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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

Andrew Moorhead, Ph.D. (University of Colorado, Boulder)
Algebraic Systems, Algebra and Logic

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

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

Adam Prenosil, Ph.D. (Charles University, Prague)
Operator Algebras, Functional Analysis

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

Stephen G. Simpson, Ph.D. (Massachusetts Institute of Technology)
Mathematical Logic, Foundations of Mathematics

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

Constantine Tsinakis, Ph.D. (University of California, Berkeley)
Ordered Algebraic Structures, Logic

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

Scott Atkinson, Ph.D. (University of Virginia)
Operator Algebras, Functional Analysis

Dietmar Bisch, Ph.D. (University of California, Los Angeles)
Operator Algebras

Cheng Chu, Ph.D. (Washington University, St. Louis)
Operator Theory, Complex Analysis

Philip S. Crooke III, Ph.D. (Cornell University)
Biomathematics

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

Marcelo Disconzi, Ph.D. (SUNY, Stony Brook)
Partial Differential Equations, Mathematical Physics

Cain Edie-Michell, Ph.D. (Australian National University)
Operator Theory

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

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

Chenyun Luo, Ph.D. (Johns Hopkins University)
Partial Differential Equations

Giusy Mazzone, Ph.D. (University of Pittsburgh)
Partial Differential Equations, Fluid Mechanics

Robert McRae, Ph.D. (Rutgers University)
Vertex Operator Algebras

Brent Nelson, Ph.D. (University of California, Los Angeles)
Operator Algebras, Free Probability

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

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

Lauren Ruth, Ph.D. (University of California, Riverside)
Von Neumann Algebras, Automorphic Forms, Representation Theory

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

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

Jared Speck, Ph.D. (Rutgers University)
Partial Differential Equations, Mathematical Physics, Relativity

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

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

Douglas P. Hardin, Ph.D. (Georgia Institute of Technology)
Inverse Problems, Wavelet Theory, Fractal Geometry

Woden Kusner, Ph.D. (University of Pittsburgh)
Discrete Geometry, Geometric Optimization

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

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

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

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

Anna Marie Bohmann, Ph.D. (University of Chicago)
Algebraic Topology, Homotopy Theory

Jonathan Campbell, Ph.D. (Stanford University)
Algebraic Topology

Marcelo Disconzi, Ph.D. (SUNY, Stony Brook)
Geometric Analysis

Spencer D. Dowdall, Ph.D. (University of Chicago)
Geometric Topology, Geometric Group Theory

Matthew Haulmark, Ph.D. (University of Wisconsin, Milwaukee)
Geometric Group Theory

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

Rares Rasdeaconu, Ph.D. (SUNY, Stony Brook)
Differential and Symplectic Geometry

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

Jared Speck, Ph.D. (Rutgers University)
Geometric Analysis

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

Grace Work, Ph.D. (University of Illinois Urbana-Champaign)
Hyperbolic Geometry, Dynamics

GRAPH THEORY AND COMBINATORICS

Alexander Cameron, Ph.D. (University of Illinois, Chicago)
Combinatorics, Graph Theory

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

Jakayla Robbins, Ph.D. (University of Kentucky)
Matroid Representation Theory, Oriented Matroids, Combinatorial Optimization

Larry Rolen, Ph.D. (Emory University)
Theory of Partitions

Stephen G. Simpson, Ph.D. (Massachusetts Institute of Technology)
Infinitary Combinatorics, Ramsey Theory

MATHEMATICAL BIOLOGY

Philip Crooke III, Ph.D. (Cornell University)
Mathematical Biology

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

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

William Holmes, Ph.D. (Indiana University, Bloomington)
Mathematical Biology

Yixiang Wu, Ph.D. (University of Louisiana, Lafayette)
Partial Differential Equations, Mathematical Biology

NUMBER THEORY AND ALGEBRAIC GEOMETRY

Rares Rasdeaconu, Ph.D. (SUNY, Stony Brook)
Algebraic Geometry

Larry Rolen, Ph.D. (Emory University)
Number Theory, Modular Forms, Arithmetic Geometry