Full Department Directory

Research Interests: Visiting Dates: 12/1/16-5/9/17

Education: Ph.D., Indiana University, 1971

Research Interests: Operator algebras

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

Research Interests: Number theory, partitions

Thesis Adviser: Kirsten Eisentraeger

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

Education: Ph.D., Yale University, 1947

Thesis Adviser: Nigel Higson

Research Interests: Geometry, Representation Theory and Physics

Thesis Adviser: Anatole Katok

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

Research Interests: Symplectic, contact geometry and topology

Thesis Adviser: Ludmil Zikatanov

Education: Ph.D., Princeton University, 1963

Research Interests: Topology and operator algebras

Education: A. B., Modern History and Literature, Radcliffe College, 1958

Job Description: Staff assistant to George Andrews, assists with journal work, travel arrangements, and award nominations.

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

Job Description: Lecturer, Director of Pennsylvania Mathematics Initiative

Research Interests: Teacher preparation and professional development, mathematics for teaching ( 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

Research Interests: Visiting Dates: 9/1/16-8/31/17

Research Interests: Visiting Dates: 9/1/16-8/31/17

Thesis Adviser: Diane Henderson

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

Job Description: Staff assistant for the Undergraduate Office. Works with SRTEs, course reviews, and online courses.

Research Interests: scientific computing and numerical analysis

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

Thesis Adviser: Ping Xu

Education: Ph.D., Purdue University, 1999

Research Interests: Operator algebras

Education: Ph.D., Cornell University, 1970

Research Interests: Number theory, transcendence

Job Description: Staff assistant in the Undergraduate Office. Provides information to students and faculty regarding the Undergraduate Program, maintains schedule of classes, and web pages.

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., Purdue University, 2014

Research Interests: Adaptive Finite Element Method for Partial Differential Equations

Thesis Adviser: James Brannick

Education: B.S. Nankai University, 2010

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: Jinchao Xu

Thesis Adviser: Dmitri Burago

Education: Ph.D., MIT, 1990

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

Research Interests: Visiting Dates: 9/10/15-9/30/16

Research Interests: Visiting Dates: 9/1/16-9/1/17

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

Research Interests: Visiting Dates: 9/1/16-9/1/17

Thesis Adviser: Xiantao Li

Job Description: Staff assistant for some faculty members and for conferences. Processes reimbursements.

Thesis Adviser: Zhiren Wang and Federico Rodriguez Hertz

Education: Ph.D., Northwestern University, 2008

Thesis Adviser: Winnie Li

Research Interests: Visiting Dates: 11/15/16-11/15/17

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.

Thesis Adviser: Manfred Denker

Education: Maths And Computing , Msc+ Bsc, Indian Institute of Technology, Kharagpur

Research Interests: Probability

Education: Ph.D., Erlangen University, 1972

Research Interests: Probability Theory, Ergodic Theory, Statistics, Dynamical Systems.

Education: Ph.D., Brown University, 1966

Research Interests: Approximation theory, functional analysis

Education: Ph.D in pure mathematics at the Universidad Simon Bolivar-Venezuela (2010)

Research Interests: Hypercomplex analysis (Clifford, Quaternionic and complex analysis), Partial differential equations in hypercomplex analysis.

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

Thesis Adviser: Anatole Katok

Education: B. S., Univ. of Science & Technology of China, 1983

Research Interests: Computational and Applied Mathematics,

Research Interests: Mathematical Physics, Combinatorics, Higher Representation Theory

Education: Ph.D. University of Pennsylvania, 2013

Research Interests: Algebraic geometry, arithmetic geometry, Galois theory

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

Research Interests: Number theory, arithmetic geometry

Thesis Adviser: Anatole Katok

Research Interests: Dynamical Systems

Thesis Adviser: Nigel Higson and John Roe

Thesis Adviser: Mihran Papikian

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.

Education: Ph.D., UCLA, 1966

Research Interests: Potential theory, complex variables and differential geometry

Research Interests: Visiting from 10/1/16-1/31/18

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

Education: Ph.D. Penn State University, 2010

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

Job Description: Staff Assistant for the Graduate Studies Program. Oversee and manage all aspects of graduate admissions. Maintain student records, monitor student progress. Assist with the scheduling of graduate courses, process curriculum changes. Collect payroll information, prepare I-9 forms and process graduate assistantship appointments.

Degree Year: 2005

Research Interests: Harmonic analysis, number theory and combinatorics

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

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

Thesis Adviser: Sergei Tabachnikov

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

Thesis Adviser: George Andrews and Ae Ja Yee

Job Description: Types, processes, packages, and distriubes exams including makeups, conflict, and disability exams. Works closely with coordinators. Hires proctors and graders.

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

Thesis Adviser: Anatole Katok

Research Interests: Dynamical Systems

Education: Ph.D., Harvard University 2012

Research Interests: Algebraic Geometry

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

Thesis Adviser: Leonid Berlyand

Education: Ph.D. University of Minnesota, 2002

Research Interests: Applied algebraic topology, and geometry.

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

Thesis Adviser: Jason Morton

Research Interests: Applied Category Theory, Applied Algebraic Geometry, Machine Learning

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

Thesis Adviser: Alberto Bressan

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

Research Interests: Dynamical Systems, Ergodic Theory, Geometry

Education: M. A., Moscow State University, 1965

Research Interests: Ergodic theory and dynamical systems, geometry, analysis

Education: M. A., Moscow State University, 1969

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

Job Description: Staff assistant in the Undergraduate Office. Provides information to students and faculty regarding the Undergraduate Program, course reviews, student evaluations, and online courses.

Thesis Adviser: Chun Liu and James Brannick

Education: B.S. in Applied Mathematics and Computer Science, Belarusian State University, 2012

Job Description: Math 250 Office hours: MW 3:35pm-4:25pm and by appointment

Research Interests: PDE analysis and computations, fluid dynamics, complex fluids, hyperbolic systems of conservation laws

Thesis Adviser: Robert Vaughan

Thesis Adviser: Vladimir Itskov

Research Interests: Applied homological algebra, topological data analysis, mathematical neuroscience

Research Interests: Probability, Partial Differential Equations

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

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

Thesis Adviser: Jack Hiuzenga

Research Interests: Algebraic geometry

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

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

Thesis Adviser: Jan Reimann

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

Education: Ph.D., Cornell University, 1993

Research Interests: Mathematical economics, mathematical finance, computational economics

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.

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

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

Thesis Adviser: Ping Xu and Mathieu Stienon

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

Thesis Adviser: Anatole Katok and Zhiren Wang

Research Interests: Co-adviser: Zhiren Wang

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: Dmitri Burago

Education: Ph.D. Purdue University 2014

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

Thesis Adviser: Leonid Berlyand

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

Research Interests: Banach Spaces, Approximation Theory

Thesis Adviser: Kirsten Eisentraeger

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

Research Interests: Finite fields and combinatorics

Education: PhD Carnegie Mellon University 2016

Research Interests: Applied Analysis, PDE

Education: Ph.D., Indiana University, 2009

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

Thesis Adviser: Qiang Du

Education: M. A., Moscow State University, 1993

Research Interests: Analysis

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

Research Interests: Higher representation theory, combinatorics, operator algebras

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

Research Interests: Algebraic Number Theory

Thesis Adviser: Jan Reimann

Thesis Adviser: George Andrews and Ae Ja Yee

Thesis Adviser: Robert Vaughan

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

Thesis Adviser: Andrew Belmonte

Education: Associate Degree, Legal Program, Centre Business School

Job Description: Administrative Assistant to the Department Head. Responsible for the general management of the department offices and personnel coordinator for the department.

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

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

Education: Ph.D., University of Washington, 2004

Research Interests: Mathematical biology and applied mathematics

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

Research Interests: Euler equations, conservation laws

Education: D. Phil, Oxford University, 1984

Research Interests: Coarse geometry, index theorems, operator algebras, non-commutative geometry, topology, analysis

Thesis Adviser: Nigel Higson

Thesis Adviser: George Andrews

Thesis Adviser: Federico Rodriguez Hertz

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

Education: Ph.D., Carnegie Mellon University, 2013

Research Interests: Mathematical logic, algorithmic randomness, effective probability theory, dynamical systems.

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

Research Interests: Dynamical Systems and Ergodic Theory

Thesis Adviser: David Bressoud

Thesis Title: A Generalization of the Partition Function

Degree Year: 1992

Career Bio: Professor, Director of Undergraduate Studies, Mathematics, Penn State

Education: Ph.D., The Pennsylvania State University, 1992

Research Interests: Number theory, partitions, enumerative combinatorics

Research Interests: Visiting Dates: 1/14/16-1/5/17

Research Interests: Visiting Dates: 1/14/16- 1/5/17

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

Research Interests: Visiting Dates: 12/20/16-12/31/17

Research Interests: Visiting Dates: 2/11/16-2/11/17

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

Research Interests: Visiting Dates: 12/20/16-12/31/17

Job Description: Receptionist for the administrative complex, maintains directory, works with purchasing cards and group meals, process the mail, and orders supplies.

Job Description: Financial assistant in the Finance Office. Supervises office staff, prepares financial reports, approves financial forms, assists with research grants, and processes appointments. Facility contact for Department. Serves as key custodian and card reader access for Department.

Education: Ph.D.,Technion, 2013

Research Interests: Representation Theory

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

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

Thesis Adviser: Nigel Higson

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: Xiantao Li

Education: B.S. Mathematics, Baylor University, 2013.

Research Interests: Numerical Analysis

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

Research Interests: Ergodic theory, statistics

Thesis Adviser: Qiang Du

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

Research Interests: Dynamics

Education: M. A., Moscow State University, 1966

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

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: Anatole Katok

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

Research Interests: Dynamical systems, Ergodic theory, Slow entropy

Thesis Adviser: Alberto Bressan

Education: Ph.D., Princeton University, 1964

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

Research Interests: evolutionary dynamics of human civilization

Job Description: Financial Assistant 3 in the Finance Office. Prepares financial forms. Processes student appointments and payroll. Makes arrangements for visitors. Completes ERS travel reports for employees and visiting scholars. Reconciles P-card charges. Back-up for keys/card reader. Back up for facilities.

Thesis Adviser: Jason Morton

Thesis Adviser: Ludmil Zikatanov

Education: B.S. in Mathematics,University of Science and Technology of China,2014

Research Interests: Computational mathematics, multigrid method.

Thesis Adviser: Chun Liu

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

Research Interests: Visiting Dates: 3/15/16-3/14/17

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

Thesis Adviser: Ludmil Zikatanov

Research Interests: Visiting Dates: 3/15/16-3/14/17

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

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

Thesis Adviser: Nigel Higson

Thesis Adviser: Andrew Belmonte

Job Description: IT Magician

Research Interests: Visiting Dates: 8/15/16-8/14/18

Thesis Adviser: Qiang Du

Education: Habilitation, Leningrad State University, 1986

Research Interests: Algebraic geometry, Number Theory

Thesis Adviser: Nate Brown

Thesis Title: "Rokhlin dimension for C*-correspndences"

Degree Year: 2015

Education: B.S. in Applied Mathematics, Columbia University, 2009

Research Interests: Operator Algebras

Thesis Adviser: Yakov Pesin

Job Description: Staff assistant for the Department Head, works with the promotion and tenure process, annual reviews, processes visa for employees, award nominations, and tracks various information for the department.

Thesis Adviser: Xiantao Li

Thesis Adviser: Jinchao Xu

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

Research Interests: Algebraic multigrid method (AMG) and its application.

Thesis Adviser: Anna Mazzucato and Victor Nistor

Education: B.S. Nankai Univerisity 2011

Research Interests: PDE

Thesis Adviser: Manfred Denker

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

Research Interests: Partial Differential Equations

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

Research Interests: Computational Mathematics, Numerical Analysis