Faculty Research Areas

ALGEBRA AND LOGIC

Simon André, Ph.D. (University of Rennes 1, France)
Group Theory

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

Adam Přenosil, Ph.D. (Charles University, Czech Republic)
Algebra and Logic

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

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

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

Ivan Medri, Ph.D. (National University of Cordoba, Argentina)
Dynamical Systems and Sampling Theory

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

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)
Operator Algebras, Representation Theory, Measurable Group Theory

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

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

James Hateley, Ph.D. (University of California, Santa Barbara)
Scientific Computing

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

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

Mike Neamtu, Ph.D. (University of Twente, Netherlands)
Computer-Aided Geometric Design, 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

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

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

Mitchell Faulk, Ph.D. (Columbia University)
Differential Geometry

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

Jocelyne Ishak, Ph.D. (University of Kent, United Kingdom)
Homotopy Theory

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

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

Angelica Babei, Ph.D. (Dartmouth College)
Number Theory

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

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

Ian Wagner, Ph.D. (Emory University)
Number Theory