# Faculty

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

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

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 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.

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

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., 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

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

Jessica Conway

Assistant Professor

332 McAllister Building

814 863 9125

Education: Ph.D., Northwestern University, 2008

Francesco Costanzo

Professor of Engineering Science and Mechanics and Mathematics

Office:N/A

814 863 2030

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.

Kirsten Eisentraeger

Professor and Associate Head for Administration

330 McAllister Building

814 863 4127

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

Research Interests: Number theory, arithmetic geometry

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

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

Jingzhi Huang

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

350 Business Building

814-863-3566

Jack Huizenga

Assistant Professor

324 McAllister Building

Education: Ph.D., Harvard University 2012

Research Interests: Algebraic Geometry

Vladimir Itskov

Associate Professor

226 McAllister Building

814 865 1613

Education: Ph.D. University of Minnesota, 2002

Research Interests: Applied algebraic topology, and geometry.

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.

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

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.

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

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

Anna Mazzucato

Distinguished Senior Scholar and Professor

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

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

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.

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

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

318B 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

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

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

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

Stanley Smith

Associate Professor/ Director of Online Instruction

222 McAllister Building

814 867 2681

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

Mathieu Stiénon

Professor

325 McAllister Building

814 865 3812

Sergei Tabachnikov

Professor

112 McAllister Building

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

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

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

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

Linda Westrick

Assistant Professor

233 Mcallister Building

814 863 2738

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

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

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

Education: Habilitation, Leningrad State University, 1986

Research Interests: Algebraic geometry, Number Theory

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