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

Thesis Adviser: Kirsten Eisentraeger

Research Interests: Arithmetic Geometry, Number Theory, Cryptography

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

Research Interests: Low dimensional topology, braid theory, knot homologies.

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

Research Interests: Symplectic, contact geometry and topology

Job Description: Coordinates and distributes evening and final math exams, including conflict and make-up exams; works closely with SDR to accommodate 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.

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

Job Description: Main receptionist for the administrative complex; maintains directory; schedules and approves conference/seminar rooms; works with purchasing cards, group meals, and travel related expenses; processes mail and orders supplies.

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: 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

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: 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: George Andrews

Education: Academic Name: Shane Chern

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

Job Description: Visiting Dates: 9/1/18 - 8/31/19

Thesis Adviser: Jinchao Xu

Education: Ph.D., MIT, 1990

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

Thesis Adviser: Xiantao Li

Thesis Adviser: Zhiren Wang and Federico Rodriguez Hertz

Education: Ph.D., Northwestern University, 2008

Thesis Adviser: Federico Rodriguez Hertz

Thesis Adviser: Winnie Li

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

Research Interests: Visiting dates: 8/1/2018 - 8/1/2019

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

Research Interests: Number theory, arithmetic geometry

Thesis Adviser: Nigel Higson and John Roe

Research Interests: Visiting Dates 8/24/2018 - 5/14/2019

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.

Education: Ph.D., UCLA, 1966

Research Interests: Potential theory, complex variables and differential geometry

Degree Year: 1998

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

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., 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

Thesis Adviser: Dmitri Burago

Research Interests: Dynamical Systems

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

Thesis Adviser: Alberto Bressan

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

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

Thesis Adviser: Vladimir Itskov

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

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

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: 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.

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

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

Research Interests: Visiting Dates: 8/1/17- 8/15/18

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

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: 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: Jingzhi Huang

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

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

Research Interests: Visiting Dates: 3/25/18-3/25/19

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

Research Interests: Analysis

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: Robert Vaughan

Education: The University of Manchester

Research Interests: Graded and super geometry, mathematical physics

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

Job Description: Visiting Dates: 8/29/18 - 5/15/19

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

Thesis Adviser: Federico Rodriguez Hertz

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: 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

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

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

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

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

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.

Job Description: Financial Assistant 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

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: Nigel Higson

Thesis Adviser: Andrew Belmonte

Education: Habilitation, Leningrad State University, 1986

Research Interests: Algebraic geometry, Number Theory

Thesis Adviser: Yakov Pesin

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: Xiantao Li

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