# PhD's Awarded by the Department of Mathematics since 1933

The following is a list, with most recent first, of PhD degrees that have been awarded by the Department since 1933.

**Trang Ha**

*PhD George Washington University 2018*

*Dissertation Title:**On Algorithmic Properties of Computable Magmas*

**Advisor:**Valentina Harizanov

**Harpreet Bedi***PhD George Washington University 2018***Dissertation Title:** Cohomology of Line Bundles with Rational Degree**Advisor:** Yongwu Rong and Jozef H. Przytycki

**Sergey Aganezov**

*PhD George Washington University 2017***Dissertation Title:** Phylogenomics meets genome assembly: from evolutionary analysis to scaffolding**Advisor:** Max Alekeyev

**Hakim Walker**

*PhD George Washington University 2017***Dissertation Title:** Computalbe isomorhisms of directed graphs and trees**Advisor:** Valentina S. Harizanov

**Seung Yeop Yang**

*PhD George Washington University 2017***Dissertation Title:** Khovanov homology, distributive structure homology and applications to knot theory**Advisor:** Jozef H. Przytycki

**Yeyao Hu**

*PhD George Washington University 2016***Dissertation Title:** Disc Assemblies and Spik Assemblies in inhibitory system**Advisor:** Xiaofeng Ren

**Lara El Sherif**

*PhD George Washington University 2016***Dissertation Title:** Matchings of Intersection Graphs and the Maximum Genus Problem**Advisor:** Lowell Abrams

Steven Schluchter

PhD George Washington University 2014

Dissertation: Ordinary Voltage Graphs In Pseusosurfaces And Derived Cellular Homology With Applications To Graph Embeddability.

Advisor: Lowell Abrams

Erblin Mehmetaj

PhD George Washington University 2014

Dissertation: On the r-Continued Fraction Expansions of Real Numbers

Advisor: E. Arthur Robinson, Jr.

Kai Maeda

PhD George Washington University 2013

Dissertation: Self-Distributive Magmas and Their Richter’s Degrees

Advisor: Valentina S. Harizanov

Joseph L Herning

PhD George Washington University 2013

Dissertation: Spectrum and Factors of Substitution Dynamical Systems

Advisor: E. Arthur Robinson, Jr.

PhD George Washington University 2013

Dissertation: Analysis of the Long Range Interaction in the Ternary System

Advisor: Xiaofeng Ren

Ken Shoda

PhD George Washington University 2012

Dissertation: Large Families of Matroids with the Same Tutte Polynomial

Advisor: Joseph E. Bonin

Tyler White

PhD George Washington University 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