advisor: Doug Hardin
First Post-Graduate Position: Postdoctoral Fellow at the Ecole Poytechnique, Paris

Balasubramanya, Sahana Hassan
Ph.D. Thesis: Hyperbolic Structures on Groups
Faculty Advisor: Denis Osin
First Post-Graduate Position: Visiting Assistant Professor at University of North Carolina, Greensboro

Darbinyan, Arman
Ph.D. Thesis: The Word and Conjugacy Problems of Lacunary Hyperbolic Groups
Faculty Advisor: Alexander Olshanskiy
First Post-Graduate Position: Postdoctoral Fellow at Ecole Normale Superieure, Paris

Gaslowitz, J. Zachary
Ph.D. Thesis: Characterizations of Graphs Without Certain Samall Minors
Faculty Advisor: Mark Ellingham
First Post-Graduate Position: Instructor at Proof School, San Fransisco

Gui, Bin
Ph.D. Thesis: A Unitary Tensor Product Theory for Unitary Vertex Operator Algebra Modules
Faculty Advisor: Vaughan Jones
First Post-Graduate Position: Postdoctoral Fellow at Rutgers University

O’Connell, Kelly
Ph.D. Thesis: Characterization and Hamiltonicity of K_{1,1,t}–Minor-free Graphs: A Fan-based Approached
Faculty Advisor: Mark Ellingham
First Post-Graduate Position: Data Scientist at Iwoca, London

Vlasiuk, Oleksandr
Ph.D. Thesis: Riesz Energy Functionals and Their Applications
Faculty Advisor: Edward Saff
First Post-Graduate Position: Postdoctoral Fellow at Florida State University

Das, Sayan
Ph.D. Thesis: Poisson Boundaries of Finite von Neumann Algebras
Faculty Advisor: Jesse Peterson, Vaughan Jones
First Post-Graduate Position: Visiting Assistant Professor at University of Iowa

Klaus, Colin
Ph.D. Thesis: Interior Regularity for Parabolic Variational Problems of 1-Laplacian Type and Multi-Scale Homogenization, Finite Element Modeling of Biological Diffusion, Especially of Cone Photoreceptors in Visual Transduction
Faculty Advisor: Emmanuele DiBenedetto
First Post-Graduate Position: Postdoctoral Fellow at The Ohio State University

Lee, Chang Hsin
Ph.D. Thesis: Analysis of Signal Reconstruction Algorithm Based on Consistency Constraints
Faculty Advisor: Alexander Powell
First Post-Graduate Position: Data Scientist – Lowe’s Home Improvement

Michaels, Timothy
Ph.D. Thesis: Node Generation on Surfaces and Bounds on Minimal Riesz Energy
Faculty Advisor: Doug Hardin, Edward Saff
First Post-Graduate Position: Senior Data Scientist, CarMax, Richmond, Virginia

Petrosyan, Armenak
Ph.D. Thesis: Dynamical Sampling and Systems of Vectors from Iterative Actions of Operators
Faculty Advisor: Akram Aldroubi
First Post-Graduate Position: Postdoctoral Research Associate at Oak Ridge National Laboratory

Ren, Yunxiang
Ph.D. Thesis: Skein Theory of Planar Algebras and Some Applications
Faculty Advisor: Vaughan Jones
First Post-Graduate Position: Postdoctoral Research Associate at University of Tennessee in Knoxville

Corson, Samuel
Ph.D. Thesis: Age-Subgroups and Quotients of Fundamental Groups
Faculty Advisor: Mark Sapir
First Post-Graduate Position: Postodoctoral Fellow at Universidad del Pais Vasco, Spain

Jiang, Jiayi
Ph.D. Thesis: Quantization in Signal Processing with Frame Theory
Faculty Advisor: Alexander Powell
First Post-Graduate Position: Senior Algorithm Developer–Hiscene in Shanghai

Jones, Corey
Ph.D. Thesis: Annular Representation Theory with Applications to Approximation and Rigidity Properties for Rigid C*-Tensor Categories
Faculty Advisor: Vaughan Jones
First Post-Graduate Position: Postdoctoral Fellow at Australian National University

Norhington V, Michael
Ph.D. Thesis: Balian-Low Type Theorems for Shift-Invariance Spaces
Faculty Advisor: Alexander Powell, Doug Hardin
First Post-Graduate Position: Postdoctoral Fellow at Georgia Institute of Technology

Su, Yujian
Ph.D. Thesis: Discrete Minimal Energy on Flat Tori and Four-Point Maximal Polarization in S^2
Faculty Advisor: Doug Hardin

Tang, Sui
Ph.D. Thesis: Dynamical Sampling
Faculty Advisor: Akram Aldroubi
First Post-Graduate Position: Assistant Research Scientist and Senior Lecturer at Johns Hopkins University

Wen, Chenxu
Ph.D. Thesis: Amenable Extensions in II_1 Factors
Faculty Advisor: Jesse Peterson
First Post-Graduate Position: Postdoctoral Fellow at Harbin Institute of Technology, China

Gao, Min
Ph.D. Thesis: Age-Structured Population Models with Applications
Faculty Advisor: Glenn F. Webb
First Post-Graduate Position: Data Scientist- NTT Data

Liu, Zhengwei
Ph.D. Thesis: Skein Theory for Subfactor Planar Algebras
Faculty Advisor: Vaughan Jones
First Post-Graduate Position: Postdoctoral Fellow Harvard University

Shao, Yuanzhen
Ph.D. Thesis: Theory of Parabolic Differential Equations on Singular Manifolds and its Applications to Geometric Analysis
Faculty Advisor: Gieri Simonett
First Post-Graduate Position: Golomb Visiting Assistant Professor Purdue University

Chong, Fan Fei
Ph.D. Thesis: E-theory for L^p-Algebras and the Dual Novikov Conjecture
Faculty Advisor: Gennadi Kasparov
First Post-Graduate Position: Statistical Programmer Specialist – Tennessee Department of Health

Davis, Jacqueline
Ph.D. Thesis: Spatio-temporal Trade-off for Quasi-uniform Sampling of Signals in Evolutionary Systems
Faculty Advisor: Akram Aldroubi
First Post-Graduate Position: Postdoctoral Fellow Arizona State University

Huo, Xi
Ph.D. Thesis: A Disease Age Structured Model of Epidemic Population Dynamics with Public Health Interventions
Faculty Advisor: Glenn F. Webb
First Post-Graduate Position: Postdoctoral Fellow – Ryerson University, Toronto, Canada

Liao, Naian
Ph.D. Thesis: Topics on a Logarithmic Diffusion Equation
Faculty Advisor: Emmanuele DiBenedetto
First Post-Graduate Position: Assistant Professor-Chongqing University, China

Marshall, Emily
Ph.D. Thesis: Hamiltonicity and Structure of Classes of Minor-Free Graphs
Faculty Advisor: Mark Ellingham
First Post-Graduate Position: Postdoctoral Fellow – Louisiana State University

Smedberg, Matthew
Ph.D. Thesis: Neccessary Conditions for Finite Decidability in Locally Finite Varieties Admitting Strongly Abelian Behavior
Faculty Advisor: Ralph McKenzie
First Post-Graduate Position: Senior Professional Development Specialist at Reasoning Mind, Houston, TX

Bosuwan, Nattapong
Ph.D. Thesis: Two Problems in Asymptotic Analysis Pade’-Orthogonal Approximation and Riesa-Polarization Constants
Faculty Advisor: Ed Saff
First Post-Graduate Position: Lecturer-Mahidol University, Thailand

Camp, Wes
Ph.D. Thesis: Graph Separators and Boundaries of Right-Angled Artin and Coxeter Groups
Faculty Advisor: Michael Mihalik
First Post-Graduate Position: Statistician at AdvanceMed

Hull, Michael
Ph.D. Thesis: Properties of Acylindrically Hyperbolic Groups and Their Small Cancellation Quotients
Faculty Advisor: Denis Osin
First Post-Graduate Position: Research Asst. Professor-University of Illinois-Chicago

Kent, Curtis
Ph.D. Thesis: Topological Properties of Asymptotic Cones
Faculty Advisor: Mark Sapir
First Post-Graduate Position: Postoctoral Fellow- University of Toronto

Spaeth, Anneliese
Ph.D. Thesis: A Determination of the Existence of Various Types of Positive Systems in LP
Faculty Advisor: Alexander Powell
First Post-Graduate Position: Assistant Professor-Huntingdon College, Alabama

Wires, Alexander
Ph.D. Thesis: Some Results in Universal Algebra
Faculty Advisor: Ralph McKenzie
First Post-Graduate Position: Postdoctoral Fellow- University of Waterloo

Wu, Jianchao
Ph.D. Thesis: The Novikov Conjecture, the Group of Volume Preserving Diffeomorphisms and Non-positively Curved Hilbert Manifolds
Faculty Advisor: Guoliang Yu
First Post-Graduate Position: Postdoctoral Fellow-University of Munster

Young, William
Ph.D. Thesis: An Investigation of Residuated Lattices with Modal Operators
Faculty Advisor: Constantine Tsinakis
First Post-Graduate Position: Visiting Assistant Professor-Huntingdon College, Alabama

Zhou, Dapeng
Ph.D. Thesis: The Coarse Baum-Connes Conjecture and Controlled Operator K-Theory
Faculty Advisor: Guoliang Yu
First Post-Graduate Position: Postdoctoral position-East China Normal University

Boatman, Nicholas
Ph. D. Thesis: Partial-Burnside Groups
Faculty Advisors: Alexander Y. Olshanskiy
First Post-Graduate Position: Actuarial Assistant-American General Life and Accident Insurance Co.

Chaynikov, Vladimir
Ph.D. Thesis: Properties of Hyperbolic Groups: Free Normal Subgroups Quasiconvex Subgroups and Actions at Maximal Growth
Faculty Advisor: Alexander Y. Olshanskiy
First Post-Graduate Position: Lecturer position-Central Michigan University

Chen, Xuemei
Ph. D. Thesis: Stability of Compressed Sensing for Dictionaries and Almost Sure Convergence Rafte for Kaczmarz Algorithm
Faculty Advisors: Akram Aldroubi, Alex Powell
First Post-Graduate Position: Postdoctoral position -University of Maryland

Kapitanov, Georgi
Ph. D. Thesis: A Mathematical Model of Cancer Stem Cell Lineage Population Dynamics with Mutation Accumulation and Telomere Length Hierarchies
Faculty Advisors: Glenn F. Webb
First Post-Graduate Position: Postdoctoral position -Purdue University

LeCrone, Jeremy
Ph. D. Thesis: On the Axisymmetric Surface Diffusion Flow
Faculty Advisors: Gieri Simonett
First Post-Graduate Position: Postdoctoral position -Vanderbilt University

Schroeder, Justin
Ph. D. Thesis: Hamilton Cycle Embeddings of Complete Tripartite Graphs and Their Applications
Faculty Advisors: Mark Ellingham
First Post-Graduate Position: Lecturer – George Mason University

Sekmen, Ali
Ph. D. Thesis: Subspace Clustering and High-Dimensional Data Analysis
Faculty Advisors: Akram Aldroubi
First Post-Graduate Position: Professor – Tennessee State University

Wang, Lujun
Ph. D. Thesis: Trivariate Polynomial Splines on 3D T-Meshes
Faculty Advisors: Larry Schumaker
First Post-Graduate Position: Senior Software Engineer-Integraph Corporation

Davis, Tara
Ph. D. Thesis: Subgroup Distortion in Metabelian and Free Nilpotent Groups
Faculty Advisor: Alexander Y. Olshanskiy
First Post-Graduate Position: Postdoctoral position – Hawaii Pacific University/Honolulu

Sinclair, Thomas
Ph. D. Thesis: Deformations of II₁ Factors with Applications to their Structural Theory
Faculty Advisors: Dietmar Bisch and Jesse Peterson
First Post-Graduate Position: Postdoctoral position -University of California, Los Angeles

Wang, Haichao
Ph. D. Thesis: Topics on Shift-Invariant Spaces with Extra Invariance
Faculty Advisor: Akram Aldroubi
First Post-Graduate Position: Postdoctoral position- University of California, Davis

Wang, Hang
Ph. D. Thesis: L²-Index Formula for Proper Cocompact Group Actions
Faculty Advisor: Gennadi Kasparov
First Post-Graduate Position: Postdoctoral position-Mathematical Sciences @ Tsinghua University

Fitzpatrick, Justin
Ph. D. Thesis: The Geometry of Optimal and Near-Optimal Riesz Energy Configurations
Faculty Advisor: Doug Hardin
First Post-Graduate Position: Lecturer- Vanderbilt University

Lopez, Abey
Ph. D. Thesis: Two Problems in Computational Mathematics: Multiple Orthogonal Polynomials and Greedy Energy Points
Faculty Advisor: Edward Saff
First Post-Graduate Position: Postdoctoral position – University of Leuven in Belgium

Acosta, Ernesto
Ph. D. Thesis: Optimal Non-Linear Signal Models and Stability of Sampling Reconstruction
Faculty Advisor: Akram Aldroubi
First Post-Graduate Position: deceased

Calef, Matt
Ph. D. Thesis: Theorectical and Computational Investigations of Minimal Energy Problems
Faculty Advisor: Doug Hardin
First Post-Graduate Position: Postdoctoral position – Los Alamos National Laboratory

Kozakova, Iva
Ph. D. Thesis: Percolation and Ising Model on Tree-Like Graphs
Faculty Advisor: Mark Sapir

Nica, Bogdan
Ph. D. Thesis: Spectral Morphisms, K-Theory, and Stable Ranks
Faculty Advisor: Guoliang Yu
First Post-Graduate Position: Postdoctoral position – University of Victoria

Jennings, David
Ph. D. Thesis: Topological Algebras and q-Undemanding Varieties
Faculty Advisor: Steven Tschantz
First Post-Graduate Position: Education Director – C2 Education – Bowie

Nowak, Piotr
Ph. D. Thesis: Property A as Metric Amenability and its Applications to Geometry
Faculty Advisor: Guoliang Yu
First Post-Graduate Position: Postdoctoral position – Texas A&M University

Spakula, Jan
Ph. D. Thesis: K-Theory of Uniform Roe Algebras
Faculty Advisor: Guoliang Yu
First Post-Graduate Position: Postdoctoral position – Westfaelische Wilhelms – Universitaet Muenster

Callender, Hannah
Ph. D. Thesis: Mathematical Modeling of Species-Specific Diacylglycerol Dynamics in the RAW 264.7 Macrophage Following P2Y_6 Receptor Activation by Uridine 5′-Dihosphate
Faculty Advisor: Mary Ann Horn
First Post-Graduate Position: Postdoctoral position – IMA, University of Minnesota

Futamura, Fumiko
Ph. D. Thesis: Symmetrically Localized Frames, Localized Operators and Their Application to the Construction of Localized Hilbert and Banach Frames
Faculty Advisor: Akram Aldroubi
First Post-Graduate Position: Tenure-track position – Southwestern University

Hinow, Peter
Ph. D. Thesis: Partial Differential Equation Models for Intranuclear Diffusion, Inverse Problems in Nanobiology and Cell Cycle Specific Effects of Anticancer Drugs
Faculty Advisors: Philip Crooke and Glenn Webb
First Post-Graduate Position: Postdoctoral position – IMA, University of Minnesota

Lambert, Thomas Paul
Ph. D. Thesis: On the Classification of Closed Flat Four-Manifolds
Faculty Advisor: John Ratcliffe

Leonetti, Casey
Ph. D. Thesis: Reconstruction from Error-Affected Data in Shift-Invariant Spaces
Faculty Advisor: Akram Aldroubi
First Post-Graduate Position: Boston Consulting Group

Shan, Lin
Ph. D. Thesis: Equivariant Index Theory and Non-positively Curved Manifolds
Faculty Advisor: Guoliang Yu
First Post-Graduate Position: Postdoctoral position – Westfaelische Wilhelms – Universitaet Muenster

Yattselev, Maxym
Ph. D. Thesis: Non-Hermitian Orthogonality and Meromorphic Approximation
Faculty Advisor: Edward Saff
First Post-Graduate Position: Postdoctoral position – INRIA in France

Babenko, Yuliya
Ph. D. Thesis: On the Asymptotic Behavior of the Optimal Error of Spline Interpolation of Multivariate Functions
Faculty Advisor: Larry Schumaker
First Post-Graduate Position: Tenure-track position – Sam Houston University

Biebighauser, Daniel
Ph. D. Thesis: Generalizations of Hamiltonicity for Embedded Graphs
Faculty Advisor: Mark Ellingham
First Post-Graduate Position: Tenure-track position – Concordia College in Moorhead MN

Borodachov, Sergiy
Ph. D. Thesis: Asymptotic Results for the Minimum Energy and Best Packing Problems on Rectifiable Sets
Faculty Advisor: Edward Saff
First Post-Graduate Position: Postdoctoral position – Georgia Tech

Mina-Diaz, Erwin
Ph. D. Thesis: Asymptotics for Faber Polynomials and Polynomials Orthogonal over Regions in the Complex Plane
Faculty Advisor: Edward Saff
First Post-Graduate Position: Postdoctoral position – Indiana Purdue Fort Wayne

Mirani, Mozhgan
Ph. D. Thesis: Classical Trees and Ultrametric Spaces
Faculty Advisor: Bruce Hughes
First Post-Graduate Position: Sewanee University of the South

Muranov, Aliaksei
Ph. D. Thesis: On Geometry and Combinatorics of Van Kampen Diagrams
Faculty Advisor: Alexander Olshanskii
First Post-Graduate Position: Postdoctoral positon – Camille Jordan

Zhao, Yan
Ph. D. Thesis: A Model for Strep Throat Infection: Dynamics of Contingency Gene Selection in an Infected Host
Faculty Advisor: Glenn F. Webb
First Post-Graduate Position: Adjunct Lecturer – Greenville Tech College

Zhong, Changyong
Ph. D. Thesis: Multiplication Operator and M-Berezin Transforms
Faculty Advisor: Dechao Zheng
First Post-Graduate Position: Georgia State University

Minasyan, Ashot
Ph. D. Thesis: On Quasiconvex Subsets of Hyperbolic Groups
Faculty Advisor: Alexander Olshanskii
First Post-Graduate Position: Postdoctoral position – University of Geneva in Switzerland

Sonkin, Dmitry
Ph. D. Thesis: On Groups with Large Exponents n and n-Periodic Products
Faculty Advisor: Alexander Olshanskii
First Post-Graduate Position: Postdoctoral position – University of Virginia

Kozik, Marcin
Ph. D. Thesis: On Some Coplexity Problems in Finite Algebra
Faculty Advisor: Ralph MacKenzie
First Post-Graduate Position: Jagiellonian University

Sorokina, Tatyana
Ph. D. Thesis: Multivariate C1 Macro-elements
Faculty Advisor: Larry Schumaker
First Post-Graduate Position: University of Georgia

Stephens, Christopher
Ph. D. Thesis: The Nonorientable Genus of the Complete Tripartite Graph
Faculty Advisor: Mark Ellingham
First Post-Graduate Position: Tenure-track position – Middle Tennessee State University

Alewine, J. Alan
Ph. D. Thesis: An Inductive Limit Topology on the Denjoy Space
Faculty Advisor: Eric Schechter
First Post-Graduate Position: McKendree College in Ohio

Bruff, Derek
Ph. D. Thesis: Wavelets on Nonuniform Knot Sequences
Faculty Advisor: Doug Hardin
First Post-Graduate Position: Harvard Univeristy

Galatos, Nikolaos
Ph. D. Thesis: Varieties of Residuated Lattices
Faculty Advisor: Constantine Tsinakis
First Post-Graduate Position: Postdoctoral position – Japan Advanced Institute

Gaston, Dana
Ph. D. Thesis: Separating Cycles in Triangulations of the Double Torus
Faculty Advisor: Mark Ellingham

Markovic, Petar
Ph. D. Thesis: Strongly Nilpotent Finite Algebras
Faculty Advisor: Ralph McKenzie
First Post-Graduate Position: University of Novi Sad

Rayevskaya, Vera
Ph. D. Thesis: N-sided Macro-element Spaces and Local Lagrange Interpolation for Splines and Triangulations
Faculty Advisor: Larry Schumaker
First Post-Graduate Position: University of Northern Iowa

Silkin, Nikolay
Ph. D. Thesis: On Connectivity at Infinity of the Extended Lamplighter Group
Faculty Advisor: Mike Mihalik
First Post-Graduate Position: Grinnell College

Bahls, Charles Patrick
Ph. D. Thesis: Even Rigidity in Coxeter Groups
Faculty Advisor: Mike Mihalik

Cole, Jac
Ph. D. Thesis: Residuated Lattice Orderings on Cancellative Monoids
Faculty Advisor: Constantine Tsinakis

Greer, Merh Lynn
Ph. D. Thesis: A Population Model of Prion Dynamics
Faculty Advisor: Glenn Webb

King, Erica Cox
Ph. D. Thesis: Characterizing and Comparing Some Subclasses of Well-Covered Graphs
Faculty Advisor: Michael Plummer

Maroti, Miklos
Ph. D. Thesis: The Variety Generated by Tournaments
Faculty Advisor: Ralph McKenzie

O’Hara, Karen Bradford
Ph. D. Thesis: A Model of HIV-1 Disease Progression and Treatment: The Subclass of Latently Infected CD4+ T Cells becomes Undetectable when both IL-2 and HAART are used
Faculty Advisor: Glenn Webb

Lin, Amy Hsiao-Chun
Ph. D. Thesis: The Dynamics of the Interactions between Solid Tumors and Lymphocytes: A Deterministic Model
Faculty Advisor: Glenn Webb

Stewart, Sarah Ann
Ph. D. Thesis: Some Families of Subnormal Operators with Finite Rank Self-Commutators
Faculty Advisor: Daoxing Xia

Gramling, Karen Ann Linton
Ph. D. Thesis: Interassociates of Cyclic and Free Semigroups
Faculty Advisor: Matthew Gould

Howard, Keith Eugene
Ph. D. Thesis: Size and Maturity Structured Models of Cell Population Dynamics Chaotic Behavior
Faculty Advisor: Glenn Webb

Morton, Tanya May
Ph. D. Thesis: Error Bounds for Solving Pseudodifferential Equations on Spheres by Collocation with Zonal Kernals
Faculty Advisor: Larry Schumaker

Blount, Kevin Kendall
Ph. D. Thesis: On the Structure of Residuated Lattices
Faculty Advisor: Constantine Tsinakis

Dinsenbacher, Thomas Brian
Ph. D. Thesis: Multivariate Nonhomogeneous Refinement: Existence, Uniqueness, Regularity and Application to Image Compression
Faculty Advisor: Doug Hardin

Timar, Charles Cary
Ph. D. Thesis: Spanning Walks in Infinite Planar Graphs
Faculty Advisor: Mark Ellingham

Assaf, David, IV
Ph. D. Thesis: The Sensitivity of Spline Functions on Triangulations to Vertex Perturbation
Faculty Advisor: Larry Schumaker

Dishman, Laurie Gail Plunk
Ph. D. Thesis: Interassociativity and Strong Interassociativity
Faculty Advisor: Matthew Gould

Hota, Sanjukta
Ph. D. Thesis: Mathematical Models of Respiratory Function
Faculty Advisor: Philip Crooke

Johnson, Michael Eugene
Ph. D. Thesis: Resonances in Periodic Chemotherapy Scheduling: Age Structured Models
Faculty Advisor: Glenn Webb

Snow, John William
Ph. D. Thesis: Relations on Algebras and Varieties as Catagories
Faculty Advisor: Ralph McKenzie

Beshears, Aaron Christian
Ph. D. Thesis: G-Isovariant Structure Sets and Stratified Structure Sets
Faculty Advisor: Bruce Hughes

Burton, David Bryant
Ph. D. Thesis: On Hyponormal Tuples of Commuting Operators with Finite Rank Self-Commutators
Faculty Advisor: Daoxing Xia

Kessler, Walter Bruce
Ph. D. Thesis: Construction of Orthogonal Compactly-Supported Scaling Functions and Multiwavelets on Arbitrary Meshes
Faculty Advisor: Doug Hardin

Lee, Hoseung
Ph. D. Thesis: Recognizable Elements of Quantales: A Result of Myhill Revisited
Faculty Advisor: Constantine Tsinakis

Menser, David Kirk
Ph. D. Thesis: Lower Bounds on the Circumference of Graphs in Terms of Girth and Degree Conditions
Faculty Advisor: Mark Ellingham

Roach, David William
Ph. D. Thesis: Multiwavelet Prefilters: Orthogonal Prefilters Preserving Approximation Order p<=3
Faculty Advisor: Doug Hardin

Talbert, Robert N.
Ph. D. Thesis: Stratified and Equivariant Homology via Homotopy Colimits
Faculty Advisor: Bruce Hughes/Stratos Prassidis

Vandergriff, Jim
Ph. D. Thesis: Contributions to the Class Number Problem for Real Quadratic Number Fields
Faculty Advisor: Richard Arenstof

Cotten, Deborah Lynne
Ph. D. Thesis: Stone-Type Categorical Equivalences in Semantics of Programming Languages
Faculty Advisor: Constantine Tsinakis

Marasovich, Jeffrey Allen
Ph. D. Thesis: Biorthogonal Multiwavelets
Faculty Advisor: Doug Hardin

Rafter, Lori Henslee
Ph. D. Thesis: Order Semantics of Linear Logic
Faculty Advisor: Constantine Tsinakis

Stanley, Sonya Faith Stephenson
Ph. D. Thesis: Quasi-Interpolation with Trigonometric Splines
Faculty Advisor: Larry Schumaker

Fasshauer, Gregory Eric
Ph. D. Thesis: Radial Basis Functions on Spheres
Faculty Advisor: Larry Schumaker

Rickert, John Phillip
Ph. D. Thesis: On the Simple Connectivity at Infinity of Out F*
Faculty Advisor: Steven Tschantz

Brugh, Sherri Lynn Mann
Ph. D. Thesis: The Balanced Projective Dimension of Torsion-Free Abelian k-Groups
Faculty Advisor: Charles Megibben

Rafter, John Arthur, Jr.
Ph. D. Thesis: A Partial Characterization of Canonical Conjugate Varieties of Modal Algebras
Faculty Advisor: Bjarni Jönsson

Ramey, Jonathan Edward
Ph. D. Thesis: Well-Covered Graphs with Maximum Degree Three and Minimal Non-Well-Covered Graphs
Faculty Advisor: Mark Ellingham

Wildsmith, Amy Lynne
Ph. D. Thesis: Interassociativity of Clifford Semigroups and Cyclic Semigroups
Faculty Advisor: Matthew Gould

Al-Khayer, Adnan
Ph. D. Thesis: One and Two Compartments Mathematical Models of Mechanical Ventilation
Faculty Advisor: Philip Crooke

Boyd, Sheri Renee Jordan
Ph. D. Thesis: Interassociativity
Faculty Advisor: Matthew Gould

Fryd, Martin
Ph. D. Thesis: Taylor Invertibility for Commuting Operator n-Tuples in Hilbert Space
Faculty Advisor: Daoxing Xia

Bass, Thomas Preston, Jr.
Ph. D. Thesis: Globals of Graph Algebras
Faculty Advisor: Steven Tschantz

Brewer, Lora Lee
Ph. D. Thesis: A Study of the Motion of Zeros of the Epstein Zeta Function Associated to m^2+y^2n^2 as y varies from 1 to [Square Root of] 6
Faculty Advisor: Richard Arenstof

Jipsen, Peter
Ph. D. Thesis: Computer Aided Investigations of Relation Algebras
Faculty Advisor: Bjarni Jönsson

Markus, Lisa Rosann
Ph. D. Thesis: Degree, Neighborhood and Claw Conditions versus Traversability in Graphs
Faculty Advisor: Michael Plummer

Hart, James Buford
Ph. D. Thesis: Decompositions for Relatively Normal Lattices
Faculty Advisor: Constantine Tsinakis

Haynes, Todd Michael
Ph. D. Thesis: The Isomorphism Problem for Two-Generator, One-Relator Groups with Relator of Length Ten or Less
Faculty Advisor: John Ratcliffe

Lyon, Bradford Franklin
Ph. D. Thesis: On Zeta Functions Associated to the Product of Two Eisenstein Series, and Their SL(2,Z)-Spectral Expansions
Faculty Advisor: Richard Arenstof

Pinter, Michael Raymond
Ph. D. Thesis: W* Graphs and Strongly Well-Covered Graphs: Two Well-Covered Graph Subclasses
Faculty Advisor: Michael Plummer

Rossa, Bernd Erich
Ph. D. Thesis: Asynchronous Exponential Growth of Linear C*-Semigroups and a New Tumor Cell Population Model
Faculty Advisor: Glenn Webb

Shirley, Kevin Lynn
Ph. D. Thesis: A Scalar-Valued Analytic Model for a Class of Subnormal Operators
Faculty Advisor: Daoxing Xia

Aluthge, Ariyadasa
Ph. D. Thesis: Properties of p-Hyponormal Operators
Faculty Advisor: Daoxing Xia

Jones, Joel Lynn
Ph. D. Thesis: The Concordance Extension Theorem
Faculty Advisor: Bruce Hughes

Knisley, Jeff Randell
Ph. D. Thesis: The Analytic Model of a Semi-Hyponormal Operator with Rank One Polar Distance
Faculty Advisor: Daoxing Xia

Yu, Xingxing
Ph. D. Thesis: Contractible edge covers in 3-connected graphs
Faculty Advisor: Robert Hemminger

Hall, Gary Clark
Ph. D. Thesis: An Age-Size Cell Model with Asymptotic Exponential Periodicity in the Asymmetric Case
Faculty Advisor: Glenn Webb

Lukacs, Erzsebet
Ph. D. Thesis: Related Structures of Groups
Faculty Advisor: Matthew Gould

Rayburn, Paula Nell Kimmins
Ph. D. Thesis: Local Refinements of Connectivity
Faculty Advisor: Robert Hemminger

Snodgrass, James Tutt, III
Ph. D. Thesis: Completely Normal Lattices
Faculty Advisor: Constantine Tsinakis

Wiener, Howard William
Ph. D. Thesis: On an Exterior Laplace Equation Problem with Robin Boundary Condition
Faculty Advisor: John Anher

Profio, Joseph Samuel
Ph. D. Thesis: Using Sub-Normality to Show the Simple Connectivity at Infinity of a Finitely Presented Group
Faculty Advisor: Mike Mihalik

Biles, Daniel Craig
Ph. D. Thesis: Existence and Continuous Dependence of Solutions of Discontinuous Differential Equations
Faculty Advisor: Eric Schechter

Calmelet, Colette Jeanne
Ph. D. Thesis: Stability and Special Solutions to the Conducting Dusty Gas Model
Faculty Advisor: Philip Crooke

Campbell, Stephen Roger
Ph. D. Thesis: Some Results on Planar Well-Covered Graphs
Faculty Advisor: Michael Plummer

Dean, Nathaniel
Ph. D. Thesis: Contractible Edges and Conjectures about Path and Cycle Numbers
Faculty Advisor: Robert Hemminger

Kang, Young Yug
Ph. D. Thesis: Joins of Finitely Based Lattice Varieties
Faculty Advisor: Bjarni Jönsson

Lane, Mark Timothy
Ph. D. Thesis: The Third Axiom of Countability Characterization of Balanced Projective Abelian Groups and Applications
Faculty Advisor: Charles Megibben

Chyan, Chuan Jen
Ph. D. Thesis: Two Linear Population Models and Their Associated Semigroups
Faculty Advisor: Glenn Webb

Lenbury, Yongwimon Wiriyawit
Ph. D. Thesis: Modelling Fermentation Processes
Faculty Advisor: Philip Crooke

Patching, David Steven
Ph. D. Thesis: Hyperspaces of Some Direct Limit Spaces
Faculty Advisor: Richard Heisey

Barr, Thomas Harold
Ph. D. Thesis: Spline Approximation for a Problem in Age-Dependent Population Dynamics
Faculty Advisor: Glenn Webb

Iskra, Joseph Aloysius
Ph. D. Thesis: Globals of Semigroups
Faculty Advisor: Matthew Gould

Lee, Jeh Gwon
Ph. D. Thesis: Almost Distributive Lattice Varieties
Faculty Advisor: Bjarni Jönsson

Cyphert, Daniel Scott
Ph. D. Thesis: Generalized Functions of Bounded Variation and Their Application to the Theory of Harmonic Functions
Faculty Advisor: John Kelingos

Gannaway, John Richard
Ph. D. Thesis: Determination of All Central Configurations in the Planar 4-Body Problem with One Inferior Mass
Faculty Advisor: Richard Arenstof

Hale, Margaret Anne
Ph. D. Thesis: Homeomorphisms of Some Direct Limit Spaces
Faculty Advisor: Richard Heisey

Collier, Manning Gary
Ph. D. Thesis: Contributions to the Theory of Generalized Distributions
Faculty Advisor: John Kelingos

Cope, Davis
Ph. D. Thesis: Limit Cycle Solutions of Reaction-Diffusion Equations
Faculty Advisor: Robert Miura

Dean, Arnold
Ph. D. Thesis: Stability of Compactness of Resolvents and of Strongly Continuous Semigroups
Faculty Advisor: Glenn Webb

Johnston, Katherine Gay
Ph. D. Thesis: Congruence Lattices of Rees Matrix Semigroups
Faculty Advisor: James Nation

Rose, Henry
Ph. D. Thesis: Semidistributive Lattice Varieties
Faculty Advisor: Bjarni Jönsson

Mullins, Sarah Ella
Ph. D. Thesis: Asymptotic Behavior for Solutions of Nonlinear Systems of Parabolic Equations
Faculty Advisor: Charles Kahane

Richardson, Raymond Earl
Ph. D. Thesis: Globally Idempotent and Weakly Reductive Pairs of Polynomially Related Semigroups
Faculty Advisor: Matthew Gould

Ezell, Cloyd Lee, Jr.
Ph. D. Thesis: Combinatorial Construction of Topologically Analytic Maps
Faculty Advisor: Morris Marx

Forde, James Lowell
Ph. D. Thesis: On Continuous Rings
Faculty Advisor: Charles Megibben

James, Helen Marie Hutcheson
Ph. D. Thesis: Automorphism Groups of Free Algebras and Direct Powers
Faculty Advisor: Matthew Gould

Mathis, Frank
Ph. D. Thesis: Numerical Solutions to Optimal Control Problems Governed by Functional Differential Equations
Faculty Advisor: George Reddien

Gupton, James Ronald
Ph. D. Thesis: Expansiveness and Weaker Conditions
Faculty Advisor: Billy Bryant

Johnson, David Howard, Jr.
Ph. D. Thesis: A Study of the Distribution of Lattice Points on Three Dimensional Spheres Using the Theory of Modular Functions
Faculty Advisor: Richard Arenstof

Shiflet, Angela Gannon Buzzett
Ph. D. Thesis: Almost Completely Decomposable Groups
Faculty Advisor: Charles Megibben

Appleson, Robert Roy
Ph. D. Thesis: The Cancellation Property for the Direct Product of Finite Structures
Faculty Advisor: Bjarni Jönsson

Fu, Yen-Tzu
Ph. D. Thesis: Perturbation and Approximation Theorems for Semigroups of Non-Linear Operators on Banach Spaces
Faculty Advisor: Glenn Webb

Klerlein, Joseph Ballard
Ph. D. Thesis: Line Dipseudographs
Faculty Advisor: Robert Hemminger

Piegari, George
Ph. D. Thesis: Automorphism and Subalgebra Structure in Universal Algebras
Faculty Advisor: Matthew Gould

Staples, Jo Ann Wade
Ph. D. Thesis: On Some Subclasses of Well-Covered Graphs
Faculty Advisor: Michael Plummer

Staples, Phillip Osborne
Ph. D. Thesis: Distributional Boundary Values for Solutions to Elliptic Differential Equations
Faculty Advisor: John Kelingos

Linton, Ronald Charles
Ph. D. Thesis: Fully Invariant Subgroups of Totally Projective Groups
Faculty Advisor: Charles Megibben, III

Nelson, Donald Arthur
Ph. D. Thesis: On the Structure of Critically 2- and 3-Connected Graphs
Faculty Advisor: Michael Plummer

Rankin, Samuel Murray
Ph. D. Thesis: Oscillation Theory for Second Order Elliptic Partial Differential Equations
Faculty Advisor: Curtis Travis

Strecker, Jutta
Ph. D. Thesis: The Strong Cancellation Property for the Free Product of Bounded Distributive Lattices
Faculty Advisor: Stephen Comer

Bozeman, Robert Edward
Ph. D. Thesis: Periodic Solutions in the Plane Four-Body Problem of Mixed Circular-Elliptic Type
Faculty Advisor: Richard Arenstof

Greenwell, Donald Lee
Ph. D. Thesis: Forbidden Subgraphs
Faculty Advisor: Robert Hemminger

Fitzgibbon, William Edward
Ph. D. Thesis: Nonlinear Cauchy Problems in Banach Spaces
Faculty Advisor: Glenn Webb

Yen, Chi Lin
Ph. D. Thesis: The Convergence, Periodicity, and Rest-Point Behavior of Orbits in Nonlinear Semigroups of Contractions
Faculty Advisor: Glenn Webb

Bell, David Elliott
Ph. D. Thesis: Torsion Theories and Relative Homological Algebra
Faculty Advisor: Charles Megibben

Johns, Baxter
Ph. D. Thesis: The Relation of Certain Annihilator Conditions to Quasi-Frobenius Rings
Faculty Advisor: Charles Megibben

Kinloch, John
Ph. D. Thesis: Generalized Prufer Rings
Faculty Advisor: Charles Megibben

Minor, Lee Hammack
Ph. D. Thesis: Pseudo-Expansive Mappings
Faculty Advisor: Billy Bryant

Goldman, Elizabeth Spencer
Ph. D. Thesis: Generators for Expansive Properties and Their Application to Lifting
Faculty Advisor: Billy Bryant

Hong, Dang Xuan
Ph. D. Thesis: Covering Relations Among Lattice Varieties
Faculty Advisor: Bjarni Jönsson

Linnstaedter, Jerry LeRoy
Ph. D. Thesis: A Generalized Multistage Problem of Bolza in the Calculus of Variations
Faculty Advisor: Moffatt Boyce

Wallace, Kyle David
Ph. D. Thesis: On the Classification and Structure of Abelian Groups
Faculty Advisor: Charles Megibben

Bang, Chang Mo
Ph. D. Thesis: Modules Over Complete Discrete Valuation Rings
Faculty Advisor: Charles Megibben

Coleman, Norman Pendleton, Jr.
Ph. D. Thesis: Projections in Continuous Function Spaces
Faculty Advisor: Lawrence Ratner

Kilgore, Mary Spruill
Ph. D. Thesis: Retracts, Deformations, and Borsuk’s Notion of Shape
Faculty Advisor: Morris Marx

Metts, Isaac Spigner, Jr.
Ph. D. Thesis: A Correcting Process for Solving Differential Equations Numerically by the Predictor-Corrector Method and an Investigation of its Effect on Propagated Error
Faculty Advisor: James Wesson

Wells, Carroll Glenn
Ph. D. Thesis: Weak Homotopy Lifting Properties
Faculty Advisor: Morris Marx

Hill, Edward Teber
Ph. D. Thesis: Ideals in the Modular Group Ring of a p-Group
Faculty Advisor: Donald Coleman

Whaley, Thomas Paul
Ph. D. Thesis: Algebras Satisfying the Descending Chain Condition for Subalgebras
Faculty Advisor: Bjarni Jönsson

Bateman, James Myron
Ph. D. Thesis: Finite Group Algebras with Solvable Unit Groups
Faculty Advisor: Donald Coleman

Wilson, Eric Leroy
Ph. D. Thesis: Loop Isotopy
Faculty Advisor: Billy Bryant

Bailey, Donald Forest
Ph. D. Thesis: On Contractive and Expansive Mappings
Faculty Advisor: Billy Bryant

Nelson, Oscar Tivis, Jr.
Ph. D. Thesis: Subdirect Products of Finite Lattices
Faculty Advisor: Eugene Shanks

Williams, Richard Kelso
Ph. D. Thesis: Expansive Mappings
Faculty Advisor: Billy Bryant

Christy, John Harlan, Jr.
Ph. D. Thesis: Expansive Transformation Groups
Faculty Advisor: Billy Bryant

Depew, Rex Denwil
Ph. D. Thesis: LaGrange Resolvent Transformations of Finite Ordered Point Sets in the Complex Plane
Faculty Advisor: Moffatt Boyce

Jones, William Branham
Ph. D. Thesis: Contributions to the Theory of Thron Continued Fractions
Faculty Advisor: Moffatt Boyce

Carter, Harvey Pate
Ph. D. Thesis: Modular Lattices Induced by Finite Groups
Faculty Advisor: Eugene Shanks

Rouse, Herbert Ronald
Ph. D. Thesis: Topological Dynamics and a Partly Ordered Set of Topologies
Faculty Advisor: Laurence Ratner

Rolf, Howard Leroy
Ph. D. Thesis: The Free Lattice Generated by a Set of Chains
Faculty Advisor: Eugene Shanks

Bryant, Billy Finney
Ph. D. Thesis: Unstable Self-Homeomorphisms of a Compact Space
Faculty Advisor: Lawrence Ratner

Jordon, Thomas Lee, Jr.
Ph. D. Thesis: Generalized Metric Lattices and Lattices of Subgroups
Faculty Advisor: Eugene Shanks

Wesson, James Robert
Ph. D. Thesis: Finite Plane Projective Geometries
Faculty Advisor: Eugene Shanks