Recent Recipients of the Ph.D. in Mathematics

2008

Irena Andreevska

Dissetation: Mathematical Modeling and Analysis of Options With Jump-Diffusion Volatility
Advisor: Y. You

Rodney Taylor

Dissertation: Lagrange Interpolation on Leja Points
Advisor: V. Totik

2007

Dhruba R. Adhikari

Dissertation: Applications of Degree Theories to Nonlinear Operator Equations in Banach Spaces
Advisor: A. G. Kartsatos
First Position: Mississippi University for Women

Ibtisam Daqqa

Dissertation: Subconstituent Algebras of Latin Squares
Advisor: B. Curtin

John C. Davis, III

Dissertation: Identification of Parameters When the Density of the Minimum is Given
Advisor: A. Mukherjea

Daniela Genova

Dissertation: Forbidding and Enforcing of Formal Languages, Graphs and Partially-Ordered Sets
Advisor: N. Jonoska
First Position: University of North Florida

Boubakari Ibrahimou

Dissertation: The Leray-Schauder Approach for the Topological Degree of Perturbed Maximal Monotone Operators
Advisor: A. Kartsatos

Michiru Shibata

Dissertation: Pricing Models and Analysis of Corporate Coupon-Bonds and Credit Default Swaptions
Advisor: Y. You

Ana Staninska

Dissertation: A Theoretical Model for Self-assembly of Flexible Tiles
Advisors: N. Jonoska and G. McColm

2006

Kheira Ameur

Dissertation: Polynomial Quandle Cocycles, Their Knot Invariants and Applications
Advisor: M. Saito

Edgardo S. Cureg

Dissertation: Some Problems in Production of Random Matrices
Advisor: A. Mukherjea

Jemal E. Gishe

Dissertation: Finite Family of Orthogonal Polynomials and Resultants of Chebyshev Polynomials
Advisor: M. E.-H. Ismail
First position: William Penn University

Joseph O. Quarcoo

Dissertation: Contributions to the Degree Theory for Perturbations of Maximal Monotone Operators
Advisor: A. Kartsatos

Joni B. Pirnot

Dissertation: Recognizable Languages Defined by Two-Dimensional Shift Spaces
Advisor: N. Jonoska

2005

Ferenc Tookos

Dissertation: Hölder Continuity of Green's Functions
Advisor: V. Totik

Djiby Fall

Dissertation: Longtime Dynamics of Hyperbolic Evolutionary Equations in Unbounded Domains and Lattice Systems
Advisor: Y. You
First Position: Jackson State University

David E. Kephart

Dissertation: Topology, Morphism, and Randomness on the Space of Formal Language
Advisor: N. Jonoska

Norbert N. Youmbi

Dissertation: Contributions to Harmonic Analysis and Probability Theory on Semihypergroups
Advisor: A. Mukherjea
First Position: St. Francis University

2004

Kalpana Mahalingam

Dissertation: Involution Codes with Application to DNA Strand Design
Advisor: N. Jonoska
First Position: University of Western Ontario

Hasan H. Al-Najjar

Dissertation: Tridiagonal Pairs in Representation Theory
Advisor: B. Curtin
First Position: Private University of Zarqa

2003

Ahmed Y. Abdallah

Dissertation: Global Dynamics of Damped Boussinesq Equations
Advisor: Y. You
Current Position: University of Jordan

2002

Marina Appiou-Nikiforou

Dissertation: Extensions of Quandles and Cocycle Knot Invariants
Advisor: M. Saito
First Position: Cyprus College

2001

David P. Benko

Dissertation: Approximation by Weighted Polynomials
Advisor: V. Totik
First Position: Texas A&M University
Current Position: Western Kentucky University

Viktor Maymeskul

Dissertation: On Some Problems in Complex and Multivariate Approximation and Interpolation
Advisor: E. B. Saff
First Position: USF
Current Position: Georgia Southern University

2000

Ming Dai

Dissertation: Identification of the Parameters of a Multivariate Normal Distribution by the Distribution of Maximum
Advisor: A. Mukherjea
First Position: University of Pennsylvania

Daniel D. Jelsovsky

Dissertation: Quandle Cohomology and State-Sum Invariants of Knots
Advisor: M. Saito
First Position: Florida Southern College

1999

Ivan Ivanov

Dissertation: Linear Discrete Operators and Recovery in Uniform Algebras
Advisors: B. Shekhtman and E. Rakhmanov
First Position: Syracuse University
Last Known Position: Texas A&M University

1998

Lubomir P. Markov

Dissertation: An L^²-Approach to Second Order Functional Evolutions in Banach Spaces
Advisor: A. G. Kartsatos
First Position: Winston Academy
Current Position: Barry University

1997

Peter D. Dragnev

Dissertation: Constrained Energy Problems for Logarithmic Potentials
Advisor: E. B. Saff
First Position: Indiana University-Purdue University, Ft. Wayne

Jing Lin

Dissertation: Homotopy Invariance of Time-Dependent Domains and Perturbation Theory for Nonlinear Operators in Banach Spaces
Advisor: A. G. Kartsatos

Jifeng Ma

Dissertation: Spectrum of Some Integral Operators
Advisor: M. E.-H. Ismail

Plamen C. Simeonov

Dissertation: Weighted Polynomial and Rational Approximation With Varying Weights
Advisors: E. B. Saff and V. Totik
First Position: Ohio State University
Current Position: University of Houston-Downtown

1996

Sergey V. Belyi

Dissertation: Operator-Valued R-Functions in the Theory of Linear Dynamic Systems
Advisor: A. G. Kartsatos
First Position: Troy State University

Zouhua Ding

Dissertation: Contributions to the Theory of the Existence of Zeros of Perturbations of Nonlinear M-Accretive Operators in Banach Spaces
Advisor: A. G. Kartsatos
Current Position: Zhejing Sci-Tech University

Subhankar Dhar

Dissertation: Probability Measures on Stochastic Matrices
Advisor: A. Mukherjea
First Position: PdMA Corporation
Current Position: San Jose State University

Mohamed A. Elnaggar

Dissertation: Identification of the Parameters of a Multivariate Normal Distribution by the Distribution of the Minimum
Advisor: A. Mukherjea
First Position: United Arab Emirates University

Michael Q. Rieck

Dissertation: Pseudo-Orthogonal Complementary Subspaces and Hyperbolic Partner Graphs
Advisor: W. E. Clark
First Position: Rhodes College
Current Position: Drake University

Vladimir F. Veselov

Dissertation: A Compactification of the Fatou Mapping as a Dynamical System
Advisors: R. W. Oberste-Vorth and J. H. Hubbard
First Position: Cornell University

1995

Guoqui Lu

Dissertation: Markov Processes With Random Transition Probabilities
Advisor: A. Mukherjea
First Position: The College of West Virginia

Igor Pritsker

Dissertation: Convergence and Zero Distribution of Laurent-Type Rational Functions
Advisor: E. B. Saff
First Position: Kent State University
Current Position: Oklahoma State University

Margaret A. Yoder

Dissertation: String Rewriting Applied to Problems in the Braid Groups
Advisor: J. F. Pedersen
First Position: Eastern Kentucky University

Yanmu Zhou

Dissertation: Arrangement of Points on the Sphere
Advisor: E. B. Saff
First Position: Northwestern University

1992

Tony Y. Chang

Dissertation: Domination Numbers of Grid Graphs
Advisor: W. E. Clark
Current Position: Rouge Steel Company