Ph.D. Graduates

Thesis Adviser: Federico Rodriguez Hertz

Thesis Title: Measurable Livšic Theorem For Expanding Maps of the Circle with an Indifferent Fixed Point

Degree Year: 2020

Thesis Adviser: Jinchao Xu

Degree Year: 2020

Thesis Adviser: Wenrui Hao

Degree Year: 2020

Thesis Adviser: Mihran Papikian

Thesis Title: Endomorphism rings of reductions of Drinfeld modules

Degree Year: 2020

Research Interests: Algebraic Number Theory

Thesis Adviser: Jack Huizenga

Thesis Title: Cohomology of General Sheaves in Moduli and Existence of Semistable Sheaves on del Pezzo Surfaces

Degree Year: 2020

Research Interests: Algebraic geometry

Thesis Adviser: Jan Reimann

Thesis Title: Algorithmic randomness and complexity for continuous measures

Degree Year: 2020

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

Thesis Adviser: Toan T. Nguyen

Thesis Title: The inviscid limit of the Navier-Stokes equations

Degree Year: 2020

Thesis Adviser: Nigel Higson

Thesis Title: Direct splitting method for the Baum-Connes conjecture and groups acting on CAT(0)-cubical spaces

Degree Year: 2020

Thesis Adviser: Anatole Katok and Svetlana Katok

Thesis Title: Slow entropy, Kakutani equivalence and parabolic flows

Degree Year: 2020

Education: B.S., Mathematics&B.S., Computer Science, Peking University, 2014

Job Description: Postdoc Fellow, Einstein Institute of Mathematics, The Hebrew University of Jerusalem

Research Interests: Dynamical systems, Ergodic theory, Slow entropy

Thesis Adviser: Chun Liu / Ludmil Zikatanov

Thesis Title: ENERGETIC VARIATIONAL APPROACH FOR GENERAL DIFFUSION WITH TEMPERATURE EFFECT

Degree Year: 2020

Thesis Adviser: Andrew Belmonte

Thesis Title: Topics in Learning and Information Dynamics in Game Theory

Degree Year: 2020

Thesis Adviser: Nigel Higson

Thesis Title: Equivariant Asymptotic Morphisms for the Symplectic Plane

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

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

Thesis Adviser: Ping Xu

Thesis Title: Symplectic Realizations of Non-Degenerate Poisson-Nijenhuis Manifolds

Degree Year: 2019

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: Alberto Bressan

Thesis Title: Debt Management Problems and Topics in Stackelberg Equilibrium

Degree Year: 2019

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: Dmitri Burago

Thesis Title: On two problems in analysis on manifolds

Degree Year: 2019

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: Robert Vaughan

Thesis Title: VALUE DISTRIBUTION OF AUTOMORPHIC L-FUNCTIONS

Degree Year: 2019

Thesis Adviser: Nigel Higson

Thesis Title: Asymptotically Contained Representations and the Spherical Plancherel Formula

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: Xiantao Li

Thesis Title: Model Reduction by Dirichlet-to-Neumann map for Molecular Dynamics and Quantum Mechanics

Degree Year: 2018

Education: B.S. in Information and Computational Science, Wuhan University, 2011

Research Interests: Computational Mathematics, Computational Materials.

Thesis Adviser: Ludmil Zikatanov

Thesis Title: Adaptive Aggregation and Signal Processing on Graphs

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: 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: 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: Manfred Denker

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

Degree Year: 2017

Research Interests: Probability

Thesis Adviser: Winnie Li

Degree Year: 2016

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: Victor Nistor and Anna Mazzucato

Degree Year: 2016

Research Interests: Option pricing

Thesis Adviser: Alberto Bressan

Degree Year: 2016

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

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

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

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

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

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

Thesis Adviser: Tim Reluga

Thesis Title: Control Problems in Infectious Disease Management

Degree Year: 2014

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

Thesis Adviser: Alberto Bressan

Thesis Title: Optimal bidding in a limit order book

Degree Year: 2013

Career Bio: Quantitative Researcher, J. P. Morgan

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

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

Thesis Adviser: Ping Xu

Thesis Title: Some problems in Poisson geometry

Degree Year: 2013

Career Bio: Postdoc, Wuhan University

Thesis Adviser: Stephen G. Simpson

Thesis Title: Partial randomness and Kolmogorov complexity

Degree Year: 2013

Career Bio: Associate, McKinsey and Company

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

Thesis Adviser: Qiang Du

Thesis Title: Nonlocal exterior calculus on Riemannian manifolds

Degree Year: 2013

Career Bio: Lecturer, Viet Nam National University

Thesis Adviser: Yuri Zarhin

Thesis Title: Asymptotic Mukai model of M6

Degree Year: 2013

Career Bio: Postdoc, Higher School of Economics, Moscow

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

Thesis Adviser: Stephen G. Simpson

Thesis Title: Computable aspects of measure theory

Degree Year: 2013

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

Thesis Adviser: Nigel Higson

Thesis Title: Geometric quantization, reduction and k-homology

Degree Year: 2013

Career Bio: Postdoc, University of Toronto

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

Thesis Adviser: Alberto Bressan

Thesis Title: Models of noncooperative games

Degree Year: 2013

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

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

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

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

Thesis Adviser: Mark Levi

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

Degree Year: 2012

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Thesis Adviser: Wen-Ching Winnie Li

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

Degree Year: 2011

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

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

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

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

Thesis Adviser: Victor Nistor and John Roe

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

Degree Year: 2011

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

Thesis Adviser: George Andrews

Thesis Title: Asymptotics of partition functions

Degree Year: 2011

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

Thesis Adviser: Alberto Bressan

Thesis Title: Mathematical Control and Dynamic Blocking Problems

Degree Year: 2011

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

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

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

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

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

Degree Year: 2010

Education: Ph.D. Penn State University, 2010

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

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

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

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

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

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.

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

Thesis Adviser: Wen_Ching Winnie Li

Thesis Title: Coding theory

Degree Year: 2010

Career Bio: Lecturer, Penn State University

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

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

Thesis Adviser: Nigel Higson

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

Degree Year: 2009

Career Bio: Assistant Professor, Nazareth College, NY

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

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

Thesis Adviser: Dmitri Burago

Thesis Title: On geodesics on compact Riemannian surfaces

Degree Year: 2009

Career Bio: University of Hong Kong, Hong Kong

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

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

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

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

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

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

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

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

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

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

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

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

Thesis Adviser: Jinchao Xu

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

Degree Year: 2008

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

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

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

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

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

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

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

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

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

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

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

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

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

Thesis Adviser: John Roe

Thesis Title: Coarse Geometry of Warped Cones

Degree Year: 2005

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

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

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

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

Thesis Adviser: Ping Xu

Thesis Title: Lie Algebroids and BV-Algebras

Degree Year: 2005

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

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

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

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

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

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

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

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

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.

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

Thesis Adviser: Arkady Tempelman

Thesis Title: On Hausdorff Dimension of Random Fractals

Degree Year: 2002

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

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

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

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

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

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

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

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

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

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

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

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

Thesis Adviser: Jinchao Xu

Thesis Title: Some New Multigrid Methods for Convection Diffusion Problems

Degree Year: 1999

Career Bio: 2000, Postdoc, Penn State University

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

Thesis Adviser: Boris Tsygan

Thesis Title: Homotopically Associative Structures on Hochschild and Cyclic Complexes

Degree Year: 1999

Career Bio: 1999, Nationwide Insurance, Actuary

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

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

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

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

Thesis Adviser: George E. Andrews

Thesis Title: Multivariate Hypergeometric Terms

Degree Year: 1998

Career Bio: 1997, self-employed

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

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

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

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

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

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

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

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

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

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

Thesis Adviser: Leonid Vaserstein

Thesis Title: Particle Systems and Generalized Billiards

Degree Year: 1996

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

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

Thesis Adviser: Leonid Vaserstein

Thesis Title: Matrix Factorization

Degree Year: 1996

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

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

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

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

Thesis Adviser: Jerry Bona

Thesis Title: Uniqueness and Analyticity of Solitary Waves

Degree Year: 1995

Career Bio: 1995, University of Minnesota, Postdoc

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

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

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

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

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

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

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

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

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

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

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

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)

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

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

Thesis Adviser: Gerard Lallement

Thesis Title: Semigroups presented by a single relation

Degree Year: 1993

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

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

Thesis Adviser: Gustavo Ponce

Thesis Title: On Nonlinear Dispersive Equations

Degree Year: 1993

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

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

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,

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

Thesis Adviser: Augustin Banyaga

Thesis Title: On a Theorem of Kirillov

Degree Year: 1993

Career Bio: 1993, Universidad de Costa Rica

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

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

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

Thesis Adviser: Robert Hunter

Thesis Title: Profinite Semigroups and Related Topics

Degree Year: 1992

Career Bio: Associate Professor, Kutztown University of Pennsylvania

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

Thesis Adviser: Gustavo Ponce and Jerry Bona

Thesis Title: On Nonlinear Dispersive Equations

Degree Year: 1992

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

Thesis Adviser: Augustin Banyaga

Thesis Title: Some Properties of Almost Contact Flows

Degree Year: 1991

Career Bio: Professor, Mathematics, Florida International University

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

Thesis Adviser: Thomas Jech

Thesis Title: Stationary Cardinals

Degree Year: 1991

Career Bio: Salem College

Thesis Adviser: Gary Mullen

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

Degree Year: 1990

Career Bio: 1990, Academia Sinica, Taiwan

Thesis Adviser: David Sibley

Thesis Title: On the Theory of Blocks with Modules

Degree Year: 1990

Career Bio: 1990, Penn State Worthington-Scranton

Thesis Adviser: David Sibley

Thesis Title: The Jacobson Radical of Certain Group Rings

Degree Year: 1990

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

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

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

Thesis Adviser: Roger Ware

Thesis Title: Lower Bound Techniques in Parallel Computation

Degree Year: 1990

Career Bio: 1990, Lycoming College

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

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

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

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

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

Thesis Adviser: Gerard Lallement

Thesis Title: Certain Rational Sets in Formal Language Theory

Degree Year: 1989

Thesis Adviser: Jean-Luc Brylinski

Thesis Title: A Localization Theorem for D-Modules

Degree Year: 1989

Career Bio: 1989, Mathematics, Tohoku University, Japan

Thesis Adviser: Robert Huff

Thesis Title: Pettis Integrability of Vector-Valued Functions

Degree Year: 1989

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

Thesis Adviser: Richard Herman

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

Degree Year: 1988

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

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

Thesis Adviser: Richard Herman

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

Degree Year: 1988

Thesis Adviser: Frank Deutsch

Thesis Title: Lipschitz Continuous Metric Projections and Selections

Degree Year: 1988

Thesis Adviser: Gerard Lallement

Thesis Title: Categories and Semigroupoids

Degree Year: 1988

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

Thesis Adviser: David Sibley

Thesis Title: M-static Modules

Degree Year: 1988

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

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

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

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

Thesis Adviser: Goong Chen

Degree Year: 1987

Career Bio: Professor, Mathematics, Texas A&M

Thesis Adviser: George E. Andrews

Thesis Title: Generalizations of Dyson's Rank

Degree Year: 1986

Career Bio: Mathematics, University of Florida

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

Thesis Adviser: Thomas Jech

Thesis Title: Partitions of Finite Substructures

Degree Year: 1985

Thesis Adviser: Wen-Ching Winnie Li

Thesis Title: On a Conjecture of Lovasz

Degree Year: 1985

Career Bio: General Motors

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

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

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.

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

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

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

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.

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

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

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

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

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

Thesis Adviser: Allan Krall

Thesis Title: Polynomials Orthogonal with Respect to a Weight Distribution

Degree Year: 1976

Thesis Adviser: Raymond Ayoub

Thesis Title: On Quaternion Polynomial Rings

Degree Year: 1975

Thesis Adviser: Christine Ayoub

Thesis Title: Semisimplicity and Primitivity in Group Rings

Degree Year: 1975

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

Thesis Adviser: Donald James

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

Degree Year: 1973

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

Thesis Adviser: Sarvadaman D. S. Chowla

Thesis Title: Tactical Configurations

Degree Year: 1972

Thesis Adviser: Sarvadaman D. S. Chowla

Thesis Title: Topics in Quadratic Forms

Degree Year: 1971

Thesis Adviser: Donald James

Thesis Title: Integral Extensions of Isometries of Unimodular Hermitian Forms

Degree Year: 1971

Thesis Adviser: Sarvadaman D. S. Chowla

Thesis Title: On Quaternary Quadratic Forms

Degree Year: 1970

Thesis Adviser: Stanislaw Mrowka

Thesis Title: A Study of Convergence in the Power Set

Degree Year: 1970

Thesis Adviser: Sarvadaman D. S. Chowla

Thesis Title: Some Results in the Additive Theory of Numbers

Degree Year: 1970

Thesis Adviser: Orrin Frink, Jr.

Thesis Title: Compactifications

Degree Year: 1970

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

Thesis Adviser: Mario Petrich

Thesis Title: All Varieties of Bands

Degree Year: 1969

Thesis Adviser: Sarvadaman D. S. Chowla

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

Degree Year: 1969

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

Thesis Adviser: Orrin Frink

Thesis Title: On Compactifications of Wallman Type

Degree Year: 1969

Thesis Adviser: Orrin Frink

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

Degree Year: 1969

Thesis Adviser: George Grtzer

Thesis Title: Iterated Limits of Universal Algebras

Degree Year: 1969

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

Thesis Adviser: Sarvadaman D. S. Chowla

Thesis Title: Pisot Sequences and Pisot-Vijayaraghavan Numbers

Degree Year: 1968

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

Thesis Adviser: Allan Krall

Thesis Title: Differential Systems

Degree Year: 1968

Thesis Adviser: Sarvadaman D. S. Chowla

Thesis Title: Bounds of Power Residues in Arithmetic Progression

Degree Year: 1968

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

Thesis Adviser: Lee Anderson

Thesis Title: The Green Equivalences and Homeomorphisms on Compact Semigroups

Degree Year: 1967

Career Bio: Professor, University of California, Riverside

Thesis Adviser: George Grtzer

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

Degree Year: 1967

Thesis Adviser: Lowell Schoenfeld

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

Degree Year: 1966

Thesis Adviser: Orrin Frink

Thesis Title: Order Topologies

Degree Year: 1965

Thesis Adviser: Stanisł

Thesis Title: On E-Compact Spaces

Degree Year: 1965

Thesis Adviser: William Howard

Degree Year: 1965

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

Thesis Adviser: Josephine Mitchell

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

Degree Year: 1964

Thesis Adviser: Haskell Curry and William Howard

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

Degree Year: 1964

Thesis Adviser: Raymond Ayoub

Thesis Title: Semi-Perfect Modules

Degree Year: 1964

Thesis Adviser: Lee Anderson

Thesis Title: Relative Injectivity and Projectivity

Degree Year: 1964

Career Bio: Professor emeritus, Kent State University

Thesis Adviser: Raymond Ayoub

Thesis Title: Predictions of Achievement in Analytic Geometry and Calculus

Degree Year: 1964

Thesis Adviser: Raymond Ayoub

Thesis Title: Functors between Categories of Modules

Degree Year: 1964

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

Thesis Adviser: Haskell Curry

Thesis Title: Strong Reduction and Recursion in Combinatory Logic

Degree Year: 1963

Thesis Adviser: Haskell Curry

Thesis Title: Normal Combinations and the Theory of Types

Degree Year: 1963

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

Thesis Adviser: Haskell Curry

Thesis Title: A Study of Strong Reduction in Combinatory Logic

Degree Year: 1962

Thesis Adviser: Isador Sheffer and John Kinney

Thesis Title: Besicovitch Dimension of Level Sets

Degree Year: 1959

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

Thesis Adviser: Haskell Curry

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

Degree Year: 1955

Thesis Adviser: Orrin Frink

Thesis Title: Topologies on a Space of Continuous Functions

Degree Year: 1953