Full Department Directory

Thesis Adviser: Yakov Pesin

Education: Ph.D., Indiana University, 1971

Research Interests: Operator algebras

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

Research Interests: Number theory, partitions

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

Education: Ph.D., Yale University, 1947

Thesis Adviser: George Andrews / Ae Ja Yee

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

Research Interests: Symplectic, contact geometry and topology

Thesis Adviser: Nigel Higson

Thesis Adviser: Ludmil Zikatanov

Education: Ph.D., Princeton University, 1963

Research Interests: Topology and operator algebras

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

Education: Ph.D., Princeton University, 1994

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

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

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

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. Reconciles purchasing cards and processes 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.

Education: Ph.D., CU Boulder, 2005

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

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

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

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

Research Interests: Game Theory, Optimization, Mathematical Modeling

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

Research Interests: Applied mathematics, computer simulations, materials sciences

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

Thesis Adviser: Wenrui Hao

Thesis Adviser: George Andrews

Education: Academic Name: Shane Chern

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

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: Leonid Berlyand

Thesis Adviser: Kirsten Eisentraeger

Thesis Adviser: Zhiren Wang and Federico Rodriguez Hertz

Education: Ph.D., Northwestern University, 2008

Thesis Adviser: Federico Rodriguez Hertz

Thesis Adviser: Leonid Berlyand

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.

Education: Ph.D., Brown University, 1966

Research Interests: Approximation theory, functional analysis

Thesis Adviser: Robert Vaughan

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

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

Research Interests: Number theory, arithmetic geometry

Thesis Adviser: Yuriy Zarkhin

Thesis Adviser: Nigel Higson

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.

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: John Harlim

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

Education: Ph.D., Stanford University

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

Degree Year: 2010

Education: Ph.D. Penn State University, 2010

Thesis Adviser: Nigel Higson

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

Degree Year: 2005

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

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

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

Education: Ph.D., Dalhousie University, 1986

Research Interests: Operator algebras and K-theory

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

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

Education: Ph.D., Harvard University 2012

Research Interests: Algebraic Geometry

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

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

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

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

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

Research Interests: Dynamical Systems, Ergodic Theory, Geometry

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.

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

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

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

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

Thesis Adviser: Jack Huizenga

Research Interests: Algebraic geometry

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

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

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

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

Thesis Adviser: Carina Curto

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

Research Interests: Combinatorics

Thesis Adviser: Zhiren Wang

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

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

Thesis Adviser: Nigel Higson

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

Thesis Adviser: Wenrui Hao

Education: Ph.D., Stanford University, 1970

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

Degree Year: 1974

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

Research Interests: Finite fields and combinatorics

Education: Ph.D., Indiana University, 2009

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

Thesis Adviser: Toan T. Nguyen

Thesis Adviser: Jingzhi Huang

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

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

Thesis Adviser: Nigel Higson

Thesis Adviser: Kirsten Eisentraeger

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

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

Research Interests: Algebraic Number Theory

Thesis Adviser: George Andrews and Ae Ja Yee

Thesis Adviser: Jack Huizenga

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

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

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

Research Interests: Geometry

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

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

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

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

Education: Ph.D., University of Notre Dame, 1961

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

Research Interests: Dynamical Systems and Ergodic Theory

Thesis Adviser: Leonid Berlyand

Degree Year: Ping Xu

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

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

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

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

Thesis Adviser: Kirsten Eisentraeger

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

Thesis Adviser: Alberto Bressan

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

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

Thesis Adviser: Robert Vaughan

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

Research Interests: Ergodic theory, statistics

Thesis Adviser: Qiang Du

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

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

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, thermodynamic formalism

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

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

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

Education: Ph.D. Princeton University, 2011

Research Interests: Ergodic theory; homogeneous dynamical systems

Thesis Adviser: Alberto Bressan

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

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

Research Interests: Evolutionary dynamics of human civilization

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.

Thesis Adviser: Chun Liu / Ludmil Zikatanov

Thesis Adviser: Vladimir Itskov

Thesis Adviser: Xiantao Li

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

Research Interests: Computational Mathematics, Computational Materials.

Education: Ph.D., Emory University, 1995

Research Interests: Graph theory

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

Thesis Adviser: Ludmil Zikatanov

Education: Ph.D., Cornell University, 1989

Research Interests: Numerical methods for partial differential equations and applications

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

Thesis Adviser: Andrew Belmonte

Thesis Adviser: Anton Petrunin

Education: Habilitation, Leningrad State University, 1986

Research Interests: Algebraic geometry, Number Theory

Thesis Adviser: Xiantao Li

Thesis Adviser: Alberto Bressan

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

Research Interests: Partial Differential Equations

Thesis Adviser: Wenrui Hao

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

Research Interests: Computational Mathematics, Numerical Analysis