# Full Department Directory

Thesis Adviser: Yakov Pesin

Amir Algom

S.Chowla Assistant Research Professor

217 McAllister Building

814 863 9052

Education: Ph.D., Indiana University, 1971

Research Interests: Operator algebras

George Andrews

Evan Pugh University Professor and Associate Head for Faculty Development

306 McAllister Building

814 865 6642

Education: Ph.D., University of Pennsylvania, 1964

Research Interests: Number theory, partitions

Dylan Attwell-Duval

Assistant Teaching Professor

007 McAllister Building

814 865 3285

Education: Ph.D., University of Wisconsin-Madison, 1958

Thesis Adviser: George Andrews / Ae Ja Yee

Augustin Banyaga

Distinguished Senior Scholar

303 McAllister Building

814 863 2736

Education: Ph.D., University of Geneva, 1976

Research Interests: Symplectic, contact geometry and topology

Thesis Adviser: Ludmil Zikatanov

Paul Baum

Evan Pugh University Professor

312 McAllister Building

814 863 0545

Education: Ph.D., Princeton University, 1963

Research Interests: Topology and operator algebras

Andrew Baxter

Associate Teaching Professor

006 McAllister Building

814 865 5002

Education: B.A. Millersville University (2005)
Ph. D. Rutgers University (2011)

Job Description: Associate Teaching Professor, Director of Pennsylvania Mathematics Initiative

Research Interests: Scholarship of teaching and learning,
Teacher preparation and professional development,
Enumerative combinatorics, permutation patterns

Andrew Belmonte

Professor

322 McAllister Building

814 865 2491

Education: Ph.D., Princeton University, 1994

Research Interests: Newtonian and non-Newtonian fluid dynamics, evolutionary games / game theory, mathematical modeling of cell biology.

Amine Benkiran

Assistant Teaching Professor

401 McAllister Building

814 863 9020

Leonid Berlyand

Professor

337 McAllister Building

814 863 9683

Education: Ph.D., Kharkov State University, 1984

Research Interests: PDEs, variational problems and applications to materials and biology

Kristin Berrigan

Administrative Support Assistant

107 McAllister Building

814 865 8462

Job Description: Serves as the liaison for short and long term, domestic and international, visitors. Responsible for coordinating travel, honorarium, and reimbursements, as well as tracking, processing visa applications, and managing the internal processes related to visitors. Reconcile purchasing cards and process faculty reimbursements, as needed. Serves as backup for the department Finance Assistant/Facilities Coordinator. Provides support for George Andrews.

Job Description: Assists the Director of Graduate Studies; assists with recruiting efforts; provides information and requirements regarding graduate program; assists with the scheduling of 500 - level and special topics courses; prepares and processes letters of recommendations for graduate students; processes key requests and maintains key files.

James Brannick

Associate Professor

311 McAllister Building

814 863 2737

Education: Ph.D., CU Boulder, 2005

Research Interests: Lattice field theory, numerical solutions to PDEs, multigrid methods

Alberto Bressan

Eberly Family Chair Professor

201 McAllister Building

Education: Ph.D., University of Colorado, 1982

Research Interests: Hyperbolic Conservation Laws, Nonlinear Wave Equations, PDE Models of Biological Growth, Optimal Control, Differential Games and Applications

Nathanial Brown

Professor

320 McAllister Building

Education: Ph.D., Purdue University, 1999

Research Interests: Operator algebras

Education: Ph.D., Cornell University, 1970

Research Interests: Number theory, transcendence

Job Description: Supervises the Undergraduate Office Staff; secretary to the Director of Undergraduate Studies; provides information and requirements regarding the Undergraduate Program; works closely with math majors; assists with recruiting efforts; distributes and collects grade sheets; updates Undergraduate Handbook; Undergraduate Baccalaureate Degree Programs Bulletin.

Education: Ph.D., St. Petersburg State University, 1992.

Research Interests: Geometry, Dynamical Systems, Algorithmic Complexity

Christopher Byrne

Associate Professor

006 McAllister Building

814 863 4343

Education: Ph.D., The Pennsylvania State University, 1995

Research Interests: Game Theory, Optimization, Mathematical Modeling

Wenwu Cao

Professor

339 McAllister Building

814 865 4101

Education: Ph.D., The Pennsylvania State University, 1987

Research Interests: Applied mathematics, computer simulations, materials sciences

Jeffrey Case

Associate Professor

221 McAllister Building

Education: Ph.D., University of California, Santa Barbara, 2010

Research Interests: Geometric analysis, conformal and CR geometry

Thesis Adviser: Federico Rodriguez Hertz

Thesis Adviser: Sergei Tabachnikov

Thesis Adviser: Mihran Papikian

Xiaohang Chen

Graduate Assistant

009 McAllister Building

Thesis Adviser: George Andrews

Education: Academic Name: Shane Chern

Research Interests: Number theory, Partitions, q-Series, Sieve methods.

Long-Qing Chen

Donald W. Hamer Professor of Materials Science and Engineering

N229 Millennium Science Complex

814 863 8101

Education: Ph.D., MIT, 1990

Research Interests: Mathematical Modeling of Phase Transitions and Microstructure Evolution;
Phase-field method;
Microelasticity, micromagnetics, and electrostatics

Thesis Adviser: Jinchao Xu

Thesis Adviser: Kirsten Eisentraeger

Thesis Adviser: Zhiren Wang and Federico Rodriguez Hertz

Jessica Conway

Assistant Professor

332 McAllister Building

814 863 9125

Education: Ph.D., Northwestern University, 2008

Thesis Adviser: Federico Rodriguez Hertz

Francesco Costanzo

Professor of Engineering Science and Mechanics and Mathematics

Office:N/A

814 863 2030

Thesis Adviser: Leonid Berlyand

Carina Curto

Professor

331 McAllister Building

814 863 9119

Education: A.B. Harvard University, 2000; Ph.D. Duke University, 2005

Research Interests: Theoretical and computational neuroscience.
Applications of algebra, geometry, and topology to neuroscience.

Frank Deutsch

Emeritus

406 McAllister Building

Education: Ph.D., Brown University, 1966

Research Interests: Approximation theory, functional analysis

Thesis Adviser: Robert Vaughan

Education: B.Sc in Mathematics, Nankai University, 2016.

Kirsten Eisentraeger

Professor

330 McAllister Building

814 863 4127

Education: Ph.D., University of California, Berkeley, 2003

Research Interests: Number theory, arithmetic geometry

Thesis Adviser: Yuriy Zarkhin

Yuanyuan Feng

S.Chowla Assistant Research Professor

205 McAllister Building

814 863 9035

Darla Forsha Simpson

Associate Teaching Professor

403 McAllister Building

814 865 3329

Michael Francis

Graduate Assistant

008 McAllister Building

Thesis Adviser: Nigel Higson

Sumita Garai

Graduate Assistant

020 McAllister Building

Thesis Adviser: Mihran Papikian

Research Interests: Algebraic Number Theory

Job Description: Research Engineer and caretaker of the William G. Pritchard Fluids Laboratory. Helps design and then builds apparati for research experiments, and educational and outreach demonstrations.

Stephanie Geyer

Administrative Support Assistant

107G McAllister Building

814 865 7520

Job Description: Assistant to the Department Head and Administrative Coordinator with various projects including all types of dossiers and sabbatical leaves; assists with award nominations; processes J1 and H1 visa paperwork for new hires; maintains some departmental informational lists; schedules appointments for the Department Head; assists the Director of the MASS Program; assists with recruiting efforts; provides information, procedures, and requirements for the MASS Program.

Thesis Adviser: Boris Kalinin

Education: Ph.D., UCLA, 1966

Research Interests: Potential theory, complex variables and differential geometry

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

James Hager

Teaching Professor and Assistant Director for Undergraduate Education

211 McAllister Building

814 441-4550

Education: Ph.D., Stanford University

Research Interests: Computational Complexity, Natural Language Processing, Automatic Theorem Proving and Program Synthesis,Formal Methods

Steven Hair

Associate Teaching Professor & Coordinator of Advising

104L McAllister Building

814 865 7528

Degree Year: 2010

Education: Ph.D. Penn State University, 2010

Ahmadreza Hajsaeedisadegh

Graduate Assistant

008 McAllister Building

Thesis Adviser: Nigel Higson

Education: B.Sc., Sharif University of Technology
M.Sc., Sharif University of Technology

Degree Year: 2005

Wenrui Hao

Assistant Professor

208 McAllister Building

814 865 3881

John Harlim

Professor

214 McAllister Building

814 863 9024

Education: Ph.D. University of Maryland, 2006.

Research Interests: Applied Mathematics: Filtering multiscale systems, stochastic parameterization, uncertainty quantification, diffusion maps, non-parametric modeling

Education: Ph.D. Candidate in Computational Mathematics, Peking University, 2014 -- present

Research Interests: Finite element methods and its applications

Diane Henderson

Professor

002 McAllister Building

814 867 5866

Education: Ph.D., Physical Oceanography, Scripps Institution of Oceanography, University of California, San Diego

Research Interests: Applied Math, Fluid Mechanics, Nonlinear Waves,

Nigel Higson

Evan Pugh University Professor

228 McAllister Building

Education: Ph.D., Dalhousie University, 1986

Research Interests: Operator algebras and K-theory

Cheryl Hile

Teaching Professor & Associate Head of Undergraduate Studies

104E McAllister Building

814 865 7528

Education: Ph.D., Engineering Science and Applied Mathematics, Northwestern University, 1993

Jingzhi Huang

Professor of Finance, David H. McKinley Professor of Business, Professor of Mathematics

350 Business Building

814-863-3566

Education: Ph.D., The University of North Carolina at Chapel Hill, 1969

Jack Huizenga

Assistant Professor

324 McAllister Building

Education: Ph.D., Harvard University 2012

Research Interests: Algebraic Geometry

Education: Ph.D., The Louisiana State University, 1958

Vladimir Itskov

Associate Professor

226 McAllister Building

814 865 1613

Education: Ph.D. University of Minnesota, 2002

Research Interests: Applied algebraic topology, and geometry.

Education: Ph.D., Massachusetts Institute Technology, 1963

Education: Ph.D., Universitas Carolina Prague, 1966

Kris Jenssen

Professor

202 McAllister Building

814 863 9123

Education: Ph.D., Norwegian University of Science and Technology, 1998

Research Interests: Partial differential equations, conservation laws, compressible fluid flow

Boris Kalinin

Associate Professor

338 McAllister Building

814 865 5181

Education: Ph.D., The Pennsylvania State University, 2000

Research Interests: Dynamical Systems, Ergodic Theory, Geometry

Svetlana Katok

Professor

301 McAllister Building

814 863 0628

Education: Ph.D. University of Maryland, College Park, 1983

Research Interests: Automorphic forms, hyperbolic geometry and Fuchsian groups, analysis on symmetric spaces, symbolic dynamics, application of dynamical systems to analysis and number theory.

Degree Year: 2013

Thesis Adviser: Jeffrey Case

Job Description: Provides information to students and faculty regarding the Undergraduate Program; processes add/drop forms; solves student problems; contacts textbook publishers to order desk copies for instructors; communicates textbooks with the Penn State Bookstore and distributes desk copies of textbooks; provides room capacity numbers. Serves as a back up to the Undergraduate Office.

Arkadz Kirshtein

Graduate Teaching Associate

413 McAllister Building

Thesis Adviser: Chun Liu and James Brannick

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

John Kopper

S.Chowla Assistant Research Professor

203 McAllister Building

814 865 3783

Thesis Adviser: Robert Vaughan

Job Description: Visiting dates: 7/1/19 - 6/30/21

Thesis Adviser: Alexei Novikov

Research Interests: Partial Differential Equations, Probability, Stochastic Processes

Mark Levi

Department Head and Professor

107 McAllister Building

814 865 7527

Education: Ph.D., New York University, 1978

Research Interests: Dynamical systems and their applications in physics and engineering

Daniel Levine

Graduate Assistant

010 McAllister Building

Thesis Adviser: Jack Huizenga

Research Interests: Algebraic geometry

Education: Ph.D., Cornell University, 1993

Research Interests: Mathematical economics, mathematical finance, computational economics

Education: Ph.D., New York University, 1983

Research Interests: Integrable systems, mathematical physics, and Poisson geometry

Xiantao Li

Professor

219C McAllister Building

814 863 9081

Education: B. S., Peking University, 1998; PhD, University of Wisconsin, Madison, 2002.

Research Interests: Computational mechanics, bio-molecular models, approximation of stochastic models, quantum-mechanical calculations.

Thesis Adviser: Jan Reimann

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

Wen-Ching W. Li

Distinguished Professor

326 McAllister Building

814 865 1669

Education: Ph.D., University of California, Berkeley, 1974

Research Interests: Automorphic forms, number theory, coding theory, and spectral graph theory

Caitlin Lienkaemper

Graduate Assistant

402 McAllister Building

Thesis Adviser: Carina Curto

David Little

Teaching Professor & Academic Advisor

104G McAllister Building

814 865 7528

Education: Ph.D., University of California, San Diego, 2000

Research Interests: Combinatorics

Education: Ph.D., New York University, 1995

Research Interests: Partial differential equations, calculus of variations, applied mathematics

Lyle Long

Professor of Aerospace Engineering and Mathematics

814 865 1172

Education: B. M. E., Mechanical Engineering, Univ. of Minnesota, 1976

Research Interests: Intelligent systems software, neural networks, computational fluid dynamics, software engineering, and high performance computing

Yushuang Luo

Graduate Assistant

020 McAllister Building

Thesis Adviser: Wenrui Hao

Richard Mansfield

Emeritus

433 McAllister Building

Education: Ph.D., Stanford University, 1970

Anna Mazzucato

Distinguished Senior Scholar, Professor and Associate Head of Administration

305 McAllister Building

814 863 2036

Education: Ph.D., University of North Carolina, Chapel Hill, 2000

B.S./M.S. University of Milan, Italy, 1994

B.S./M.S. University of Milan, Italy, 1994

Research Interests: Partial differential equations, fluid mechanics, elasticity, harmonic and microlocal analysis, inverse problems

Job Description: Coordinates and distributes evening and final math examinations, including conflict and make-up exams; works closely with SDR to accomodate students with disabilities; hires and assigns undergraduate graders and proctors; handles credit by examination processes; assists calculus coordinator and works closely with all other coordinators.

Education: Ph.D., University of Texas, 1966

Research Interests: Banach Spaces, Approximation Theory

Jason Morton

Associate Professor

219B McAllister Building

814 863 0444

Gary Mullen

Professor

304 McAllister Building

814 865 2312

Degree Year: 1974

Education: Ph.D., The Pennsylvania State University, 1974

Research Interests: Finite fields and combinatorics

Bharath Narayanan

Assistant Teaching Professor

410 McAllister Building

814 863 5220

Toan T. Nguyen

Associate Professor

238 McAllister Building

814 863 4123

Education: Ph.D., Indiana University, 2009

Research Interests: Partial Differential Equations, Fluid Dynamics, Conservation Laws, Kinetic theory.

Trinh Nguyen

Graduate Assistant

418 McAllister Building

Thesis Adviser: Toan T. Nguyen

Education: Ph.D, Applied Mathematics 2016, University of Colorado Boulder

Research Interests: Geophysical Fluid Dynamics, Rapidly-Rotating Flows, Oceanography

Shintaro Nishikawa

Graduate Assistant

015 McAllister Building

Thesis Adviser: Nigel Higson

Thesis Adviser: Kirsten Eisentraeger

Alexei Novikov

Professor

310 McAllister Building

814 863 2738

Education: Ph.D., Stanford University, 1999

Research Interests: Applied Analysis and Probability

Education: Ph.D., University of Warwick, 1983

Research Interests: Mathematical Physics, QFT,
Higher Representation Theory
Operator Algebras

Guodong (Gordon) Pang

Harold and Inge Marcus Department of Industrial and Manufacturing Engineering Associate Professor and Associate Professor of Mathematics

363 Leonhard Building

814 863 1001

Mihran Papikian

Associate Professor

318C McAllister Building

Education: Ph.D., University of Michigan, 2003

Research Interests: Algebraic Number Theory

Thesis Adviser: George Andrews and Ae Ja Yee

Siddhi Pathak

S.Chowla Assistant Research Professor

217 McAllister Building

814 863 9052

Thesis Adviser: Jack Huizenga

Yakov Pesin

Distinguished Professor

213 McAllister Building

814 865 0012

Education: Ph.D., Moscow State University, 1979

Research Interests: Dynamical systems, ergodic theory, Riemannian geometry, dimension Theory, mathematical and statistical physics

Anton Petrunin

Professor

333 McAllister Building

814 863 0931

Education: Ph.D., University of Illinois at Urbana-Champaign, 1995

Research Interests: Geometry

Asok Ray

Distinguished Professor of Mechanical Engineering and Mathematics

329 Reber Building

814 865 6377

Jan Reimann

Associate Professor

233 McAllister Building

Education: Ph.D., University of Heidelberg (Germany), 2004

Research Interests: Mathematical logic, algorithmic information theory, fractal geometry and geometric measure theory

Timothy Reluga

Associate Professor

424 McAllister Building

814 865 3883

Education: PhD, University of Washington Department of Applied Mathematics, 2004
BS, Tufts University, Majoring in Mathematics and Biology, 1998

Research Interests: Mathematical biology and applied mathematics

Joseph Roberts

Associate Teaching Professor/Calculus Coordinator

104 McAllister Building

814 865 7528

Education: Ph.D., University of Michigan, 2013

Research Interests: Euler equations, conservation laws

Thesis Adviser: Nigel Higson

Research Interests: Representation Theory, Lie Theory, Operator Algebras

Victoria Sadovskaya

Associate Professor

426 McAllister Building

814 863 4140

Education: Ph.D., The Pennsylvania State University, 2000

Research Interests: Dynamical Systems and Ergodic Theory

Thesis Adviser: Leonid Berlyand

Thesis Adviser: Yakov Pesin

Education: Ph.D., University of Oslo, 1998

Research Interests: Hyperbolic conservation laws, relaxation, partial differential equations, numerical simulation, numerical analysis, control theory

Stephen G. Simpson

Emeritus Professor of Mathematics

Office:N/A

+1 814 404 6176

Education: Ph.D., Massachusetts Institute of Technology, 1971

Research Interests: Mathematical logic, foundations of mathematics, recursion theory, set theory, combinatorics

Eric Simring

Assistant Teaching Professor

108 McAllister Building

814 867 5687

Stanley Smith

Associate Professor/ Director of Online Instruction

222 McAllister Building

814 867 2681

Education: Ph.D., University of Wyoming, 1992

Caleb Springer

Graduate Assistant

015 McAllister Building

Thesis Adviser: Kirsten Eisentraeger

Christine Stachniewicz

Associate Teaching Professor

007 McAllister Building

814 865 3285

Mathieu Stiénon

Professor

325 McAllister Building

814 865 3812

Job Description: Oversees the department budget office; maintains financial records; assists Faculty with research proposal preparation; coordinates office assignments, building repairs and maintenance; assigns key/card reader access for new employees.

Education: Ph.D.,Technion, 2013

Research Interests: Representation Theory

Sergei Tabachnikov

Professor

112 McAllister Building

Education: Ph.D., Moscow State University, 1987

Research Interests: Differential topology, dynamical systems, symplectic geometry and differential geometry

Thesis Adviser: Robert Vaughan

Arkady Tempelman

Professor

326 Thomas Building

814 863 9024

Education: Ph.D., Vilnius State University, 1975

Research Interests: Ergodic theory, statistics

Job Description: Staff assistant to Jinchao Xu and Andrew Belmonte; coordinates departmental conferences; processes reimbursements; serves as back up for the receptionist.

Thesis Adviser: Federico Rodriguez Hertz

Education: B.Sc. in Mathematics & B.A. in Philosophy, Koç University, Istanbul, Turkey, 2016.

Research Interests: Dynamics

Leonid Vaserstein

Professor

215 McAllister Building

814 863 0584

Education: Ph. D., Moscow State University, 1969

Research Interests: Classical groups over rings and algebraic K-theory; number theory; operations research; systems with local interactions

Robert Vaughan

Professor

335 McAllister Building

Education: B. Sc., University of London, 1966

Research Interests: Analytic number theory

Thesis Adviser: Yakov Pesin

Education: BA in Mathematics: Hamilton College

Research Interests: Dynamical systems, smooth ergodic theory

Kurt Vinhage

Anatole Katok Center for Dynamical Systems and Geometry Assistant Research Professor

309 McAllister Building

814 863 6398

Thesis Adviser: Anatole Katok

Thesis Title: Smooth rigidity of genuinely higher-rank homogeneous flows

Degree Year: 2016

Career Bio: NSF postdoctoral research fellow, University of Chicago, 2016 - present

Education: Bachelor of Arts, Mathematics, Florida State University, 2010

Aissa Wade

Professor

317 McAllister Building

814 865 7311

Education: Ph.D., University Montpellier 2, France.

Research Interests: Differential Geometry; symplectic geometry; Poisson geometry; contact geometry.

Zhiren Wang

Associate Professor

308 McAllister Building

Education: Ph.D. Princeton University, 2011

Research Interests: Ergodic theory; homogeneous dynamical systems

Thesis Adviser: Alberto Bressan

Daren Wei

Graduate Assistant

404 McAllister Building

Thesis Adviser: Svetlana Katok

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

Research Interests: Dynamical systems, Ergodic theory, Slow entropy

Education: Ph.D., Princeton University, 1964

Linda Westrick

Assistant Professor

318B Mcallister Building

814 863 2738

Education: Ph.D., University of Idaho, 1988

Research Interests: Evolutionary dynamics of human civilization

Kelli Wilkinson

Administrative Support Coordinator

107F McAllister Building

814 863 9051

Job Description: Responsible for the general management of the department offices; act as personnel coordinator for the department; oversees faculty recruiting, hiring, promotion and tenure dossiers, second and fourth year reviews, leaves of absence, faculty activity reports, departmental committees, and departmental communications; coordinates departmental events and departmental development efforts.

Matthew Willyard

Associate Teaching Professor

001 McAllister Building

814 863 8500

Xiaojie Wu

Graduate Assistant

432 McAllister Building

Thesis Adviser: Xiantao Li

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

Research Interests: Computational Mathematics, Computational Materials.

Thesis Adviser: Chun Liu / Ludmil Zikatanov

Thesis Adviser: Vladimir Itskov

Education: Ph.D., Emory University, 1995

Research Interests: Graph theory

Job Description: Visiting dates: 11/1/2019 - 10/31/2020

Jinchao Xu

Verne M. Willaman Professor

314 McAllister Building

814 865 1110

Education: Ph.D., Cornell University, 1989

Research Interests: Numerical methods for partial differential equations and applications

Ping Xu

Distinguished Professor

329 McAllister Building

814 865 3517

Education: Ph.D., University of California, Berkeley, 1990

Research Interests: Symplectic geometry and mathematical physics

Thesis Adviser: Ludmil Zikatanov

Education: Ph.D., Korea Advanced Institute of Science and Technology (KAIST), 2000

Research Interests: Partition theory, q-series, enumerative combinatorics, special functions

Thesis Adviser: Andrew Belmonte

Thesis Adviser: Anton Petrunin

Education: Habilitation, Leningrad State University, 1986

Research Interests: Algebraic geometry, Number Theory

Thesis Adviser: Alberto Bressan

Yuxi Zheng

Francis R. Pentz and Helen M. Pentz Professor of Science

229 McAllister Building

Education: Ph.D 1990 The University of California at Berkeley.

Research Interests: Partial Differential Equations

Ludmil Zikatanov

Professor and Associate Head for Computing

239 McAllister Building

Education: Ph.D. Sofia University, St. Kliment Ohridski, 1995

Research Interests: Computational Mathematics, Numerical Analysis

Albena Zikatanova

Assistant Teaching Professor

407 McAllister Building

814 863 9670