MATH/STAT Graduate Degree Recipients

(See here for AMSC.)

Spring 2004

Ph.D.

Edward Eikenberg, Ph.D. in Mathematics

Advisor: Dr. L. Washington

Dissertation Title: Rational Points on Some Families of Elliptic Curves

Jack Calcut III, Ph.D. in Mathematics

Advisor: Dr. H. Winkelnkemper

Dissertation Title: Torelli Actions and Smooth Structures on 4-manifolds

Joseph Kolesar, Ph.D. in Mathematics

Advisor: Dr. J. Benedetto

Dissertation Title: Sigma Delta Modulation and Correlation Criteria for the Construction of Finite Frames Arising in Communication Theory

Richard Kollar, Ph.D. in Mathematics

Advisor: Dr. R. Pego

Dissertation Title: Existence and Stability of Vortex Solutions of Certain Nonlinear Schrödinger Equations

William Ott, Ph.D. in Mathematics

Advisor: Dr. J. Yorke

Dissertation Title: Infinite-Dimensional Dynamical Systems and Projections

MA.

Justin Brody, M.A. in Mathematics

Advisor: Dr. M. C. Laskowski

Michael Gittings, M.A. in Mathematics

Advisor: Dr. M. C .Laskowski

Richard Hallquist, M.A. in Mathematics

Advisor: Dr. J. Benedetto

Hunter Johnson, M.A. in Mathematics

Advisor: Dr. D. Kueker

Kathleen Meloney, M.A. in Mathematics

Advisor: Dr. J. Yorke

Thesis Title: A Dynamical Systems Approach to Estimating the Repeat Regions of a Genome

Ming Wei Ong, M.A. in Mathematics

Advisor: Dr. J. Benedetto

Christopher Shaw, M.A. in Mathematics

Advisor: Dr. M. C. Laskowski

Aram Tangboondouanjit, M.A. in Mathematics

Advisor: Dr. C. R. Warner

Lina Himawan, M.A. in Mathematical Statistics

Advisor: Dr. G. Yang

Thesis Title: A Study of the Efficacy of Screening for Breast Cancer Based on Health Insurance Plan Data

Aliza Kwiat, M.A. in Mathematical Statistics

Advisor: Dr. E. Slud

Bo Li, M.A. in Mathematical Statistics

Advisor: Dr. E. Slud

Huilin Li, M.A. in Mathematical Statistics

Advisor: Dr. P. Lahiri

Yabing Mai, M.A. in Mathematical Statistics

Advisor: Dr. E. Slud

Shanshan Wang, M.A. in Mathematical Statistics

Advisor: Dr. W. Jang

Xin Song, M.A. in Mathematical Statistics

Advisor: Dr. P. Smith

Summer 2004

Ph.D.

Hector Gomez, Ph.D. in Mathematics

Advisor: Manoussos Grillakis

Dissertation Title: Binormal Motion of Curves and Surfaces in a Manifold

Shirin Malekpour, Ph.D. in Mathematics

Advisor: M. Chris Laskowski

Dissertation Title: Predicate Product Logic and Embeddings of Ordered Abelian Groups

Yang Cheng, Ph.D. in Mathematical Statistics

Advisor: Eric Slud

Dissertation Title: Maximum Likelihood Estimation and Computation in a Random-Effect Factor Model

Huaizhong Ren, Ph.D. in Mathematical Statistics

Advisor: Mark Freidlin

Dissertation Title: Autonomous Stochastic Perturbations of Hamiltonian Systems

MA.

Peter Rankel, M.A. in Mathematics

Advisor: M. Chris Laskowski

Fall 2004

PhD

Jawad Al-Khal, Ph.D. in Mathematics

Advisor: M. Jakobson

Dissertation Title: New Examples of S-Unimodal Maps with a Sigma-Finite Absolutely Continuous Invariant Measure

Amit Trehan, Ph.D. in Mathematics

Advisor: J. Adams

Dissertation Title: Lifting of Characters and Orbital Integrals on Metaplectic Groups

Gabriela Cohen Freue, Ph.D. in Mathematical Statistics

Advisor: P. Smith

Dissertation Title: On Robustness in some extended regression models

Xiaoping Jiang, Ph.D. in Mathematical Statistics

Advisor: P. Smith

Dissertation Title: Nonparametric Quasi-liklihood for Longitudinal Data

MA

Abdelkrim Bourouihiya, M.A. in Mathematics

Advisor: J. Benedetto

Maria Victoria Checa, M.A. in Mathematics

Advisor: L. Washington

Thesis Title: Investigation into Solvable Quintics

Matthew Konicki, M.A. in Mathematics

Advisor: L. Washington

Clinton McKay, M.A. in Mathematics

Advisor: W. Adams

Thesis Title: An Analysis of Improvements to Buchberger's Algorithm

Aaron Qureshi, M.A. in Mathematics

Advisors: B. Hunt and M. Bulyk

Thesis Title: A Combinatorial Design of a Protein-Binding DNA Microarray

Patricia Wallace, M.A. in Mathematics

Advisor: D. Kueker

Yuming Zhang, M.A. in Mathematical Statistics

Advisor: B. Kedem

Spring 2005

PhD

Ryan Lance, Ph.D. in Mathematics

Advisor: J. Yorke

Dissertation Title: Network State Estimation Via Passive Traffic Monitoring

Jarad Schofer, Ph.D. in Mathematics

Advisor: S. Kudla

Borcherds Forms and Generalizations of Singular Moduli

Zhihui Yang, Ph.D. in Statistics

Advisor: M. Freidlin

Dissertation Title: Exit Problems ans stochastic resonance for a class of random perturbations

MA

Gregory Johnson, M.A. in Mathematics

Advisor: D. Kueker

Hyejin Kim, M.A. in Statistics

Advisor: B. Kedem

Heather McDonough, M.A. in Mathematics

Advisor: W.Adams

Thesis title: Prime ideals in integral group algebras of finite abelian groups

Elisha Peterson, M.A. in Mathematics

Advisor: W.Goldman

Karen Tinnesz, M.A. in Mathematics

Advisor: D. Gulick

Summer 2005

PhD

Te-Ching Chen, Ph.D. in Statistics

Advisor: P. Smith

Dissertation Title: Estimating common odds ratio with missing data

Ru Chen, Ph.D. in Statistics

Advisor: S. Slud

Dissertation Title: Model misspecification with parameters of increasing dimension

William Jimenez, Ph.D. in Mathematics

Advisor: K. Grove

Dissertation Title: Riemannian submersions and Lie groups

Juan Romero, Ph.D. in Mathematics

Advisor: J. Benedetto

Dissertation Title: Generalized multiresolution analysis: construction and measure theoretic characterization

Hsiao-Hui Tsou. Ph.D. in Statistics

Advisor: S. Slud

Dissertation Title: Factor analysis of cross-classified data

MA

Justina Horvath, M.A. in Mathematics

Advisor: L. Washington

Thesis title: An investigation of Alexander polynomials

Fall 2005

Ph.D.

Angela Grant, Ph.D. in Mathematics

Advisor: B. Hunt

Dissertation title: Finding optimal orbits of chaotic systems

Khamron Mekchay, Ph. D. in Mathematics

Advisor: R. Nochetto

Dissertation title: Convergence of adaptive finite element methods

M.A.

Fernando Galaz-Garcia, M.A. in Mathematics

Advisor: K. Grove

Corey Gonzalez, M.A. in Mathematics

Advisor: J. Schafer

Eulus Moore, M.A. in Statistics

Advisor: P. Smith

Onur Oktay, M.A. in Mathematics

Advisor: J. Benedetto

Charuta Soman, M. A. in Statistics

Advisor: P. Smith

Spring 2006

PhD

Abdelkrim Bourouihiya, Ph.D. in Mathematics

Advisor: J. Benedetto

Dissertation title: Beurling weighted spaces, product-convolution operators, and the tensor product of frames

Angela Desai, Ph.D. in Mathematics

Advisor: M. Boyle

Dissertation title: Z^d Symbolic Dynamics: Coding with an Entropy Inequality

Benjamin Howard, Ph.D. in Mathematics

Advisor: J. Millson

Dissertation title: Matroids and geometric invariant theory of torus actions on flag spaces

Sean Lawton, Ph.D. in Mathematics

Advisor: W. Goldman

Dissertation title: SL(3,C) -character varieties and RP²-structures on a trinion

David McClendon, Ph.D. in Mathematics

Advisor: M. Boyle

Dissertation title: Orbit discontinuities and topological models for Borel semiflows

Elisha Peterson, Ph.D. in Mathematics

Advisor: W. Goldman

Dissertation title: Trace diagrams, representations, and low-dimensional topology

Christopher Truman, Ph.D. in Mathematics

Advisor: J. Schafer

Dissertation title: Turaev torsion of 3-manifolds with boundary

MA

Eleni Agathocleou, M.A. in Mathematics

Advisor: L. Washington

Julia Batishev, M.A. in Statistics

Advisor: P. Smith

Justin Flake, M.A. in Mathematics

Advisor: J. Benedetto

Konstantinos Spiliopoulos, M.A. in Statistics

Advisor: M Freidlin

Ritaja Sur, M.A. in Statistics

Advisor: P. Smith

Summer 2006

Ph.D.

Ning Jiang, Ph.D. in Mathematics

Advisor: C. Levermore

Dissertation title: Weakly compressible Navier-Stokes approximation of gas dynamics

Blake Pelzer, Ph.D. in Mathematics

Advisor: R. Schwartz

Dissertation title: Computing an octrahedral tiling for the last ideal complex hyperbolic triangle group

Aliz Steurer, Ph.D. in Mathematics

Advisor: L. Washington

Dissertation title: On the galois group of the 2-class towers of examples of number fields

Aram Tangtoondouangjit, Ph.D. in Mathematics

Advisor: J. Benedetto

Dissertation title: Sigma-delta quantization: number theoretic aspects of refining quantization error.

MA

Toni Watson, M.A. in Mathematics

Advisor: J. Rosenberg

Thesis title: Twisted cohomology groups

Jing Zhou, M.A. in Statistics

Advisor: P. Smith

Thesis title: A different way to solve the massing value problem: the case of equal employment opportunity data

Fall 2006

PhD

John Vogler, Ph. D. in Mathematics

Advisor: L. Washington

Dissertation title: Linear forms in logarithms and integer points on Genus-two curves

MA

Albert De Hombre, M. A. in Statistics

Advisor: B. Kedem

Angela Hennessy, M.A. in Mathematics

Advisor: L. Washington

Thesis title: Gröbner bases with applications in graph theory

Ryan Hoban, M.A. in Mathematics

Advisor: W. Goldman

Christopher Manon, M.A. in Mathematics

Advisor: J. Millson

David Shoup, M.A. in Mathematics

Advisor: C. Berenstein

Spring 2007

PhD

David Bourne, Ph.D. in Mathematics

Advisor: S. Antman

Dissertation Title: The Taylor-Couette Problem in a Deformable Cylinder

Somantika Datta, Ph.D. in Mathematics

Advisor: J. Benedetto

Dissertation Title: Wiener's Generalized Harmonic Analysis in Waveform Design

Andrew Dykstra, Ph.D. in Mathematics

Advisor: M. Boyle

Dissertation Title: Two Equivalence Relations in Symbolic Dynamics

Eric Errthum, Ph.D. in Mathematics

Advisor: S. Kudla

Dissertation Title: Singular Moduli of Shimura Curves

Tatiana Howard, Ph.D. in Mathematics

Advisor: J. Adams

Dissertation Title: Lifting of Characters p-adic Orthogonal and Metaplectic Groups

Taejung Kim, Ph.D. in Mathematics

Advisor: W. Goldman

Dissertation Title: An Investigation on Holomorphic Vector Bundles and Krichever-Lax Matrices Over an Algebraic Curve

Ashwin Pande, Ph.D. in Mathematics

Advisor: J. Rosenberg

Dissertation Title: Topological T-Duality for KK-Monopoles, Gerbes and Automorphisms

Susan Schmoyer, Ph.D. in Mathematics

Advisor: L. Washington

Dissertation Title: Triviality and Nontriviality of Tate-Lichtenbaum Self Pairings

Christian Zorn, Ph.D. in Mathematics

Advisor: S. Kudla

Dissertation Title: Computing Local L-Factors for the Unramified Principal Series of Sp(2, F) and Its Metaplectic Cover

Shanshan Wang, Ph.D. in Statistics

Advisors: W. Jank and P. Smith

Dissertation Title: Exploring and Modeling Online Auctions using Functional Data Analysis

MA

Juliana Belding, M.A. in Mathematics

Advisor: L. Washington

Scholarly Paper Title: The Discrete Logarithm Problem on the p-torsion Subgroup of Elliptic Curves

Cecilia Gonzalez-Tokman, M.A. in Mathematics

Advisor: B. Hunt

Scholarly Paper Title: Strange Non-chaotic Attractors

Eun Young Kim, M.A. in Mathematics

Advisor: J.-G. Liu

Scholarly Paper Title: Modelling, analysis and computational aspects of electrostatics for biomolecules

Na An, M.A. in Mathematical Statistics

Advisor: P. Smith

Thesis Title: Baseline Adjustment for Ordinal Covariates by Inducing a Partial Ordering in Randomized Clinical Trials

Summer 2007

PhD

Ganesh Nadarajasundaram, PhD in Mathematical Statistics

Advisors E. Slud and P.Lahari

Dissertation Title: Small Area Estimation and Prediction Problems

Kathryn Truman, PhD in Mathematics

Advisor: L. Washington

Dissertation Title: Analysis and Extension of Non-Commutative NTRU

Shihua Wen, PhD in Mathematical Statistics

Advisor: B. Kedem

Dissertation Title:Simi-Parametric Cluster Detection

Amy Finkbeiner, PhD in Mathematics

Advisor: J. Yorke

Dissertation Title: Global Phenomena from Local Rules: Peer to Peer Networks and Discrete Chrystal Steps

Fall, 2007

PhD

Huillin Li, PhD in Mathematical Statistics

Advisor: P. Lahari

Dissertation Title: Small Area Estimation: An Empirical Best Linear Unbiased Prediction Approach

Guanhua Lu, PhD in Mathematical Statistics

Advisor: B. Kedem

Dissertation Title: Asymptotic Theory in Multiple-Sample Semiparametric Density Ratio Models and its Application to Mortality Forecasting

Min Min, PhD in Mathematical Statistics

Advisor: P. Smith

Dissertation Title: Asymptotic Normality in Generalized Linear Mixed Models.

Onur Oktay, PhD in Mathematics

Advisor: J. Benedetto

Dissertation Title: Frame Quantization Theory and Equitriangular Tight Frames

MA

Morgan Stern, MA in Mathematics

Advisor: L. Washington

Aneesah Williams, MA in Mathematical Statistics

Advisor: E. Slud

Thesis Title: Fay-Herriot Small Area Estimation in the Survey of Business Owners

Spring, 2008

PhD

Juliana Belding, PhD in Mathematics

Advisor: L. Washington

Dissertation Title: Number Theoretic Algorithms for Elliptic Curves

Hunter Johnson, PhD in Mathematics

Advisor: C. Laskowski

Dissertation Title: Definable Families of Finite VC Dimension

Nicholas Long, PhD in Mathematics

Advisor: M. Boyle

Dissertation Title: Involutions of Shifts of Finite Type: Fixed Point Shifts, Orbit Quotients, and the Dimension Representation

Jane Long, PhD in Mathematics

Advisor: J. Schafer

Dissertation Title: The Cohomology of the Affine Group over F_p² and of PSL(3, F_p)

Yabing Mai, PhD in Mathematical Statistics

Advisor: E. Slud

Dissertation Title: Comparing Survival Distributions in the Presence of Dependent Censoring: Asymptotic Validity and Bias Correction of the Logrank Test

Tinghui Yu, PhD in Mathematical Statistics

Advisor: A. Kagan

Estimation Theory of a Location Parameter in Small Samples

MA

Nicolas Flores-Castillo, MA in Mathematics

Advisor: K. Grove

Thesis Title: Synge's Trick Revisted

John Habert, MA in Mathematics

Advisor: L. Washington

Anton Lukyanenko, MA in Mathematics

Advisor: W. Goldman

Projective Deformations of Triangle Tilings

Cristian Tomesetti, MA in Mathematics

Advisor: D. Dolgopyat