Faculty Research Areas

ALGEBRA AND LOGIC

Ralph McKenzie, Ph.D. (University of Colorado, Boulder)
Algebra and Logic

Michael L. Mihalik, Ph.D. (SUNY, Binghamton)
Geometric Group Theory

Alexander Yu. Ol’shanskiy, Ph.D. (Moscow State University, Russia)
Group Theory

Denis Osin, Ph.D. (Moscow State University, Russia)
Geometric Group Theory

John G. Ratcliffe, Ph.D. (University of Michigan)
Geometric Group Theory

Mark V. Sapir, Ph.D. (Moscow State Pedagogical Institute, Russia)
Group Theory, Algorithmic Problems in Algebra

Steven T. Tschantz, Ph.D. (University of California, Berkeley)
Logic, Universal Algebra, Computer Algebra

Constantine Tsinakis, Ph.D. (University of California, Berkeley)
Algebraic Logic, Order Algebra

ANALYSIS AND APPLIED ANALYSIS

See also Noncommutative Geometry and Operator Algebras Research Group

John F. Ahner, Ph.D. (University of Delaware)
Integral Equation Methods in Scattering and Potential Theory, Fractional Calculus and Mixed Boundary Value Problems, Elasticity Theory, Conservation Laws

Akram Aldroubi, Ph.D. (Carnegie Mellon University)
Harmonic Analysis, Sampling Theory, Mathematical Biology

Dietmar Bisch, Ph.D. (University of California, Los Angeles)
Operator Algebras, Quantum Physics, Quantum Information Theory

Philip S. Crooke III, Ph.D. (Cornell University)
Differential Equations, Mathematical Biology, Mathematics Education

Emmanuele DiBenedetto, Ph.D. (University of Texas, Austin)
Partial Differential Equations, Mathematical Biology

Yanqin Fan, Ph.D. (University of Western Ontario)
Nonparametric Statistics, Econometrics

Douglas P. Hardin, Ph.D. (Georgia Institute of Technology)
Harmonic Analysis, Fractal Geometry, Biomedical Informatics

Vaughan Jones, Ph.D.(University of Geneva, Switzerland)
Von Neumann Algebras

Jesse Peterson, Ph.D. (University of California, Los Angeles)
Operator Algebras, Ergodic Theory

Alexander M. Powell, Ph.D. (University of Maryland)
Harmonic Analysis, Signal and Image Processing

Edward B. Saff, Ph.D. (University of Maryland)
Complex Analysis, Potential Theory

Gieri Simonett, Ph.D. (University of Zurich, Switzerland)
Partial Differential Equations, Free Boundary Problems

Glenn F. Webb, Ph.D. (Emory University)
Mathematical Biology, Population Dynamics, Models of Tumor Growth, Differential Equations

Daoxing Xia, Ph.D. (Jijiang University, China)
Operator Theory and its Applications

Dechao Zheng, Ph.D. (SUNY, Stony Brook)
Functional Analysis, Operator Theory, Complex Analysis, Harmonic Analysis

COMPUTATIONAL MATHEMATICS

See also Center for Constructive Approximation

Akram Aldroubi, Ph.D. (Carnegie Mellon University)
Wavelet Theory, Image and Signal Processing

Yanqin Fan, Ph.D.(University of Western Ontario)
Nonparametric Statistics, Econometrics

Douglas P. Hardin, Ph.D. (Georgia Institute of Technology)
Wavelet Theory, Image Processing.

Mike Neamtu, Ph.D. (University of Twente, Netherlands)
Approximation Theory, Spline Theory, Numerical Analysis

Alexander M. Powell, Ph.D. (University of Maryland)
Harmonic Analysis, Signal and Image Processing

Edward B. Saff, Ph.D. (University of Maryland)
Approximation Theory, Orthogonal Expansions

Larry L. Schumaker, Ph.D. (Stanford University)
Approximation Theory, Spline Theory, Computer-Aided Design

GEOMETRY AND TOPOLOGY

See also Noncommutative Geometry and Operator Algebras Research Group

C. Bruce Hughes, Ph.D. (University of Kentucky)
Geometric and Algebraic Topology, Manifold Theory, Controlled Topology, Stratified Spaces

Gennadi Kasparov, Ph.D. (Moscow State University, Russia)
K-theory, Noncommutative Geometry, Operator Algebras

Michael L. Mihalik, Ph.D. (SUNY Binghamton)
Algebraic Topology, Low Dimensional Topology, Geometric Group Theory

Alexander Yu. Ol’shanskiy, Ph.D. (Moscow State University, Russia)
Geometric Group Theory

Denis Osin, Ph.D. (Moscow State University, Russia)
Geometric Group Theory

John G. Ratcliffe, Ph.D. (University of Michigan)
Low Dimensional Topology, Hyperbolic Geometry

Mark V. Sapir, Ph.D. (Moscow State Pedagogical Institute, Russia)
Geometric Group Theory, Algorithmic Problems in Algebra

Ioana Suvaina, Ph.D. (SUNY, Stony Brook)
Differential Geometry, Kahler Geometry, Seiberg-Witten Theory and Symplectic Topology

Steven T. Tschantz, Ph.D. (University of California, Berkeley)
Group Theory, Hyperbolic Geometry

GRAPH THEORY AND COMBINATORICS

Paul H. Edelman, Ph.D. (Massachusetts Institute of Technology)
Algebraic Combinatorics, Geometric Combinatorics, Cooperative Games

Mark N. Ellingham, Ph.D. (University of Waterloo, Canada)
Graph Theory, Paths and Cycles, Topological Graph Theory