# Ph.D. Graduates

Thesis Adviser: Nigel Higson

Degree Year: 2019

Research Interests: Geometry, Representation Theory and Physics

Thesis Adviser: Ludmil Zikatanov

Thesis Title: Analysis and Robust Preconditioning for Numerical Implementations of Richards' Equations in Groundwater Flow

Degree Year: 2019

Thesis Adviser: Diane Henderson

Thesis Title: Interfacial Waves Between Two Fluids With a Shear Flow

Degree Year: 2019

Education: B.S. in Mathematics, Lebanon Valley College, 2009

B.S. in Computer Science, Lebanon Valley College, 2009

B.S. in Computer Science, Lebanon Valley College, 2009

Research Interests: Wind generated ocean waves, applied mathematics, numerical methods, partial differential equations

Thesis Adviser: Xiantao Li

Thesis Title: FIRST-PRINCIPLE BASED MODEL REDUCTION METHOD WITH APPLICATIONS IN MOLECULAR DYNAMICS

Degree Year: 2019

Thesis Adviser: Dmitri Burago

Thesis Title: Entropy of the Lorentz Gas and Other Results

Degree Year: 2019

Research Interests: Dynamical Systems

Thesis Adviser: Chun Liu and James Brannick

Thesis Title: Energetic variational approaches and numerical analysis in complex fluids

Degree Year: 2019

Education: B.S. in Applied Mathematics and Computer Science, Belarusian State University, 2012

Research Interests: PDE analysis and computations, fluid dynamics, complex fluids, hyperbolic systems of conservation laws

Thesis Adviser: Vladimir Itskov

Thesis Title: THERMODYNAMIC FORMALISM BEYOND UNIFORMLY HYPERBOLIC SYSTEMS

Degree Year: 2019

Research Interests: Applied homological algebra, topological data analysis, mathematical neuroscience

Thesis Adviser: George Andrews and Ae Ja Yee

Thesis Title: Studies of partition functions with conditions on parts and parity

Degree Year: 2019

Thesis Adviser: Nigel Higson

Degree Year: 2019

Education: B.S. in Mathematics and Applied Mathematics, Fudan University, 2012

Research Interests: noncommutative geometry, representation of real semisimple Lie groups, Plancherel formula, symplectic geometry

Thesis Adviser: Jason Morton

Thesis Title: An Algebraic Perspective on Computing with Data

Degree Year: 2019

Thesis Adviser: Ludmil Zikatanov

Thesis Title: NUMERICAL SOLUTIONS OF INDEFINITE PROBLEMS AND AQUATIC INVASIVE SPECIES MODELING

Degree Year: 2019

Education: B.S. in Mathematics,University of Science and Technology of China,2014

Research Interests: Computational mathematics, multigrid method.

Thesis Adviser: Nigel Higson

Thesis Title: SPINORS AND THE TANGENT GROUPOID

Degree Year: 2019

Thesis Adviser: Yakov Pesin

Thesis Title: THERMODYNAMIC FORMALISM BEYOND UNIFORMLY HYPERBOLIC SYSTEMS

Degree Year: 2019

Thesis Adviser: Svetlana Katok

Thesis Title: Boundary maps and their natural extensions associated with Fuchsian and Kleinian groups

Degree Year: 2018

Job Description: Assistant Professor (Adiunkt), Institute of Mathematics, Polish Academy of Sciences

Research Interests: Dynamical Systems

Thesis Adviser: Kirsten Eisentraeger

Thesis Title: Constructing curves with complex multiplication using the Chinese remainder theorem

Degree Year: 2018

Research Interests: Arithmetic Geometry, Number Theory, Cryptography

Thesis Adviser: Winnie Li

Thesis Title: Prime geodesic theorems for complexes from PGL3 (F) and PGSP4 (F)

Degree Year: 2018

Research Interests: Number Theory

Thesis Adviser: Anatole Katok

Thesis Title: Density properties of certain group actions and joining rigidity of some smooth singular flows

Degree Year: 2018

Job Description: Brin Postdoc, University of Maryland, College Park

Research Interests: Dynamical Systems

Thesis Adviser: Anatole Katok

Thesis Title: Flexibility of some dynamical and geometric data

Degree Year: 2018

Job Description: Zassenhaus Assistant Professor, Ohio State University

Research Interests: Dynamical Systems

Thesis Adviser: Leonid Berlyand

Thesis Title: Vertices in the Ginzburg-Landau superconductivity model

Degree Year: 2018

Research Interests: Partial Differential Equations

Thesis Adviser: Jason Morton

Thesis Title: Distributed Computational Systems

Degree Year: 2018

Research Interests: Computational Algebraic Geometry and Commutative Algebra, Neural Networks

Thesis Adviser: Ping Xu and Mathieu Stienon

Degree Year: 2018

Thesis Adviser: Kirsten Eisentraeger

Thesis Title: Local-global principles and diophantive sets in rings of number-theoretic interest

Degree Year: 2018

Research Interests: Number Theory

Thesis Adviser: Federico Rodriguez Hertz

Degree Year: 2018

Thesis Adviser: Anatole Katok

Thesis Title: Real-analytic AbC method on the torus

Degree Year: 2017

Job Description: 2017 - 2018: Data Science Research Fellow. Albert Einstein College of Medicine.
2018 - present: Assistant Professor, Indraprastha Institute of Informations technology, Dehli, India

Research Interests: Dynamical Systems

Thesis Adviser: James Brannick

Thesis Title: Studies on the local times of discrete-time stochastic processes

Degree Year: 2017

Education: B.S. Nankai University, 2010

Research Interests: Probability

Thesis Adviser: Dmitri Burago

Thesis Title: On some problems in Lagnangian dynamics and Finsler geometry

Degree Year: 2017

Research Interests: Dynamical Systems Differential Geometry

Thesis Adviser: Sergei Tabachnikov

Thesis Title: Skew flat fibrations and totally convex immersions

Degree Year: 2017

Research Interests: Differential Topology

Thesis Adviser: Leonid Berlyand

Thesis Title: Analytical and numerical studies on minimal models of crawling cell motion

Degree Year: 2017

Research Interests: Applied mathematics, mathematical biology

Thesis Adviser: Jan Reimann

Degree Year: 2017

Career Bio: Randomness of restricted value martingales, selection rules, and graph sequences

Research Interests: Mathematical Logic

Thesis Adviser: Qiang Du

Thesis Title: Study of nonlinear peridynamics and nonlocal kernel functions

Degree Year: 2017

Research Interests: Partial differential equations

Thesis Adviser: Anna Mazzucato and Victor Nistor

Thesis Title: Parabolic transmission problem and applications to the finite element method

Degree Year: 2017

Education: B.S. Nankai Univerisity 2011

Research Interests: PDE, Applied Mathematics

Thesis Adviser: Jinchao Xu

Thesis Title: Algebraic multigrid methods and their applications

Degree Year: 2017

Education: B.S. in Mathematics and Applied Mathematics,

Research Interests: Algebraic multigrid method (AMG) and its application.

Thesis Adviser: Manfred Denker

Thesis Title: Studies on the local times of discrete-time stochastic processes

Degree Year: 2017

Research Interests: Probability

Thesis Adviser: Gary Mullen

Thesis Title: "Orthogonal sets of Latin Squares and Class-r hypercubes generated by finite algebraic systems"

Degree Year: 2016

Career Bio: Visiting Assistant Professor, Franklin & Marshall College

Education: B.A. Mathematics and Physics, Franklin & Marshall College, 2010.

Research Interests: Latin squares, finite fields, transcendental number theory.

Thesis Adviser: Nathanial Brown

Degree Year: 2016

Career Bio: Postdoc, University of Muenster, Germany 2016 -

Research Interests: Operator Algebras

Thesis Adviser: Jinchao Xu

Thesis Title: "Fast Solvers for Incompressible MHD Systems"

Degree Year: 2016

Thesis Adviser: Alberto Bressan

Degree Year: 2016

Thesis Adviser: Victor Nistor and Anna Mazzucato

Degree Year: 2016

Research Interests: Option pricing

Thesis Adviser: Yuxi Zheng

Degree Year: 2016

Education: B.S.,Mathematics, Peking University

Thesis Adviser: Nigel Higson

Thesis Title: "C*-Algebras in Kirillov Theory"

Degree Year: 2015

Thesis Adviser: Qiang Du

Thesis Title: "Nonlocal models with convection effects"

Degree Year: 2015

Thesis Adviser: Nigel Higson

Thesis Title: "Quantization of affine coadjoint orbits"

Degree Year: 2015

Thesis Adviser: Jinchao Xu

Thesis Title: "General purpose compositional simulation for multiphase reactive flow with a fast linear solver"

Degree Year: 2015

Education: B.S.,Peking University

Research Interests: Reservoir Simulation

Thesis Adviser: Jason Morton

Thesis Title: The invariant theory and geometry pertaining to tensor networks and some further applications

Degree Year: 2015

Career Bio: Postdoc, Mathematics, University of Amsterdam, Amsterdam, Netherlands

Thesis Adviser: Winnie Li

Degree Year: 2015

Career Bio: Postdoc at McGill University

Xuan Zhang

Thesis Adviser: Manfred Denker

Thesis Title: Studies on the weak convergence of partial sums in Gibbs-Markov dynamical systems

Degree Year: 2015

Career Bio: Special visiting researcher, Instituto de Mathematica, Universidade Federal do Rio de Janeiro, Brazil

Chao Liang

Thesis Adviser: Victor Nistor and Xiantao Li

Thesis Title: Approximate solutions to Second Order Parabolic Equations with Applications to Financial Modeling

Degree Year: 2014

Career Bio: Associate, Fixed income division, Morgan Stanley, New York, NY

Shawn Ryan

Thesis Adviser: Leonid Berlyand

Thesis Title: Effective properties and collective dynamics in bacterial suspensions

Degree Year: 2014

Career Bio: 2017-Assistant Professor, Cleveland State University
Postdoctoral research associate, Department of Mathematics/Liquid Crystal Institute, Kent state University, Kent, OH

Lu Wang

Thesis Adviser: Jinchao Xu

Thesis Title: The auxiliary space solvers and their applications

Degree Year: 2014

Career Bio: Postdoctoral researcher, Center for applied scientific computing, Lawrence Livermore National Laboratory, Livermore CA

Weisheng Wu

Thesis Adviser: Federico Rodriguez Hertz and Anatole Katok

Thesis Title: Geodesic flows on manifolds of nonpositive curvature and nonsense orbits in partially hyperbolic systems

Degree Year: 2014

Career Bio: Postdoctoral Fellow, School of Mathematical Sciences, peking University, Beijing, China

Dongmei Zhang

Thesis Adviser: Tim Reluga

Thesis Title: Control Problems in Infectious Disease Management

Degree Year: 2014

Sankha Basu

Thesis Adviser: Stephen G. Simpson

Thesis Title: A model of intuitionism based on Turing degrees

Degree Year: 2013

Career Bio: Lecturer, Department of Mathematics, Penn State

Giancarlo Facchi

Thesis Adviser: Alberto Bressan

Thesis Title: Optimal bidding in a limit order book

Degree Year: 2013

Career Bio: Quantitative Researcher, J. P. Morgan

Ryan Flynn

Thesis Adviser: Mihran Papikian

Thesis Title: Quaternion algebras and elliptic curves over function fields of finite characteristic

Degree Year: 2013

Career Bio: Lecturer, Department of Mathematics, Penn State

Ke Han

Thesis Adviser: Alberto Bressan/Terry Friesz

Thesis Title: An analytical approach to sustainable transportation network design

Degree Year: 2013

Career Bio: Assistant Professor, Civil & Environmental Engineering, Imperial College, London

Wei Hong

Thesis Adviser: Ping Xu

Thesis Title: Some problems in Poisson geometry

Degree Year: 2013

Career Bio: Postdoc, Wuhan University

William Hudelson

Thesis Adviser: Stephen G. Simpson

Thesis Title: Partial randomness and Kolmogorov complexity

Degree Year: 2013

Career Bio: Associate, McKinsey and Company

Xiang Ji

Thesis Adviser: Ping Xu

Thesis Title: Deformation problems in Lie algebroids and extended Poisson geometry

Degree Year: 2013

Career Bio: Assistant Professor, Penn State, New Kensington

Degree Year: 2013

Thinh Le

Thesis Adviser: Qiang Du

Thesis Title: Nonlocal exterior calculus on Riemannian manifolds

Degree Year: 2013

Career Bio: Lecturer, Viet Nam National University

Evgeny Mayanskiy

Thesis Adviser: Yuri Zarhin

Thesis Title: Asymptotic Mukai model of M6

Degree Year: 2013

Career Bio: Postdoc, Higher School of Economics, Moscow

Brian Nowakowski

Thesis Adviser: Manfred Denker

Thesis Title: On multi-parameter semimartingales, their integrals and weak convergence

Degree Year: 2013

Career Bio: Technical Staff, MIT Lincoln Laboratory

Noopur Pathak

Thesis Adviser: Stephen G. Simpson

Thesis Title: Computable aspects of measure theory

Degree Year: 2013

Career Bio: Internal Consultant, Ab Initio, Lexington, MA

Yanli Song

Thesis Adviser: Nigel Higson

Thesis Title: Geometric quantization, reduction and k-homology

Degree Year: 2013

Career Bio: Postdoc, University of Toronto

Manoj Verma

Thesis Adviser: Robert Vaughan

Thesis Title: Representation of integers by a family of cubic forms in seven variables

Degree Year: 2013

Career Bio: Postdoc, The Institute of Mathematical Sciences, India

Deling Wei

Thesis Adviser: Alberto Bressan

Thesis Title: Models of noncooperative games

Degree Year: 2013

Career Bio: Associate, Morgan Stanley, New York, NY

Allan Yashinski

Thesis Adviser: Nigel Higson

Thesis Title: Periodic cyclic homology and smooth deformations

Degree Year: 2013

Career Bio: Temporary Assistant Professor, University of Hawaii at Manoa

Shilin Yu

Thesis Adviser: Nigel Higson

Thesis Title: The Dolbeault DGA of a formal neighborhood

Degree Year: 2013

Career Bio: Hans Rodemacher Instructor of Mathematics, University of Pennsylvania

Jingyan Zhang

Thesis Adviser: Qiang Du

Thesis Title: Shrinking Dimet dynamics (SDD) and saddle point search

Degree Year: 2013

Career Bio: Quantitative Researcher, Nine Chapters Capital Management

Chong Ai

Thesis Adviser: Mark Levi

Thesis Title: Effect of tidal dissipation on the motion of celestial bodies

Degree Year: 2012

Serge Ballif

Thesis Adviser: Gary Mullen

Thesis Title: Orthogonality and extendability of latin squares and related structures

Degree Year: 2012

Career Bio: Assistant Professor, Mathematics, Nevada State College

Jianyu Chen

Thesis Adviser: Yakov Pesin

Thesis Title: Coexistence of hyperbolic and non-hyperbolic behavior in smooth dynamical systems

Degree Year: 2012

Career Bio: Research Associate, Mathematics, Michigan State University

Yao Chen

Thesis Adviser: Jams Brannick and Ludmil Zikatanov

Thesis Title: Algebraic multilevel methods for graph Laplacians

Degree Year: 2012

Career Bio: Software engineer, Xbox, Microsoft, Mountain View CA

Tyrone Crisp

Thesis Adviser: Nigel Higson

Thesis Title: Equivariant homology and representation theory of p-adic groups

Degree Year: 2012

Career Bio: Postdoc, Department of Mathematical Sciences, Copenhagen University, Denmark

Seunghun Hong

Thesis Adviser: Nigel Higson

Thesis Title: A Lie-algebraic approach to the local index theorem on compact homogeneous spaces

Degree Year: 2012

Career Bio: Postdoc, Mathematics, Mathematische Institut, Goettingen, Germany
Research Associate, Mathematics, Penn State

Jing-Jing Huang

Thesis Adviser: Robert Vaughan

Thesis Title: Analytic methods for Diophantine problems

Degree Year: 2012

Career Bio: Postdoc, Mathematics, University of Toronto, Canada
Tenure-track Assistant Professor, University of Nevada, Reno

David Koslicki

Thesis Adviser: Manfred Denker

Thesis Title: Substitution Markov chains with applications to molecular evolution

Degree Year: 2012

Career Bio: 2012-13 Postdoc, Mathematical Biosciences Institute, Ohio State University
2013 Assistant Professor, Mathematics, Oregon State University

Oleksandr Misiats

Thesis Adviser: Leonid Berlyand

Thesis Title: Asymptotic analysis of Ginzburg-Landau superconductivity model

Degree Year: 2012

Career Bio: Golomb Assistant Professor, Mathematics, Purdue University;
Tenure-track Assistant professor, Mathematics, Virginia Commonwealth University

Assieh Saadatpour Moghaddam

Thesis Adviser: Mark Levi and Reka Albert

Thesis Title: Dynamic modeling of biological and physical systems

Degree Year: 2012

Career Bio: Postdoctoral Research Fellow, Dana Farber Cancer Institute and Harvard School of Public Health

Prapanpong Pongsriam

Thesis Adviser: Robert Vaughan

Thesis Title: The distribution of the divisor function in arithmetic progressions

Degree Year: 2012

Career Bio: 2012-2015 - Lecturer in Mathematics, Silpakorn University, Thailand
2015-present - Assistant Professor of Mathematics, Silpakorn University, Thailand

Qingqin Qu

Thesis Adviser: Anna Mazzucato and Victor Nistor

Thesis Title: The generalized finite element method: numerical treatment of singularities, interfaces, and boundary conditions

Degree Year: 2012

Career Bio: Lecturer, Mathematics, Idaho State University

Paul Siegel

Thesis Adviser: John Roe

Thesis Title: Homological calculations with the analytic surgery exact sequence

Degree Year: 2012

Career Bio: Ritt Assistant Professor, Mathematics, Columbia University

Michael Tseng

Thesis Adviser: Nathaniel Brown

Thesis Title: Rokhlin actions on AF algebras and classifiability

Degree Year: 2012

Career Bio: Economics Ph.D. student, Simon Fraser University

Kun Zhou

Thesis Adviser: Qiang Du

Thesis Title: The peridynamic theory of solid mechanics

Degree Year: 2012

Career Bio: Associate, Quantitative Equity Trading, UBS Investment Bank, NY

Lin Zhu

Thesis Adviser: Anatole Katok

Thesis Title: Livsic Theorem for cocycles with value in GL(n,Q_p)

Degree Year: 2012

Career Bio: Financial analyst, China

Wen Cheng

Thesis Adviser: Anna Mazzucato and Victor Nistor

Thesis Title: Approximate Solutions to Second Order Parabolic Equations with Applications to Option Pricing

Degree Year: 2011

Career Bio: Quantitative Associate, J.P. Morgan, New York, NY

Arseny Egorov

Thesis Adviser: Svetlana Katok and Anatole Katok

Thesis Title: Symbolic Dynamics of the Weyl Chamber Flow

Degree Year: 2011

Career Bio: Knowledge Engineer, Reasoning Mind Inc., Houston, TX

Yang Fang

Thesis Adviser: Wen-Ching Winnie Li

Thesis Title: Zeta functions of complexes from PGTSP(4)

Degree Year: 2011

Shishuo Fu

Thesis Adviser: George Andrews

Thesis Title: Bijective methods and combinatorial studies of problems in partition theory and related areas

Degree Year: 2011

Career Bio: Postdoc, Korea Advanced Institute of Science and Technology, Daejeon, Korea

Thesis Adviser: Leonid Berlyand

Thesis Title: Effective viscosity of dilute bacterial suspecsions

Degree Year: 2011

Career Bio: 2011, Nicholas C. Metropolis Postdoctoral Fellow, Los Alamos National Laboratory, Los Alamos, NM
2013, Scientist, Los Alamos National Laboratory, Los Alamos, NM

Andong He

Thesis Adviser: Andrew Belmonte and Mark Levi

Thesis Title: Conformal mapping and variational methods for interfacial dynamics in fluids

Degree Year: 2011

Career Bio: 2011, Postdoctoral Research Associate — Institute for Computational and Experimental Research in Mathematics, Brown University
2013, Postdoc, Yale University

Jonas Kibelbek

Thesis Adviser: Wen-Ching Winnie Li

Thesis Title: Formal groups and Atkin and Swinnerton-Dyer congruences

Degree Year: 2011

Career Bio: Postdoc, Iowa State University

Yanping Ma

Thesis Adviser: Qiang Du and Cheng Dong

Thesis Title: Population Dynamics Modeling of Heterotypic Cell

Degree Year: 2011

Career Bio: Tenure-track Assistant Professor, Loyola University, Los Angeles, CA

Yu Qiao

Thesis Adviser: Victor Nistor and John Roe

Thesis Title: Analysis on singular spaces: applications of operator algebras to Boundary value problems

Degree Year: 2011

Huan Sun

Thesis Adviser: Chun Liu and James Brannick

Thesis Title: An Energetic Variational Approach to Modeling Complex Fluids and Its Numerical Simulations

Degree Year: 2011

Career Bio: Software Development Engineer, Amazon.com Inc., Seattle, WA

Heiko Todt

Thesis Adviser: George Andrews

Thesis Title: Asymptotics of partition functions

Degree Year: 2011

Career Bio: 2011, Assistant Professor, Mathematics, Stonehill College, Easton, MA

Tao Wang

Thesis Adviser: Alberto Bressan

Thesis Title: Mathematical Control and Dynamic Blocking Problems

Degree Year: 2011

Xiang Xu

Thesis Adviser: Chun Liu

Thesis Title: Topics on Stability of Complex Fluid Models

Degree Year: 2011

Career Bio: Postdoc, Department of Mathematics, Carnegie Mellon University, Pittsburgh, PA
2014, Visiting Assistant Professor, Purdue University
2015, Tenure-track Assistant Professor, Old Dominion University

Yanxiang Zhao

Thesis Adviser: Qiang Du

Thesis Title: Phase Field Modeling on Multicomponent Vesicle Adhesion and Fusion

Degree Year: 2011

Career Bio: 2011-14 Postdoc Scholar, Mathematics, University of California San Diego
2014, Tenure-track assistant professor, Mathematics, George Washington University

Vaughn Climenhaga

Thesis Adviser: Yakov Pesin

Thesis Title: Thermodynamic formalism and multifractal for general topological dynamical systems

Degree Year: 2010

Career Bio: 2010/2011- Faculty Research Assistant, University of Maryland, College Park
2011/2012- NSERC Postdoctoral Fellow, University of Toronto
2012, Assistant Professor University of Houston

Van Cyr

Thesis Adviser: Omri Sarig

Thesis Title: Transient Markov shifts

Degree Year: 2010

Career Bio: 2010-13 Boas Assistant Professor, Northwestern University
2013, Assistant Professor, Bucknell University

Vitaly Gyrya

Thesis Adviser: Leonid Berlyand

Thesis Title: Effective viscosity and dynamics of suspensions of microswimmers

Degree Year: 2010

Career Bio: Postdoc, Applied Mathematics and Plasma Physics Group, Los Alamos National Laboratory

Steven Hair

Associate Teaching Professor & Coordinator of Advising

104L McAllister Building

814 865 7528

Degree Year: 2010

Education: Ph.D. Penn State University, 2010

Michael Higley

Thesis Adviser: Andrew Belmonte

Thesis Title: Stochastic and deterministic processes in fragmentation and sedimenation

Degree Year: 2010

Career Bio: Postdoc, New Jersey Institute of Technology, Newark, NJ

Ming-Hsuan Kang

Thesis Adviser: Wen-Ching Winnie Li

Thesis Title: Zeta functions and applications of group based complexes

Degree Year: 2010

Career Bio: 2011-12, Visiting scholar, Purdue University, West Lafayette, IN
2014, Assistant Professor, Department of applied mathematics, National Chiao Tung University, Taiwan

Manlin Li

Thesis Adviser: Qiang Du

Thesis Title: Analysis of deterministic and stochastic implicit interface interaction models of fluid-interface interactions

Degree Year: 2010

Career Bio: Microsoft, Redmond, WA

Tianjiang Li

Thesis Adviser: Qiang Du

Thesis Title: Abstract principal component analysis and applications to model reduction

Degree Year: 2010

Career Bio: Seismic imager, CGGVeritas, Houston, TX

Sergey Orshanskiy

Thesis Adviser: Dmitri Burago

Thesis Title: A PL-manifold of nonnegative curvature homeomorphic to S2xS2 is a direct metric product

Degree Year: 2010

Career Bio: 2010-12, Associate, IT Investment Banking, Credit Suisse Securities (USA) LLC, New York, NY
2014, Data Scientist, Bask Labs

John Skukalek

Thesis Adviser: Nigel Higson

Thesis Title: On the Higson-Mackey analogy, group C*-algebras, and K-theory

Degree Year: 2010

Career Bio: 2010, Professional Lecturer, Department of Mathematics and Statistics, American University, Washington D.C.

Peng Sun

Thesis Adviser: Anatole Katok

Thesis Title: Entropy and invariant measures for skew product maps

Degree Year: 2010

Career Bio: Assistant Professor, China Economics and Management Academy, Beijing, China

Zhenqi Wang

Thesis Adviser: Anatole Katok

Thesis Title: Partially hyperbolic actions

Degree Year: 2010

Career Bio: 2010-13, Gibbs Assistant Professor, Yale University
2013, Assistant Professor, Michigan State University

Chenying Wang

Thesis Adviser: Wen_Ching Winnie Li

Thesis Title: Coding theory

Degree Year: 2010

Career Bio: Lecturer, Penn State University

Jiangwei Xue

Thesis Adviser: Yuri Zarhin

Thesis Title: The endomorphism algebras and Hodge groups of certain superelliptic Jacobians

Degree Year: 2010

Career Bio: Postdoc, Math. division, National Theoretical Science Center, National Tsinghua University, Taiwan
2014, Associate Professor, Wuhan University, China

Chris George

Thesis Adviser: Nigel Higson

Thesis Title: The Mackey analogy for SL(n,R)

Degree Year: 2009

Career Bio: Assistant Professor, Nazareth College, NY

Andriy Gogolyev

Thesis Adviser: Anatole Katok

Thesis Title: Smooth conjugacy in hyperbolic dynamics

Degree Year: 2009

Career Bio: 2009-11, R.H. Bing Instructor, University of Texas, Austin
2012 - Assistant Professor, Binhampton University
2017 - Associate Professor, Ohio State University

Melchior Grutzmann

Thesis Adviser: Ping Xu

Thesis Title: Courant algebroids: cohomology and matched pairs

Degree Year: 2009

Career Bio: Research Assistant/Postdoc, Sun Yat-Sen University, Guangzhou, China

Wing Kai Ho

Thesis Adviser: Dmitri Burago

Thesis Title: On geodesics on compact Riemannian surfaces

Degree Year: 2009

Career Bio: University of Hong Kong, Hong Kong

Kagan Kursungoz

Thesis Adviser: George Andrews

Thesis Title: Parity considerations in Andrews-Gordon identities and the K-marked Dufree symbols

Degree Year: 2009

Career Bio: 2009-11, Lecturer, The Pennsylvania State University
2012, Assistant Professor, Faculty of Engineering and Natural Sciences, Sabancı University, İstanbul, Turkey

Min Lu

Thesis Adviser: Wen-Ching Winnie Li

Thesis Title: Low density parity check codes: asymptotic behavior and zeta functions

Degree Year: 2009

Career Bio: Data Specialist, Dynamic Technology Lab, Singapore

Dmitry Scheglov

Thesis Adviser: Anatole Katok

Thesis Title: Absence of mixing for smooth flows on the genus two surface

Degree Year: 2009

Career Bio: 2009-12, Assistant Professor, University of Oklahoma, Norman OK
2013, Federal Fluminense University, Brazil

Daniele Signori

Thesis Adviser: Ping Xu and Adrian Ocneanu

Thesis Title: Poisson sigma models, reduction and nonlinear gauge theories

Degree Year: 2009

Career Bio: Graduate student in Economics, Simon Fraser University, Burnaby, BC, Canada

Rufus Willett

Thesis Adviser: John Roe

Thesis Title: Bond-dominated operators and the stable Higson corona

Degree Year: 2009

Career Bio: 2009-12, Assistant Professor, Vanderbilt University, Nashville, TN
2013, Assistant professor, University of Hawai'i

Lei Zhang

Thesis Adviser: Qiang Du

Thesis Title: Phase field model for the nucleation in solid state phase transformations: theories, algorithms and applications

Degree Year: 2009

Career Bio: Visiting Assistant Professor, UC Irvine

Durkbin Cho

Thesis Adviser: Ludmil Zikatanov

Thesis Title: Multilevel methods for the generalized finite element method discretizations

Degree Year: 2008

Career Bio: Research Associate, Department of Mathematics, Penn State

Thesis Adviser: Kris Jenssen

Degree Year: 2008

John Ethier

Thesis Adviser: Gary Mullen

Thesis Title: Strong forms of orthogonality

Degree Year: 2008

Career Bio: Assistant Professor, Department of Mathematics, Metropolitan State College of Denver

Thesis Adviser: Victor Nistor and Ludmil Zikatanov

Thesis Title: Elliptic equations with singularities: a-priori analysis and numerical approaches

Degree Year: 2008

Career Bio: 2008-2010, Philip T. Church Postdoc Fellow, Department of Mathematics, Syracuse University
2010-2011, IMA Postdoc Associate, Institute for Mathematics and its applications, University of Minnesota
2011, Tenure track Assistant Professor, Wayne State University

Uuye Otgonbayar

Thesis Adviser: Nigel Higson

Thesis Title: The local index theorem in noncommutative geoemtry

Degree Year: 2008

Career Bio: 2008-11, Postdoc, Mathematical Sciences, Copenhagen University, Copenhagen, Denmark
2012, Research Associate, EPSRC Postdoctoral Research Fellow, Cardiff University, Wales, UK

Jia Pan

Thesis Adviser: Edward Green and Jenny Li

Thesis Title: Optimal intermediated investment in a liquidity-driven business cycle

Degree Year: 2008

Career Bio: Assistant Professor, Economic Department, Fudan University, Shanghai, China

Bryce Weaver

Thesis Adviser: Anatole Katok

Thesis Title: Growth rate of periodic orbits for geodesic flows

Degree Year: 2008

Career Bio: 2012-15, Zorn Postdoctoral Fellow, Mathematics, Indiana University, Bloomington

Guangri Xue

Thesis Adviser: Jinchao Xu

Thesis Title: Mathematical modeling and computation of fuel cells

Degree Year: 2008

Career Bio: Postdoc, Institute for Computational Engineering and Science, University of Texas at Austin
2014, Lawrence Livermore National Laboratory

Bin Zheng

Thesis Adviser: Jinchao Xu

Thesis Title: Finite element approximations of high order partial differential equations

Degree Year: 2008

Yunrong Zhu

Thesis Adviser: Jinchao Xu

Thesis Title: Robust preconditions for H(grad), H(curl) and H(div) systems with strongly discontinuous coefficients

Degree Year: 2008

Career Bio: 2008, Postdoc, Department of Mathematics, University of California, San Diego

Seunghoon Bang

Thesis Adviser: Yuxi Zheng

Thesis Title: Rarefaction Wave of Pressure - Gradient System

Degree Year: 2007

Career Bio: 2007, Instructor, Lock Haven University
Lecturer, Department of Mathematics, Penn State

James Barton

Thesis Adviser: Ping Xu

Thesis Title: Generalized complex structures on Courant algebroids

Degree Year: 2007

Thesis Adviser: Yakov Pesin

Thesis Title: Dynamics of the Local Map of a Discrete Brusselator Model

Degree Year: 2007

Career Bio: 2007-08, Postdoc, Faculty of Science, Hokkaido University, Hokkaido, Japan
2011, Assistant Professor, Math at Soongsil Univ. Korea

Thesis Adviser: George Andrews

Thesis Title: Rank of Partitions and Degree Symbols

Degree Year: 2007

Career Bio: 2007, Auxiliary faculty, Mathematics, Drexel University, Philadelphia, PA
2013, Assistant Professor, Michigan Tech University

Michael Rowell

Thesis Adviser: George Andrews and Ae Ja Yee

Thesis Title: The Bailey Transform and Conjugate Bailey Pairs

Degree Year: 2007

Career Bio: 2007, Instructor, Mathematics, Penn State
2008, Assistant Professor, Pacific University
2010-13, Research Scientist, Amazon.com
2013, Senior Data Scientist, Microsoft

Gordana Stojanovic

Thesis Adviser: Sergei Tabachnikov

Thesis Title: Embeddings with certain non-degeneracy conditions

Degree Year: 2007

Career Bio: 2007, Postdoc, School of Mathematics, Georgia Institute of Technology, Atlanta, GA

Jiakou Wang

Thesis Adviser: Qiang Du

Thesis Title: Stochastic and Deterministic Coagulation Models, their numerical Approximations and Application to Cell Aggregation

Degree Year: 2007

Career Bio: 2007, Senior Associate, Department of fixed income, Lehman Brothers, Tokyo, Japan

Thesis Adviser: Yakov Pesin

Thesis Title: Therodynamic formalism for maps with inducing schemes

Degree Year: 2007

Career Bio: 2007, Lecturer, University of Maryland, College Park, MD
2010, Assistant Professor, University of Toronto, Canada

Travis Fisher

Thesis Adviser: Anatole Katok

Thesis Title: Some Results in Hyperbolic Dynamics

Degree Year: 2006

Career Bio: 2006-2010, Quant developer, Bloomberg LP, New York
June 2010 – Present, Executive Director, Morgan Stanley, New York

Yuliya Gorb

Thesis Adviser: Leonid Berlyand

Thesis Title: Asymptotic Analysis of Effective Properties of Highly Concentrated Composites

Degree Year: 2006

Career Bio: 2006, Visiting Assistant Professor, Mathematics, Texas A&M University

Thesis Adviser: Wen-Ching Winnie Li

Thesis Title: Operators Based on Double Cosets of GL2

Degree Year: 2006

Career Bio: 2009-12, Assistant Professor, Chulalongkorn University, Bangkok, Thailand
2012-, Associate Professor, Chulalongkorn University, Bangkok, Thailand

David Mieczkowski

Thesis Adviser: Anatole Katok

Thesis Title: The Cohomological Equation and Representation Theory

Degree Year: 2006

Career Bio: 2006, Cornell Business School, New York
2014, Senior Quantitative Analyst, Fidelity Investments

Thesis Adviser: Yakov Pesin

Thesis Title: Thermodynamic Formalism for Nonuniformly Hyperbolic Dynamical Systems

Degree Year: 2006

Career Bio: 2006, Visiting Research Instructor, Mathematics, Michigan State University
2007, Visiting Assistant Professor, Mathematics, Alfred University, Alfred, NY
2008, Assistant Professor, Mathematics, Marshall University, Huntington, WV

Rolf J. Ryham

Thesis Adviser: Chun Liu

Thesis Title: An Energetic Variational Approach to Mathematical Modeling of Charged Fluids: Charge Phases, Simulation and Well Posedness

Degree Year: 2006

Career Bio: 2006, VIGRE Lovett Instructor, Mathematics, Rice University, Texas
2012-, Assistant Professor, Department of Mathematics
Fordham University

Shih-Chang Tsao

Thesis Adviser: Wen-Ching Winnie Li

Thesis Title: On Explicit Constructions and Improved Bounds of Algebraic Geometry Codes

Degree Year: 2006

Career Bio: 2006, Engineer/Analyst, ToLink Inc., Taipei, Taiwan

Thesis Adviser: Nigel Higson

Thesis Title: Analytic Structures for the Index Theory of SL(3, C)

Degree Year: 2006

Career Bio: 2006, Visiting Professor, Mathematics, University of Muenster, Germany
2011-, Lecturer (tenured), Laboratoire de math ́ematiques,
Universit ́e Blaise Pascal, Clermont-Ferrand II

Thesis Adviser: Jinchao Xu

Thesis Title: Robust and Accurate Algorithms for Solving Anisotropic Singularities

Degree Year: 2005

Career Bio: 2005, Postdoc, Mathematics, University of California at San Diego
2006, Postdoc, Mathematics, University of Maryland
2007, Tenure-track Assistant Professor, University of California, Irvine
2011-, Associate Professor, University of California, Irvine

Thesis Adviser: Victor Nistor

Thesis Title: Equivariant Non-commutative Residue and an Equivariant Weyl's Theorem

Degree Year: 2005

Career Bio: 2006-10, Postdoc, Mathematics, University of Vienna, Austria
2010-, Researcher, Wolfgang Pauli Institute, Vienna, Austria

Thesis Adviser: Yuri Zarhin

Thesis Title: Hyperelliptic Jacobians with Real Multiplication

Degree Year: 2005

Career Bio: 2005, Postdoc, Mathematics, Hebrew University, Jerusalem, Israel
2006, Postdoc, Mathematics, Colorado State University
2010-11, Marie Curie Incoming International Fellow, Mathematics, Warwick University, England
2011-, Software engineer, Google

Thesis Adviser: Qiang Du

Thesis Title: Multilevel and Adaptive Methods for some Nonlinear Optimization Problems

Degree Year: 2005

Career Bio: 2005, CNA Postdoc, Mathematical Sciences, Carnegie Mellon University, Pennsylvania
2007, Assistant Professor, George Mason University, Fairfax, VA
2012-, Associate Professor, George Mason University, Fairfax, VA

Johannes H.A.M. Van Erp

Thesis Adviser: Nigel Higson

Thesis Title: The Atiyah-Singer Index Formula for Subelliptic Operators on Contact Manifolds

Degree Year: 2005

Career Bio: 2006, Lecturer, Mathematics, University of Pennsylvania
2012-, Assistant Professor, Dartmouth College

Daniel Genin

Thesis Adviser: Sergei Tabachnikov

Thesis Title: Regular and Chaotic Dynamics of Outer Billiards

Degree Year: 2005

Career Bio: 2005, Penn State, Business School
2006, Lecturer, Mathematics, Penn State
2007, National Institute of Standards, Washington D. C.
2013-, Senior Technical Staff, Johns Hopkins University Applied Physics Laboratory

Degree Year: 2005

Hyun Jeong Kim

Thesis Adviser: John Roe

Thesis Title: Coarse Geometry of Warped Cones

Degree Year: 2005

Career Bio: 2006, Postdoc, Mathematics, University of Muenster, Germany

Kimberly Lloyd

Thesis Adviser: W. Dale Brownawell

Thesis Title: Two Approaches to Measures for Algebraic Independence

Degree Year: 2005

Career Bio: 2006, Technical Services Engineer, Epic Systems Corp., Wisconsin

Viet-Trung Luu

Thesis Adviser: John Roe

Thesis Title: A Large-Scale Approach to K-Homology

Degree Year: 2005

Career Bio: 2006, Mathematics, University of Victoria, Canada
2009-, Software engineer, Google

Dmitry Matsnev

Thesis Adviser: Nigel Higson

Thesis Title: The Baum-Connes Conjecture and Group Actions on Affine Buildings

Degree Year: 2005

Career Bio: 2006, Postdoc, Mathematics, Instituto Superior Tecnico, Lisbon, Portugal
2009-12, Quant, Optiver, Amsterdam Area, Netherlands
2012-, Software engineer, Google, Zurich, Switzerland

Thesis Adviser: Stephen G. Simpson

Thesis Title: On the Reverse Mathematics of General Topology

Degree Year: 2005

Career Bio: 2005-2006, Visiting Assistant Professor, Mathematics, Appalachian State University, North Carolina
2006-2009, Three-year Assistant Professor, Mathematics, University of Michigan
2009, Assistant Professor, Mathematics, Marshall University, Huntington, WV

Gleb Novitchkov

Thesis Adviser: Ping Xu

Thesis Title: Lie Algebroids and BV-Algebras

Degree Year: 2005

Career Bio: 2006, COE Fellow, Mathematics, Keio University, Japan

Christopher Saunders

Thesis Adviser: Augustin Banyaga

Thesis Title: Floer Homology for Almost Hamiltonian Isotopies

Degree Year: 2005

Career Bio: 2005, Assistant Professor, Mathematics, Westminster College, Fulton MO
Associate Professor, Oakton Community College

Yulia Tyurina

Thesis Adviser: Sergei Tabachnikov

Thesis Title: Skew Embeddings and Immersions of Manifolds into Euclidean Spaces in Codimension Two

Degree Year: 2005

Career Bio: 2006, Russian Academy of Sciences, Moscow, Russia

Xiaoqiang Wang

Thesis Adviser: Qiang Du

Thesis Title: Phase Field Models and Simulations of Vesicle Bio-Membranes

Degree Year: 2005

Career Bio: 2005, Postdoc, Institute for Mathematics and Applications, University of Minnesota
2006 onward, Assistant Professor, School of Computational Science, Florida State University

Danijela Damjanovic

Thesis Adviser: Anatole Katok

Thesis Title: Local Rigidity of Partially Hyperbolic Higher Rank Actions on the Torus

Degree Year: 2004

Career Bio: 2004, EPDI Fellowship, IHES, Paris, France
2006, Benjamin Pierce Instructor, Mathematics, Harvard University, Massachusetts
2009-14, Assistant Professor, Rice University,
2014-15, Associate Professor, Rice university
2015-, Associate Professor, KTH, Sweden

Dmitry Gerenrot

Thesis Adviser: Nigel Higson

Thesis Title: Residue Formulation of Chern Character on Smooth Manifolds

Degree Year: 2004

Career Bio: 2004, VIGRE Postdoc, Mathematics, Georgia Institute of Technology

Svetlana Krat

Thesis Adviser: Dmitri Burago

Thesis Title: Approximation Problems in Length Geometry

Degree Year: 2004

Career Bio: 2005, Postdoc in Mathematics, Georgia Institute of Technology

Thesis Adviser: Jinchao Xu

Thesis Title: Modelling and Simulations of non-Newtonian Fluid Flows

Degree Year: 2004

Career Bio: 2004, Adjunct Assistant Professor, University of California at Los Angeles
2007, Tenure-track Assistant Professor, Rutgers University

Jeffrey Raven

Thesis Adviser: Paul F. Baum

Thesis Title: An Equivariant Bivariant Chern Character

Degree Year: 2004

Career Bio: 2005-07, Assistant Professor, Mathematics, Vanderbilt University, Tennessee
2007-10, Staff Actuary, American General Life and Accident
2010-14, Assistant Actuary, Liberty Life Assurance Company of Boston
2014-, Assistant Actuary, Liberty Mutual Insurance

Thesis Adviser: Dmitri Burago

Thesis Title: Several Results Concerning Low-Dimensional Length Spaces

Degree Year: 2004

Career Bio: 2004-10, Assistant Professor, Longwood University, Virginia
2010-, Associate professor, Department Chair, Longwood University, Virginia

Thesis Adviser: Andrew Belmonte

Thesis Title: Experiments and Modeling in Viscoelastic Fluids: Dimpled Drops and Beaded Filaments

Degree Year: 2004

Career Bio: 2004, Visiting Assistant Professor, Mathematics, University of Delaware
2006, Visiting Assistant Professor, Mathematics & Computer Science,
Monmouth College, Illinois

Anna Talitskaya

Thesis Adviser: Yakov Pesin

Thesis Title: Partially Hyperbolic Phenomena in Dynamical Systems with Discrete and Continuous Time

Degree Year: 2004

Career Bio: 2004, Boas Assistant Professor, Northwestern University, Illinois

Thesis Adviser: Svetlana Katok and Anatole Katok

Thesis Title: Symbolic Dynamics for Geodesic Flows, Hyperbolic Measures, and Periodic Orbits

Degree Year: 2004

Career Bio: 2004, G. C. Evans Instructor, Mathematics, Rice University, Texas
2006, Assistant Professor, Mathematics, DePaul University, Illinois
2011, Associate Professor, Mathematics, DePaul University, Illinois

Thesis Adviser: Stephen G. Simpson

Thesis Title: The Medvedev and Muchnik Lattices of Pi01 Classes

Degree Year: 2003

Career Bio: 2003-2004, Instructor at Penn State University
2004-2007, Assistant Professor, University of Connecticut
2007, Assistant Professor, King Fahd University of Petroleum and
Minerals, in Dharan, Saudi Arabia.

Ben Chacon

Thesis Adviser: John Roe

Thesis Title: Undecidability of the Problem of Distinguishing K-theory Classes of the Reduced Group C*-Algebra for a Finitely Presented Group

Degree Year: 2003

Career Bio: 2004, Assistant Professor, Universidad de Costa Rica

Thesis Adviser: Sergei Tabachnikov

Thesis Title: Polygonal Outer Billiards in the Hyperbolic Plane

Degree Year: 2003

Career Bio: 2004, Assistant Professor, Grand Valley State University, Michigan

Thesis Adviser: Robert Vaughan

Thesis Title: On a Variance Arising in the Gauss Circle Problem

Degree Year: 2002

Career Bio: Assistant Professor, Mathematics, Illinois Wesleyan University

Alexander Dryakhlov

Thesis Adviser: Arkady Tempelman

Thesis Title: On Hausdorff Dimension of Random Fractals

Degree Year: 2002

Roland Gunesch

Thesis Adviser: Anatole Katok

Thesis Title: Precise Asymptotics for Periodic Orbits of the Geodesic Flow in Nonpositive Curvature

Degree Year: 2002

Career Bio: 2004, Postdoctoral Researcher, University of Leipzig, Germany
2005, Junior Professor, Mathematics, University of Hamburg, Germany
2015, Professor, Pädagogische Hochschule Vorarlberg, Feldkirch, Germany

Eli Hawkins

Thesis Adviser: Nigel Higson

Thesis Title: Quantization of Multiply Connected Manifolds

Degree Year: 2002

Career Bio: 1999 Physics Ph. D., 2002 Mathematics Ph. D.
2001-2004, Postdoctoral Associate, Scuola Internazionale Superiore di Studi Avanzati, Trieste
2004, Leverhulme Fellow, University of Nottingham, U. K.
2004-2005, Postdoc, University of Western Ontario, Canada
2005 onward, Marie Curie Fellow, Radboud University, Netherlands

Hee-Jung Kim

Thesis Adviser: Augustin Banyaga

Thesis Title: Almost Complex Structures Arising in Contact Geometry

Degree Year: 2002

Career Bio: 2002, Visiting Assistant Professor, University of Toledo, Ohio
2006, Visiting Assistant Professor, Bowling Green State University, Ohio

Vladimir Lemin

Thesis Adviser: Anatole Katok

Thesis Title: Some Properties of Ultrametric Spaces and their Relations to Category Theory and Computer Science

Degree Year: 2002

Thesis Adviser: Wen-Ching Winnie Li

Thesis Title: Modularity of Elliptic Surfaces

Degree Year: 2002

Career Bio: 2002, Postdoc, Institute for Advanced Study, New Jersey
2003 onward, Tenure-track Assistant Professor, Iowa State University

Thesis Adviser: Grzegorz Swiatek

Thesis Title: Geometry of the Julia Set for Some Maps with Invariant Circles

Degree Year: 2002

Career Bio: 2002, Tenure-track Assistant Professor, Wheeling Jesuit University, West Virginia
2006, Assistant Professor, Mathematics, Juniata College
2012-, Associate professor, Mathematics, Juniata College

Alistair Windsor

Thesis Adviser: Anatole Katok

Thesis Title: Liouville Phenomena in Smooth Ergodic Theory

Degree Year: 2002

Career Bio: 2002, Research Associate, University of Manchester, England
2006, Instructor, University of Texas
2007, Assistant Professor, University of Memphis, Memphis, TN

Thesis Adviser: John Roe

Thesis Title: C0 Coarse Geometry

Degree Year: 2002

Career Bio: 2002, Visiting Assistant Professor, Vanderbilt University, Tennessee
2004, Lecturer, University of Southampton, UK

Thesis Adviser: Nigel Higson

Thesis Title: A New Approach to Bivariant K-Theory

Degree Year: 2001

Career Bio: 2001-2003, J. W. Young Research Instructor, Dartmouth College, New Hampshire
2004 onward, Lecturer, Mathematics, University of Arizona

Heath Emerson

Thesis Adviser: Nigel Higson

Thesis Title: An Example of Non-commutative Poincare Duality Arising from Hyperbolic Dynamics

Degree Year: 2001

Career Bio: 2002-2004, Visiting Research Associate, IUPUI, Indiana
2004-2006, Postdoc, Mathematics, University of Muenster, Germany
2006 onward, Assistant Professor (tenure track), University of Victoria, Canada

Thesis Adviser: Andrew Belmonte

Thesis Title: On the Motion of Newtonian and Non-Newtonian Liquid Filaments: Stretching, Beading, Blistering, Pinching

Degree Year: 2001

Career Bio: 2002, NSF VIGRE Postdoctoral Fellow, Mathematics, Duke University
2004, Assistant Professor, Mathematics, Bucknell University, Pennsylvania

Bin Zhang

Thesis Adviser: Jean-Luc Brylinski

Thesis Title: Equivariant Theories and Algebraic Varieties

Degree Year: 2001

Career Bio: 2002, Simmons Instructor, SUNY at Stony Brook, New York

Thesis Adviser: Douglas N. Arnold

Thesis Title: A Linear Shell Theory Based on Variational Principles

Degree Year: 2001

Career Bio: 2002, Tenure-track Assistant Professor, Wayne State University, Michigan

Thesis Adviser: Adrian Ocneanu

Thesis Title: The Spindle Algebra of the Exotic Subfactor and the Asymptotic System

Degree Year: 2000

Career Bio: 2001, Douglas Lectureship, University of Maryland
Assistant Professor, University of California at Riverside

Boris Kalinin

Thesis Adviser: Anatole Katok

Thesis Title: Rigidity of Invariant Measures and Joinings for Higher-Rank Abelian Actions

Degree Year: 2000

Career Bio: 2001, Assistant Professor, Mathematics, University of Michigan
2006, Assistant Professor, Mathematics, University of South Alabama
2007, Associate Professor, Mathematics, University of South Alabama
2012, Associate Professor, Mathematics, Penn State University

Jeremy Lovejoy

Thesis Adviser: George E. Andrews

Thesis Title: Arithmetic and Combinatorial Properites of Partition Functions

Degree Year: 2000

Career Bio: 2001, VIGRE Van Vleck Assistant Professor, Mathematics, University of Wisconsin
2004, Bordeaux, France
2006, CR2, CNRS, LIAFA Universit Paris VII

Thesis Adviser: Wen-Ching Winnie Li

Thesis Title: Algebraic Function Fields with Asymptotically Many Rational Places and Improvements of the Gilbert-Varshamov Bound

Degree Year: 2000

Career Bio: 2000, Postdoc, Austrian Academy of Sciences
2002 onward, Tenure-track Assistant Professor, Clemson University, South Carolina

Victoria Sadovskaya

Thesis Adviser: Yakov Pesin

Thesis Title: Dimensional Properties of Dynamical Systems with Discrete and Continuous Time

Degree Year: 2000

Career Bio: 2001, Assistant Professor, Mathematics, University of Michigan
2006, Assistant Professor, Mathematics, University of South Alabama
2007, Associate Professor, Mathematics, University of South Alabama
2012, Associate Professor, Mathematics, Penn State University

Alexander Ulyanov

Thesis Adviser: Jean-Luc Brylinski

Thesis Title: Polydiagonal Compactification of Configuration Spaces

Degree Year: 2000

Career Bio: 2001, Lecturer, Mathematics, University of Pennsylvania

Thesis Adviser: Svetlana Katok

Thesis Title: Automorphic Forms on Complex Hyperbolic Spaces

Degree Year: 1999

Career Bio: 1999, Visiting Assistant Professor, Northwestern University, Illinois
1999-2000 - University of Arizona, Visiting Assistant Professor
2000-2004, University of Michigan, Assistant Professor
2004, Assistant Professor, Mathematics, University of Western Ontario
2010, Associate Professor, Mathematics, University of Western Ontario

Serge Ferleger

Thesis Adviser: Anatole Katok

Thesis Title: Alexandrov Geometry and Dynamics of Semi-Dispersing

Degree Year: 1999

Career Bio: Billiards on Riemannian Manifolds
2000, Simons Instructor, SUNY at Stony Brook, New York
2003, Renaissance Technologies, East Setauket, New York

Thesis Adviser: Jean-Luc Brylinski

Thesis Title: Representations of Fundamental Groups of Open Kaehler Manifolds

Degree Year: 1999

Career Bio: 1998-1999, Ralph Boas Assistant Professor, Northwestern University, Illinois
1999, Tenure-track Assistant Professor, University of Arizona
2005-2010, Associate Professor, University of Arizona;
2011- Professor at Champlain College Quebec, Quebec, Canada

Thesis Adviser: Nigel Higson

Thesis Title: Hecke C*-Algebras

Degree Year: 1999

Career Bio: Associate Professor (with tenure), St. Joseph's University, Pennsylvania

Thesis Adviser: C. Eugene Wayne

Thesis Title: Synchronization of Chaotic Systems

Degree Year: 1999

Career Bio: 2000, Boston University, Massachusetts
2002, Assistant Professor, Mathematics, University of Houston, Texas
2007, Associate Professor, Mathematics, University of Houston, Texas

Hwanho Kim

Thesis Adviser: Jinchao Xu

Thesis Title: Some New Multigrid Methods for Convection Diffusion Problems

Degree Year: 1999

Career Bio: 2000, Postdoc, Penn State University

Jianqun Lu

Thesis Adviser: Jinchao Xu

Thesis Title: On the Stability of Numerical Solution for Water-Wave Equations

Degree Year: 1999

Thesis Adviser: Douglas N. Arnold

Thesis Title: Asymptotics and Hierarchical Modeling of Thin Domains

Degree Year: 1999

Career Bio: 2000, Postdoc, LNCC, Brazil

Mauricio Mata

Thesis Adviser: Boris Tsygan

Thesis Title: Homotopically Associative Structures on Hochschild and Cyclic Complexes

Degree Year: 1999

Career Bio: 1999, Nationwide Insurance, Actuary

Alexander Mezhirov

Thesis Adviser: Anatole Katok

Thesis Title: Expanding Periodic Points of One-Dimensional Maps and Boundary Behavior of Arbitrary Mappings

Degree Year: 1999

Career Bio: 2000, Member of Technical Staff, Lincoln Labs, MIT, Massachusetts

Quan Shen

Thesis Adviser: M. Carme Calderer

Thesis Title: Mathematical Analysis of Composite System of Liquid Crystal and Polymer

Degree Year: 1999

Career Bio: 1999, Research Assistant Professor, Purdue University, Indiana

Thesis Adviser: Edward Formanek

Thesis Title: On the Irreducible Representations of Braid Groups

Degree Year: 1999

Career Bio: 2006, Visiting Assistant Professor, Mathematics, Penn State
2007, University of Pittsburgh

Thesis Adviser: Ken Ono

Thesis Title: On the Combinatorial and Number Theoretic Properties of (r, e)-Core

Degree Year: 1999

Career Bio: 1999, Tenure-track Assistant Professor, Cal Poly, San Luis Obispo, California

Thesis Adviser: Boris Tsygan

Thesis Title: Operadic Proof of M. Kontsevich's Formality Theorem

Degree Year: 1999

Career Bio: 2000, Benjamin Pierce Assistant Professor, Harvard University, Massachusetts
2002, Assistant Professor, Mathematics, Northwestern University
2007, Associate Professor, Mathematics, Northwestern University

Sergey Yaskolko

Thesis Adviser: Anatole Katok

Thesis Title: Rigidity of Lattice Actions on Boundaries, Coincidence of Various Dimensions Assocated with Metrics and Measures

Degree Year: 1999

Career Bio: 2000, Member of Technical Staff, IBM Transarc Lab, Pittsburgh, Pennsylvania

Jinghong Chen

Thesis Adviser: John Lopez

Thesis Title: Hydrodynamic Coupling Between a Viscoelastic Gas/Liquid Interface and a Swirling Vortex Flow

Degree Year: 1998

Career Bio: 1997, COMSAT Laboratories, Technical Staff

Thesis Adviser: Anatole Katok

Thesis Title: Normal Forms of Extensions

Degree Year: 1998

Career Bio: 1998-2001 Postdoc, Tufts University
2002- Teaching Professor, Pennsylvania State University

Education: Ph.D., The Pennsylvania State University, 1998

Research Interests: Dynamical Systems

Garth Payne

Thesis Adviser: George E. Andrews

Thesis Title: Multivariate Hypergeometric Terms

Degree Year: 1998

Career Bio: 1997, self-employed

Feng Wang

Thesis Adviser: Jinchao Xu

Thesis Title: Efficient Block Iterative Methods for Convection-Dominated Problems and Multigrid for Long-Thin Elements

Degree Year: 1998

Career Bio: 1997, University of California, Irvine, Visiting Assistant Professor

Greg Bloy

Thesis Adviser: Leonid Vaserstein

Thesis Title: Waring's Problem for Forms over Fields of Nonzero Characteristic

Degree Year: 1997

Career Bio: 2000, The Harbachow Companies, Financial Analyst
2006, Aerospace Research Center, Washington DC

A. James Humphreys

Thesis Adviser: Stephen G. Simpson

Thesis Title: On the Necessary Use of Strong Set Existence Axioms in Analysis and Functional Analysis

Degree Year: 1997

Career Bio: 2005, Adjunct Professor, Seattle University, Washington

Alexey Kononenko

Thesis Adviser: Anatole Katok

Thesis Title: Duality Method for Cohomologies of Dynamical Systems: Differential and Cohomological Rigidity of Lattice Actions

Degree Year: 1997

Career Bio: 1997, Lecturer, University of Pennsylvania
2006, Renaissance Technologies, New York

Woo Lee

Thesis Adviser: Edward Formanek

Thesis Title: Representations of the Braid Group B4

Degree Year: 1997

Career Bio: 1997, Seoul National University, South Korea, Research Associate
2002, Kwangju University, South Korea, Assistant Professor

Liviu Suciu

Thesis Adviser: Adrian Ocneanu

Thesis Title: The SU(3) Wire Model

Degree Year: 1997

Career Bio: 1997, D. E. Shaw Company, New York, Quantitative Associate

Mohammad Abdulrahim

Thesis Adviser: Edward Formanek

Thesis Title: The Gassner Representation of the Pure Braid Group

Degree Year: 1996

Career Bio: 1996, Instructor, Mathematics, Penn State Altoona
2002, Beirut Arab University, Lebanon, Assistant Professor

Thesis Adviser: Yakov Pesin

Thesis Title: A Non-Additive Thermodynamic Formalism and Applications to Dimension Theory of Hyperbolic Dynamical Systems

Degree Year: 1996

Career Bio: Professor, Mathematics, Instituto Superior Tecnico, Lisbon, Portugal

Alexander Borisov

Thesis Adviser: Yuri Zarhin

Thesis Title: Boundedness Problems for Fano Varieties with Singularities

Degree Year: 1996

Career Bio: 1996, University of Georgia, Assistant Professor
1997, Penn State University, Instructor
1999, Visiting Assistant Professor, Washington University of St. Louis, Missouri
2000-2005, Visiting Assistant Professor, Mathematics, Penn State
2006, Tenure-track Assistant Professor, Mathematics, University of Pittsburgh, Pennsylvania

Mihai Caragiu

Thesis Adviser: Leonid Vaserstein

Thesis Title: Patterns, Codes and Quasi-Randomness

Degree Year: 1996

Career Bio: Associate Professor, Mathematics, Ohio Northern University

Thesis Adviser: Nigel Higson

Thesis Title: The von Neumann Algebras Associated to Various Geometric Structures

Degree Year: 1996

Career Bio: Associate Professor (with tenure), Grand Valley State University, Michigan

Arup Mukherjee

Thesis Adviser: Douglas N. Arnold

Thesis Title: An Adaptive Finite Element Code for Elliptic Boundary Value Problems in Three Dimensions with Applications in Numerical Relativity

Degree Year: 1996

Career Bio: 1996, Three-year Assistant Professor, Rutgers University, New Jersey
1999 - current, Montclair State University, Assistant Professor

Thesis Adviser: M. Carme Calderer

Thesis Title: Flow Phenomena of Nematic Liquid Crystals

Degree Year: 1996

Career Bio: 1996, Penn State Worthington-Scranton, Assistant Professor, currently Associate Professor

Asya Semenovich

Thesis Adviser: Leonid Vaserstein

Thesis Title: Particle Systems and Generalized Billiards

Degree Year: 1996

Career Bio: 1996, Micro Strategy, Inc., Associate Consultant

Amin Tanumihardjo

Thesis Adviser: Donald James

Thesis Title: Primitive Representations of Hermitian Forms

Degree Year: 1996

Career Bio: 1996-98, Penn State, Instructor
1998-99, Secretary of Department, Informatics, Pelita University, Indonesia
2002, Assistant Professot, Department of Basic Sciences, Philadelphia University, Jordan

Ethel Wheland

Thesis Adviser: Leonid Vaserstein

Thesis Title: Matrix Factorization

Degree Year: 1996

Career Bio: Tenured Associate Professor, Mathematics, University of Akron, Ohio

Qijing Yue

Thesis Adviser: Simon Tavener

Thesis Title: The Motion of a Rod in a Rotating Stokes Flow

Degree Year: 1996

Career Bio: 1996, Electronic Digital Systems, Engineer

Thesis Adviser: Leonid Vaserstein

Thesis Title: New Modeling Principles for Games and Social Dilemma Example

Degree Year: 1995

Career Bio: 1995 onward, Applied Research Laboratory, Penn State, Research Associate

Changyi Chen

Thesis Adviser: Douglas N. Arnold

Thesis Title: Asymptotic Convergence Rates for the Kirchoff Plate Model

Degree Year: 1995

Career Bio: 1996, Systems Engineer, (Bellcore) Lucent Technologies, New Jersey

Thesis Adviser: Nigel Higson

Thesis Title: Relative e-Theory Quantization and Index Theory

Degree Year: 1995

Career Bio: 1995, Assistant Professor, Purdue University, Indiana
1996, John Wesley Young Research Instructor, Dartmouth College, New Hampshire
Associate Professor (with tenure), University of Hawaii

Hein Hundal

Thesis Adviser: Frank Deutsch

Thesis Title: Generalizations of Dykstra's Algorithm

Degree Year: 1995

Career Bio: 1995, HRB Systems, Senior Mathematician
1996 onward, Core Capital Management

Yi Li

Thesis Adviser: Jerry Bona

Thesis Title: Uniqueness and Analyticity of Solitary Waves

Degree Year: 1995

Career Bio: 1995, University of Minnesota, Postdoc

Laihan Luo

Thesis Adviser: Jerry Bona

Thesis Title: Initial- and Boundary-Value Problems for some Nonlinear Partial Differential Equations

Degree Year: 1995

Career Bio: 1995, Loughborough University of Technology, England, Research Associate

Jiang Miaohua

Thesis Adviser: Yakov Pesin

Thesis Title: Ergodic Properties of Coupled Map Lattices of Hyperbolic Type

Degree Year: 1995

Career Bio: 1996, Georgia Institute of Technology, Postdoc
1997, University of Minnesota, Postdoc
1998, Assistant Professor, Mathematics, Wake Forest University, Winston-Salem, NC
2004, Associate Professor, Mathematics, Wake Forest University, Winston-Salem, NC

Thesis Adviser: Anatole Katok

Thesis Title: Rigidity of Partially Hyperbolic Actions

Degree Year: 1995

Career Bio: 1995, Indiana University, Visiting Professor
1997, Penn State, Instructor
1998, Notre Dame University, Visiting Assistant Professor
2005, Associate Professor, Mathematics, West Chester University

Thesis Adviser: Adrian Ocneanu

Thesis Title: Discrete Regular Subalgebras of Semifinite von Neumann Algebras

Degree Year: 1995

Career Bio: 2000 onward, Professor, Mathematics, Universidade de Sao Paulo, Brazil

Hwai-Ling Shan

Thesis Adviser: W. Dale Brownawell

Thesis Title: Denominators in Hilbert's Nullstellensatz

Degree Year: 1995

Thesis Title: Cohomology of Dynamical Systems

Degree Year: 1995

Career Bio: 1995-1999, Instructor, Mathematics, Princeton University, New Jersey
1999-2003, Assistant Professor, Mathematics, University of Houston, Texas
2003, Associate Professor, Mathematics, University of Houston, Texas

Thesis Title: Asymptotic Morphisms of C*-Algebras and Index Theory

Degree Year: 1995

Career Bio: Associate Professor, Mathematics, Dartmouth College, New Hampshire

Thesis Adviser: Thomas Jech

Thesis Title: Some Results in Set Theory and Boolean Algebras

Degree Year: 1995

Career Bio: 1995-1996, Postdoc MSRI, California
1996-1998, Bateman Instructor, Cal Tech, California
1998-2000, John Wesley Young Research Instructor, Dartmouth College, New Hampshire
2000 onward, Mathematics, University of Florida

Jun Zhong

Thesis Adviser: Frank Deutsch

Thesis Title: Approximation with Inequality Constraints

Degree Year: 1995

Career Bio: 1995, CVC International, Research Scientist
2010, Vice President at Wells Fargo Bank

Qing Chang

Thesis Adviser: Edward Formanek

Thesis Title: Automorphisms of Generic 2 x 2 Matrices

Degree Year: 1994

Career Bio: Ridgway, Pennsylvania, self-employed

Thesis Adviser: Anatole Katok

Thesis Title: Classical and Quantum Equidistribution: an (Easy) Example

Degree Year: 1994

Career Bio: Professor, Mathematics, Universita di Bologna, Italy

Sophie Frisch

Thesis Adviser: Gary Mullen

Thesis Title: Integer-Valued and Congurence-Preserving Polynomials on Krull-Rings

Degree Year: 1994

Career Bio: 1995, Technische Universitaet Graz, Austria, Assistant Professor

Kalin Godev

Thesis Adviser: M. Carme Calderer

Thesis Title: Mathematical Models of Liquid Crystals with Variable Degree of Orientation

Degree Year: 1994

Career Bio: Vice President, Wachovia Securities

Oksana Lassowsky

Thesis Adviser: Robert Hunter

Thesis Title: Semitopological Monoids on Certain One-Dimensional Continua

Degree Year: 1994

Career Bio: 1995, Albright College, Assistant Professor
1999, St. John's College

Xiaobo Liu

Thesis Adviser: Douglas N. Arnold

Thesis Title: Interior Error Estimates for some Nonconforming and Mixed Finite Element Methods

Degree Year: 1994

Career Bio: 1994-1996, Clarkson University, Assistant Professor
1996, Parametric Technology Corporation, Software Engineer

Andrew McInerney

Thesis Adviser: Augustin Banyaga

Thesis Title: On the Group of Contact Diffeomorphisms

Degree Year: 1994

Career Bio: Assistant Professor, City College, CUNY, New York
currently, Bronx Community College

Thesis Adviser: Gary Mullen

Thesis Title: Equiorthogonal Frequency Hypercubes

Degree Year: 1994

Career Bio: 2006, University of Missouri-Rolla, Associate Professor

Jinshui (Jason) Qin

Thesis Adviser: Douglas N. Arnold

Thesis Title: On the Convergence at some Low Order Mixed Finite Elements for Incompressible Fluids

Degree Year: 1994

Career Bio: 1994-1996, University of Tennessee, Tenure-track Assistant Professor
1996-2000 telecommunications industry, consultant
2000, America Online, Senior Engineer

Todd Simpson

Thesis Adviser: David Bressoud

Thesis Title: Combinatorial Proofs and Generalizations of Weyl's Denominator

Degree Year: 1994

Career Bio: 1994, HRB Singer (on contract to NSA)

Jiri Witzany

Thesis Adviser: Thomas Jech

Thesis Title: Reflection of Stationary Sets and the Mitchell Ordering of Normal Measures

Degree Year: 1994

Career Bio: 1994, University of California at Los Angeles, Mathematics, Assistant Professor
currently Komercni banka, Praha

Frank Arlinghaus

Thesis Adviser: Leonid Vaserstein

Thesis Title: Involutions in Classical Groups and Related Topics

Degree Year: 1993

Career Bio: 1992, Youngstown State University, Assistant Professor
1996-1999 Tenured Associate Professor
1998-present, U.S. Department of Defense

Janet Bouwsma

Thesis Adviser: Gerard Lallement

Thesis Title: Semigroups presented by a single relation

Degree Year: 1993

Peter Chaiyasena

Thesis Adviser: Augustin Banyaga

Thesis Title: Radar and Sonar Ambiguity Functions and Group Theory

Degree Year: 1993

Career Bio: 1993, University of Bangkok, Thailand, Assistant Professor

Alouf Jirari

Thesis Adviser: Allan Krall

Thesis Title: Second-Order Sturm-Louiville Difference Equations and Orthogonal Polynomials

Degree Year: 1993

Career Bio: 1993, Rabat and Casablanca, Morocco, Associate Professor

Jose Linares

Thesis Adviser: Gustavo Ponce

Thesis Title: On Nonlinear Dispersive Equations

Degree Year: 1993

Career Bio: 1993, Institute for Pure & Applied Mathematics, Brazil, Associate Professor

Alberto Marcone

Thesis Adviser: Stephen G. Simpson

Thesis Title: Foundations of BQO Theory and Subsystems of Second Order Arithmetic

Degree Year: 1993

Career Bio: 1992-1996, Assistant Professor, Mathematics, University of Torino, Italy
1996 onward, Associate Professor, Mathematics, University of Udine, Italy

Shubha Rajopadhye

Thesis Adviser: Jerry Bona

Thesis Title: Propagation of Bores

Degree Year: 1993

Career Bio: 1993, University of California, Santa Cruz, Visiting Assistant Professor

Thesis Adviser: Jerry Bona

Thesis Title: Three-Dimensional Model for the Formation and Evolution of Sedimentary Structures on the Continental Shelf

Degree Year: 1993

Career Bio: 1993 onward, Associate Professor, Mathematics, University of Arizona,

Chaz Schlindwein

Thesis Adviser: Thomas Jech

Thesis Title: Consistency of Suslin's Hypothesis, a Non-Special Aronszajn Tree, and GCH

Degree Year: 1993

Career Bio: 1993, University of Nevada, Las Vegas, Mathematics, Visiting Assistant Professor
currently Associate Professor, Lander University, Greenwood, SC

Carlos Torre

Thesis Adviser: Augustin Banyaga

Thesis Title: On a Theorem of Kirillov

Degree Year: 1993

Career Bio: 1993, Universidad de Costa Rica

El-Hasan Youssfi

Thesis Adviser: Kyong T. Hahn

Thesis Title: Geometric Function Theory of Several Variables Operator Theory in k-Spaces and the Indefinite Moment Problem

Degree Year: 1993

Career Bio: 1993, Universite de Provence, France, Assistant Professor

Kuo-Jye Chen

Thesis Adviser: George E. Andrews

Thesis Title: An Asymptotic Formula in Partition Theory

Degree Year: 1992

Career Bio: 1992, Changhua University of Education, Taiwan, Assistant Professor

Christina Draghicescu

Thesis Adviser: L. Ridgway Scott

Thesis Title: Efficient Algorithms for Particle Methods

Degree Year: 1992

Career Bio: 1992, University of Houston, Texas

Thesis Adviser: Gerard Lallement

Thesis Title: Semigroups of Binary Relations

Degree Year: 1992

Career Bio: Professor, Mathematics, University of Mary Washington

Mitsuma Kunio

Thesis Adviser: Robert Hunter

Thesis Title: Profinite Semigroups and Related Topics

Degree Year: 1992

Career Bio: Associate Professor, Kutztown University of Pennsylvania

Sizwe Mabizela

Thesis Adviser: Frank Deutsch

Thesis Title: Parametric Approximation

Degree Year: 1992

Career Bio: 2004, Professor and Chairman of the Department of Mathematics, Rhodes University, South Africa

Thesis Adviser: Jean-Luc Brylinski

Thesis Title: Integrability of the Analogues of Conformal and Riemannian Structures on the Classical Superspaces

Degree Year: 1992

Career Bio: 1992, Michigan State University, Visiting Resident Instructor
2006, Assistant Professor, Mathematics, University of texax Pan American, Edinburg, TX

Jos Felipe Linares Ramirez

Thesis Adviser: Gustavo Ponce and Jerry Bona

Thesis Title: On Nonlinear Dispersive Equations

Degree Year: 1992

Career Bio: Professor, IMPA, Rio de Janeiro, Brazil

Philippe Rukimbira

Thesis Adviser: Augustin Banyaga

Thesis Title: Some Properties of Almost Contact Flows

Degree Year: 1991

Career Bio: Professor, Mathematics, Florida International University

J. Plinio O. Santos

Thesis Adviser: George Andrews

Thesis Title: Computer Algebra and Identities of the Rogers-Ramanujan Type

Degree Year: 1991

Career Bio: Depto. de Matemtica Aplicada, Universidade Estadual de Campinas

Wenzhi Sun

Thesis Adviser: Thomas Jech

Thesis Title: Stationary Cardinals

Degree Year: 1991

Career Bio: Salem College

Wun-Seng Chou

Thesis Adviser: Gary Mullen

Thesis Title: Permutation Polynomials on Finite Fields and their Combinatorial Applications

Degree Year: 1990

Career Bio: 1990, Academia Sinica, Taiwan

Seon Ae Chun

Thesis Adviser: David Sibley

Thesis Title: On the Theory of Blocks with Modules

Degree Year: 1990

Career Bio: 1990, Penn State Worthington-Scranton

Carsten Hansen

Thesis Adviser: David Sibley

Thesis Title: The Jacobson Radical of Certain Group Rings

Degree Year: 1990

Career Bio: 1990, Randolph-Macon Women's College

Ajchara Harnchoowang

Thesis Adviser: Wen-Ching Winnie Li

Thesis Title: On the L-Sylow Subgroups of the Ideal Class Groups Modulo F

Degree Year: 1990

Career Bio: Professor, Chulalongkorn University, Bangkok, Thailand

Thomasz Weiss

Thesis Adviser: Thomas Jech

Thesis Title: Martin's Axiom for sigma-Centered Partial Orders and Some Properties of Special Subsets of the Set of Real Numbers

Degree Year: 1990

Career Bio: WSRP, Siedlce, Poland

Pei-Yuan Yan

Thesis Adviser: Roger Ware

Thesis Title: Lower Bound Techniques in Parallel Computation

Degree Year: 1990

Career Bio: 1990, Lycoming College

Konstantinos Chatzikyriakou

Thesis Adviser: Stephen G. Simpson

Thesis Title: Commutative Algebra in Subsystems of Second Order Arithmetic

Degree Year: 1989

Career Bio: Lecturer, Mathematics, University of Thessaly, Greece

Matthew Coleman

Thesis Adviser: Goong Chen

Thesis Title: Approximating the Vibration Frequencies of a Homogeneous Isotropic Rectangular Thin Plate, Using a Legendre Spectral Method

Degree Year: 1989

Career Bio: 1989, Tenure-track, Mathematics, Fairfield University, Connecticut

Qi Feng

Thesis Adviser: Thomas Jech

Thesis Title: A Hierarchy of Ramsey Cardinals

Degree Year: 1989

Career Bio: Professor of Mathematics, Academia Sinica, Beijing, China, and National University of Singapore

Thesis Adviser: William Hager

Thesis Title: N-Step Quadratic Convergence in the Conjugate Gradient Method

Degree Year: 1989

Career Bio: Associate Dean for Graduate Studies and Professor of Mathematics, Appalachian State University, North Carolina

Hee-Jung Lee

Thesis Adviser: William Waterhouse

Thesis Title: Maximal Orders in Non-Associative Quaternion Algebras

Degree Year: 1989

Career Bio: 1990, Ehwa Women's University, South Korea
2006 onward, Matheamatics, Kangnam University, Yong-In, South Korea

Serge Parmentier

Thesis Adviser: Luen-Chau Li

Thesis Title: Nonlinear Poisson Structures and r-Matrices in the Theory of Classical Integrable Systems

Degree Year: 1989

Career Bio: 1990-1993, Postdoc, Max-Planck-Institut fur Mathematik, Bonn, Germany
1993 onward, Maitre de Conferences, Universite Claude Bernard, Lyon I, France

Carl Rupert

Thesis Adviser: Gerard Lallement

Thesis Title: Certain Rational Sets in Formal Language Theory

Degree Year: 1989

Mutsumi Saito

Thesis Adviser: Jean-Luc Brylinski

Thesis Title: A Localization Theorem for D-Modules

Degree Year: 1989

Career Bio: 1989, Mathematics, Tohoku University, Japan

Gunnar Stefansson

Thesis Adviser: Robert Huff

Thesis Title: Pettis Integrability of Vector-Valued Functions

Degree Year: 1989

Stephan Suchower

Thesis Adviser: Gary Mullen

Thesis Title: Subfield Permutation Polynomials in Finite Fields and Combinatorial Applications

Degree Year: 1989

Career Bio: 1989, Wagner Associates

Thesis Adviser: L. Ridgway Scott

Thesis Title: Multi-Level Iterative Techniques

Degree Year: 1989

Career Bio: Associate Professor, Mathematics, University of Delaware

Joseph Conrad

Thesis Adviser: Richard Herman

Thesis Title: On Antiautomorphisms of Uniformly Hyperfinite C*-algebras

Degree Year: 1988

Career Bio: 1988, Instructor, Mathematics, Penn State Altoona

Daniel Davenport

Thesis Adviser: Gerard Lallement

Thesis Title: Varieties of Power Commutative Semigroups and their Rational Languages

Degree Year: 1988

Career Bio: 1998, Applied Research Laboratory, Penn State

Thesis Adviser: Stephen G. Simpson

Thesis Title: Polynomial Time Computable Arithmetic and Conservative Extensions

Degree Year: 1988

Career Bio: Professor, Mathematics, University of Lisbon, Portugal

Thesis Adviser: Stephen G. Simpson

Thesis Title: Combinatorics in Subsystems of Second Order Arithmetic

Degree Year: 1988

Career Bio: Professor, Mathematics, Appalachian State University, North Carolina

Phan Hung Loi

Thesis Adviser: Richard Herman

Thesis Title: On the Theory of Index and Type III Factors

Degree Year: 1988

Sung Ho Park

Thesis Adviser: Frank Deutsch

Thesis Title: Lipschitz Continuous Metric Projections and Selections

Degree Year: 1988

Faraj Shieban

Thesis Adviser: Gerard Lallement

Thesis Title: Categories and Semigroupoids

Degree Year: 1988

Scott Stevens

Thesis Adviser: George E. Andrews

Thesis Title: Group-Action Graphs and Ramsey Graph Theory: Investigating the Ramsey Numbers R(K 1, n, K k, m) and R(K 1, n B k, m)

Degree Year: 1988

Career Bio: 1988, IDS Department, James Madison University, Virginia

Khalid Syed

Thesis Adviser: David Sibley

Thesis Title: M-static Modules

Degree Year: 1988

Han-Kun Wang

Thesis Adviser: Goong Chen

Thesis Title: Study of Stabilization and Energy Dissipation for Second Order Vibrating Systems

Degree Year: 1988

Career Bio: 1988, Assistant Professor, Mathematics, Wichita State University, Kansas

Connie Yu

Thesis Adviser: Stephen G. Simpson

Thesis Title: Measure Theory in Weak Subsystems of Second Order Arithmetic

Degree Year: 1988

Career Bio: Professor, Computer Science, New Jersey City University

Douglas K. Brown

Thesis Adviser: Stephen G. Simpson

Thesis Title: Functional Analysis in Weak Subsystems of Second Order Arithmetic

Degree Year: 1987

Career Bio: 1985-2004, Professor, Mathematics, Penn State Altoona
2004 onward, Professor, Mathematics, Livingstone College, North Carolina

Daniel E. Otero

Thesis Adviser: Leonid Vaserstein

Thesis Title: Extraction of mth Roots in Matrix Rings over Fields

Degree Year: 1987

Career Bio: 1986, Assistant Professor, Mathematics, Syracuse University, New York
Xavier University, Cincinnati, Ohio

Thesis Adviser: Wen-Ching Winnie Li

Thesis Title: On Sylow 2-Subgroups of Class Groups of Quadratic and Biquadratic Fields

Degree Year: 1987

Career Bio: Professor, Mathematics, Lock Haven University, Pennsylvania

Jian-Xin Zhou

Thesis Adviser: Goong Chen

Degree Year: 1987

Career Bio: Professor, Mathematics, Texas A&M

Francis G. Garvan

Thesis Adviser: George E. Andrews

Thesis Title: Generalizations of Dyson's Rank

Degree Year: 1986

Career Bio: Mathematics, University of Florida

Todd Schneider

Thesis Adviser: Richard Mansfield

Thesis Title: On Vaught's Conjecture and Theories of Order

Degree Year: 1986

Thesis Adviser: Steven Krantz

Thesis Title: Some Consequences of the Boundary Behavior of the Caratheodory and Kobayashi Metrics and Applications to Normal Holomorphic Functions

Degree Year: 1985

Career Bio: Associate Professor, Florida International University, Miami, FL

Carlos S. Alves

Thesis Adviser: Thomas Jech

Thesis Title: Partitions of Finite Substructures

Degree Year: 1985

Jiin-Chu Chen

Thesis Adviser: Wen-Ching Winnie Li

Thesis Title: On a Conjecture of Lovasz

Degree Year: 1985

Career Bio: General Motors

Michael Dutko

Thesis Adviser: Leonid Vaserstein

Thesis Title: Limit Theorems for Infinite Urn Models in Probability Theory

Degree Year: 1985

Career Bio: 1992 onward, tenured, University of Scranton
2003, died

Louis W. Kolitsch

Thesis Adviser: George Andrews

Thesis Title: Some Analytic and Arithemtic Properties of Generalized Frobenius Partitions

Degree Year: 1985

Career Bio: Professor, Mathematics, University of Tennessee at Martin

Stephen H. Brackin

Thesis Adviser: Stephen G. Simpson

Thesis Title: On Ramsey-type Theorems and their Provability in Weak Formal Systems

Degree Year: 1984

Career Bio: Consultant in formal methods, secure communication, etc.

Mark Stephen Legrand

Thesis Adviser: Stephen G. Simpson

Thesis Title: Coanalytic Sets in the Absence of Analytic Determinacy

Degree Year: 1984

Career Bio: 1987, Assistant Professor, Mathematics, Auburn University, Alabama

Clifford Reiter

Thesis Adviser: Wen-Ching Winnie Li

Thesis Title: Large Fundamental Units and the Monomial Norm Equation

Degree Year: 1984

Career Bio: Professor, Lafayette College, Pennsylvania

Thesis Adviser: T. D. Parsons

Thesis Title: Graph Theory

Degree Year: 1983

Career Bio: Associate Professor, Mathematical Sciences Department
King Fahd University of Petroleum and minerals
Dhahran 31261, Saudi Arabia

Thesis Adviser: Robert E. Huff

Thesis Title: Duals of Separable Banach Spaces

Degree Year: 1983

Career Bio: Associate Professor, University of North Texas

Thesis Adviser: Gerard Lallement

Thesis Title: Initial Segment Preserving Functions and Applications to Wreath Product Coverings Involving Syntatic Transformation Monoids

Degree Year: 1983

Career Bio: Associate Professor, Mathematics, St. John's University
Collegeville, MN

Thesis Adviser: Grard Lallement

Thesis Title: Some Algorithms Related to the Star Operation Applied to Finite and Rational Languages

Degree Year: 1982

Career Bio: Centro de Matemtica,
Departamento de Matemtica Pura,
Professor, Faculdade de Cincias,
Universidade do Porto, Portugal

Peter Pappas

Thesis Adviser: Stephen G. Simpson

Thesis Title: The Model Theoretic Structure of Group Rings

Degree Year: 1982

Career Bio: Professor, Mathematics, Vassar College, New York

Ricardo Estrada

Ph.D. Graduate

Thesis Adviser: Ram P. Kanwal

Thesis Title: Essays in the Theory and Applications of Generalized Functions

Degree Year: 1981

Career Bio: Escuela de Matemática, Universidad de Costa Rica, Catedrático, until 2002; Department of Mathematics, Louisiana State University, Professor, from 2002.

Patrick Halpin

Thesis Adviser: Edward Formanek

Thesis Title: Polynomial Identities and Weak Identities of Matrices

Degree Year: 1981

Career Bio: Professor and Chair, Mathematics, SUNY, Oswego

Thesis Adviser: Allan Krall

Thesis Title: Nonclassical Orthogonal Polynomials and Differential Equations

Degree Year: 1981

Career Bio: Professor, Department of Mathematics and Statistics, Utah State University

Blair K. Spearman

Thesis Adviser: William Waterhouse

Thesis Title: On the Four Part of the Class Group of Quadratic Fields

Degree Year: 1981

Career Bio: Professor, Mathematics, University of British Columbia Okanagan, Canada

Thesis Adviser: Dale Brownawell

Thesis Title: An Elliptic Analogue of the Gelfond-Feldman Measure of Algebraic Independence

Degree Year: 1981

Career Bio: Associate Professor, Mathematics, University of Colorado, Boulder

Thesis Adviser: George Andrews

Thesis Title: Developments in the Theory of Partitions

Degree Year: 1980

Career Bio: Senior Lecturer, School of Mathematics, University of New South Wales

Rick L. Smith

Thesis Adviser: Stephen G. Simpson

Thesis Title: Theory of Profinite Groups with Effective Presentations

Degree Year: 1980

Career Bio: Associate Professor, Mathematics, University of Florida

Thesis Adviser: Stephen G. Simpson

Thesis Title: Kleene Recursion over the Continuum

Degree Year: 1980

Career Bio: Professor, Mathematics, Western Illinois University

Thesis Adviser: George Andrews

Thesis Title: Generalizations of Basic Hypergeometric Series

Degree Year: 1979

Career Bio: Professor, Arizona State University, Tempe, AZ

Robert Mignone

Thesis Adviser: Thomas Jech

Thesis Title: Ultrafilters Resulting from the Axiom of Determinatene

Degree Year: 1979

Career Bio: Professor and Chair, College of Charleston, SC

James Gerald Huard

Thesis Adviser: Sarvadaman D. S. Chowla

Thesis Title: Index Forms and Power Bases for Cyclic Cubic Fields

Degree Year: 1978

Thesis Adviser: Raymond Ayoub

Thesis Title: Some Asymptotic Formulas in Group Theory

Degree Year: 1977

Career Bio: Professor of Mathematics, West Virginia University

Robert Douglas Morton

Thesis Adviser: Allan Krall

Thesis Title: Polynomials Orthogonal with Respect to a Weight Distribution

Degree Year: 1976

Margaret James Morton

Thesis Adviser: Raymond Ayoub

Thesis Title: On Quaternion Polynomial Rings

Degree Year: 1975

James J. Reynolds

Thesis Adviser: Christine Ayoub

Thesis Title: Semisimplicity and Primitivity in Group Rings

Degree Year: 1975

Jim Wilson

Thesis Adviser: Ram Kanwal

Thesis Title: A Model of the Relativistic Dirac Electron

Degree Year: 1974

Career Bio: Jove Sciences Inc.
The AquaQuIPS Data Fusion Group

Thesis Adviser: Harlan Stevens

Thesis Title: A General Totient Function

Degree Year: 1973

Career Bio: 1973-1998, Vice President, Wagner Associates
1999 - present, Instructor, Mathematics, West Valley College, CA

Kathleen Joan Kemp

Thesis Adviser: Donald James

Thesis Title: The Action of the Orthogonal Group on Totally Isotropic Sublattices of a Unimodular Quadratic Lattice

Degree Year: 1973

John Benjamin Friedlander

Thesis Adviser: Sarvadaman D. S. Chowla

Thesis Title: The Distribution of Power Residues in Algebraic Number Fields

Degree Year: 1972

Career Bio: 1974-1976, Lecturer, MIT
1977, University Professor, Department of Computer and Mathematical Sciences, University of Toronto at Scarborough

Judith Querida Longyear

Thesis Adviser: Sarvadaman D. S. Chowla

Thesis Title: Tactical Configurations

Degree Year: 1972

Paul G. Hartung

Thesis Adviser: Sarvadaman D. S. Chowla

Thesis Title: Topics in Quadratic Forms

Degree Year: 1971

Dale Ziegler Kilhefner

Thesis Adviser: Donald James

Thesis Title: Integral Extensions of Isometries of Unimodular Hermitian Forms

Degree Year: 1971

Gerald A Bottorff

Thesis Adviser: Sarvadaman D. S. Chowla

Thesis Title: On Quaternary Quadratic Forms

Degree Year: 1970

Frank Chimentu

Thesis Adviser: Stanislaw Mrowka

Thesis Title: A Study of Convergence in the Power Set

Degree Year: 1970

Kandiah Thanigasalam

Thesis Adviser: Sarvadaman D. S. Chowla

Thesis Title: Some Results in the Additive Theory of Numbers

Degree Year: 1970

John Stanley Wasileski

Thesis Adviser: Orrin Frink, Jr.

Thesis Title: Compactifications

Degree Year: 1970

Career Bio: Associate Vice President for Information Technology, University of Memphis (retired)

Charles F. Fennemore

Thesis Adviser: Mario Petrich

Thesis Title: All Varieties of Bands

Degree Year: 1969

Stephen I. Gendler

Thesis Adviser: Sarvadaman D. S. Chowla

Thesis Title: On Hecke L-Series and Some Lattice Point Problems

Degree Year: 1969

Taeboo Kim

Thesis Adviser: Allan Krall

Thesis Title: Investigation of a Differential-Boundary Operator of the Second Order with an Integral Boundary Condition on a Semi-Axis

Degree Year: 1969

Franklin Calvin Kost

Thesis Adviser: Orrin Frink

Thesis Title: On Compactifications of Wallman Type

Degree Year: 1969

William George McArthur

Thesis Adviser: Orrin Frink

Thesis Title: The Hewitt Realcompactification of a Product of Two Spaces

Degree Year: 1969

Craig Robert Platt

Thesis Adviser: George Grtzer

Thesis Title: Iterated Limits of Universal Algebras

Degree Year: 1969

Robert M. Vancko

Thesis Adviser: George Grtzer

Degree Year: 1969

Thesis Adviser: Nathan Fine

Thesis Title: Automorphisms of Formal Puiseux Series

Degree Year: 1969

Career Bio: Professor, Washington State University

Morris Jack DeLeon

Thesis Adviser: Sarvadaman D. S. Chowla

Thesis Title: Pisot Sequences and Pisot-Vijayaraghavan Numbers

Degree Year: 1968

Philip A. Leonard

Thesis Adviser: Sarvadaman D. S. Chowla

Thesis Title: Irreducible Translates of Quartics in GF[q, x]

Degree Year: 1968

Career Bio: Professor emeritus, Mathematics, Arizona State University

Robert Bradley McNeill

Thesis Adviser: Allan Krall

Thesis Title: Differential Systems

Degree Year: 1968

Sahib Singh

Thesis Adviser: Sarvadaman D. S. Chowla

Thesis Title: Bounds of Power Residues in Arithmetic Progression

Degree Year: 1968

Anthony D'Aristotle

Thesis Adviser: Orrin Frink

Thesis Title: On Generalized Wallman Spaces

Degree Year: 1967

Thesis Adviser: thesis adviserGeorge Grtzer

Thesis Title: Multiplicity Type and Subalgebra Structure in Universal Algebra

Degree Year: 1967

Career Bio: Professor, Vanderbilt University

Albert Robert Stralka

Thesis Adviser: Lee Anderson

Thesis Title: The Green Equivalences and Homeomorphisms on Compact Semigroups

Degree Year: 1967

Career Bio: Professor, University of California, Riverside

Gnter Hermann Wenzel

Thesis Adviser: George Grtzer

Thesis Title: On Marczewski's Six-Tuple of Constants in Finite Universal Algebras

Degree Year: 1967

John Hawley Rowland

Thesis Adviser: Lowell Schoenfeld

Thesis Title: On the Location of the Deviation Points in Chebyshev Approximation by Polynomials

Degree Year: 1966

Richard Alo

Thesis Adviser: Orrin Frink

Thesis Title: Order Topologies

Degree Year: 1965

Robert Lamar Blefko

Thesis Adviser: Stanisł

Thesis Title: On E-Compact Spaces

Degree Year: 1965

Harvey Gerber

Thesis Adviser: William Howard

Degree Year: 1965

Anthony Hager

Thesis Adviser: Nathan Fine

Thesis Title: On the Walsh Functions

Degree Year: 1965

Career Bio: Professor emeritus, Wesleyan University

Thesis Adviser: Lee Anderson

Thesis Title: On Near-Rings and Near-Ring Modules

Degree Year: 1964

Career Bio: Professor, University of Kentucky

Alan Seymour Cover

Thesis Adviser: Josephine Mitchell

Thesis Title: Properties of Harmonic Functions in n ( n greater than two) Variables

Degree Year: 1964

Hilbert Levitz

Thesis Adviser: Haskell Curry and William Howard

Thesis Title: On the Ordinal Notation of Schutte and the Ordinal Diagrams of Takeuti

Degree Year: 1964

Erika Adrienne Mares

Thesis Adviser: Raymond Ayoub

Thesis Title: Semi-Perfect Modules

Degree Year: 1964

Francis Louis Sandomierski

Thesis Adviser: Lee Anderson

Thesis Title: Relative Injectivity and Projectivity

Degree Year: 1964

Career Bio: Professor emeritus, Kent State University

Sigmund Arnold Smith

Thesis Adviser: Raymond Ayoub

Thesis Title: Predictions of Achievement in Analytic Geometry and Calculus

Degree Year: 1964

Earl Ray Willard

Thesis Adviser: Raymond Ayoub

Thesis Title: Functors between Categories of Modules

Degree Year: 1964

H J Biesterfeldt

Thesis Adviser: I. M. Sheffer and H. L. Krall

Degree Year: 1963

Career Bio: South Dakota Tech, U.Wisconsin,
U. Mass, Southern Illinois U. and Drexel U.

Thesis Adviser: Josephine Mitchell

Thesis Title: Some Properties of Harmonic Functions Generated by the Bergmann-Whittaker Operator

Degree Year: 1963

Career Bio: Professor, University of North Carolina at Capel Hill

Bruce Lercher

Thesis Adviser: Haskell Curry

Thesis Title: Strong Reduction and Recursion in Combinatory Logic

Degree Year: 1963

Luis Elpidis Sanchis

Thesis Adviser: Haskell Curry

Thesis Title: Normal Combinations and the Theory of Types

Degree Year: 1963

James L. Sieber

Thesis Adviser: William Pervin

Thesis Title: Generalizations of Some Topological Notions to Symtopogenic Spaces

Degree Year: 1963

Career Bio: Professor emeritus of Matheamtics and Computer
Science, Shippensburg University, Shippensburg, PA 17257

Kenneth L. Loewen

Thesis Adviser: Haskell Curry

Thesis Title: A Study of Strong Reduction in Combinatory Logic

Degree Year: 1962

William Aaron Beyer

Thesis Adviser: Isador Sheffer and John Kinney

Thesis Title: Besicovitch Dimension of Level Sets

Degree Year: 1959

William Perry

Thesis Adviser: Isador Sheffer

Thesis Title: Mean Value Theorems for Solutions of Certain Partial Differential Equations

Degree Year: 1957

Career Bio: 9th Secretary of Defense
February 3, 1994 January 23, 1997

Edward Jack Cogan

Thesis Adviser: Haskell Curry

Thesis Title: A Formalization of the Theory of Sets from the Point of View of Combinatory Logic

Degree Year: 1955

Henry D. Friedman

Thesis Adviser: Orrin Frink

Thesis Title: Topologies on a Space of Continuous Functions

Degree Year: 1953