Mathematics Ph.D. Degree Recipients

2009

  • Chung, Julianne
    Advisor: James G. Nagy
    Dissertation: Numerical Approaches for Large-Scale Ill-Posed Inverse Problems
  • Gehrke, Silke
    Advisor: Ronald Gould
    Dissertation: Hamiltonicity and Pancyclicity of 4-connected, Claw- and Net-free Graphs
  • Helenius, Fred
    Advisor: Skip Garibaldi
    Dissertation: Freudenthal triple systems via root system methods
  • Malagon, Audrey
    Advisor: Skip Garibaldi
    Dissertation: Killing forms of Lie algebras
  • Martin, Daniel
    Advisor: Vojtech Rodl
    Dissertation: Nearly Perfect Packings
  • Shemmer, Benjamin
    Advisor: Vojtech Rodl
    Dissertation: On Graphs with a Given Endomorphism Monoid

2008

  • Avart, Christian
    Advisor: Vojtech Rodl
    Dissertation: Colorful Flowers
  • Castle, Mari
    Advisor: Victoria Powers
    Dissertation: Polya's Theorem with Zeros
  • Dudek, Andrzej
    Advisor: Vojtech Rodl
    Dissertation: Problems in Extremal Combinatorics
  • Magnant, Colton
    Advisor: Ronald Gould
    Dissertation: Partitions of Graphs under Distance Contraints
  • Nastase, Esmeralda
    Advisor: Votech Rodl
    Dissertation: Color Criticality and Chromatic Connectivity of Graphs
  • Poerschke, Annika
    Advisor: Vojtech Rodl
    Dissertation: On Algorithmic Hypergraph Regularity
  • Razouk, Nader
    Advisor: Michele Benzi
    Dissertation: Localization Phenomena in Matrix Functions: Theory and Algorithms

2007

  • Hanson, Lauren
    Advisor: Eldad Haber
    Dissertation: Techniques in constrained optimization involving partial differential equations
  • Kurzyniec, Dawid
    Advisor: Vaidy Sunderam
    Dissertation: Towards Lightweight and Reconfigurable Resources Sharing Frameworks
  • Zich, Jan
    Advisor: Vojtech Rodl
    Dissertation: Hajos Conjecture and Triangulations

2006

  • Berger, Andre
    Advisor: Michelangelo Grigni, Ojas Parekh
    Dissertation: Faster Minimum Weight Subgraph Algorithms
  • Liu, Jia
    Advisor: Michele Benzi
    Dissertation: Preconditioned Krylov Subspace Methods for Incompressible Flow Problems
  • Powell, Jeffrey
    Advisor: Ronald Gould
    Dissertation: Two Questions about Connectivity in Graphs
  • Tengan, Eduardo
    Advisor: Vojtech Rodl
    Dissertation: Graphs and Surfaces
  • Wagner, Brian
    Advisor: Ronald Gould
    Dissertation: Subgraph Sequences in Graphs and Digraphs

2005

  • Crane, Brian
    Advisor: Ronald J. Gould
    Dissertation: Forbidden Subgraphs And (k,m)-pancyclic Graphs
  • Ferrara, Mike
    Advisor: Ronald J. Gould
    Dissertation: The Degree Stripping Method For Potentially H-Graphic Sequences
  • Garten, Heather
    Advisor: Jennifer Schultens
    Dissertation: Satellite Graphs
  • Schmitt, John
    Advisor: Ronald J. Gould
    Dissertation: On Potentially P-Graphic Degree Sequences And Saturated Graphs
  • Siggers, Mark
    Advisor: Vojtech Rödl, Eric Brussel
    Dissertation: Hypergraph Packings And Galois Cohomology
  • Tansey, Gerry
    Advisor: Ronald J. Gould
    Dissertation: On Strong Connectivity And Cycles In Graphs

2004

  • Palmer, Katrina
    Advisor: James Nagy
    Dissertation: Regularization of Quasi-Newton Methods: Applied to Image Restoration
  • Perrone, Lisa
    Advisor: James Nagy
    Dissertation: Kronecker Products in Image Restoration
  • Schacht, Mathias
    Advisor: Vojtech Rödl
    Dissertation: On the Regularity Method for Hypergraphs
  • Wilson, Ulrica
    Advisor: Eric Brussel
    Dissertation: Cyclicity of Division Algebras Over an Arithmetically Nice Field

2003

  • Glimm, Tilmann
    Advisor: Rudolf Schmid
    Dissertation: Supersymplectic Reduction
  • Sissokho, Papa
    Advisor: Vojtech Rödl, Michelangelo Grigni
    Dissertation: Light Spanners and Sparse Pseudorandom Graphs
  • Whalen, Thor
    Advisor: Ronald J. Gould
    Dissertation: Degree Conditions and Relations to Distance, Extendibility, and Levels of Connectivity in Graphs

2002

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

2001

  • Bailey, Dionne
    Advisor: Victoria Powers
    Dissertation: Computational Approaches to Representation Theorems for Finitely Generated Real Algebras
  • Dementieva, Yulia
    Advisor: Vojtech Rödl
    Dissertation: Equivalent Conditions for Hypergraph Regularity
  • Hunt, Jason
    Advisor: Ronald J. Gould
    Dissertation: Forbidden Triples in Pancyclic Graphs
  • Peng, Yuejian
    Advisor: Vojtech Rödl, Andrzej Rucinski
    Dissertation: Counting Samll Cliques in the 3-Uniform Hypergraph

2000

  • Brania, Abdelkrim
    Advisor: Shanshuang Yang
    Dissertation: The Controlled Modulus Condition and Quasiconformality in Metric Spaces
  • Hynds, Emily
    Advisor: Ronald J. Gould
    Dissertation: On the Structure of 2-Factors in Line Graphs
  • Kanarsky, Margarita
    Advisor: Shanshuang Yang
    Dissertation: On Quasicircles and Dilatations of Quasisymmetric Homeomorphisms
  • Robinson, Maria K.
    Advisor: Jennifer Schultens
    Dissertation: Classification of Heegaard Splittings for (Compact Nonorientable Surface) x S^1
  • Skokan, Joseph
    Advisor: Vojtech Rödl
    Dissertation: Uniformity of Set Systems
  • Xu, Taixi
    Advisor: Rudolf Schmid
    Dissertation: Finite Dimensional Completely Integrable Hamiltonian Systems Associated with Soliton Equations

1999

  • Kochengin, Sergey
    Advisor: Vladimir Oliker
    Dissertation: Reflector Construction Problems
  • Nagle, Brendan
    Advisor: Vojtech Rödl
    Dissertation: Regularity Properties for Triple Systems
  • Wagner, Michelle
    Advisor: Vojtech Rödl
    Dissertation: A Constructive Version of the Blow-UP Lemma
  • Wolf, Allison
    Advisor: Ronald J. Gould
    Dissertation: On the Chromatic Number of Graphs Determined by Pairs of Forbidden Subgraphs

1998

  • Czygrinow, Andrzej
    Advisor: Vojtech Rödl
    Dissertation: Constructive Version of the Regularity Lemma and its Applications
  • Faudree, Jill
    Advisor: Ronald J. Gould
    Dissertation: 2-Factors and k-Orderability in Graphs
  • Krzastek, Kathleen M.
    Advisor: Victoria Powers
    Dissertation: Describing Convex Polygons in R2 with Three Inequalities
  • Laval, Philippe
    Advisor: Vladimer Oliker
    Dissertation: The Mean Curvature Flow Problem: Numerical Solution and Applications Image
  • Lu, Xiaowu
    Advisor: Rudolf Schmid
    Dissertation: Symplectic Integration for Hamiltonian Systems and Applications
  • Nardo, John Christopher
    Advisor: Jennifer Schultens, Yuanan Diao
    Dissertation: Equally Random Polygons are Globally Knoted

1997

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

1996

  • 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
  • Fuller, Allen
    Advisor: Ronald J. Gould
    Dissertation: On {K(1,3),Z2}-free Graphs
  • Goddard, Ted
    Advisor: Dwight Duffus
    Dissertation: Ordered Sets, Coloring and Complexity
  • Thoma, Lubos
    Advisor: Vojtech Rödl
    Dissertation: Essays in Extremal Combinatorics
  • Vysotina, Victoria
    Advisor: Vladimir Oliker
    Dissertation: Generalized Soultion of the Boundary Value Problem on S(n) for Polyhedrons with Prescribed Integral Curvature

1995

  • Carroll, Blayne
    Advisor: Ronald J. Gould
    Dissertation: Subgraph Transformations: A Generalization of Line Graphs
  • Gunderson, David Shane
    Advisor: Vojtech Rödl
    Dissertation: Extremal Problems on Boolean Algebras, Sum-Sets and Hypergraphs
  • Harris, John
    Advisor: Ronald J. Gould
    Dissertation: Forbidden Triples of Subgraphs and Traceability
  • Wysocka, Beata
    Advisor: Vojtech Rödl
    Dissertation: Some Results in Anti-Ramsey Theory

1994

  • Acree, F. Glenn
    Advisor: Ronald J. Gould
    Dissertation: Hamiltonian Problems and the Forbidden Subgraph Method
  • Ginn, Mark
    Advisor: Dwight Duffus, Vojtech Rödl
    Dissertation: On the Computational Complexity of Ordered Subgraph Recognition
  • Sun, Quicun
    Advisor: Rudolf Schmid
    Dissertation: Relativistic Theories in f-Atlas
  • Yang, Xinfa
    Advisor: Rudolf Schmid
    Dissertation: On Backlund Transformations for Nonlinear Differential Equations

1993

  • Arasmith, David
    Advisor: Peter Winkler
    Dissertation: Disjoint Maximal Independent Sets
  • Newman, Elsa
    Advisor: Vladmir Oliker
    Dissertation: Some Problems is Geometric Optics: Reflector Synthesis and Analysis
  • Pennington, Robin
    Advisor: Paul Waltman
    Dissertation: A Risk Based Model of the Effect of Cofactors on the Spread of Acquired Immunodeficiency Syndrome

1992

  • Eaton, Nancy
    Advisor: Vojtech Rödl
    Dissertation: Some Problems in Graph Ramsey Theory and Set Representations of Graphs
  • Williamson, Sylvia
    Advisor: Dwight Duffus
    Dissertation: Fixed Point Properties and Ordered Sets

1991

  • Ellermeyer, Sean
    Advisor: Paul Waltman
    Dissertation: Delayed Growth Response in Models of Microbial Growth and Competition in Continuous Culture
  • Fletcher, Raymond Russwald
    Advisor: Trevor Evans
    Dissertation: Unique Path Property Digraphs
  • Gersdorff, Graham Scott
    Advisor: Paul Waltman
    Dissertation: Singular Nonlinear Second Order Boundary Value Problems

1989

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

1988

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

1987

  • Cho, Jung Rae
    Advisor: Trevor Evans
    Dissertation: Transitive Orientation and Recognition of Comparability Graphs
  • Sherr, Joseph Samuel
    Advisor: Ronald J. Gould
    Dissertation: General and Connected Ramsey Theory for Graphs

1986

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

1984

  • Fichtner, Ronald Raymond
    Advisor: Philip C. Tonne
    Dissertation: The Closed Graph Theorem and Perfect Sequence Spaces
  • Pedersen, John F.
    Advisor: Trevor Evans
    Dissertation: Confluence Methods and the Word Problem in Universal Algebra

1981

  • Fogwell, Thomas Wilson
    Advisor: Luis Kramarz
    Dissertation: Collocation Methods for Inverse Problems for Differential Equations
  • Francel, Margaret Ann
    Advisor: Trevor Evans
    Dissertation: Self-Conjugate Sets of Mutually Orthogonal Latin Squares
  • Jensen, Richard Alan
    Advisor: Henry Sharp, Jr.
    Dissertation: A Study of Selfcomplimentary Hypergraphs
  • Johnson, Corlis Powell
    Advisor: Trevor Evans
    Dissertation: Constructions of Neofields and Right Neofields

1980

  • Bozeman, Sylvia D. Trimble
    Advisor: Luis Kramarz
    Dissertation: Representations of Generalized Inverses of Fredholm Operators
  • Jacobson, Michael Scott
    Advisor: Henry Sharp, Jr.
    Dissertation: On Various Extensions of Ramsey Theory

1978

  • Bakker, William Clark
    Advisor: John W. Neuberger
    Dissertation: A Method of Iteration for Solving Functional Differential Equations with Advanced and Retarded Arguments
  • John, David Jerome
    Advisor: Mary F. Neff
    Dissertation: On the Structure of the 'Free' Distributively Generated Near-Ring

1977

  • Garrett, Ronald Francis
    Advisor: Trevor Evans
    Dissertation: Some Problems Concerning Residual Finiteness in Algebras
  • Parker, George Edgar
    Advisor: John W. Neuberger
    Dissertation: Construction and Differentiable Approximation of Semigroups of Nonlinear Transformations
  • Taliaferro, Dickenson Moore
    Advisor: Clay C. Ross, Jr.
    Dissertation: Functional Equations in Linear Squares

1976

  • Caine, Bruce Randolph
    Advisor: Trevor Evans
    Dissertation: Finite Equationally Complete Algebras in Congruence Permutable Varieties
  • de Caux, Peter Anthony
    Advisor: John W. Rogers, Jr.
    Dissertation: Two Topological Spaces
  • Pate Jr., Thomas H.
    Advisor: John W. Neuberger
    Dissertation: Some Improvements in Neuberger's Iteration Procedure for Solving Partial Differential Equations
  • Peeples, Donald Richard
    Advisor: Robert L. Kruse
    Dissertation: Algebras with a Modular Subalgebra Lattice
  • Ross, Sharon Cutler
    Advisor: Chang Bang
    Dissertation: A Classification of Modules over Discrete Valuation Rings
  • Stucke, Carl H.
    Advisor: John W. Rogers, Jr.
    Dissertation: Embedding One-Dimensional Continua in the Product of an Arc and a Simple Triod

1974

  • Cruse, Allan B.
    Advisor: Trevor Evans
    Dissertation: Some Combinatorial Problems in Universal Algebra
  • Jacob Jr., Roy Thomas
    Advisor: Philip Tonne
    Dissertation: Matrix Transformations on Analytic Sequence Spaces
  • Petrides, Julia Tennant
    Advisor: Henry Sharp, Jr.
    Dissertation: Locally Complete Graphs
  • Smith, Michel
    Advisor: William S. Mahavier
    Dissertation: The Irreducibility of Continua which are the Inverse Limit of a Collection of Generalized Hausdorff Arcs
  • Stricklen Jr., Simon Albert
    Advisor: William S. Mahavier
    Dissertation: Images of Metric Spaces under Closed Mappings

1973

  • Aust, Mary Catherine
    Advisor: Trevor Evans
    Dissertation: Automorphisms and Primitive Elements in Free Algebras
  • Mcmorris, Jewell Edna
    Advisor: William S. Mahavier
    Dissertation: A Characterization of Clans whose Underlying Spaces are Planar Compactifications of a Ray
  • Pace, Jack R.
    Advisor: Clay C. Ross, Jr.
    Dissertation: Integral Equations and Interface Conditions
  • Wagner, Stephen Scott
    Advisor: John W. Neuberger
    Dissertation: Maximizing the Likelihood Function Associated with Contingency Tables having A-Priori Zeros

1972

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

1971

  • Eslinger, Robert Clayton
    Advisor: John W. Neuberger
    Dissertation: An Implicit Function Theorem with Applications to Locally Banach Semigroups with Identity
  • Hartman, Phillip Alan
    Advisor: Trevor Evans
    Dissertation: Ordered Quasigroups and Loops
  • Holmes III, John Parham
    Advisor: John W. Neuberger
    Dissertation: Partial Groupoids on a Banach Space
  • Kropa, James Combs
    Advisor: William S. Mahavier
    Dissertation: Topological Semigroups with Identity Metrizability and Embeddability
  • May Jr., Everette Lee
    Advisor: John W. Neuberger
    Dissertation: Nonlinear Spectral Theory
  • Merryman Sr., Emory Hughes
    Advisor: William S. Mahavier
    Dissertation: Applications of Category Theory to Normed Linear Spaces
  • Robertson, Muril Lynn
    Advisor: John W. Neuberger
    Dissertation: Functional Differential Equations

1970

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

1969

  • Clark, David M.
    Advisor: Trevor Evans
    Dissertation: Some Problems Concerning Free Algebras
  • Falconer, Etta Z.
    Advisor: Trevor Evans
    Dissertation: Quasigroup Identities Invariant Under Isotopy
  • Irwin, Caulton Lee
    Advisor: John W. Neuberger
    Dissertation: Green's Functions and Inverting Operators for Singular Boundary Value Problems
  • Lindner, Charles Curtis
    Advisor: Trevor Evans
    Dissertation: Some Embedding Theorems for Partial Latin Squares
  • Russell, Mary Jean
    Advisor: William S. Mahavier
    Dissertation: Monotone Upper Semi-Continuous Decompositions of Continual Irreducibles About a Finite Subset
  • Treash, Anne Christine
    Advisor: Trevor Evans
    Dissertation: Inverse Property Loops and Related Steiner Triple Systems

1968

  • Spellmann, John Winston
    Advisor: John W. Neuberger
    Dissertation: Solutions to U - FU in a Banach Space
  • Webb, Glenn Francis
    Advisor: John W. Neuberger
    Dissertation: Semi-Groups of Nonlinear Nonexpansive Transformations in Banach Spaces

1966

  • Rutledge, Dorothy Stallworth
    Advisor: John W. Neuberger
    Dissertation: One-Parameter Semigroups of Continuous Nonlinear Transformations
  • Saade, John Marshall
    Advisor: Trevor Evans
    Dissertation: Some Problems Concerning Identities in Algebra