Doctoral Program Alumni
Name, Dissertation Title, Year, Advisor, Original Job Placement
Nicholas Salmon
Financial analysis with the fractional Barndorff-Nielsen and Shepherd model and hypergraphs: applications in swaps, hedging, classification, and clustering
2022; Advisor: Indranil SenGupta
Associate Data Scientist, Experience IT.
Humayra Shoshi
Data-science-driven refinements of stochastic models with applications in oil data, short maturity Asian options, and yield prediction
2022; Advisor: Indranil SenGupta
Assistant Vice President of Credit & Obligor Risk Analytics, Citi.
Joseph Bernstein
New perspectives on promotion and rowmotion: Generalizations and translations
2022; Advisor: Jessica Striker
Visiting Assistant Professor, Augustana University.
Benjamin Noteboom
Symbolic Power Decompositions of Disjoint Cycle Graphs
2022; Advisor: Susan Cooper and Benton Duncan
Assistant Professor, Valley City State University.
Shantanu Awasthi
The first exit-time analysis of an approximate Barndorff-Nielsen and Shephard model, with data science-based applications in the commodity market
2021; Advisor: Indranil SenGupta
Data Scientist I, at Medallia, INC.
Melissa Duchsherer
Some results on semicrossed products and related operator algebras
2021; Advisor: Benton Duncan
Noridian Healthcare Solutions
Michael Roberts
Hypothesis testing on time series driven by underlying Lévy processes, with machine learning applications
2021; Advisor: Indranil SenGupta
Visiting Assistant Professor, Wake Forest University
Dylan Heuer
On Partial Permutations and Alternating Sign Matrices: Bijections and Polytopes
2021; Advisor: Jessica Striker
Instructor, Milwaukee School of Engineering.
Eric Sarfo Amponsah
Mathematical Modeling of Epidemics: Parametric Heterogeneity and Pathogen Coexistence
2020; Advisor: Artem Novozhilov
Lecturer, University of Massachusetts Amherst.
Cody Martin
Knot Groups and Bi-Orderable HNN Extensions of Free Groups
2020; Advisor: Azer Akhmedov
Aziz Issaka
Analysis of variance based financial instruments and transition probability densities: swaps, price indices, and asymptotic expansions
2018; Advisor: Indranil SenGupta
Assistant Professor, University of North Carolina at Charlotte.
Corey Vorland
Multidimensional toggle dynamics
2018, Advisor: Jessica Striker
Visiting Assistant Professor, Augustana University.
Sara Solhjem
Sign Matrix Polytopes
2018, Advisor: Jessica Striker
Visiting Assistant Professor, Minnesota State University Moorhead (MSUM).
Erin Brownlee
Maximally edge-colored directed graph algebras
2017, Advisor: Benton Duncan
Visiting Assistant Professor, Northern State University.
Liz Sattler
Subfractals induced by subshifts
2016, Advisor: Doğan Çömez
Visiting Assistant Professor, Carleton College.
Pye Aung
Gorenstein Dimensions of Rings of the Form $R \oplus C$
2016, Advisor: Sean Sather-Wagstaff
Visiting Assistant Professor, University of the Pacific.
Jayant Singh
Optimization problems arising in stability analysis of Discrete Time Recurrent Neural Networks
2016, Advisor: Nikita Barabanov
Thomas Dunn
Integral Closure and the Generalized Multiplicity Sequence
2015; Advisor: Cătălin Ciupercă
Assistant Professor at Bemidji State University.
Semere Habtemicael
Modeling financial swaps and geophysical data using the Barndorff-Nielsen and Shephard model
2015; Advisor: Indranil SenGupta
Research Fellow at the Ragon Institute of MGH, MIT and Harvard/ Harvard Medical School.
Hannah Altmann
Semidualizing DG Modules over Tensor Products
2015, Advisor: Sean Sather-Wagstaff
Visiting Assistant Professor, University of Minnesota, Morris
Jonathan Totushek
Homological Dimensions with respect to a Semidualizing Complex
2015, Advisor: Sean Sather-Wagstaff
Visiting Assistant Professor, University of Wisconsin-Superior
Mark Spanier
L1-approximation in de Branges spaces
2015, Advisor: Friedrich Littmann
Assistant Professor, Dakota State University
Saba Al-Kaseasbeh
Ideal graphs
2014; Advisor: Jim Coykendall
Visiting Assistant Professor at Clemson University
Mark Batell
The half-factorial property in polynomial rings
2014; Advisor: Jim Coykendall
Visiting Assistant Professor at University of Central Oklahoma
Farhod Abdullayev
Variational methods for polycrystal plasticity and related topics in partial differential equations
2013; Advisor: Marian Bocea
Post-Doctoral Scholar at Worcester Polytechnic Institute
Saeed Nasseh
DG homological algebra, properties of ring homomorphisms, and the generalized Auslander-Reiten conjecture
2013; Advisor: Sean Sather-Wagstaff
Assistant Professor, Georgia Southern University.
Rich Wicklein
Codualizing modules and complexes
2013; Advisor: Sean Sather-Wagstaff
Assistant Professor MacMurray College
Benjamin Anderson
NAK for Ext, Ascent of Module Structures, and the Blindness of Extended Modules
2012; Advisor: Sean Sather-Wagstaff
Visiting Assistant Professor at University of Wisconsin-La Crosse
Richard Hasenauer
Almost Dedekind domains and atomicity
2012; Advisor: Jim Coykendall
Assistant Professor at Eureka College
Lindsay Erickson
The game of Nim on graphs
2011; Advisor: Warren Shreve
Assistant Professor, Augustana College
Bethany Kubik
Quasidualizing modules
2011; Advisor: Sean Sather-Wagstaff
Visiting Assistant Professor at the United States Military Academy (West Point)
Stacy Trentham
Atomicity in rings with zero divisors
2011; Advisor: Jim Coykendall
Visiting Assistant Professor at Armstrong Atlantic State University
W. Travis Trentham
Applications of groups of divisibility and a generalization of Krull dimension
2011; Advisor: Jim Coykendall
Assistant Professor at Armstrong Atlantic State University
Carl Hashbarger
Ramification and infinite extensions of Dedekind Domains
2010; Advisor: Jim Coykendall
National Security Agency
Chris Spicer
On Cohen-Kaplansky Domains
2010; Advisor: Jim Coykendall
Assistant Professor at Morningside College
Josh Lambert
Determining the Biplanar Crossing Number of $C_k \times C_l \times C_m \times C_n$
2009; Advisor: Warren Shreve
Assistant Professor at Armstrong Atlantic State University
Angela Pile
The Space of Regular Polygons with a Small Number of Edges
2008; Advisor: Jorge Alberto Calvo
Assistant Professor at Lock Haven University
Amanda Matson
Results Regarding Finite Generation, Near Finite Generation and the Catenary Degree
2008; Advisor: James B. Coykendall IV
Assistant Professor at Clarke University
Brenda Mammenga
Factorization in Monoids and Domains
2007; Advisor: James B. Coykendall IV
Assistant Professor at Morningside College
Tridib Dutta
On the Notion of m-almost Integrality and VSFT Domains
2006; Advisor: James B. Coykendall IV
Benos Lab at the University of Pittsburgh
Yevgeny Mospan
Topics in Measure Theory: Existence and Non-existence Results on Exotic Singular Measures
2006; Advisor: Isaac Kornfeld
TBA
Shukhrat Usmanov
Structure of Isometries on Non-commutative L_p Spaces and a Dominated Ergodic Theorem
2006; Advisor: Doğan Çömez
Assistant Professor at Ashford University
Jack Maney
On the Boundary Map and Integral Morphisms
2004; Advisor: James B. Coykendall IV
Data Analyst and Mathematician at Adknowledge
Andrei Krygin
Some Properties of Coboundaries in Measurable Dynamics
1999; Advisor: Isaac Kornfeld
Semyon Litvinov snl2@psu.edu
Weighted Ergodic Theorems in von Neumann Algebras
1999; Advisor: Doğan Çömez
Associate Professor at Pennsylvania State University at Hazleton
Khaled Dib
Oscillations and Asymptotic Behavior of Solutions of Neutral Delay Differential Equations
1998; Advisor: Ronald M. Mathsen
Petroleum Institute (Abu Dhabi)
Margaret Sherman sherman@math.buffalostate.edu
The Identification of Non-adjacent Vertices in n-Critical Graphs
1997; Advisor: Warren E. Shreve
Assistant Professor at State University of New York College at Buffalo
Xiaotao Cai
(s MOD k)-Cycles in Graphs
1996; Advisor: Warren E. Shreve
Data Solutions LLC (New York)
Wojciech Kosek WKosek@ColoradoCollege.edu
On Certain Sequences in Ergodic Theory of Infinite Spaces
1996; Advisor: Isaac Kornfeld
Visiting Associate Professor at Colorado College
Yunhe Zhao
Numerical Solutions for Boundary Integral Equations
1996; Advisor: Yuesheng Xu
National Aeronautics and Space Administration
David Richard Burns burnsd@wcsu.edu
Ergodic Averages in Topological Dynamics
1993; Advisor: Isaac Kornfeld
Associate Professor at Western Connecticut State University
Wiktor Przemyslaw Piotrowski vpiotrow@uwsuper.edu
Combinatorial Optimization: Scheduling, Facility Location, and Domination (1992)
1992; Advisor: Warren E. Shreve
Associate Professor at University of Wisconsin-Superior
David Gregory Obert
Exact Estimates of Exponential Dichotomy Roughness
1990; Advisor: Robert E. Vinograd
National Security Agency
Masters Program Alumni
Name, Thesis/Paper Title, Year, Advisor
Brandon Allen
Enumeration of reduced words of length N for coxeter groups via Brink-Howlett automation
2022; Advisor: Azer Akhmedov
Austin Uden
Stochastic processes, and development of the Barndorff-Nielsen and Shephard model for financial markets
2022; Advisor: Indranil SenGupta
Faraad Armwood
Masters (exam only option)
2021; Advisor: Josef Dorfmeister
Kevin Trowbridge
Masters (exam only option)
2021; Advisor: Artem Novozhilov
Megan Jensen
Hook Formula for Skew Shapes
2019; Advisor: Jessica Striker
Caleb Larson
Understanding students' perceptions of difficulty and the effect difficulty has on mathematical anxiety
2018; Advisor: Abraham Ayebo
Rebecca Ramos
Colorings of Zero-Divisor Graphs of Commutative Rings
2015; Advisor: Benton Duncan and Jim Coykendall
Diana Kennedy
A New Generalization of Cohen-Kaplansky Domains
2015; Advisor: Benton Duncan and Jim Coykendall
Stefan Bock
[MS by exam]
2014; Advisor: Jim Coykendall
Aaron Feickert
Resolutions and semidualizing modules
2014; Advisor: Sean Sather-Wagstaff
Brandon Goodell
The bifurcation portrait of a hybrid spiking neuron model
2012; Advisor: Davis Cope
Dan Kranda
The square of adjacency matrices
2011; Advisor: Warren Shreve
Tayo Omotoyinbo
Absolute stability of a class of 2nd order feedback nonlinear, time-varying systems
2010; Advisor: Nikita Barabanov
(William) Riley Casper
Representation theory and the Fourier-Stieltjes transform for compact groups
2010; Advisor: Jim Olsen
Farkhad Abdullayev
Lower Semicontinuity and Existence of Minimizers for Supremal Functionals
2009; Advisor: Marian Bocea
Aziz Takhirov
Almost 1-Harmonic Functions and Eigenvalue Problems for the 1-Laplace Operator
2009; Advisor: Marian Bocea
Umar Islambekov
Existence of the Ergodic Hilbert transform for admissible processes in sigma finite L_p-spaces, 1< p<\infty
2008; Advisor: Dogan Çömez
Michael Booth
Computations on Hyperelliptic Curves
2005; Advisor: Joseph P. Brennan
Dmytro Y. Ivanchykhin
Robust Stability of Multiconnected Discrete Time Feedback Systems
2005; Advisor: Nikita Barabanov
Biana A. Shilshtut
Vector Measures and their Applications
2005; Advisor: Isaac Kornfeld
Feng Hou
A Study of Chi-Square Statistics and Applications to Hypothesis Testing
2004; Advisor: Davis K. Cope, Jr.
Natalya V. Chilina
Minimality and Unique Ergodicity of Symbolic Dynamical Systems
2003; Advisor: Isaac Kornfeld
Dmitriy Viktorovich Akimov
The Ergodicity and Different Mixing Properties of Measure-Preserving Transformations in Examples
2002; Advisor: Isaac Kornfeld
Mohamed Baghzali
Oscillation of Solutions of Neutral Delay Differential Equations
2001; Advisor: Ronald M. Mathsen
Barbara Bloom Ranson
A New Blocking Semioval Family
2001; Advisor: Tuval Foguel
Elena Yevgenevna Litvinova
Weighted Ergodic Theorem with Generalized Besicovich Weights
2001; Advisor: Doğan Çömez
Yushan Sun
Weak Solutions of a Nonlinear System
2000; Advisor: Ronald M. Mathsen
Wendy Booth
Graph Pebbling
2000; Advisor: Warren E. Shreve
Flynn Dustrud
Gyrogroups and Geometry
2000; Advisor: Abraham A. Ungar
Tudor M. Stoenescu
Convergence of Ergodic Averages of Doubly Stochastic Operators
1999; Advisor: James H. Olsen
Wenhui Wang
The Number of Graphical Partitions with a Single Partition
1998; Advisor: Warren E. Shreve
Larry Dale Taylor
Krieger's Embedding Theorem for Symbolic Dynamical Systems
1997; Advisor: Ayse A. Sahin
Brian Karl Hagelstrom
Gyrogroups and the Construction of Abstract Finite Lorentz Groups
1997; Advisor: Abraham A. Ungar
Ayse Arzu Teymuroglu
Saturation Properties of Quadratic Rings of Integers
1997; Advisor: James B. Coykendall IV
Margaret Billings Sherman
The Colorability of Graphs Having a Bounded Number of Triangles and Bounded Genus
1994; Advisor: Warren E. Shreve
Todd Robert Marzinske
On the Twin Prime Conjecture and Sieve Methods
1994; Advisor: Kenneth R. Johnson
Paul Scott Heidmann
The Performance of the Epsilon and Theta Convergence Acceleration Algorithms
1992; Advisor: Davis K. Cope, Jr.
Paul Albert Flasch
The Application of Liapunov Functions to Stability of Difference Equations
1992; Advisor: Ronald M. Mathsen
Kurt Douglas Cogswell
A Multiple Parameter, Zero-Density Subsequence Ergodic Theorem
1991; Advisor: James H. Olsen
Steven Michael Lehmann
Hermite Interpolation Methods for the Approximation of Solutions to Initial Value Problems
1991; Advisor: Robert R. Hare, Jr.
David Richard Burns
On Certain Generalizations of Ramanujan's Trigonometrical Sum and their Relation to Mobius Inversions
1990; Advisor: Kenneth R. Johnson
Chad Scott
Increased Efficiency in a Solution Method for Integral Equations of the First Kind with Logarithmic Singularities
1990; Advisor: Davis K. Cope, Jr.
Raja Nicolas Khoury
\lambda(n)-Convex Functions
1989; Advisor: Ronald M. Mathsen
Melvin Edwin Wahl
An Extension of Piessens' Method for Numerical Inversion of the Laplace Transform
1989; Advisor: Davis K. Cope, Jr.
Robert John Cederberg
The Asymptotic Behavior of Eigendata for an Electrochemistry Problem
1988; Advisor: Davis K. Cope, Jr.
Ann Marie Foss
An Analysis of the RSA Cryptosystem
1986; Advisor: Kenneth R. Johnson
Jiu-Kwang Lo
Developing an Informal Natural Language Interface to HDMS
1982; Advisor:
Pai-Sung Yang
An Interactive Report Writer
1982; Advisor: Leonard Shapiro
David Gregory Obert
w-Linear Vector Fields on Euclidean Space
1981; Advisor: William K. Perrizo
Ruey-Pyng Lu
Some Arithmetic Functions Over a Distributive Lattice
1978; Advisor:
Jaafar Yeser Al-Siwan
Disconjugacy, Singular Points and Converse Problems in Homogeneous Matrix Differential Equations
1977; Advisor: Warren E. Shreve
Vivian G. Kostyk
The Cultural Impact of the Development of Hyperbolic Geometry Applied to the Mathematics Cirriculum
1977; Advisor:
Barbara Ann Nelson
Analysis of Flow Through a Single Gate
1976; Advisor: Robert R. Hare, Jr.
Douglas Paul Dokken
A Condition for Distallity of Infinitesimal Affine Transformations
1975; Advisor: William K. Perrizo
Cecilia Hui-Yu Yang L. Bruce Anderson |