# 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

**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

**Leonardo Abbrescia**, Ph.D. (Michigan State)

**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

**Marcelo Disconzi**, Ph.D. (SUNY, Stony Brook)

Partial Differential Equations, Mathematical Physics

**Douglas P. Hardin**, Ph.D. (Georgia Institute of Technology)

Harmonic Analysis, Potential Theory, Fractal Geometry

**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

**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

**Dylan Domel-White**, Ph.D. (University of Houston)

**Douglas P. Hardin**, Ph.D. (Georgia Institute of Technology)

Inverse Problems, Wavelet Theory, Fractal Geometry

**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

**Alex Margolis**, Ph.D. (University of Oxford, United Kingdom)

**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

**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

**Sam Shepherd**, Ph.D. (University of Oxford)

Geometric Group Theory

## GRAPH THEORY AND COMBINATORICS

**Mark N. Ellingham**, Ph.D. (University of Waterloo, Canada)

Graph Theory, Paths and Cycles, Topological Graph Theory

**Kevin Grace**, Ph.D. (Louisiana State University)

**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

**Glenn F. Webb**, Ph.D. (Emory University)

Mathematical Biology, Population Dynamics, Models of Tumor Growth

## 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

**Ian Wagner**, Ph.D. (Emory University)

Number Theory