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