# Mathematics Ph.D. Degree Recipients

## 2022

**Name:**Clifton, Alexander**Advisor:**Hao Huang**Dissertation:**Half Covering, Half Coloring

**Name:**Guhan, Jayanth**Advisor:**Suresh Venapally**Dissertation:**Local-global principles for hermitian spaces over semi-global fields

**Name:**Huang, Ru**Advisor:**Yuanzhe Xi**Dissertation:**Improving Multigrid Methods with Deep Neural Networks

**Name:**Ji, Yuliang**Advisor:**Yuanzhe Xi**Dissertation:**Generating Graphs with Deep Learning and Graph Theory

**Name:**Jones, Kenny**Advisor:**David Borthwick**Dissertation:**The Laplace and Heat Operators on Quantum Graphs

**Name:**Meng, Chang**Advisor:**James Nagy**Dissertation:**Large-Scale Inverse Problems: Low-Rank Approximations and Optimization

## 2021

**Name:**Khaqan, Maryam**Advisor:**John Duncan**Dissertation:**Moonshine and Elliptic Curves

**Name:**Reiter, Tomer**Advisor:**David Zureick-Brown**Dissertation:**Isogenies of Elliptic Curves and Arithmetical Structures on Graphs

## 2020

**Name:**Beneish, Lea**Advisor:**David Zureick-Brown**Dissertation:**Connections between mock modular forms and vertex operator algebras

**Name:**Elliott, Bradley**Advisor:**Vojtech Rodl**Dissertation:**Increasing paths in edge-ordered hypergraphs

**Name:**Mishra, Sumit Chandra**Advisor:**Suresh Venapally**Dissertation:**Local-Global Principles for Norm One Tori and Multinorm Tori over Semi-Global Fields

**Name:**Morrow, Jackson**Advisor:**David Zureick-Brown**Dissertation:**Non-Archimedean and Tropical Techniques in Arithmetic Geometry

## 2019

**Name:**Aricheta, Victor**Advisor:**John Duncan**Dissertation:**Monstrous moonshine, elliptic curves and vertex algebras

**Name:**Barone, Alessandro**Advisor:**Alessandro Veneziani**Dissertation:**Patient-Specific Modeling in Cardiac Electrophysiology: Parameter Estimation and Personalization

**Name:**Dawsey, Madeline**Advisor:**Ken Ono**Dissertation:**New Results on Partitions, Prime Numbers, and Moonshine

**Name:**Guzzetti, Sofia**Advisor:**Alessandro Veneziani**Dissertation:**Reduced Models and Parallel Computing for Uncertainty Qualifications in Cardiovascular Mathematics

**Name:**Hu, Yunyi**Advisor:**James Nagy**Dissertation:**Matrix Computations and Optimization for Spectral Computed Tomography

**Name:**Wagner, Ian**Advisor:**Ken Ono**Dissertation:**Topics in the Analytic Theory of L-Functions and Harmonic Maass Forms

**Name:**Wu Fung, Samy**Advisor:**Lars Ruthotto**Dissertation:**Large-Scale Parameter Estimation in Geophysics and Machine Learning

## 2018

**Name:**Beckwith, Oliva**Advisor:**Ken Ono**Dissertation:**Maass forms and modular forms: applications to class numbers and partitions

**Name:**Garvey, Clarissa**Advisor:**James Nagy**Dissertation:**Truncated Singular Value Decomposition Approximation for Structured Matrices via Kronecker Product Summation Decomposition

**Name:**Haase, Bastian**Advisor:**Parimala Raman**Dissertation:**Patching and Local-Global Principles for Gerbes over Semi-Global Fields with an Application to Homogeneous Spaces

**Name:**Herring, James**Advisor:**Lars Ruthotto**Dissertation:**Efficient Solvers for Nonlinear Problems in Imaging

**Name:**Keller, Ariel**Advisor:**Ronald Gould**Dissertation:**On Cycles, Chorded Cycles, and Degree Conditions

**Name:**Lupo Pasini, Massimiliano**Advisor:**Michele Benzi**Dissertation:**Deterministic and Stochastic Acceleration Techniques for Richardson-Type Iterations

**Name:**Morrissey, Charles**Advisor:**Davis Zureick-Brown**Dissertation:**Topics in Tropical and Analytic Geometry

**Name:**Schneider, Robert**Advisor:**Ken Ono**Dissertation:**Eulerian Series, Zeta Functions and the Arithmetic of Partitions

**Name:**Shull, Warren**Advisor:**Ronald Gould**Dissertation:**On Spanning Trees with Few Branch Vertices

**Name:**Trebat-Leder, Sarah**Advisor:**Ken Ono**Dissertation:**Connections between Classical and Umbral Moonshine

**Name:**Viguerie, Alexander**Advisor:**Alessandro Veneziani**Dissertation:**Efficient, Stable, and Reliable Solvers for the Steady Incompressible Navier-Stokes Equations in Computational Hemodynamics

## 2017

**Name:**Fuller, Jessica**Advisor:**Ron Gould**Dissertation:**On Saturation Specturm

**Name:**Gordon-Sarney, Reed**Advisor:**Parimala Raman**Dissertation:**Zero-Cycles on Tornors under Linear Algebraic Groups

**Name:**Kay, William**Advisor:**Dwight Duffus and Vojtech Rodl**Dissertation:**External Problems for Graphs and Hypergraphs

## 2016

**Name:**Bhaskhar, Nivedita**Advisor:**Raman Parimala**Dissertation:**R-Equivalence and Norm Principles in Algebraic Groups

**Name:**Chen, Isabel**Advisor:**Michele Benzi**Dissertation:**Centrality Measures and Contagion on Temporal Networks

**Name:**Clemm, Amanda**Advisor:**Ken Ono**Dissertation:**Elliptic Curves, Eta-Quotients, and Weierstrass Mock Modular forms

**Name:**Etropolski, Anastassia**Advisor:**David-Zureick-Brown**Dissertation:**Rational Points on Curves

**Name:**Retter, Troy**Advisor:**Vojtech Rodl**Dissertation:**Some Ramsey-Type Theorems

**Name:**Shi, Huiqiang**Advisor:**Shanshuang Yang**Dissertation:**Harmonic Measure, Reduced Extremal Length and Quasicircles

**Name:**Thorner, Jesse**Advisor:**Ken Ono**Dissertation:**Topics in analytic number theory

**Name:**West, Mckenzie**Advisor:**David Zureick-Brown**Dissertation:**Brauer-Manin Computations for Surfaces

**Name:**Wu, Zhengyao**Advisor:**Venapally Suresh**Dissertation:**Haase Principle for Hermitian Spaces

## 2015

**Name:**Bertagna, Luca**Advisor:**Alessandro Veneziani**Dissertation:**Reliable Direct and Inverse Methods in Computational Hemodynamics

**Name:**Bhat, Vindya**Advisor:**Vojtech Rodl**Dissertation:**Ramsey and Turian-Type Theorems for Hypergraphs

**Name:**Cream, Megan**Advisor:**Ron Gould**Dissertation:**On Chorded Cycles

**Name:**Griffin, Michael**Advisor:**Ken Ono**Dissertation:**Applications of Harmonic Maass Forms

**Name:**Larsen, Victor**Advisor:**Ron Gould and Luke Postle**Dissertation:**An E Improvement in the Asymptotic Density of k-Critical Graphs

**Name:**Yang, Boyi**Advisor:**Alessandro Venezinai**Dissertation:**Numerical Modeling of Blood Flow Problems in Coronary Arteries: Patient-Specific Processing, from Stented Geometries to Fluid Dynamics

**Name:**Yang, Huanhuan**Advisor:**Alessandro Veneziani**Dissertation:**Parameter Estimation and Reduced-ORder Modeling in Electrocardiology

## 2014

**Name:**Berisha, Sebastian**Advisor:**James Nagy**Dissertation:**Inverse Problems in Hyperspectral Imaging

**Name:**Bermudez, Hernando**Advisor:**Skip Garibaldi**Dissertation:**Linear Preserver Problems and Cohomological Invariants

**Name:**Jameson, Marie**Advisor:**Ken Ono**Dissertation:**Combinatorial Objects at the Interface of q-Series and Modular Forms

**Name:**Klymko, Christine**Advisor:**Michele Benzi**Dissertation:**Centrality and Communicability Measures in Complex Networks; Analysis and Algorithms

**Name:**Philipp, Pascal**Advisor:**David Borthwick**Dissertation:**Resonance asymptotics for asymptotically hyperbolic manifolds with warped-product ends

**Name:**Svishheva, Anastasia**Advisor:**Alessandro Veneziani**Dissertation:**Analysis and simulations of Bingham fluid problems with Papanastasiou-like regularizations: Primal and Dual formulations

**Name:**Zou, Wenfei**Advisor:**Shanshuang Yang**Dissertation:**Characterization of Quasiconformal Mappings and Extremal Length Decomposition

## 2013

**Name:**Chu, Qing**Advisor:**James Nagy**Dissertation:**Numerical Methods for Wavefront Reconstruction

**Name:**La Fleur, Steven**Advisor:**Vojtech Rodl**Dissertation:**On Problems in Extremal Graph Theory and Ramsey Theory

**Name:**Lemke Oliver, Robert**Advisor:**Ken Ono**Dissertation:**Topics in Analytic Number Theory

**Name:**Mejia Bustamante, Veronica**Advisor:**James Nagy**Dissertation:**Iterative Polyenegrgetic Digital Tomosynthesis Reconstructions for Breast Cancer Screening

**Name:**Rolen, Larry**Advisor:**Ken Ono**Dissertation:**Maass forms and quantum modular forms

## 2012

**Name:**Aposporidis, Alexis**Advisor:**Alessandro Veneziani**Dissertation:**Numerical Analysis of Mixed Formulations for Bingham Fluids

**Name:**Choi, Eric**Advisor:**Igor Belegradek**Dissertation:**Rotationally Symmetric Planes in Comparison Geometry

**Name:**Crompton, Catherine**Advisor:**David Borthwick**Dissertation:**Asymptotics of Resonances for Radial Potential Scattering in Hyperbolic Space

**Name:**Dellamonica, Domingos Jr.**Advisor:**Vojtech Rodl**Dissertation:**Topics in Ramsey Theory

**Name:**Fernandes, Praphat**Advisor:**Aaron Abrams**Dissertation:**Quasi Isometric Properties of Graph Braid Groups

**Name:**Janiszewski, Susan**Advisor:**Ron Gould**Dissertation:**3-Connected, Claw-Free, Generalized Net-Free Graphs are Hamiltonian

**Name:**Kuhlemann, Verena**Advisor:**Michele Benzi**Dissertation:**Iterative Methods and Partitioning Techniques for Large Sparse Problems in Network Analysis

**Name:**Lee, Sangjune**Advisor:**Vojtech Rodl**Dissertation:**Problems on Sidon sets of integers

**Name:**Palta, Hasan**Advisor:**Vladimir Oliker**Dissertation:**Some Mathematical Problems in Design of Free-Form Mirrors and Lenses

**Name:**Villa, Umberto**Advisor:**Alessandro Veneziani**Dissertation:**Scalable Efficient Methods for Incompressible Fluid-dynamics in Engineering Problems

## 2011

**Name:**Black, Jodi**Advisor:**Raman Parimala**Dissertation:**Zero Cycles of Degree One on Principal Homogeneous Spaces

**Name:**D'Elia, Marta**Advisor:**Alessandro Veneziani**Dissertation:**Assimilation of velocity data into ﬂuid dynamic simulations, an application to computational hemodynamics

**Name:**Hamilton, Steven**Advisor:**Michele Benzi**Dissertation:**Numerical Solution of the k-Eigenvalue Problem

**Name:**Knepper, Sarah**Advisor:**James Nagy**Dissertation:**Large-Scale Inverse Problems in Imaging: Two Case Studies

**Name:**Magnant, Zhuojun Tang**Advisor:**Eldad Haber and James Nagy**Dissertation:**Numerical Methods for Optimal Experimental Design of Ill-Posed Problems

**Name:**Thomas, Sean**Advisor:**Emily Hamilton**Dissertation:**Complex iso-length-spectrality in arithmetic hyperbolic 3-manifolds

**Name:**Wang, Zhen**Advisor:**Michele Benzi**Dissertation:**Preconditioning Techniques for the Incompressible Navier-Stokes Equations

**Name:**Wrayno, Paul**Advisor:**Ronald Gould**Dissertation:**On the Number of Edges in 2-factor Isomorphic Graphs

## 2010

**Name:**Amin, Kinnari**Advisor:**Ronald Gould**Dissertation:**On Kt-saturated Graphs

**Name:**Chen, Feng**Advisor:**Eric Brussel**Dissertation:**Field Patching and Galois Cohomology

**Name:**Fan, Ying Wai**Advisor:**James Nagy**Dissertation:**Practical Image Deblurring with Synthetic Boundary Conditions, with GPUs, and with Multiple Frames

**Name:**Graf, Tobias**Advisor:**Vladimir Oliker**Dissertation:**On the Near-Field Reflector Problem and Optimal Transport

**Name:**Horesh, Raya**Advisor:**Eldad Haber**Dissertation:**Numerical Optimization for Transport and Registration Problems

**Name:**Nguyen, Ha**Advisor:**Victoria Powers**Dissertation:**Polynomials Nonnegative on Noncompact Subsets of the Plane

## 2009

**Name:**Chung, Julianne**Advisor:**James G. Nagy**Dissertation:**Numerical Approaches for Large-Scale Ill-Posed Inverse Problems

**Name:**Gehrke, Silke**Advisor:**Ronald Gould**Dissertation:**Hamiltonicity and Pancyclicity of 4-connected, Claw- and Net-free Graphs

**Name:**Helenius, Fred**Advisor:**Skip Garibaldi**Dissertation:**Freudenthal triple systems via root system methods

**Name:**Malagon, Audrey**Advisor:**Skip Garibaldi**Dissertation:**Killing forms of Lie algebras

**Name:**Martin, Daniel**Advisor:**Vojtech Rodl**Dissertation:**Nearly Perfect Packings

**Name:**Shemmer, Benjamin**Advisor:**Vojtech Rodl**Dissertation:**On Graphs with a Given Endomorphism Monoid

**Name:**Wendykier, Piotr**Advisor:**James Nagy**Dissertation:**High Performance Java Software for Image Processing

## 2008

**Name:**Avart, Christian**Advisor:**Vojtech Rodl**Dissertation:**Colorful Flowers

**Name:**Castle, Mari**Advisor:**Victoria Powers**Dissertation:**Polya's Theorem with Zeros

**Name:**Dudek, Andrzej**Advisor:**Vojtech Rodl**Dissertation:**Problems in Extremal Combinatorics

**Name:**Magnant, Colton**Advisor:**Ronald Gould**Dissertation:**Partitions of Graphs under Distance Contraints

**Name:**Nastase, Esmeralda**Advisor:**Votech Rodl**Dissertation:**Color Criticality and Chromatic Connectivity of Graphs

**Name:**Poerschke, Annika**Advisor:**Vojtech Rodl**Dissertation:**On Algorithmic Hypergraph Regularity

**Name:**Razouk, Nader**Advisor:**Michele Benzi**Dissertation:**Localization Phenomena in Matrix Functions: Theory and Algorithms

## 2007

**Name:**Hanson, Lauren**Advisor:**Eldad Haber**Dissertation:**Techniques in constrained optimization involving partial differential equations

**Name:**Kurzyniec, Dawid**Advisor:**Vaidy Sunderam**Dissertation:**Towards Lightweight and Reconfigurable Resources Sharing Frameworks

**Name:**Zich, Jan**Advisor:**Vojtech Rodl**Dissertation:**Hajos Conjecture and Triangulations

## 2006

**Name:**Berger, Andre**Advisor:**Michelangelo Grigni, Ojas Parekh**Dissertation:**Faster Minimum Weight Subgraph Algorithms

**Name:**Liu, Jia**Advisor:**Michele Benzi**Dissertation:**Preconditioned Krylov Subspace Methods for Incompressible Flow Problems

**Name:**Powell, Jeffrey**Advisor:**Ronald Gould**Dissertation:**Two Questions about Connectivity in Graphs

**Name:**Tengan, Eduardo**Advisor:**Eric Brussel, Vojtech Rodl**Dissertation:**Cohomology on surfaces; a Ramsey problem

**Name:**Wagner, Brian**Advisor:**Ronald Gould**Dissertation:**Subgraph Sequences in Graphs and Digraphs

## 2005

**Name:**Crane, Brian**Advisor:**Ronald J. Gould**Dissertation:**Forbidden Subgraphs And (k,m)-pancyclic Graphs

**Name:**Ferrara, Mike**Advisor:**Ronald J. Gould**Dissertation:**The Degree Stripping Method For Potentially H-Graphic Sequences

**Name:**Garten, Heather**Advisor:**Jennifer Schultens**Dissertation:**Satellite Graphs

**Name:**Schmitt, John**Advisor:**Ronald J. Gould**Dissertation:**On Potentially P-Graphic Degree Sequences And Saturated Graphs

**Name:**Siggers, Mark**Advisor:**Vojtech Rödl, Eric Brussel**Dissertation:**Hypergraph Packings And Galois Cohomology

**Name:**Tansey, Gerry**Advisor:**Ronald J. Gould**Dissertation:**On Strong Connectivity And Cycles In Graphs

## 2004

**Name:**Palmer, Katrina**Advisor:**James Nagy**Dissertation:**Regularization of Quasi-Newton Methods: Applied to Image Restoration

**Name:**Perrone, Lisa**Advisor:**James Nagy**Dissertation:**Kronecker Products in Image Restoration

**Name:**Schacht, Mathias**Advisor:**Vojtech Rödl**Dissertation:**On the Regularity Method for Hypergraphs

**Name:**Wilson, Ulrica**Advisor:**Eric Brussel**Dissertation:**Cyclicity of Division Algebras Over an Arithmetically Nice Field

## 2003

**Name:**Glimm, Tilmann**Advisor:**Rudolf Schmid**Dissertation:**Supersymplectic Reduction

**Name:**Sissokho, Papa**Advisor:**Vojtech Rödl, Michelangelo Grigni**Dissertation:**Light Spanners and Sparse Pseudorandom Graphs

**Name:**Whalen, Thor**Advisor:**Ronald J. Gould**Dissertation:**Degree Conditions and Relations to Distance, Extendibility, and Levels of Connectivity in Graphs

## 2002

**Name:**Pfender, Florian**Advisor:**Ronald J. Gould**Dissertation:**Four Problems in Extremal Graph Theory

## 2001

**Name:**Bailey, Dionne**Advisor:**Victoria Powers**Dissertation:**Computational Approaches to Representation Theorems for Finitely Generated Real Algebras

**Name:**Dementieva, Yulia**Advisor:**Vojtech Rödl**Dissertation:**Equivalent Conditions for Hypergraph Regularity

**Name:**Hunt, Jason**Advisor:**Ronald J. Gould**Dissertation:**Forbidden Triples in Pancyclic Graphs

**Name:**Peng, Yuejian**Advisor:**Vojtech Rödl, Andrzej Rucinski**Dissertation:**Counting Samll Cliques in the 3-Uniform Hypergraph

## 2000

**Name:**Brania, Abdelkrim**Advisor:**Shanshuang Yang**Dissertation:**The Controlled Modulus Condition and Quasiconformality in Metric Spaces

**Name:**Hynds, Emily**Advisor:**Ronald J. Gould**Dissertation:**On the Structure of 2-Factors in Line Graphs

**Name:**Kanarsky, Margarita**Advisor:**Shanshuang Yang**Dissertation:**On Quasicircles and Dilatations of Quasisymmetric Homeomorphisms

**Name:**Robinson, Maria K.**Advisor:**Jennifer Schultens**Dissertation:**Classification of Heegaard Splittings for (Compact Nonorientable Surface) x S^1

**Name:**Skokan, Joseph**Advisor:**Vojtech Rödl**Dissertation:**Uniformity of Set Systems

**Name:**Xu, Taixi**Advisor:**Rudolf Schmid**Dissertation:**Finite Dimensional Completely Integrable Hamiltonian Systems Associated with Soliton Equations

## 1999

**Name:**Kochengin, Sergey**Advisor:**Vladimir Oliker**Dissertation:**Reflector Construction Problems

**Name:**Nagle, Brendan**Advisor:**Vojtech Rödl**Dissertation:**Regularity Properties for Triple Systems

**Name:**Wagner, Michelle**Advisor:**Vojtech Rödl**Dissertation:**A Constructive Version of the Blow-UP Lemma

**Name:**Wolf, Allison**Advisor:**Ronald J. Gould**Dissertation:**On the Chromatic Number of Graphs Determined by Pairs of Forbidden Subgraphs

## 1998

**Name:**Czygrinow, Andrzej**Advisor:**Vojtech Rödl**Dissertation:**Constructive Version of the Regularity Lemma and its Applications

**Name:**Faudree, Jill**Advisor:**Ronald J. Gould**Dissertation:**2-Factors and k-Orderability in Graphs

**Name:**Krzastek, Kathleen M.**Advisor:**Victoria Powers**Dissertation:**Describing Convex Polygons in R2 with Three Inequalities

**Name:**Laval, Philippe**Advisor:**Vladimer Oliker**Dissertation:**The Mean Curvature Flow Problem: Numerical Solution and Applications Image

**Name:**Lu, Xiaowu**Advisor:**Rudolf Schmid**Dissertation:**Symplectic Integration for Hamiltonian Systems and Applications

**Name:**Nardo, John Christopher**Advisor:**Jennifer Schultens, Yuanan Diao**Dissertation:**Equally Random Polygons are Globally Knoted

## 1997

**Name:**Pilyugin, Sergi S.**Advisor:**Paul Waltman**Dissertation:**Two Models of a Chemostat

## 1996

**Name:**De Maio, Joe**Advisor:**Robert Roth**Dissertation:**The Embedding of a 2-( C(n,2), n/2,1) Design in a Projective Plane of Even Order n

**Name:**Fuller, Allen**Advisor:**Ronald J. Gould**Dissertation:**On {K(1,3),Z2}-free Graphs

**Name:**Goddard, Ted**Advisor:**Dwight Duffus**Dissertation:**Ordered Sets, Coloring and Complexity

**Name:**Thoma, Lubos**Advisor:**Vojtech Rödl**Dissertation:**Essays in Extremal Combinatorics

**Name:**Vysotina, Victoria**Advisor:**Vladimir Oliker**Dissertation:**Generalized Soultion of the Boundary Value Problem on S(n) for Polyhedrons with Prescribed Integral Curvature

## 1995

**Name:**Carroll, Blayne**Advisor:**Ronald J. Gould**Dissertation:**Subgraph Transformations: A Generalization of Line Graphs

**Name:**Gunderson, David Shane**Advisor:**Vojtech Rödl**Dissertation:**Extremal Problems on Boolean Algebras, Sum-Sets and Hypergraphs

**Name:**Harris, John**Advisor:**Ronald J. Gould**Dissertation:**Forbidden Triples of Subgraphs and Traceability

**Name:**Wysocka, Beata**Advisor:**Vojtech Rödl**Dissertation:**Some Results in Anti-Ramsey Theory

## 1994

**Name:**Acree, F. Glenn**Advisor:**Ronald J. Gould**Dissertation:**Hamiltonian Problems and the Forbidden Subgraph Method

**Name:**Ginn, Mark**Advisor:**Dwight Duffus, Vojtech Rödl**Dissertation:**On the Computational Complexity of Ordered Subgraph Recognition

**Name:**Sun, Quicun**Advisor:**Rudolf Schmid**Dissertation:**Relativistic Theories in f-Atlas

**Name:**Yang, Xinfa**Advisor:**Rudolf Schmid**Dissertation:**On Backlund Transformations for Nonlinear Differential Equations

## 1993

**Name:**Arasmith, David**Advisor:**Peter Winkler**Dissertation:**Disjoint Maximal Independent Sets

**Name:**Newman, Elsa**Advisor:**Vladmir Oliker**Dissertation:**Some Problems is Geometric Optics: Reflector Synthesis and Analysis

**Name:**Pennington, Robin**Advisor:**Paul Waltman**Dissertation:**A Risk Based Model of the Effect of Cofactors on the Spread of Acquired Immunodeficiency Syndrome

## 1992

**Name:**Eaton, Nancy**Advisor:**Vojtech Rödl**Dissertation:**Some Problems in Graph Ramsey Theory and Set Representations of Graphs

**Name:**Williamson, Sylvia**Advisor:**Dwight Duffus**Dissertation:**Fixed Point Properties and Ordered Sets

## 1991

**Name:**Ellermeyer, Sean**Advisor:**Paul Waltman**Dissertation:**Delayed Growth Response in Models of Microbial Growth and Competition in Continuous Culture

**Name:**Fletcher, Raymond Russwald**Advisor:**Trevor Evans**Dissertation:**Unique Path Property Digraphs

**Name:**Gersdorff, Graham Scott**Advisor:**Paul Waltman**Dissertation:**Singular Nonlinear Second Order Boundary Value Problems

## 1989

**Name:**Robinson, David Guy**Advisor:**Dwight Duffus**Dissertation:**Symmetric Chain Decompositions of the Lattice of Subspaces of a Finite Vector Space

## 1988

**Name:**Lindquester, Terri England**Advisor:**Ronald J. Gould**Dissertation:**The Effects of Distance and Adjacency Conditions on Hamiltonian Properties in Graphs

## 1987

**Name:**Cho, Jung Rae**Advisor:**Trevor Evans**Dissertation:**Transitive Orientation and Recognition of Comparability Graphs

**Name:**Sherr, Joseph Samuel**Advisor:**Ronald J. Gould**Dissertation:**General and Connected Ramsey Theory for Graphs

## 1986

**Name:**Gikas, Miltiades**Advisor:**Dwight Duffus**Dissertation:**Fixed Points and Decompositions of Ordered Sets

## 1984

**Name:**Fichtner, Ronald Raymond**Advisor:**Philip C. Tonne**Dissertation:**The Closed Graph Theorem and Perfect Sequence Spaces

**Name:**Pedersen, John F.**Advisor:**Trevor Evans**Dissertation:**Confluence Methods and the Word Problem in Universal Algebra

## 1981

**Name:**Fogwell, Thomas Wilson**Advisor:**Luis Kramarz**Dissertation:**Collocation Methods for Inverse Problems for Differential Equations

**Name:**Francel, Margaret Ann**Advisor:**Trevor Evans**Dissertation:**Self-Conjugate Sets of Mutually Orthogonal Latin Squares

**Name:**Jensen, Richard Alan**Advisor:**Henry Sharp, Jr.**Dissertation:**A Study of Selfcomplimentary Hypergraphs

**Name:**Johnson, Corlis Powell**Advisor:**Trevor Evans**Dissertation:**Constructions of Neofields and Right Neofields

## 1980

**Name:**Bozeman, Sylvia D. Trimble**Advisor:**Luis Kramarz**Dissertation:**Representations of Generalized Inverses of Fredholm Operators

**Name:**Jacobson, Michael Scott**Advisor:**Henry Sharp, Jr.**Dissertation:**On Various Extensions of Ramsey Theory

## 1978

**Name:**Bakker, William Clark**Advisor:**John W. Neuberger**Dissertation:**A Method of Iteration for Solving Functional Differential Equations with Advanced and Retarded Arguments

**Name:**John, David Jerome**Advisor:**Mary F. Neff**Dissertation:**On the Structure of the 'Free' Distributively Generated Near-Ring

## 1977

**Name:**Garrett, Ronald Francis**Advisor:**Trevor Evans**Dissertation:**Some Problems Concerning Residual Finiteness in Algebras

**Name:**Parker, George Edgar**Advisor:**John W. Neuberger**Dissertation:**Construction and Differentiable Approximation of Semigroups of Nonlinear Transformations

**Name:**Taliaferro, Dickenson Moore**Advisor:**Clay C. Ross, Jr.**Dissertation:**Functional Equations in Linear Squares

## 1976

**Name:**Caine, Bruce Randolph**Advisor:**Trevor Evans**Dissertation:**Finite Equationally Complete Algebras in Congruence Permutable Varieties

**Name:**de Caux, Peter Anthony**Advisor:**John W. Rogers, Jr.**Dissertation:**Two Topological Spaces

**Name:**Pate Jr., Thomas H.**Advisor:**John W. Neuberger**Dissertation:**Some Improvements in Neuberger's Iteration Procedure for Solving Partial Differential Equations

**Name:**Peeples, Donald Richard**Advisor:**Robert L. Kruse**Dissertation:**Algebras with a Modular Subalgebra Lattice

**Name:**Ross, Sharon Cutler**Advisor:**Chang Bang**Dissertation:**A Classification of Modules over Discrete Valuation Rings

**Name:**Stucke, Carl H.**Advisor:**John W. Rogers, Jr.**Dissertation:**Embedding One-Dimensional Continua in the Product of an Arc and a Simple Triod

## 1974

**Name:**Cruse, Allan B.**Advisor:**Trevor Evans**Dissertation:**Some Combinatorial Problems in Universal Algebra

**Name:**Jacob Jr., Roy Thomas**Advisor:**Philip Tonne**Dissertation:**Matrix Transformations on Analytic Sequence Spaces

**Name:**Petrides, Julia Tennant**Advisor:**Henry Sharp, Jr.**Dissertation:**Locally Complete Graphs

**Name:**Smith, Michel**Advisor:**William S. Mahavier**Dissertation:**The Irreducibility of Continua which are the Inverse Limit of a Collection of Generalized Hausdorff Arcs

**Name:**Stricklen Jr., Simon Albert**Advisor:**William S. Mahavier**Dissertation:**Images of Metric Spaces under Closed Mappings

## 1973

**Name:**Aust, Mary Catherine**Advisor:**Trevor Evans**Dissertation:**Automorphisms and Primitive Elements in Free Algebras

**Name:**Mcmorris, Jewell Edna**Advisor:**William S. Mahavier**Dissertation:**A Characterization of Clans whose Underlying Spaces are Planar Compactifications of a Ray

**Name:**Pace, Jack R.**Advisor:**Clay C. Ross, Jr.**Dissertation:**Integral Equations and Interface Conditions

**Name:**Wagner, Stephen Scott**Advisor:**John W. Neuberger**Dissertation:**Maximizing the Likelihood Function Associated with Contingency Tables having A-Priori Zeros

## 1972

**Name:**Carlisle, Ronald L.**Advisor:**John W. Rogers, Jr.**Dissertation:**Monotone Maps and Maps between Graphs

## 1971

**Name:**Eslinger, Robert Clayton**Advisor:**John W. Neuberger**Dissertation:**An Implicit Function Theorem with Applications to Locally Banach Semigroups with Identity

**Name:**Hartman, Phillip Alan**Advisor:**Trevor Evans**Dissertation:**Ordered Quasigroups and Loops

**Name:**Holmes III, John Parham**Advisor:**John W. Neuberger**Dissertation:**Partial Groupoids on a Banach Space

**Name:**Kropa, James Combs**Advisor:**William S. Mahavier**Dissertation:**Topological Semigroups with Identity Metrizability and Embeddability

**Name:**May Jr., Everette Lee**Advisor:**John W. Neuberger**Dissertation:**Nonlinear Spectral Theory

**Name:**Merryman Sr., Emory Hughes**Advisor:**William S. Mahavier**Dissertation:**Applications of Category Theory to Normed Linear Spaces

**Name:**Robertson, Muril Lynn**Advisor:**John W. Neuberger**Dissertation:**Functional Differential Equations

## 1970

**Name:**Carlisle III, W. Homer**Advisor:**Trevor Evans**Dissertation:**Some Problems in the Theory of Semigroup Varieties

## 1969

**Name:**Clark, David M.**Advisor:**Trevor Evans**Dissertation:**Some Problems Concerning Free Algebras

**Name:**Falconer, Etta Z.**Advisor:**Trevor Evans**Dissertation:**Quasigroup Identities Invariant Under Isotopy

**Name:**Irwin, Caulton Lee**Advisor:**John W. Neuberger**Dissertation:**Green's Functions and Inverting Operators for Singular Boundary Value Problems

**Name:**Lindner, Charles Curtis**Advisor:**Trevor Evans**Dissertation:**Some Embedding Theorems for Partial Latin Squares

**Name:**Russell, Mary Jean**Advisor:**William S. Mahavier**Dissertation:**Monotone Upper Semi-Continuous Decompositions of Continual Irreducibles About a Finite Subset

**Name:**Treash, Anne Christine**Advisor:**Trevor Evans**Dissertation:**Inverse Property Loops and Related Steiner Triple Systems

## 1968

**Name:**Spellmann, John Winston**Advisor:**John W. Neuberger**Dissertation:**Solutions to U - FU in a Banach Space

**Name:**Webb, Glenn Francis**Advisor:**John W. Neuberger**Dissertation:**Semi-Groups of Nonlinear Nonexpansive Transformations in Banach Spaces

## 1966

**Name:**Rutledge, Dorothy Stallworth**Advisor:**John W. Neuberger**Dissertation:**One-Parameter Semigroups of Continuous Nonlinear Transformations

**Name:**Saade, John Marshall**Advisor:**Trevor Evans**Dissertation:**Some Problems Concerning Identities in Algebra