Former PhD Students
2022
Gabriel Montoya Vega
Dissertation Title: A Historical Exploration of Knot Theory, Khovanov Homology, and Framing Changes of Links and Skein Modules
Advisor: Jozef Przytycki
Kevin Long
Dissertation Title: Some Problems on Matroid Invariants and Integer Polymatroids
Advisor: Joseph E. Bonin
Hyungjung Choi
Dissertation Title: Numerical Methods for Block Copolymer Systems with Long Range Interaction
Advisor: Yanxiang Zhao
Jingjing Xu
Dissertation Title: Analysis and Scientific Computing on Some Nonlocal PDEs
Advisor: Yanxiang Zhao
Dionne Ibarra
Dissertation Title: Framed links in 3-manifolds, its applications, and algebraic approaches to knot theory
Advisor: Jozef Przytycki
Jiayuan Wang
Dissertation Title: Factorization Combinatorics in Complex Reflection Groups
Advisor: Joel B Lewis
2021
Rhea Palak Bakshi
Dissertation Title: Skein Modules, Skein Algebras, and Their Ramifications
Advisor: Jozef Przytycki
Hyeeun Jang
Dissertation Title: "Directional expansiveness"
Advisor: E Arthur Robinson
Pavel Avdeyev
Dissertation Title: Mathematical Models of Ancestral Genome Reconstruction
Advisor: Jozef Przytycki
Xinyu Zhang
Dissertation Title: Approximation Methods of Caputo Derivatives and Their Applications to Non-local Porous Medium Equations.
Advisor: Maria Gualdani
2020
Jason Suagee
Dissertation Title: "Existence and Construction of Schnyder Orientations over a Large Class of Higher Genus Surface Triangulations."
Advisor: Lowell Abrams
Iva Bilanovic
Dissertation Title: “Detecting Properties of Algebraic and Relational Structures”
Advisor: Valentina Harizanov
Konstantinos Smpokos
Dissertation Title: “A Geometric Variational Problem on a Periodic Domain”
Advisor: Xiaofeng Ren
2019
Debdeep Bhattacharya
Dissertation Title: “Harmonic Analysis Techniques in Nonlinear Dispersive Equations and Signal Processing”
Advisor: Frank Baginski
Sujoy Mukherjee
Dissertation Title: “On Skein Modules and Homology Theories Related to Knots Theory”
Advisor: Jozef H. Przytycki
2018
Kai Yang
Dissertation Title: Formation of Singularities in Nondispersive Partial Differential Equations
Advisor: Svetlana Roudenko and Yanxiang Zhao
Xiao Wang
Dissertation Title: Knot Theory and Algebraic Structures Motivated by and Applied to Knots
Advisor: Jozef Przytycki
Chong Wang
Dissertation Title: Analysis and Modeling of Self-organizing Systems with Long Range Interaction,
Advisor: Xiaofeng Ren and Yanxiang Zhao
Jiajun Lu
Dissertation Title: Pattern Formation in Binary Systems with Long-range Interaction
Advisor: Frank Baginski
Chubo Deng
Dissertation Title: Stability in a Trend-depending price formation model
Advisor: Maria Gualdani
Trang Ha
Dissertation Title: “On Algorithmic Properties of Computable Magmas”
Advisor: Valentina Harizanov
Harpreet Bedi
Dissertation Title: “Cohomology of Line Bundles with Rational Degree”
Advisor: Yongwu Rong and Jozef H. Przytycki
2017
Sergey Aganezov
Dissertation Title: “Phylogenomics Meets Genome Assembly: From Evolutionary Analysis to Scaffolding”
Advisor: Max Alekeyev
Hakim Walker
Dissertation Title: Computable Isomorphisms of Directed Graphs and Trees
Advisor: Valentina S. Harizanov
Seung Yeop Yang
Dissertation Title: Khovanov Homology, Distributive Structure Homology and Applications to Knot Theory
Advisor: Jozef H. Przytycki
2016
Yeyao Hu
Dissertation Title: Disc Assemblies and Spik Assemblies in inhibitory system
Advisor: Xiaofeng Ren
Lara El Sherif
Dissertation Title: Matchings of Intersection Graphs and the Maximum Genus Problem
Advisor: Lowell Abrams
2015 and Earlier
Leah Marshall (2015)
Dissertation: Computability-Theoretic Properties of Partial Injections, Trees, and Nested Equivalences
Advisor: Valentina S. Harizanov
Jing Wang (2015)
Dissertation: Homology of Small Categories and Its Applications
Advisor: Jozef H. Przytycki
Thomas Jason Savitsky (2015)
Dissertation: Some Problems on Matroids and Integer Polymatroids
Advisor: Joseph E. Bonin
Carl Crawford Hammarsten (2015)
Dissertation: "Decorated Heegaard diagrams and combinatorial Heegaard Floer homology"
Advisor: Alexander Shumakovitch
David Shoup (2015)
Dissertation: Half Disc Stationary Sets on the Boundary of a Binary Inhibitory System
Advisor: Xiaofeng Ren
Steven Schluchter (2014)
Dissertation: Ordinary Voltage Graphs In Pseusosurfaces And Derived Cellular Homology With Applications To Graph Embeddability.
Advisor: Lowell Abrams
Erblin Mehmetaj (2014)
Dissertation: On the r-Continued Fraction Expansions of Real Numbers
Advisor: E. Arthur Robinson, Jr.
Kai Maeda (2013)
Dissertation: Self-Distributive Magmas and Their Richter’s Degrees
Advisor: Valentina S. Harizanov
Joseph L Herning (2013)
PhD George Washington University 2013
Dissertation: Spectrum and Factors of Substitution Dynamical Systems
Advisor: E. Arthur Robinson, Jr.
Lu Xie (2013)
Dissertation: Analysis of the Long Range Interaction in the Ternary System
Advisor: Xiaofeng Ren
Ken Shoda (2012)
Dissertation: Large Families of Matroids with the Same Tutte Polynomial
Advisor: Joseph E. Bonin
Tyler White (2012)
Dissertation: Topologically Mixing Tilings of R^2 Generated by a Generalized Substitution
Advisor: E. Arthur Robinson, Jr.
Forest Fisher
PhD George Washington University 2010
Dissertation: CoZinbiel Hopf Algebras in Combinatorics
Advisor: William R. Schmitt
Hillary Einziger
PhD George Washington University 2010
Dissertation: Incidence Hopf Algebras: Antipodes, Forest Formulas, and Noncrossing Partitions
Advisor: William R. Schmitt
Michael J. Coleman
PhD George Washington University 2010
Dissertation: Surface Accuracy Analysis and Mathematical Modeling of Deployable Large Aperture Elastic Antenna Reflectors
Advisor: Frank E. Baginski
Jieun Lee
PhD George Washington University 2010
Dissertation: Modeling the Equilibrium Configuration of a Piecewise Orthotropic Pneumatic Envelope and the Phase Separation Problem in a Membrane
Advisors: Frank E. Baginski and Xiaofeng Ren
Radmila Sazdanović
PhD George Washington University 2009
Dissertation: Categorification of Knot and Graph Polynomials and the Polynomial Ring
Advisor: Jozef H. Przytycki
Jennifer Chubb
PhD George Washington University 2009
Dissertation: Ordered Structures and Computability
Advisor: Valentina S. Harizanov
Kerry Luse
PhD George Washington University 2008
Dissertation: Invariants of Knots, Graphs, and Feynman Diagrams
Advisor: Yongwu Rong
Sarah Pingrey
PhD George Washington University 2008
Dissertation: Strong Degree Spectra of Relations
Advisor: Valentina S. Harizanov
Tanya Andress
PhD George Washington University 2007
Dissertation: The spectrum and the first Cech cohomology group of a one dimensional tiling dynamical system
Advisor: E. Arthur Robinson
Geoffrey McKenna
PhD George Washington University 2007
Dissertation: Graphs, Algebra, and Probability
Advisor: Daniel H. Ullman
Fanny Jasso-Hernandez
PhD George Washington University 2007
Dissertation: A Homological Algebraic Approach to the Tutte Polynomial
Advisor: Yongwu Rong
Michael Barg
PhD George Washington University 2007
Dissertation: Direct Methods in the Calculus of Variations with Applications to Tendon-Reinforced Piecewise-Isotropic Membranes
Advisor: Frank E. Baginski
Maciej Niebrzydowski
PhD George Washington University 2007
Dissertation: Some Applications of Quandles and their Homology to the Geometry of Knots
Advisor: Jozef H. Przytycki
Eric Ufferman
PhD George Washington University 2006
Dissertation: Structures and Partial Computable Automorphisms
Advisor: Valentina S. Harizanov
Malgorzata Dabkowska
PhD George Washington University 2006
Dissertation: Turing Degree Spectra of Groups and Their Spaces of Orders
Advisor: Valentina S. Harizanov
Michael Veve
PhD George Washington University 2006
Dissertation: Skien Modules, Orderable Magmas, and Billiards
Advisor: Jozef H. Przytycki
Laure Helme-Guizon
PhD George Washington University 2005
Dissertation: A Categorification of the Chromatic Polynomial
Advisor: Yongwu Rong
Amir Togha
PhD George Washington University 2004
Dissertation: On Automorphisms of Structures in Logic and Orderability of Groups in Topology
Advisors: Valentina S. Harizanov and Ali Enayat
Mieczyslaw Dabkowski
PhD George Washington University 2003
Dissertation: Cubic Skein Modules and Burnside Groups
Advisor: Jozef H. Przytycki
Rumen Dimitrov
PhD George Washington University 2002
Dissertation: Computably Enumerable Vector Spaces, Dependence Relations, and Turing Degrees
Advisor: Valentina S. Harizanov
Krzysztof Wargan
PhD George Washington University 2002
Dissertation: S-adic Dynamical Systems and Bratteli Diagrams
Advisor: E. Arthur Robinson, Jr.
David Hough
PhD George Washington University 2001
Dissertation: The Genus of Partitions and C-trees
Advisors: Daniel H. Ullman and Frank Schmidt
Rachelle Ankney
PhD George Washington University 2001
Dissertation: The geometries PG(n-1,q)\PG(k-1,q)
Advisor: Joseph E. Bonin
Amir Pirnazar
PhD George Washington University 2000
Dissertation: Girth, genus and fractional coloring of graphs
Advisor: Daniel H. Ullman
Hongxun Qin
PhD George Washington University 2000
Dissertation: Tutte polynomials and matroid constructions
Advisor: Joseph E. Bonin
Maxim V. Sokolov
PhD George Washington University 2000
Dissertation: Quantum invariants, skein modules, and periodicity of 3-manifolds
Advisor: Jozef H. Przytycki
Tatsuya Tsukamoto
PhD George Washington University 2000
Dissertation: The fourth skein module of 3-dimensional manifolds
Advisor: Jozef H. Przytycki
William Collier
PhD George Washington University 2000
Dissertation: Applications of variational principles to modeling a partially inflated scientific research balloon
Advisor: Frank E. Baginski
Clifford Hansen
PhD George Washington University 2000
Dissertation: Dynamics of muldimensional substitutions
Advisor: E. Arthur Robinson Jr.
Thomas Fitzkee
PhD George Washington University 1998
Dissertation: Weakly mixing tiling flows arising from interval exchange transformations
Advisor: E.Arthur Robinson Jr.
Jules Kouatchou
PhD George Washington University 1997
Dissertation: High-order multigrid techniques for partial differential equations
Advisor: Murli M. Gupta
Michael Edward McDaniel
PhD George Washington University 1997
Dissertation: Subspaces of Vassiliev invariants using cablings
Advisor: Yongwu Rong
Jun Zhang
PhD George Washington University 1997
Dissertation: Multigrid acceleration techniques and applications to the numerical solution of partial differential equations
Advisor: Murli M. Gupta
Sita Ramamurti
PhD George Washington University 1995
Dissertation: Dynamics near the essential singularity for zero-free entire vector fields of finite order
Advisor: Kevin Hockett
William P. Miller
PhD George Washington University 1995
Dissertation: Approaches to matroid reconstruction problems
Advisor: Joseph E. Bonin
Timothy McNicholl
PhD George Washington University 1995
Dissertation: The inclusion problem for generalized frequency classes
Advisor: Valentina S. Harizanov
Hassan Sedaghat
PhD George Washington University 1990
Dissertation: New constructions in semigroup compactification theory
Advisor: Hugo D. Junghenn
Karma Dajani
PhD George Washington University 1989
Dissertation: Simultaneous recurrence of weighted cocycles.
Advisor: E.Arthur Robinson, Jr.
Amir Afrasiab Maleki
PhD George Washington University 1985
Dissertation: Semigroups of quasicompact operators: Convergence and mean ergodic property
Advisor: Choy-Tak Taam
Thomas Lewrie Mifflin
PhD George Washington University 1984
Dissertation: Almost periodic selections
Advisor: Hugo D. Junghenn
Ramaiah Devadoss Pandian
PhD George Washington University 1983
Dissertation: Relatively almost periodic and distal semigroup compactifications and related fixed point theorems
Advisor: Hugo D. Junghenn
Tyler Henry Haynes (Jr)
PhD George Washington University 1983
Dissertation: Invariant means on semi-topological transformation semigroups
Advisor: Hugo D. Junghenn
Ali Saleh Arwini
PhD George Washington University 1982
Dissertation: Order compactness and complete regularity in topological preordered spaces
Advisor: Marvin D. Green
Amir Hamzeh Barzegar
PhD George Washington University 1981
Dissertation: Syntopological characterization of algebraic structures and Bohr syntopological group compactification
Advisor: Marvin D. Green
John Richard Tucker
PhD George Washington University 1980
Dissertation: Mixing, Ergodicity, and Amenability for Weekly Almost Periodic Semigroups
Advisor: Choy-Tak Taam
Steven Zalmon Kahn
PhD George Washington University 1980
Dissertation: Chromatic equivalence and chromatic uniqueness
Advisor: Ruth Aaronson Bari
Bao Ting Chen Lerner
PhD George Washington University 1979
Dissertation: C*-Algebra Compactifications of semidirect products of semitopological semigroups
Advisor: Hugo D. Junghenn
Arthur Valliere, III
PhD George Washington University 1979
Dissertation: On Matrices A such that AT is a Polynomial in A
Advisor: Irving J. Katz
Walter Lane Stanley
PhD George Washington University 1977
Dissertation: On the structure of the torsion subgroup of the group of units of a group ring
Advisor: Myrna Pike Lee
Henry Kwong Tan
PhD George Washington University 1977
Dissertation: Ergodic theorems and semigroups of *Homomorphisms on C* and W*-Algebras
Advisor: Choy-Tak Taam
Robert Edward O'Brien
PhD George Washington University 1977
Dissertation: Controllability and Stabilization of contraction semigroups on Hilbert spaces
Advisor: Choy-Tak Taam
Daniel Rucker Batigne
PhD George Washington University 1977
Dissertation: Integral Generalized Inverses of Integral Matrices
Advisor: Irving J. Katz
John Frank Schmeelk
PhD George Washington University 1976
Dissertation: Test surfunctions and generalized surfunctions
Advisor: Thomas Liverman
Lawrence Allen Lee
PhD George Washington University 1975
Dissertation: On chromatically equivalent graphs
Advisor: Ruth Aaronson Bari
David Schedler
PhD George Washington University 1971
Dissertation: On topologies determined by clustering sequences: a generalization of sequential space
Advisors: Hewitt Kenyon
Kim Ki-Hang Butler
PhD George Washington University 1970
Dissertation: On (0,1)-Matrix Semigroups
Advisors: Jin B. Kim
Hugo Dietrich Junghenn
PhD George Washington University 1970
Dissertation: Almost Periodic Compactifications and Applications to One-Parameter Semigroups
Advisor: Choy-Tak Taam
John Jones, Jr.
PhD George Washington University 1970
Dissertation: Properties of strong solutions of first and second order differential equations and inequalities in Hilbert space
Advisor: Thomas Liverman
Ruth Doris Koidan
Ph.D. George Washington University 1969
Dissertation: Convergence bases and subbases in general topology
Advisor: Hewitt Kenyon
John Kent Minichiello
Ph.D. George Washington University 1967
Dissertation: Negationless Intuitionistic mathematics
Advisor: David Nelson
Mahmoud Khairat Ahmed Khairat
Ph.D. George Washington University 1965
Dissertation: Some results for random elements taking values in a linear space
Advisor: Solomon Kullback
Hubert Whitman Lilliefors
Ph.D. George Washington University 1964
Dissertation: An Information Theoretic Application of Linear Discriminant Functionals to Stochastic Processes
Advisor: Solomon Kullback
Janos Edvard Hanson
Ph.D. George Washington University 1960
Dissertation: On linear sequence spaces which permit ommision and adjunction and have finite dimension modulo convergence
Advisor: Florence Marie Mears
Joseph Blum
Ph.D. George Washington University 1958
Dissertation: Banach Spaces Functionals and Matrix Summability Methods
Advisor: Florence Marie Mears
Valdemars Punga
Ph.D. George Washington University 1954
Dissertation: Affine connection in space of line elements
Advisor: James Henry Taylor
Robert Harrison Shaw
Ph.D. George Washington University 1952
Dissertation: On the proof of a theorem of Frobenius without the use of group characters
Advisor: Francis Edgar Johnston
Solomon Kullback
Ph.D. George Washington University 1934
Dissertation: An application of characteristic functions to the distribution problem of statistics
Advisor: Frank Weida
Abraham Sinkov
Ph.D. George Washington University 1933
Dissertation: Families of groups generated by two operators of the same orders
Advisor: Francis Edgar Johnston