{"id":53,"date":"2024-11-01T19:50:49","date_gmt":"2024-11-01T19:50:49","guid":{"rendered":"https:\/\/as.vanderbilt.edu\/newmath2025\/?page_id=53"},"modified":"2026-04-26T17:19:48","modified_gmt":"2026-04-26T17:19:48","slug":"graduate-placements","status":"publish","type":"page","link":"https:\/\/as.vanderbilt.edu\/math\/graduate-placements\/","title":{"rendered":"Placements"},"content":{"rendered":"<p><span id=\"top\" class=\"home-largefont\">Your Success Story Is Waiting\u2026<\/span><\/p>\n<p><span id=\"top\">Our Ph.D. students gain invaluable, hands-on experience in research and teaching, in close partnership with our world-class faculty. They reach great heights in academia and succeed in a wide variety of other careers as well.<\/span><\/p>\n<h3>2026<\/h3>\n<p><strong>Le Gong<\/strong><br \/>\nPh.D. Thesis: <em>Dynamical Sampling for Source Recovery<\/em><br \/>\nFaculty Advisor: Akram Aldroubi<br \/>\nFirst Post-Graduate Position: Tenure track Faculty at Beijing University of Posts and Telecommunications<\/p>\n<p><strong>Yixuan Huang<\/strong><br \/>\nPh.D. Thesis: <em>Hamilton Cycles and\u00a0Cycles Through Specified Vertices in\u00a0Graphs<\/em><br \/>\nFaculty Advisor: Mark Ellingham<br \/>\nFirst Post-Graduate Position: tba<\/p>\n<p><strong>Junhui Lim<\/strong><br \/>\nPh.D. Thesis: <em>Planar Algebras Associated to Cocommuting Squares<\/em><br \/>\nFaculty Advisor: Dietmar Bisch<br \/>\nFirst Post-Graduate Position: Australian National University (MSI Fellow)<\/p>\n<h3>2025<\/h3>\n<p><strong>Katherine Williams Booth (visiting student)<\/strong><br \/>\nPh.D. Thesis: <em>Automorphisms of the Smooth Fine Curve Graph<\/em><br \/>\nFaculty Advisor: Dan Margalit<br \/>\nFirst Post-Graduate Positions: Vanderbilt, SLMath, University of Chicago (NSF postdoc)<\/p>\n<p><strong>Koichi Oyakawa<\/strong><br \/>\nPh.D. Thesis: <em>Bi-exactness of negatively curved groups<\/em><br \/>\nFaculty Advisor: Denis Osin<br \/>\nFirst Post-Graduate Position: McGill University (Postdoctoral position)<\/p>\n<p><strong>Kai Toyosawa<\/strong><br \/>\nPh.D. Thesis: <em>Weak exactness and amalgamated free product of von Neumann algebras<\/em><br \/>\nFaculty Advisor: Jesse Peterson<br \/>\nFirst Post-Graduate Position: Universitaet Muenster (Postdoctoral position)<\/p>\n<p><strong>Runzhang Zhong<\/strong><br \/>\nPh.D. Thesis: <em>The linearized Israel-Stewart Equations with a physical vacuum boundary<\/em><br \/>\nFaculty Advisor: Marcelo Disconzi<br \/>\nFirst Post-Graduate Position: University of Missouri (Postdoctoral position)<\/p>\n<h3>2024<\/h3>\n<p><strong>Julio Caceres<\/strong><br \/>\nPh.D. Thesis: Graph Planar Algebra Embeddings and New A_infinity Subfactors<br \/>\nFaculty Advisor: Dietmar Bisch<br \/>\nFirst Post-Graduate Position: Vanderbilt University (Postdoctoral position)<\/p>\n<p><strong>Aidan Lorenz<\/strong><br \/>\nPh.D. Thesis: <em>Small Dilatation Pseudo-Anosovs Coming from Dehn Fillings of Hyperbolic Fibered 3-Manifolds<\/em><br \/>\nFaculty Advisor: Spencer Dowdall<br \/>\nFirst Post-Graduate Positions: Arka, Susquehanna (AI Software Developer)<\/p>\n<p><strong>Brian Luczak<\/strong><br \/>\nPh.D. Thesis: <em>A Priori Estimates for the Linearized Relativistic Euler Equations with a Physical Vacuum Boundary and an Ideal Gas Equation of State<\/em><br \/>\nFaculty Advisor: Marcelo Disconzi<br \/>\nFirst Post-Graduate Positions: University of Chicago Laboratory School, DePaul University (Teaching Assistant Professor)<\/p>\n<p><strong>Nate Tenpas<\/strong><br \/>\nPh.D. Thesis: <em>Linear Programming Bounds for Periodic Energy Problems<\/em><br \/>\nFaculty Advisor: Doug Hardin<br \/>\nFirst Post-Graduate Position: Industry Position<\/p>\n<p><strong>Min Quan Hoang Vu<\/strong><br \/>\nPh.D. Thesis: On Some Basic Problems of Riesz Kernels in Potential Theory<br \/>\nFaculty Advisor: Ed Saff<br \/>\nFirst Post-Graduate Position:<\/p>\n<h3>2023<\/h3>\n<p><strong>Colin Bloomfield<\/strong><br \/>\nPh.D. Thesis: <em>Fibered Universal Algebra for First-order Logics<\/em><br \/>\nFaculty Advisor: Constantine Tsinakis<br \/>\nFirst Post-Graduate Position: Leidos (Researcher in formal methods)<\/p>\n<p><strong>David Chan<\/strong><br \/>\nPh.D. Thesis: <em>Monoidal Structures in Equivariant Algebra<\/em><br \/>\nFaculty Advisor: Anna Marie Bohmann<br \/>\nFirst Post-Graduate Position: Michigan State University (Postdoctoral position)<br \/>\n<a href=\"https:\/\/sites.google.com\/view\/davidchanmath\" target=\"_blank\" rel=\"noopener\">Personal Website<\/a><\/p>\n<p><strong>Dumindu DeSilva<\/strong><br \/>\nPh.D. Thesis: <em>Von Neumann Equivalence in Deformation Rigidity Theory<\/em><br \/>\nFaculty Advisor: Jesse Peterson<br \/>\nFirst Post-Graduate Position: Annalect (Data scientist)<\/p>\n<p><strong>Changying Ding<\/strong><br \/>\nPh.D. Thesis: <em>Properly proximal groups and von Neumann algebras<\/em><br \/>\nFaculty Advisor: Jesse Peterson<br \/>\nFirst Post-Graduate Position: UCLA (Hedrick Assistant Professor)<br \/>\n<a href=\"https:\/\/cding.me\" target=\"_blank\" rel=\"noopener\">Personal Website<\/a><\/p>\n<p><strong>Andy Jarnevic<\/strong><br \/>\nPh.D. Thesis: <em>A generalization of the distortion function and the asymptotic geometry of subgroups <\/em><br \/>\nFaculty Advisor: Denis Osin<br \/>\nFirst Post-Graduate Position: Velocity Risk Underwriters (Business Intelligence Analyst)<\/p>\n<p><strong>Sam Rizzo<\/strong><br \/>\nPh.D. Thesis: <em>On the moduli space of constant scalar curvature K\u00e4hler metrics on complex surfaces <\/em><br \/>\nFaculty Advisor: Ioana Suvaina<br \/>\nFirst Post-Graduate Position: Willowview Consulting (Data Scientist)<\/p>\n<p><strong>Sifan Yu<\/strong><br \/>\nPh.D. Thesis: <em>Rough solutions of the relativistic Euler equations<\/em><br \/>\nFaculty Advisor: Jared Speck<br \/>\nFirst Post-Graduate Position: National University of Singapore (Postdoctoral Research Fellow)<br \/>\n<a href=\"https:\/\/sites.google.com\/view\/sifanyu\" target=\"_blank\" rel=\"noopener\">Personal Website<\/a><\/p>\n<p><strong>Sumati Thareja<\/strong><br \/>\nPh.D. Thesis: <em>Transport Transforms and their applications in Machine Learning and Data Science<\/em><br \/>\nFaculty Advisor: Akram Aldroubi<br \/>\nFirst Post-Graduate Position: University of Bangalore (Assistant Professor of Mathematics)<\/p>\n\n\n<!-- NEW ACCORDION * AID 1830-->\n\n<div class=\"panel-group VUaccordion_1830\" id=\"accordion\" role=\"tablist\" aria-multiselectable=\"true\">\n\n<!-- NEW PANEL ITEM * ID 10432-->\n\n<div class=\"panel panel-default\"><div class=\"panel-heading\" role=\"tab\" id=\"heading10432\"><h4 class=\"panel-title\"><a name=\"\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion\" href=\"#item10432\" aria-expanded=\"true\" aria-controls=\"item10432\"><i class='pull-right fa fa-chevron-circle-down' aria-hidden='true'><\/i>Historical Placements<\/a><\/h4><\/div><div id=\"item10432\" class=\"panel-collapse collapse\" role=\"tabpanel\" aria-labelledby=\"heading10432\"><div class=\"panel-body\"><h3>2022<\/h3>\r\n\r\n<p><strong>Han, Jiawei<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Growth of Dehn Twist and Pseudo-Anosov Conjugacy Classes in Teichm&uuml;ller Space<\/em><br \/>\r\nFaculty Advisor: Spencer Dowdall<br \/>\r\nFirst Post-Graduate Position: Humana Healthcare (Machine Learning and Data Analysis)<\/p>\r\n\r\n<p><strong>Sledd, Levi<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Small Cancellation and the Assouad-Nagata Dimension of Finitely Generated Groups<\/em><br \/>\r\nFaculty Advisor: Denis Osin<br \/>\r\nFirst Post-Graduate Position: Industry position<\/p>\r\n\r\n<p><strong>Ishan, Ishan<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Von Neumann Equivalence<\/em><br \/>\r\nFaculty Advisor: Jesse Peterson<br \/>\r\nFirst Post-Graduate Position: Visiting assistant professor, University of California Riverside<br \/>\r\nCurrent Position: Postdoc, UC Riverside<\/p>\r\n\r\n<p><strong>Kunnawalkam Elayavalli, Sri<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Free entropy theory and rigid von Neumann algebras<\/em><br \/>\r\nFaculty Advisor: Jesse Peterson<br \/>\r\nFirst Post-Graduate Position: Postdoc, UCLA<br \/>\r\nCurrent Position: Assistant Professor, University of Maryland<\/p>\r\n\r\n<p><strong>Montgomery, Michael<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Angle Operators of Commuting Square Subfactors<\/em><br \/>\r\nFaculty Advisor: Dietmar Bisch<br \/>\r\nFirst Post-Graduate Position: Postdoc, Dartmouth College<\/p>\r\n\r\n<p><strong>Sordillo, Diana<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Cascade Networks, Generalized Neural Networks, and Approximation of Functions<\/em><br \/>\r\nFaculty Advisor: Mike Neamtu<br \/>\r\nFirst Post-Graduate Position: Postdoc, UC Santa Barbara<br \/>\r\nCurrent Position: Visting Assistant Professor, Dartmouth College<\/p>\r\n\r\n<p><strong>Tripp, Zachary<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Ranks, Cranks, and Automorphic Forms<\/em><br \/>\r\nFaculty Advisor: Larry Rolen<br \/>\r\nFirst Post-Graduate Position: Industry position<\/p>\r\n\r\n<p><strong>Chornomaz, Bogdan<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>The Sauer-Shelah-Perles inequality and relatively complemented lattices: the SSP=RC conjecture<\/em><br \/>\r\nFaculty Advisor: Ralph McKenzie<br \/>\r\nFirst Post-Graduate Position: Postdoc, Technion University<\/p>\r\n\r\n<h3>2021<\/h3>\r\n\r\n<p><strong>Ashbrock, Jonathan<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Compressed Representations of Signals and Models<\/em><br \/>\r\nFaculty Advisor: Alexander Powell<br \/>\r\nFirst Post-Graduate Position: Industry position<\/p>\r\n\r\n<p><strong>Gao, Zhen<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>High order low-bit Sigma-Delta quantization for fusion frames and algorithms for hypergraph signal processing<\/em><br \/>\r\nFaculty Advisor: Alexander Powell<br \/>\r\nFirst Post-Graduate Position: Industry position<\/p>\r\n\r\n<p><strong>Jananthan, Hayden<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Complexity and Avoidance<\/em><br \/>\r\nFaculty Advisor: Stephen Simpson<br \/>\r\nFirst Post-Graduate Position: Postdoctoral associate, MIT Lincoln Lab<\/p>\r\n\r\n<p><strong>Stojanovic, Hrvoje<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>New Examples of Irreducible Subfactors of the Hyperfinite II1&nbsp;Factor with Rational, Non-Integer Index&nbsp;<\/em><br \/>\r\nFaculty Advisor: Dietmar Bisch<br \/>\r\nFirst Post-Graduate Position: Data Scientist, Mireo<\/p>\r\n\r\n<p><strong>Wagner, Frank<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Torsion Subgroups of Groups with Quadratic Dehn Function<\/em><br \/>\r\nFaculty Advisor: Alexander Olshanskiy<br \/>\r\nFirst Post-Graduate Position: Visiting assistant professor, University of California Riverside<\/p>\r\n\r\n<p><strong>Wang, Wenhao<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Dehn Functions of Metabelian Groups<\/em><br \/>\r\nFaculty Advisor: Mark Sapir<br \/>\r\nFirst Post-Graduate Position: Scientific researcher, Steklov Institute of Mathematics<\/p>\r\n\r\n<p><strong>Yang, Jun<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>The von Neumann Algebras from Cusp Forms Acting on Holomorphic Discrete Series<\/em><br \/>\r\nFaculty Advisor: Dietmar Bisch, Vaughan Jones<br \/>\r\nFirst Post-Graduate Position: Harvard University<\/p>\r\n\r\n<h3>2020<\/h3>\r\n\r\n<p><strong>Dunshee, Blake<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Directedness, Duality, and Parity Conditions for Embedded Graphs<\/em><br \/>\r\nFaculty Advisor: Mark Ellingham<br \/>\r\nFirst Post-Graduate Position: Lecturer, Belmont University<\/p>\r\n\r\n<p><strong>Feigenbaum, Ahram<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Applications of Modular Forms to Geometry and Interpolation Problems<\/em><br \/>\r\nFaculty Advisor: Doug Hardin<br \/>\r\nFirst Post-Graduate Position: Industry Position<\/p>\r\n\r\n<p><strong>Jacobson, Bryan<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Two Projects on Equations Over Generalizations of Hyperbolic Groups<\/em><br \/>\r\nFaculty Advisor: Denis Osin<br \/>\r\nFirst Post-Graduate Position: Industry Position<\/p>\r\n\r\n<p><strong>Khan, Krishnendu<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Fundamental Groups of Certain von Neumann Algebras<\/em><br \/>\r\nFaculty Advisor: Alexander Olshansky, Jesse Peterson<br \/>\r\nFirst Post-Graduate Position: Visiting Assistant Professor, University of Iowa<\/p>\r\n\r\n<p><strong>Nowbandegani, Pouria Salehi&nbsp;<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Prism-Hamiltonicity and Hamiltonicity of Graph Products<\/em><br \/>\r\nFaculty Advisor: Mark Ellingham<br \/>\r\nFirst Post-Graduate Position: Postdoc, Broad Institute (Harvard and MIT)<\/p>\r\n\r\n<h3>2019<\/h3>\r\n\r\n<p><strong>Huang, Longxiu<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Dynamical Sampling and its Applications<\/em><br \/>\r\nFaculty Advisor: Akram Aldroubi<br \/>\r\nFirst Post-Graduate Position: Postdoctoral Fellow at the University of California, Los Angeles<\/p>\r\n\r\n<p><strong>Leshen, Sara<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Balian-Low Type Results for Gabor-Schauder Bases<\/em><br \/>\r\nFaculty Advisor: Alexander Powell<br \/>\r\nFirst Post-Graduate Position: Assistant Teaching Professor at Rutgers University<\/p>\r\n\r\n<p><strong>Li, Shiying<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Adaptive Methods and Collocation by Splines for Solving Differential Equations<\/em><br \/>\r\nFaculty Advisor: Larry Schumaker, Mike Neamtu<br \/>\r\nFirst Post-Graduate Position: Postdoctoral Research Associate, Dept of Biomedical Engineering, Univ of Virginia<\/p>\r\n\r\n<p><strong>Nikkel, Jordan<\/strong><br \/>\r\nPh.D. Thesis:<em>On Extending Stallings 2-Cores of Diagram Groups to R. Thompson&#39;s Group T and Jones Subgroup of T<\/em><br \/>\r\nFaculty Advisor: Mark Sapir<br \/>\r\nFirst Post-Graduate Position: Visiting Assistant Professor at Christian Brothers University<\/p>\r\n\r\n<p><strong>Solava, Ryan<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Fine Structure of 3-Connected, K_{2,t}-Minor-free Graphs<\/em><br \/>\r\nFaculty Advisor: Mark Ellingham<br \/>\r\nFirst Post-Graduate Position: Assistant Professor at St. Mary&#39;s College<\/p>\r\n\r\n<p><strong>Sun, Bin<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Cohomology of Group Theoretic Dehn Fillings<\/em><br \/>\r\nFaculty Advisor: Denis Osin<br \/>\r\nFirst Post-Graduate Position: Postdoctoral Fellow at University of California, Riverside<\/p>\r\n\r\n<p><strong>Villalobos Guillen, Cristobal<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>A Measure Theoretic Approach for the Recovery of Remanent Magnetizations<\/em><br \/>\r\nFaculty Advisor: Doug Hardin<br \/>\r\nFirst Post-Graduate Position: Postdoctoral Fellow at the Ecole Poytechnique, Paris<\/p>\r\n\r\n<h3>2018<\/h3>\r\n\r\n<p><strong>Balasubramanya, Sahana Hassan<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Hyperbolic Structures on Groups<\/em><br \/>\r\nFaculty Advisor: Denis Osin<br \/>\r\nFirst Post-Graduate Position: Visiting Assistant Professor at University of North Carolina, Greensboro<\/p>\r\n\r\n<p><strong>Darbinyan, Arman<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>The Word and Conjugacy Problems of Lacunary Hyperbolic Groups<\/em><br \/>\r\nFaculty Advisor: Alexander Olshanskiy<br \/>\r\nFirst Post-Graduate Position: Postdoctoral Fellow at Ecole Normale Superieure, Paris<\/p>\r\n\r\n<p><strong>Gaslowitz, J. Zachary<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Characterizations of Graphs Without Certain Samall Minors<\/em><br \/>\r\nFaculty Advisor: Mark Ellingham<br \/>\r\nFirst Post-Graduate Position: Instructor at Proof School, San Fransisco<\/p>\r\n\r\n<p><strong>Gui, Bin<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>A Unitary Tensor Product Theory for Unitary Vertex Operator Algebra Modules<\/em><br \/>\r\nFaculty Advisor: Vaughan Jones<br \/>\r\nFirst Post-Graduate Position: Postdoctoral Fellow at Rutgers University<\/p>\r\n\r\n<p><strong>O&#39;Connell, Kelly<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Characterization and Hamiltonicity of K_{1,1,t}--Minor-free Graphs: A Fan-based Approached<\/em><br \/>\r\nFaculty Advisor: Mark Ellingham<br \/>\r\nFirst Post-Graduate Position: Data Scientist at Iwoca, London<\/p>\r\n\r\n<p><strong>Vlasiuk, Oleksandr<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Riesz Energy Functionals and Their Applications<\/em><br \/>\r\nFaculty Advisor: Edward Saff<br \/>\r\nFirst Post-Graduate Position: Postdoctoral Fellow at Florida State University<\/p>\r\n\r\n<h3>2017<\/h3>\r\n\r\n<p><strong>Das, Sayan<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Poisson Boundaries of Finite von Neumann Algebras&nbsp;<\/em><br \/>\r\nFaculty Advisor: Jesse Peterson, Vaughan Jones<br \/>\r\nFirst Post-Graduate Position: Visiting Assistant Professor at University of Iowa<\/p>\r\n\r\n<p><strong>Klaus, Colin<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>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&nbsp;<\/em><br \/>\r\nFaculty Advisor: Emmanuele DiBenedetto<br \/>\r\nFirst Post-Graduate Position: Postdoctoral Fellow at The Ohio State University<\/p>\r\n\r\n<p><strong>Lee, Chang Hsin<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Analysis of Signal Reconstruction Algorithm Based on Consistency Constraints<\/em><br \/>\r\nFaculty Advisor: Alexander Powell<br \/>\r\nFirst Post-Graduate Position: Data Scientist - Lowe&#39;s Home Improvement<\/p>\r\n\r\n<p><strong>Michaels, Timothy<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Node Generation on Surfaces and Bounds on Minimal Riesz Energy<\/em><br \/>\r\nFaculty Advisor: Doug Hardin, Edward Saff<br \/>\r\nFirst Post-Graduate Position: Senior Data Scientist, CarMax, Richmond, Virginia<\/p>\r\n\r\n<p><strong>Petrosyan, Armenak<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Dynamical Sampling and Systems of Vectors from Iterative Actions of Operators<\/em><br \/>\r\nFaculty Advisor: Akram Aldroubi<br \/>\r\nFirst Post-Graduate Position: Postdoctoral Research Associate at Oak Ridge National Laboratory<\/p>\r\n\r\n<p><strong>Ren, Yunxiang<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Skein Theory of Planar Algebras and Some Applications<\/em><br \/>\r\nFaculty Advisor: Vaughan Jones<br \/>\r\nFirst Post-Graduate Position: Postdoctoral Research Associate at University of Tennessee in Knoxville[\/accordion]<\/p>\r\n\r\n<h3>2016<\/h3>\r\n\r\n<p><strong>Corson, Samuel<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Age-Subgroups and Quotients of Fundamental Groups<\/em><br \/>\r\nFaculty Advisor: Mark Sapir<br \/>\r\nFirst Post-Graduate Position: Postodoctoral Fellow at Universidad del Pais Vasco, Spain<\/p>\r\n\r\n<p><strong>Jiang, Jiayi<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Quantization in Signal Processing with Frame Theory<\/em><br \/>\r\nFaculty Advisor: Alexander Powell<br \/>\r\nFirst Post-Graduate Position: Senior Algorithm Developer--Hiscene in Shanghai<\/p>\r\n\r\n<p><strong>Jones, Corey<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Annular Representation Theory with Applications to Approximation and Rigidity Properties for Rigid C*-Tensor Categories<\/em><br \/>\r\nFaculty Advisor: Vaughan Jones<br \/>\r\nFirst Post-Graduate Position: Postdoctoral Fellow at Australian National University<\/p>\r\n\r\n<p><strong>Norhington V, Michael<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Balian-Low Type Theorems for Shift-Invariance Spaces<\/em><br \/>\r\nFaculty Advisor: Alexander Powell, Doug Hardin<br \/>\r\nFirst Post-Graduate Position: Postdoctoral Fellow at Georgia Institute of Technology<\/p>\r\n\r\n<p><strong>Su, Yujian<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Discrete Minimal Energy on Flat Tori and Four-Point Maximal Polarization in S^2<\/em><br \/>\r\nFaculty Advisor: Doug Hardin<\/p>\r\n\r\n<p><strong>Tang, Sui<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Dynamical Sampling<\/em><br \/>\r\nFaculty Advisor: Akram Aldroubi<br \/>\r\nFirst Post-Graduate Position: Assistant Research Scientist and Senior Lecturer at Johns Hopkins University<\/p>\r\n\r\n<p><strong>Wen, Chenxu<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Amenable Extensions in II_1 Factors<\/em><br \/>\r\nFaculty Advisor: Jesse Peterson<br \/>\r\nFirst Post-Graduate Position: Postdoctoral Fellow at Harbin Institute of Technology, China<\/p>\r\n\r\n<h3>2015<\/h3>\r\n\r\n<p><strong>Gao, Min<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Age-Structured Population Models with Applications<\/em><br \/>\r\nFaculty Advisor: Glenn F. Webb<br \/>\r\nFirst Post-Graduate Position: Data Scientist- NTT Data<\/p>\r\n\r\n<p><strong>Liu, Zhengwei<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Skein Theory for Subfactor Planar Algebras<\/em><br \/>\r\nFaculty Advisor: Vaughan Jones<br \/>\r\nFirst Post-Graduate Position: Postdoctoral Fellow Harvard University<\/p>\r\n\r\n<p><strong>Shao, Yuanzhen<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Theory of Parabolic Differential Equations on Singular Manifolds and its Applications to Geometric Analysis<\/em><br \/>\r\nFaculty Advisor: Gieri Simonett<br \/>\r\nFirst Post-Graduate Position: Golomb Visiting Assistant Professor Purdue University<\/p>\r\n\r\n<h3>2014<\/h3>\r\n\r\n<p><strong>Chong, Fan Fei<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>E-theory for L^p-Algebras and the Dual Novikov Conjecture<\/em><br \/>\r\nFaculty Advisor: Gennadi Kasparov<br \/>\r\nFirst Post-Graduate Position: Statistical Programmer Specialist - Tennessee Department of Health<\/p>\r\n\r\n<p><strong>Davis, Jacqueline<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Spatio-temporal Trade-off for Quasi-uniform Sampling of Signals in Evolutionary Systems<\/em><br \/>\r\nFaculty Advisor: Akram Aldroubi<br \/>\r\nFirst Post-Graduate Position: Postdoctoral Fellow Arizona State University<\/p>\r\n\r\n<p><strong>Huo, Xi<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>A Disease Age Structured Model of Epidemic Population Dynamics with Public Health Interventions<\/em><br \/>\r\nFaculty Advisor: Glenn F. Webb<br \/>\r\nFirst Post-Graduate Position: Postdoctoral Fellow - Ryerson University, Toronto, Canada<\/p>\r\n\r\n<p><strong>Liao, Naian<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Topics on a Logarithmic Diffusion Equation<\/em><br \/>\r\nFaculty Advisor: Emmanuele DiBenedetto<br \/>\r\nFirst Post-Graduate Position: Assistant Professor-Chongqing University, China<\/p>\r\n\r\n<p><strong>Marshall, Emily<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Hamiltonicity and Structure of Classes of Minor-Free Graphs<\/em><br \/>\r\nFaculty Advisor: Mark Ellingham<br \/>\r\nFirst Post-Graduate Position: Postdoctoral Fellow - Louisiana State University<\/p>\r\n\r\n<p><strong>Smedberg, Matthew<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Neccessary Conditions for Finite Decidability in Locally Finite Varieties Admitting Strongly Abelian Behavior<\/em><br \/>\r\nFaculty Advisor: Ralph McKenzie<br \/>\r\nFirst Post-Graduate Position: Senior Professional Development Specialist at Reasoning Mind, Houston, TX<\/p>\r\n\r\n<h3>2013<\/h3>\r\n\r\n<p><strong>Bosuwan, Nattapong<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Two Problems in Asymptotic Analysis Pade&#39;-Orthogonal Approximation and Riesa-Polarization Constants<\/em><br \/>\r\nFaculty Advisor: Ed Saff<br \/>\r\nFirst Post-Graduate Position: Lecturer-Mahidol University, Thailand<\/p>\r\n\r\n<p><strong>Camp, Wes<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Graph Separators and Boundaries of Right-Angled Artin and Coxeter Groups<\/em><br \/>\r\nFaculty Advisor: Michael Mihalik<br \/>\r\nFirst Post-Graduate Position: Statistician at AdvanceMed<\/p>\r\n\r\n<p><strong>Hull, Michael<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Properties of Acylindrically Hyperbolic Groups and Their Small Cancellation Quotients<\/em><br \/>\r\nFaculty Advisor: Denis Osin<br \/>\r\nFirst Post-Graduate Position: Research Asst. Professor-University of Illinois-Chicago<\/p>\r\n\r\n<p><strong>Kent, Curtis<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Topological Properties of Asymptotic Cones<\/em><br \/>\r\nFaculty Advisor: Mark Sapir<br \/>\r\nFirst Post-Graduate Position: Postoctoral Fellow- University of Toronto<\/p>\r\n\r\n<p><strong>Spaeth, Anneliese&nbsp;<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>A Determination of the Existence of Various Types of Positive Systems in LP<\/em><br \/>\r\nFaculty Advisor: Alexander Powell<br \/>\r\nFirst Post-Graduate Position: Assistant Professor-Huntingdon College, Alabama<\/p>\r\n\r\n<p><strong>Wires, Alexander<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Some Results in Universal Algebra<\/em><br \/>\r\nFaculty Advisor: Ralph McKenzie<br \/>\r\nFirst Post-Graduate Position: Postdoctoral Fellow- University of Waterloo<\/p>\r\n\r\n<p><strong>Wu, Jianchao<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>The Novikov Conjecture, the Group of Volume Preserving Diffeomorphisms and Non-positively Curved Hilbert Manifolds<\/em><br \/>\r\nFaculty Advisor: Guoliang Yu<br \/>\r\nFirst Post-Graduate Position: Postdoctoral Fellow-University of Munster<\/p>\r\n\r\n<p><strong>Young, William<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>An Investigation of Residuated Lattices with Modal Operators<\/em><br \/>\r\nFaculty Advisor: Constantine Tsinakis<br \/>\r\nFirst Post-Graduate Position: Visiting Assistant Professor-Huntingdon College, Alabama<\/p>\r\n\r\n<p><strong>Zhou, Dapeng<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>The Coarse Baum-Connes Conjecture and Controlled Operator K-Theory<\/em><br \/>\r\nFaculty Advisor: Guoliang Yu<br \/>\r\nFirst Post-Graduate Position: Postdoctoral position-East China Normal University<\/p>\r\n\r\n<h3>2012<\/h3>\r\n\r\n<p><strong>Boatman, Nicholas<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Partial-Burnside Groups<\/em><br \/>\r\nFaculty Advisors: Alexander Y. Olshanskiy<br \/>\r\nFirst Post-Graduate Position: Actuarial Assistant-American General Life and Accident Insurance Co.<\/p>\r\n\r\n<p><strong>Chaynikov, Vladimir<\/strong><br \/>\r\nPh.D. Thesis:&nbsp;<em>Properties of Hyperbolic Groups: Free Normal Subgroups Quasiconvex Subgroups and Actions at Maximal Growth<\/em><br \/>\r\nFaculty Advisor: Alexander Y. Olshanskiy<br \/>\r\nFirst Post-Graduate Position: Lecturer position-Central Michigan University<\/p>\r\n\r\n<p><strong>Chen, Xuemei<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Stability of Compressed Sensing for Dictionaries and Almost Sure Convergence Rafte for Kaczmarz Algorithm<\/em><br \/>\r\nFaculty Advisors: Akram Aldroubi, Alex Powell<br \/>\r\nFirst Post-Graduate Position: Postdoctoral position -University of Maryland<\/p>\r\n\r\n<p><strong>Kapitanov, Georgi<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>A Mathematical Model of Cancer Stem Cell Lineage Population Dynamics with Mutation Accumulation and Telomere Length Hierarchies<\/em><br \/>\r\nFaculty Advisors: Glenn F. Webb<br \/>\r\nFirst Post-Graduate Position: Postdoctoral position -Purdue University<\/p>\r\n\r\n<p><strong>LeCrone, Jeremy<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>On the Axisymmetric Surface Diffusion Flow<\/em><br \/>\r\nFaculty Advisors: Gieri Simonett<br \/>\r\nFirst Post-Graduate Position: Postdoctoral position -Vanderbilt University<\/p>\r\n\r\n<p><strong>Schroeder, Justin<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Hamilton Cycle Embeddings of Complete Tripartite Graphs and Their Applications<\/em><br \/>\r\nFaculty Advisors: Mark Ellingham<br \/>\r\nFirst Post-Graduate Position: Lecturer - George Mason University<\/p>\r\n\r\n<p><strong>Sekmen, Ali<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Subspace Clustering and High-Dimensional Data Analysis<\/em><br \/>\r\nFaculty Advisors: Akram Aldroubi<br \/>\r\nFirst Post-Graduate Position: Professor - Tennessee State University<\/p>\r\n\r\n<p><strong>Wang, Lujun<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Trivariate Polynomial Splines on 3D T-Meshes<\/em><br \/>\r\nFaculty Advisors: Larry Schumaker<br \/>\r\nFirst Post-Graduate Position: Senior Software Engineer-Integraph Corporation<\/p>\r\n\r\n<h3>2011<\/h3>\r\n\r\n<p><strong>Davis, Tara<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Subgroup Distortion in Metabelian and Free Nilpotent Groups<\/em><br \/>\r\nFaculty Advisor: Alexander Y. Olshanskiy<br \/>\r\nFirst Post-Graduate Position: Postdoctoral position - Hawaii Pacific University\/Honolulu<\/p>\r\n\r\n<p><strong>Sinclair, Thomas<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Deformations of II1&nbsp;Factors with Applications to their Structural Theory<\/em><br \/>\r\nFaculty Advisors: Dietmar Bisch and Jesse Peterson<br \/>\r\nFirst Post-Graduate Position: Postdoctoral position -University of California, Los Angeles<\/p>\r\n\r\n<p><strong>Wang, Haichao<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Topics on Shift-Invariant Spaces with Extra Invariance<\/em><br \/>\r\nFaculty Advisor: Akram Aldroubi<br \/>\r\nFirst Post-Graduate Position: Postdoctoral position- University of California, Davis<\/p>\r\n\r\n<p><strong>Wang, Hang<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>L2-Index Formula for Proper Cocompact Group Actions<\/em><br \/>\r\nFaculty Advisor: Gennadi Kasparov<br \/>\r\nFirst Post-Graduate Position: Postdoctoral position-Mathematical Sciences @ Tsinghua University<\/p>\r\n\r\n<h3>2010<\/h3>\r\n\r\n<p><strong>Fitzpatrick, Justin<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>The Geometry of Optimal and Near-Optimal Riesz Energy Configurations<\/em><br \/>\r\nFaculty Advisor: Doug Hardin<br \/>\r\nFirst Post-Graduate Position: Lecturer- Vanderbilt University<\/p>\r\n\r\n<p><strong>Lopez, Abey<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Two Problems in Computational Mathematics: Multiple Orthogonal Polynomials and Greedy Energy Points&nbsp;<\/em><br \/>\r\nFaculty Advisor: Edward Saff<br \/>\r\nFirst Post-Graduate Position: Postdoctoral position - University of Leuven in Belgium<\/p>\r\n\r\n<h3>2009<\/h3>\r\n\r\n<p><strong>Acosta, Ernesto<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Optimal Non-Linear Signal Models and Stability of Sampling Reconstruction&nbsp;<\/em><br \/>\r\nFaculty Advisor: Akram Aldroubi<br \/>\r\nFirst Post-Graduate Position: deceased<\/p>\r\n\r\n<p><strong>Calef, Matt<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Theorectical and Computational Investigations of Minimal Energy Problems&nbsp;<\/em><br \/>\r\nFaculty Advisor: Doug Hardin<br \/>\r\nFirst Post-Graduate Position: Postdoctoral position - Los Alamos National Laboratory<\/p>\r\n\r\n<p><strong>Kozakova, Iva<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Percolation and Ising Model on Tree-Like Graphs&nbsp;<\/em><br \/>\r\nFaculty Advisor: Mark Sapir<\/p>\r\n\r\n<p><strong>Nica, Bogdan<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Spectral Morphisms, K-Theory, and Stable Ranks&nbsp;<\/em><br \/>\r\nFaculty Advisor: Guoliang Yu<br \/>\r\nFirst Post-Graduate Position: Postdoctoral position - University of Victoria<\/p>\r\n\r\n<h3>2008<\/h3>\r\n\r\n<p><strong>Jennings, David<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Topological Algebras and q-Undemanding Varieties&nbsp;<\/em><br \/>\r\nFaculty Advisor: Steven Tschantz<br \/>\r\nFirst Post-Graduate Position: Education Director - C2 Education - Bowie<\/p>\r\n\r\n<p><strong>Nowak, Piotr<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Property A as Metric Amenability and its Applications to Geometry&nbsp;<\/em><br \/>\r\nFaculty Advisor: Guoliang Yu<br \/>\r\nFirst Post-Graduate Position: Postdoctoral position - Texas A&amp;M University<\/p>\r\n\r\n<p><strong>Spakula, Jan<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>K-Theory of Uniform Roe Algebras&nbsp;<\/em><br \/>\r\nFaculty Advisor: Guoliang Yu<br \/>\r\nFirst Post-Graduate Position: Postdoctoral position - Westfaelische Wilhelms - Universitaet Muenster<\/p>\r\n\r\n<h3>2007<\/h3>\r\n\r\n<p><strong>Callender, Hannah<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Mathematical Modeling of Species-Specific Diacylglycerol Dynamics in the RAW 264.7 Macrophage Following P2Y_6 Receptor Activation by Uridine 5&#39;-Dihosphate&nbsp;<\/em><br \/>\r\nFaculty Advisor: Mary Ann Horn<br \/>\r\nFirst Post-Graduate Position: Postdoctoral position - IMA, University of Minnesota<\/p>\r\n\r\n<p><strong>Futamura, Fumiko<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Symmetrically Localized Frames, Localized Operators and Their Application to the Construction of Localized Hilbert and Banach Frames&nbsp;<\/em><br \/>\r\nFaculty Advisor: Akram Aldroubi<br \/>\r\nFirst Post-Graduate Position: Tenure-track position - Southwestern University<\/p>\r\n\r\n<p><strong>Hinow, Peter<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Partial Differential Equation Models for Intranuclear Diffusion, Inverse Problems in Nanobiology and Cell Cycle Specific Effects of Anticancer Drugs&nbsp;<\/em><br \/>\r\nFaculty Advisors: Philip Crooke and Glenn Webb<br \/>\r\nFirst Post-Graduate Position: Postdoctoral position - IMA, University of Minnesota<\/p>\r\n\r\n<p><strong>Lambert, Thomas Paul<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>On the Classification of Closed Flat Four-Manifolds&nbsp;<\/em><br \/>\r\nFaculty Advisor: John Ratcliffe<\/p>\r\n\r\n<p><strong>Leonetti, Casey<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Reconstruction from Error-Affected Data in Shift-Invariant Spaces&nbsp;<\/em><br \/>\r\nFaculty Advisor: Akram Aldroubi<br \/>\r\nFirst Post-Graduate Position: Boston Consulting Group<\/p>\r\n\r\n<p><strong>Shan, Lin<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Equivariant Index Theory and Non-positively Curved Manifolds&nbsp;<\/em><br \/>\r\nFaculty Advisor: Guoliang Yu<br \/>\r\nFirst Post-Graduate Position: Postdoctoral position - Westfaelische Wilhelms - Universitaet Muenster<\/p>\r\n\r\n<p><strong>Yattselev, Maxym<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Non-Hermitian Orthogonality and Meromorphic Approximation&nbsp;<\/em><br \/>\r\nFaculty Advisor: Edward Saff<br \/>\r\nFirst Post-Graduate Position: Postdoctoral position - INRIA in France<\/p>\r\n\r\n<h3>2006<\/h3>\r\n\r\n<p><strong>Babenko, Yuliya<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>On the Asymptotic Behavior of the Optimal Error of Spline Interpolation of Multivariate Functions&nbsp;<\/em><br \/>\r\nFaculty Advisor: Larry Schumaker<br \/>\r\nFirst Post-Graduate Position: Tenure-track position - Sam Houston University<\/p>\r\n\r\n<p><strong>Biebighauser, Daniel<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Generalizations of Hamiltonicity for Embedded Graphs&nbsp;<\/em><br \/>\r\nFaculty Advisor: Mark Ellingham<br \/>\r\nFirst Post-Graduate Position: Tenure-track position - Concordia College in Moorhead MN<\/p>\r\n\r\n<p><strong>Borodachov, Sergiy<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Asymptotic Results for the Minimum Energy and Best Packing Problems on Rectifiable Sets&nbsp;<\/em><br \/>\r\nFaculty Advisor: Edward Saff<br \/>\r\nFirst Post-Graduate Position: Postdoctoral position - Georgia Tech<\/p>\r\n\r\n<p><strong>Mina-Diaz, Erwin<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Asymptotics for Faber Polynomials and Polynomials Orthogonal over Regions in the Complex Plane&nbsp;<\/em><br \/>\r\nFaculty Advisor: Edward Saff<br \/>\r\nFirst Post-Graduate Position: Postdoctoral position - Indiana Purdue Fort Wayne<\/p>\r\n\r\n<p><strong>Mirani, Mozhgan<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Classical Trees and Ultrametric Spaces&nbsp;<\/em><br \/>\r\nFaculty Advisor: Bruce Hughes<br \/>\r\nFirst Post-Graduate Position: Sewanee University of the South<\/p>\r\n\r\n<p><strong>Muranov, Aliaksei<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>On Geometry and Combinatorics of Van Kampen Diagrams&nbsp;<\/em><br \/>\r\nFaculty Advisor: Alexander Olshanskii<br \/>\r\nFirst Post-Graduate Position: Postdoctoral positon - Camille Jordan<\/p>\r\n\r\n<p><strong>Zhao, Yan<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>A Model for Strep Throat Infection: Dynamics of Contingency Gene Selection in an Infected Host&nbsp;<\/em><br \/>\r\nFaculty Advisor: Glenn F. Webb<br \/>\r\nFirst Post-Graduate Position: Adjunct Lecturer - Greenville Tech College<\/p>\r\n\r\n<p><strong>Zhong, Changyong<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Multiplication Operator and M-Berezin Transforms&nbsp;<\/em><br \/>\r\nFaculty Advisor: Dechao Zheng<br \/>\r\nFirst Post-Graduate Position: Georgia State University<\/p>\r\n\r\n<h3>2005<\/h3>\r\n\r\n<p><strong>Minasyan, Ashot<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>On Quasiconvex Subsets of Hyperbolic Groups&nbsp;<\/em><br \/>\r\nFaculty Advisor: Alexander Olshanskii<br \/>\r\nFirst Post-Graduate Position: Postdoctoral position - University of Geneva in Switzerland<\/p>\r\n\r\n<p><strong>Sonkin, Dmitry<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>On Groups with Large Exponents n and n-Periodic Products&nbsp;<\/em><br \/>\r\nFaculty Advisor: Alexander Olshanskii<br \/>\r\nFirst Post-Graduate Position: Postdoctoral position - University of Virginia<\/p>\r\n\r\n<h3>2004<\/h3>\r\n\r\n<p><strong>Kozik, Marcin<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>On Some Coplexity Problems in Finite Algebra&nbsp;<\/em><br \/>\r\nFaculty Advisor: Ralph MacKenzie<br \/>\r\nFirst Post-Graduate Position: Jagiellonian University<\/p>\r\n\r\n<p><strong>Sorokina, Tatyana<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Multivariate C1 Macro-elements&nbsp;<\/em><br \/>\r\nFaculty Advisor: Larry Schumaker<br \/>\r\nFirst Post-Graduate Position: University of Georgia<\/p>\r\n\r\n<p><strong>Stephens, Christopher<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>The Nonorientable Genus of the Complete Tripartite Graph&nbsp;<\/em><br \/>\r\nFaculty Advisor: Mark Ellingham<br \/>\r\nFirst Post-Graduate Position: Tenure-track position - Middle Tennessee State University<\/p>\r\n\r\n<h3>2003<\/h3>\r\n\r\n<p><strong>Alewine, J. Alan<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>An Inductive Limit Topology on the Denjoy Space&nbsp;<\/em><br \/>\r\nFaculty Advisor: Eric Schechter<br \/>\r\nFirst Post-Graduate Position: McKendree College in Ohio<\/p>\r\n\r\n<p><strong>Bruff, Derek<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Wavelets on Nonuniform Knot Sequences&nbsp;<\/em><br \/>\r\nFaculty Advisor: Doug Hardin<br \/>\r\nFirst Post-Graduate Position: Harvard Univeristy<\/p>\r\n\r\n<p><strong>Galatos, Nikolaos<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Varieties of Residuated Lattices&nbsp;<\/em><br \/>\r\nFaculty Advisor: Constantine Tsinakis<br \/>\r\nFirst Post-Graduate Position: Postdoctoral position - Japan Advanced Institute<\/p>\r\n\r\n<p><strong>Gaston, Dana<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Separating Cycles in Triangulations of the Double Torus&nbsp;<\/em><br \/>\r\nFaculty Advisor: Mark Ellingham<\/p>\r\n\r\n<p><strong>Markovic, Petar<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Strongly Nilpotent Finite Algebras&nbsp;<\/em><br \/>\r\nFaculty Advisor: Ralph McKenzie<br \/>\r\nFirst Post-Graduate Position: University of Novi Sad<\/p>\r\n\r\n<p><strong>Rayevskaya, Vera<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>N-sided Macro-element Spaces and Local Lagrange Interpolation for Splines and Triangulations&nbsp;<\/em><br \/>\r\nFaculty Advisor: Larry Schumaker<br \/>\r\nFirst Post-Graduate Position: University of Northern Iowa<\/p>\r\n\r\n<p><strong>Silkin, Nikolay<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>On Connectivity at Infinity of the Extended Lamplighter Group&nbsp;<\/em><br \/>\r\nFaculty Advisor: Mike Mihalik<br \/>\r\nFirst Post-Graduate Position: Grinnell College<\/p>\r\n\r\n<h3>2002<\/h3>\r\n\r\n<p><strong>Bahls, Charles Patrick<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Even Rigidity in Coxeter Groups&nbsp;<\/em><br \/>\r\nFaculty Advisor: Mike Mihalik<\/p>\r\n\r\n<p><strong>Cole, Jac<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Residuated Lattice Orderings on Cancellative Monoids&nbsp;<\/em><br \/>\r\nFaculty Advisor: Constantine Tsinakis<\/p>\r\n\r\n<p><strong>Greer, Merh Lynn<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>A Population Model of Prion Dynamics&nbsp;<\/em><br \/>\r\nFaculty Advisor: Glenn Webb<\/p>\r\n\r\n<p><strong>King, Erica Cox<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Characterizing and Comparing Some Subclasses of Well-Covered Graphs&nbsp;<\/em><br \/>\r\nFaculty Advisor: Michael Plummer<\/p>\r\n\r\n<p><strong>Maroti, Miklos<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>The Variety Generated by Tournaments&nbsp;<\/em><br \/>\r\nFaculty Advisor: Ralph McKenzie<\/p>\r\n\r\n<p><strong>O&#39;Hara, Karen Bradford<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>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&nbsp;<\/em><br \/>\r\nFaculty Advisor: Glenn Webb<\/p>\r\n\r\n<h3>2001<\/h3>\r\n\r\n<p><strong>Lin, Amy Hsiao-Chun<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>The Dynamics of the Interactions between Solid Tumors and Lymphocytes: A Deterministic Model&nbsp;<\/em><br \/>\r\nFaculty Advisor: Glenn Webb<\/p>\r\n\r\n<p><strong>Stewart, Sarah Ann<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Some Families of Subnormal Operators with Finite Rank Self-Commutators&nbsp;<\/em><br \/>\r\nFaculty Advisor: Daoxing Xia<\/p>\r\n\r\n<h3>2000<\/h3>\r\n\r\n<p><strong>Gramling, Karen Ann Linton<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Interassociates of Cyclic and Free Semigroups&nbsp;<\/em><br \/>\r\nFaculty Advisor: Matthew Gould<\/p>\r\n\r\n<p><strong>Howard, Keith Eugene<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Size and Maturity Structured Models of Cell Population Dynamics Chaotic Behavior&nbsp;<\/em><br \/>\r\nFaculty Advisor: Glenn Webb<\/p>\r\n\r\n<p><strong>Morton, Tanya May<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Error Bounds for Solving Pseudodifferential Equations on Spheres by Collocation with Zonal Kernals&nbsp;<\/em><br \/>\r\nFaculty Advisor: Larry Schumaker<\/p>\r\n\r\n<h3>1999<\/h3>\r\n\r\n<p><strong>Blount, Kevin Kendall<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>On the Structure of Residuated Lattices&nbsp;<\/em><br \/>\r\nFaculty Advisor: Constantine Tsinakis<\/p>\r\n\r\n<p><strong>Dinsenbacher, Thomas Brian<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Multivariate Nonhomogeneous Refinement: Existence, Uniqueness, Regularity and Application to Image Compression&nbsp;<\/em><br \/>\r\nFaculty Advisor: Doug Hardin<\/p>\r\n\r\n<p><strong>Timar, Charles Cary<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Spanning Walks in Infinite Planar Graphs&nbsp;<\/em><br \/>\r\nFaculty Advisor: Mark Ellingham[\/accordion]<\/p>\r\n\r\n<h3>1998<\/h3>\r\n\r\n<p><strong>Assaf, David, IV<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>The Sensitivity of Spline Functions on Triangulations to Vertex Perturbation&nbsp;<\/em><br \/>\r\nFaculty Advisor: Larry Schumaker<\/p>\r\n\r\n<p><strong>Dishman, Laurie Gail Plunk<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Interassociativity and Strong Interassociativity&nbsp;<\/em><br \/>\r\nFaculty Advisor: Matthew Gould<\/p>\r\n\r\n<p><strong>Hota, Sanjukta<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Mathematical Models of Respiratory Function&nbsp;<\/em><br \/>\r\nFaculty Advisor: Philip Crooke<\/p>\r\n\r\n<p><strong>Johnson, Michael Eugene<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Resonances in Periodic Chemotherapy Scheduling: Age Structured Models&nbsp;<\/em><br \/>\r\nFaculty Advisor: Glenn Webb<\/p>\r\n\r\n<p><strong>Snow, John William<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Relations on Algebras and Varieties as Catagories&nbsp;<\/em><br \/>\r\nFaculty Advisor: Ralph McKenzie<\/p>\r\n\r\n<h3>1997<\/h3>\r\n\r\n<p><strong>Beshears, Aaron Christian<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>G-Isovariant Structure Sets and Stratified Structure Sets&nbsp;<\/em><br \/>\r\nFaculty Advisor: Bruce Hughes<\/p>\r\n\r\n<p><strong>Burton, David Bryant<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>On Hyponormal Tuples of Commuting Operators with Finite Rank Self-Commutators&nbsp;<\/em><br \/>\r\nFaculty Advisor: Daoxing Xia<\/p>\r\n\r\n<p><strong>Kessler, Walter Bruce<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Construction of Orthogonal Compactly-Supported Scaling Functions and Multiwavelets on Arbitrary Meshes&nbsp;<\/em><br \/>\r\nFaculty Advisor: Doug Hardin<\/p>\r\n\r\n<p><strong>Lee, Hoseung<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Recognizable Elements of Quantales: A Result of Myhill Revisited&nbsp;<\/em><br \/>\r\nFaculty Advisor: Constantine Tsinakis<\/p>\r\n\r\n<p><strong>Menser, David Kirk<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Lower Bounds on the Circumference of Graphs in Terms of Girth and Degree Conditions&nbsp;<\/em><br \/>\r\nFaculty Advisor: Mark Ellingham<\/p>\r\n\r\n<p><strong>Roach, David William<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Multiwavelet Prefilters: Orthogonal Prefilters Preserving Approximation Order p&lt;=3&nbsp;<\/em><br \/>\r\nFaculty Advisor: Doug Hardin<\/p>\r\n\r\n<p><strong>Talbert, Robert N.<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Stratified and Equivariant Homology via Homotopy Colimits&nbsp;<\/em><br \/>\r\nFaculty Advisor: Bruce Hughes\/Stratos Prassidis<\/p>\r\n\r\n<p><strong>Vandergriff, Jim<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Contributions to the Class Number Problem for Real Quadratic Number Fields&nbsp;<\/em><br \/>\r\nFaculty Advisor: Richard Arenstorf<\/p>\r\n\r\n<h3>1996<\/h3>\r\n\r\n<p><strong>Cotten, Deborah Lynne<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Stone-Type Categorical Equivalences in Semantics of Programming Languages&nbsp;<\/em><br \/>\r\nFaculty Advisor: Constantine Tsinakis<\/p>\r\n\r\n<p><strong>Marasovich, Jeffrey Allen<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Biorthogonal Multiwavelets&nbsp;<\/em><br \/>\r\nFaculty Advisor: Doug Hardin<\/p>\r\n\r\n<p><strong>Rafter, Lori Henslee<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Order Semantics of Linear Logic&nbsp;<\/em><br \/>\r\nFaculty Advisor: Constantine Tsinakis<\/p>\r\n\r\n<p><strong>Stanley, Sonya Faith Stephenson<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Quasi-Interpolation with Trigonometric Splines&nbsp;<\/em><br \/>\r\nFaculty Advisor: Larry Schumaker<\/p>\r\n\r\n<h3>1995<\/h3>\r\n\r\n<p><strong>Fasshauer, Gregory Eric<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Radial Basis Functions on Spheres&nbsp;<\/em><br \/>\r\nFaculty Advisor: Larry Schumaker<\/p>\r\n\r\n<p><strong>Rickert, John Phillip<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>On the Simple Connectivity at Infinity of Out F*&nbsp;<\/em><br \/>\r\nFaculty Advisor: Steven Tschantz<\/p>\r\n\r\n<h3>1994<\/h3>\r\n\r\n<p><strong>Brugh, Sherri Lynn Mann<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>The Balanced Projective Dimension of Torsion-Free Abelian k-Groups&nbsp;<\/em><br \/>\r\nFaculty Advisor: Charles Megibben<\/p>\r\n\r\n<p><strong>Rafter, John Arthur, Jr.<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>A Partial Characterization of Canonical Conjugate Varieties of Modal Algebras&nbsp;<\/em><br \/>\r\nFaculty Advisor: Bjarni J&ouml;nsson<\/p>\r\n\r\n<p><strong>Ramey, Jonathan Edward<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Well-Covered Graphs with Maximum Degree Three and Minimal Non-Well-Covered Graphs&nbsp;<\/em><br \/>\r\nFaculty Advisor: Mark Ellingham<\/p>\r\n\r\n<p><strong>Wildsmith, Amy Lynne<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Interassociativity of Clifford Semigroups and Cyclic Semigroups&nbsp;<\/em><br \/>\r\nFaculty Advisor: Matthew Gould<\/p>\r\n\r\n<h3>1993<\/h3>\r\n\r\n<p><strong>Al-Khayer, Adnan<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>One and Two Compartments Mathematical Models of Mechanical Ventilation&nbsp;<\/em><br \/>\r\nFaculty Advisor: Philip Crooke<\/p>\r\n\r\n<p><strong>Boyd, Sheri Renee Jordan<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Interassociativity&nbsp;<\/em><br \/>\r\nFaculty Advisor: Matthew Gould<\/p>\r\n\r\n<p><strong>Fryd, Martin<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Taylor Invertibility for Commuting Operator n-Tuples in Hilbert Space&nbsp;<\/em><br \/>\r\nFaculty Advisor: Daoxing Xia<\/p>\r\n\r\n<h3>1992<\/h3>\r\n\r\n<p><strong>Bass, Thomas Preston, Jr.<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Globals of Graph Algebras&nbsp;<\/em><br \/>\r\nFaculty Advisor: Steven Tschantz<\/p>\r\n\r\n<p><strong>Brewer, Lora Lee<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>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&nbsp;<\/em><br \/>\r\nFaculty Advisor: Richard Arenstorf<\/p>\r\n\r\n<p><strong>Jipsen, Peter<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Computer Aided Investigations of Relation Algebras&nbsp;<\/em><br \/>\r\nFaculty Advisor: Bjarni J&ouml;nsson<\/p>\r\n\r\n<p><strong>Markus, Lisa Rosann<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Degree, Neighborhood and Claw Conditions versus Traversability in Graphs&nbsp;<\/em><br \/>\r\nFaculty Advisor: Michael Plummer<\/p>\r\n\r\n<h3>1991<\/h3>\r\n\r\n<p><strong>Hart, James Buford<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Decompositions for Relatively Normal Lattices&nbsp;<\/em><br \/>\r\nFaculty Advisor: Constantine Tsinakis<\/p>\r\n\r\n<p><strong>Haynes, Todd Michael<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>The Isomorphism Problem for Two-Generator, One-Relator Groups with Relator of Length Ten or Less&nbsp;<\/em><br \/>\r\nFaculty Advisor: John Ratcliffe<\/p>\r\n\r\n<p><strong>Lyon, Bradford Franklin<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>On Zeta Functions Associated to the Product of Two Eisenstein Series, and Their SL(2,Z)-Spectral Expansions&nbsp;<\/em><br \/>\r\nFaculty Advisor: Richard Arenstorf<\/p>\r\n\r\n<p><strong>Pinter, Michael Raymond<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>W* Graphs and Strongly Well-Covered Graphs: Two Well-Covered Graph Subclasses&nbsp;<\/em><br \/>\r\nFaculty Advisor: Michael Plummer<\/p>\r\n\r\n<p><strong>Rossa, Bernd Erich<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Asynchronous Exponential Growth of Linear C*-Semigroups and a New Tumor Cell Population Model&nbsp;<\/em><br \/>\r\nFaculty Advisor: Glenn Webb<\/p>\r\n\r\n<p><strong>Shirley, Kevin Lynn<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>A Scalar-Valued Analytic Model for a Class of Subnormal Operators&nbsp;<\/em><br \/>\r\nFaculty Advisor: Daoxing Xia<\/p>\r\n\r\n<h3>1990<\/h3>\r\n\r\n<p><strong>Aluthge, Ariyadasa<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Properties of p-Hyponormal Operators&nbsp;<\/em><br \/>\r\nFaculty Advisor: Daoxing Xia<\/p>\r\n\r\n<p><strong>Jones, Joel Lynn<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>The Concordance Extension Theorem&nbsp;<\/em><br \/>\r\nFaculty Advisor: Bruce Hughes<\/p>\r\n\r\n<p><strong>Knisley, Jeff Randell<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>The Analytic Model of a Semi-Hyponormal Operator with Rank One Polar Distance&nbsp;<\/em><br \/>\r\nFaculty Advisor: Daoxing Xia<\/p>\r\n\r\n<p><strong>Yu, Xingxing<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Contractible edge covers in 3-connected graphs&nbsp;<\/em><br \/>\r\nFaculty Advisor: Robert Hemminger<\/p>\r\n\r\n<h3>1989<\/h3>\r\n\r\n<p><strong>Hall, Gary Clark<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>An Age-Size Cell Model with Asymptotic Exponential Periodicity in the Asymmetric Case&nbsp;<\/em><br \/>\r\nFaculty Advisor: Glenn Webb<\/p>\r\n\r\n<p><strong>Lukacs, Erzsebet<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Related Structures of Groups&nbsp;<\/em><br \/>\r\nFaculty Advisor: Matthew Gould<\/p>\r\n\r\n<p><strong>Rayburn, Paula Nell Kimmins<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Local Refinements of Connectivity&nbsp;<\/em><br \/>\r\nFaculty Advisor: Robert Hemminger<\/p>\r\n\r\n<p><strong>Snodgrass, James Tutt, III<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Completely Normal Lattices&nbsp;<\/em><br \/>\r\nFaculty Advisor: Constantine Tsinakis<\/p>\r\n\r\n<p><strong>Wiener, Howard William<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>On an Exterior Laplace Equation Problem with Robin Boundary Condition&nbsp;<\/em><br \/>\r\nFaculty Advisor: John Ahner<\/p>\r\n\r\n<h3>1988<\/h3>\r\n\r\n<p><strong>Profio, Joseph Samuel<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Using Sub-Normality to Show the Simple Connectivity at Infinity of a Finitely Presented Group&nbsp;<\/em><br \/>\r\nFaculty Advisor: Mike Mihalik<\/p>\r\n\r\n<h3>1987<\/h3>\r\n\r\n<p><strong>Biles, Daniel Craig<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Existence and Continuous Dependence of Solutions of Discontinuous Differential Equations&nbsp;<\/em><br \/>\r\nFaculty Advisor: Eric Schechter<\/p>\r\n\r\n<p><strong>Calmelet, Colette Jeanne<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Stability and Special Solutions to the Conducting Dusty Gas Model&nbsp;<\/em><br \/>\r\nFaculty Advisor: Philip Crooke<\/p>\r\n\r\n<p><strong>Campbell, Stephen Roger<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Some Results on Planar Well-Covered Graphs&nbsp;<\/em><br \/>\r\nFaculty Advisor: Michael Plummer<\/p>\r\n\r\n<p><strong>Dean, Nathaniel<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Contractible Edges and Conjectures about Path and Cycle Numbers&nbsp;<\/em><br \/>\r\nFaculty Advisor: Robert Hemminger<\/p>\r\n\r\n<p><strong>Kang, Young Yug<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Joins of Finitely Based Lattice Varieties&nbsp;<\/em><br \/>\r\nFaculty Advisor: Bjarni J&ouml;nsson<\/p>\r\n\r\n<h3>1986<\/h3>\r\n\r\n<p><strong>Lane, Mark Timothy<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>The Third Axiom of Countability Characterization of Balanced Projective Abelian Groups and Applications&nbsp;<\/em><br \/>\r\nFaculty Advisor: Charles Megibben<\/p>\r\n\r\n<h3>1985<\/h3>\r\n\r\n<p><strong>Chyan, Chuan Jen<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Two Linear Population Models and Their Associated Semigroups&nbsp;<\/em><br \/>\r\nFaculty Advisor: Glenn Webb<\/p>\r\n\r\n<p><strong>Lenbury, Yongwimon Wiriyawit<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Modelling Fermentation Processes&nbsp;<\/em><br \/>\r\nFaculty Advisor: Philip Crooke<\/p>\r\n\r\n<p><strong>Patching, David Steven<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Hyperspaces of Some Direct Limit Spaces&nbsp;<\/em><br \/>\r\nFaculty Advisor: Richard Heisey<\/p>\r\n\r\n<h3>1984<\/h3>\r\n\r\n<p><strong>Barr, Thomas Harold<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Spline Approximation for a Problem in Age-Dependent Population Dynamics&nbsp;<\/em><br \/>\r\nFaculty Advisor: Glenn Webb<\/p>\r\n\r\n<h3>1983<\/h3>\r\n\r\n<p><strong>Iskra, Joseph Aloysius<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Globals of Semigroups&nbsp;<\/em><br \/>\r\nFaculty Advisor: Matthew Gould<\/p>\r\n\r\n<p><strong>Lee, Jeh Gwon<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Almost Distributive Lattice Varieties&nbsp;<\/em><br \/>\r\nFaculty Advisor: Bjarni J&ouml;nsson<\/p>\r\n\r\n<h3>1982<\/h3>\r\n\r\n<p><strong>Cyphert, Daniel Scott<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Generalized Functions of Bounded Variation and Their Application to the Theory of Harmonic Functions&nbsp;<\/em><br \/>\r\nFaculty Advisor: John Kelingos<\/p>\r\n\r\n<h3>1981<\/h3>\r\n\r\n<p><strong>Gannaway, John Richard<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Determination of All Central Configurations in the Planar 4-Body Problem with One Inferior Mass&nbsp;<\/em><br \/>\r\nFaculty Advisor: Richard Arenstorf<\/p>\r\n\r\n<p><strong>Hale, Margaret Anne<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Homeomorphisms of Some Direct Limit Spaces&nbsp;<\/em><br \/>\r\nFaculty Advisor: Richard Heisey<\/p>\r\n\r\n<h3>1980<\/h3>\r\n\r\n<p><strong>Collier, Manning Gary<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Contributions to the Theory of Generalized Distributions&nbsp;<\/em><br \/>\r\nFaculty Advisor: John Kelingos<\/p>\r\n\r\n<p><strong>Cope, Davis<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Limit Cycle Solutions of Reaction-Diffusion Equations&nbsp;<\/em><br \/>\r\nFaculty Advisor: Robert Miura<\/p>\r\n\r\n<p><strong>Dean, Arnold<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Stability of Compactness of Resolvents and of Strongly Continuous Semigroups&nbsp;<\/em><br \/>\r\nFaculty Advisor: Glenn Webb<\/p>\r\n\r\n<p><strong>Johnston, Katherine Gay<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Congruence Lattices of Rees Matrix Semigroups&nbsp;<\/em><br \/>\r\nFaculty Advisor: James Nation<\/p>\r\n\r\n<p><strong>Rose, Henry<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Semidistributive Lattice Varieties&nbsp;<\/em><br \/>\r\nFaculty Advisor: Bjarni J&ouml;nsson<\/p>\r\n\r\n<h3>1979<\/h3>\r\n\r\n<p><strong>Mullins, Sarah Ella<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Asymptotic Behavior for Solutions of Nonlinear Systems of Parabolic Equations&nbsp;<\/em><br \/>\r\nFaculty Advisor: Charles Kahane<\/p>\r\n\r\n<p><strong>Richardson, Raymond Earl<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Globally Idempotent and Weakly Reductive Pairs of Polynomially Related Semigroups&nbsp;<\/em><br \/>\r\nFaculty Advisor: Matthew Gould<\/p>\r\n\r\n<h3>1977<\/h3>\r\n\r\n<p><strong>Ezell, Cloyd Lee, Jr.<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Combinatorial Construction of Topologically Analytic Maps&nbsp;<\/em><br \/>\r\nFaculty Advisor: Morris Marx<\/p>\r\n\r\n<p><strong>Forde, James Lowell<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>On Continuous Rings&nbsp;<\/em><br \/>\r\nFaculty Advisor: Charles Megibben<\/p>\r\n\r\n<p><strong>James, Helen Marie Hutcheson<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Automorphism Groups of Free Algebras and Direct Powers&nbsp;<\/em><br \/>\r\nFaculty Advisor: Matthew Gould<\/p>\r\n\r\n<p><strong>Mathis, Frank&nbsp;<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Numerical Solutions to Optimal Control Problems Governed by Functional Differential Equations&nbsp;<\/em><br \/>\r\nFaculty Advisor: George Reddien<\/p>\r\n\r\n<h3>1976<\/h3>\r\n\r\n<p><strong>Gupton, James Ronald<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Expansiveness and Weaker Conditions&nbsp;<\/em><br \/>\r\nFaculty Advisor: Billy Bryant<\/p>\r\n\r\n<p><strong>Johnson, David Howard, Jr.<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>A Study of the Distribution of Lattice Points on Three Dimensional Spheres Using the Theory of Modular Functions&nbsp;<\/em><br \/>\r\nFaculty Advisor: Richard Arenstorf<\/p>\r\n\r\n<p><strong>Shiflet, Angela Gannon Buzzett<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Almost Completely Decomposable Groups&nbsp;<\/em><br \/>\r\nFaculty Advisor: Charles Megibben<\/p>\r\n\r\n<h3>1975<\/h3>\r\n\r\n<p><strong>Appleson, Robert Roy<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>The Cancellation Property for the Direct Product of Finite Structures&nbsp;<\/em><br \/>\r\nFaculty Advisor: Bjarni J&ouml;nsson<\/p>\r\n\r\n<p><strong>Fu, Yen-Tzu<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Perturbation and Approximation Theorems for Semigroups of Non-Linear Operators on Banach Spaces&nbsp;<\/em><br \/>\r\nFaculty Advisor: Glenn Webb<\/p>\r\n\r\n<p><strong>Klerlein, Joseph Ballard<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Line Dipseudographs&nbsp;<\/em><br \/>\r\nFaculty Advisor: Robert Hemminger<\/p>\r\n\r\n<p><strong>Piegari, George<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Automorphism and Subalgebra Structure in Universal Algebras&nbsp;<\/em><br \/>\r\nFaculty Advisor: Matthew Gould<\/p>\r\n\r\n<p><strong>Staples, Jo Ann Wade<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>On Some Subclasses of Well-Covered Graphs&nbsp;<\/em><br \/>\r\nFaculty Advisor: Michael Plummer<\/p>\r\n\r\n<p><strong>Staples, Phillip Osborne<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Distributional Boundary Values for Solutions to Elliptic Differential Equations&nbsp;<\/em><br \/>\r\nFaculty Advisor: John Kelingos<\/p>\r\n\r\n<h3>1974<\/h3>\r\n\r\n<p><strong>Linton, Ronald Charles<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Fully Invariant Subgroups of Totally Projective Groups&nbsp;<\/em><br \/>\r\nFaculty Advisor: Charles Megibben, III<\/p>\r\n\r\n<p><strong>Nelson, Donald Arthur<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>On the Structure of Critically 2- and 3-Connected Graphs&nbsp;<\/em><br \/>\r\nFaculty Advisor: Michael Plummer<\/p>\r\n\r\n<p><strong>Rankin, Samuel Murray<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Oscillation Theory for Second Order Elliptic Partial Differential Equations&nbsp;<\/em><br \/>\r\nFaculty Advisor: Curtis Travis<\/p>\r\n\r\n<p><strong>Strecker, Jutta<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>The Strong Cancellation Property for the Free Product of Bounded Distributive Lattices&nbsp;<\/em><br \/>\r\nFaculty Advisor: Stephen Comer<\/p>\r\n\r\n<h3>1973<\/h3>\r\n\r\n<p><strong>Bozeman, Robert Edward<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Periodic Solutions in the Plane Four-Body Problem of Mixed Circular-Elliptic Type&nbsp;<\/em><br \/>\r\nFaculty Advisor: Richard Arenstorf<\/p>\r\n\r\n<p><strong>Greenwell, Donald Lee<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Forbidden Subgraphs&nbsp;<\/em><br \/>\r\nFaculty Advisor: Robert Hemminger<\/p>\r\n\r\n<p>1972<\/p>\r\n\r\n<p><strong>Fitzgibbon, William Edward<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Nonlinear Cauchy Problems in Banach Spaces&nbsp;<\/em><br \/>\r\nFaculty Advisor: Glenn Webb<\/p>\r\n\r\n<p><strong>Yen, Chi Lin<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>The Convergence, Periodicity, and Rest-Point Behavior of Orbits in Nonlinear Semigroups of Contractions&nbsp;<\/em><br \/>\r\nFaculty Advisor: Glenn Webb<\/p>\r\n\r\n<h3>1971<\/h3>\r\n\r\n<p><strong>Bell, David Elliott<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Torsion Theories and Relative Homological Algebra&nbsp;<\/em><br \/>\r\nFaculty Advisor: Charles Megibben<\/p>\r\n\r\n<p><strong>Johns, Baxter<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>The Relation of Certain Annihilator Conditions to Quasi-Frobenius Rings&nbsp;<\/em><br \/>\r\nFaculty Advisor: Charles Megibben<\/p>\r\n\r\n<p><strong>Kinloch, John<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Generalized Prufer Rings&nbsp;<\/em><br \/>\r\nFaculty Advisor: Charles Megibben<\/p>\r\n\r\n<p><strong>Minor, Lee Hammack<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Pseudo-Expansive Mappings&nbsp;<\/em><br \/>\r\nFaculty Advisor: Billy Bryant<\/p>\r\n\r\n<h3>1970<\/h3>\r\n\r\n<p><strong>Goldman, Elizabeth Spencer<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Generators for Expansive Properties and Their Application to Lifting&nbsp;<\/em><br \/>\r\nFaculty Advisor: Billy Bryant<\/p>\r\n\r\n<p><strong>Hong, Dang Xuan<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Covering Relations Among Lattice Varieties&nbsp;<\/em><br \/>\r\nFaculty Advisor: Bjarni J&ouml;nsson<\/p>\r\n\r\n<p><strong>Linnstaedter, Jerry LeRoy<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>A Generalized Multistage Problem of Bolza in the Calculus of Variations&nbsp;<\/em><br \/>\r\nFaculty Advisor: Moffatt Boyce<\/p>\r\n\r\n<p><strong>Wallace, Kyle David<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>On the Classification and Structure of Abelian Groups&nbsp;<\/em><br \/>\r\nFaculty Advisor: Charles Megibben<\/p>\r\n\r\n<h3>1969<\/h3>\r\n\r\n<p><strong>Bang, Chang Mo<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Modules Over Complete Discrete Valuation Rings&nbsp;<\/em><br \/>\r\nFaculty Advisor: Charles Megibben<\/p>\r\n\r\n<p><strong>Coleman, Norman Pendleton, Jr.<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Projections in Continuous Function Spaces&nbsp;<\/em><br \/>\r\nFaculty Advisor: Lawrence Ratner<\/p>\r\n\r\n<p><strong>Kilgore, Mary Spruill<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Retracts, Deformations, and Borsuk&#39;s Notion of Shape&nbsp;<\/em><br \/>\r\nFaculty Advisor: Morris Marx<\/p>\r\n\r\n<p><strong>Metts, Isaac Spigner, Jr.<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>A Correcting Process for Solving Differential Equations Numerically by the Predictor-Corrector Method and an Investigation of its Effect on Propagated Error&nbsp;<\/em><br \/>\r\nFaculty Advisor: James Wesson<\/p>\r\n\r\n<p><strong>Wells, Carroll Glenn<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Weak Homotopy Lifting Properties&nbsp;<\/em><br \/>\r\nFaculty Advisor: Morris Marx<\/p>\r\n\r\n<h3>1968<\/h3>\r\n\r\n<p><strong>Hill, Edward Teber<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Ideals in the Modular Group Ring of a p-Group&nbsp;<\/em><br \/>\r\nFaculty Advisor: Donald Coleman<\/p>\r\n\r\n<p><strong>Whaley, Thomas Paul<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Algebras Satisfying the Descending Chain Condition for Subalgebras&nbsp;<\/em><br \/>\r\nFaculty Advisor: Bjarni J&ouml;nsson<\/p>\r\n\r\n<h3>1967<\/h3>\r\n\r\n<p><strong>Bateman, James Myron<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Finite Group Algebras with Solvable Unit Groups&nbsp;<\/em><br \/>\r\nFaculty Advisor: Donald Coleman<\/p>\r\n\r\n<h3>1966<\/h3>\r\n\r\n<p><strong>Wilson, Eric Leroy<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Loop Isotopy&nbsp;<\/em><br \/>\r\nFaculty Advisor: Billy Bryant<\/p>\r\n\r\n<h3>1965<\/h3>\r\n\r\n<p><strong>Bailey, Donald Forest<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>On Contractive and Expansive Mappings&nbsp;<\/em><br \/>\r\nFaculty Advisor: Billy Bryant<\/p>\r\n\r\n<p><strong>Nelson, Oscar Tivis, Jr.<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Subdirect Products of Finite Lattices&nbsp;<\/em><br \/>\r\nFaculty Advisor: Eugene Shanks<\/p>\r\n\r\n<p><strong>Williams, Richard Kelso<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Expansive Mappings&nbsp;<\/em><br \/>\r\nFaculty Advisor: Billy Bryant<\/p>\r\n\r\n<h3>1964<\/h3>\r\n\r\n<p><strong>Christy, John Harlan, Jr.<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Expansive Transformation Groups&nbsp;<\/em><br \/>\r\nFaculty Advisor: Billy Bryant<\/p>\r\n\r\n<h3>1963<\/h3>\r\n\r\n<p><strong>Depew, Rex Denwil<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>LaGrange Resolvent Transformations of Finite Ordered Point Sets in the Complex Plane&nbsp;<\/em><br \/>\r\nFaculty Advisor: Moffatt Boyce<\/p>\r\n\r\n<p><strong>Jones, William Branham<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Contributions to the Theory of Thron Continued Fractions&nbsp;<\/em><br \/>\r\nFaculty Advisor: Moffatt Boyce<\/p>\r\n\r\n<h3>1959<\/h3>\r\n\r\n<p><strong>Carter, Harvey Pate<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Modular Lattices Induced by Finite Groups&nbsp;<\/em><br \/>\r\nFaculty Advisor: Eugene Shanks<\/p>\r\n\r\n<h3>1958<\/h3>\r\n\r\n<p><strong>Rouse, Herbert Ronald<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Topological Dynamics and a Partly Ordered Set of Topologies&nbsp;<\/em><br \/>\r\nFaculty Advisor: Laurence Ratner<\/p>\r\n\r\n<h3>1956<\/h3>\r\n\r\n<p><strong>Rolf, Howard Leroy<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>The Free Lattice Generated by a Set of Chains&nbsp;<\/em><br \/>\r\nFaculty Advisor: Eugene Shanks<\/p>\r\n\r\n<h3>1954<\/h3>\r\n\r\n<p><strong>Bryant, Billy Finney<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Unstable Self-Homeomorphisms of a Compact Space&nbsp;<\/em><br \/>\r\nFaculty Advisor: Lawrence Ratner<\/p>\r\n\r\n<h3>1953<\/h3>\r\n\r\n<p><strong>Jordon, Thomas Lee, Jr.<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Generalized Metric Lattices and Lattices of Subgroups&nbsp;<\/em><br \/>\r\nFaculty Advisor: Eugene Shanks<\/p>\r\n\r\n<p><strong>Wesson, James Robert<\/strong><br \/>\r\nPh. D. Thesis:&nbsp;<em>Finite Plane Projective Geometries&nbsp;<\/em><br \/>\r\nFaculty Advisor: Eugene Shanks<\/p><\/div><\/div><\/div>\n\n<!-- END PANEL * ID 10432 -->\n\n\n<\/div><!-- END ACCORDION * AID 10432 -->\n\n\n","protected":false},"excerpt":{"rendered":"<p>Your Success Story Is Waiting\u2026 Our Ph.D. students gain invaluable, hands-on experience in research and teaching, in close partnership with our world-class faculty. They reach great heights in academia and succeed in a wide variety of other careers as well. 2026 Le Gong Ph.D. Thesis: Dynamical Sampling for Source Recovery Faculty Advisor: Akram Aldroubi First&#8230;<\/p>\n","protected":false},"author":74,"featured_media":1237,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"page-headline-img.php","meta":[],"tags":[],"acf":[],"_links":{"self":[{"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/pages\/53"}],"collection":[{"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/users\/74"}],"replies":[{"embeddable":true,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/comments?post=53"}],"version-history":[{"count":39,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/pages\/53\/revisions"}],"predecessor-version":[{"id":1931,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/pages\/53\/revisions\/1931"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/media\/1237"}],"wp:attachment":[{"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/media?parent=53"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/tags?post=53"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}