# Faculty Research Areas

## Algebra and Logic

**Michael Mihalik**

Geometric Group Theory

**Alexander Ol’shanskiy**

Group Theory

**Denis Osin**

Geometric Group Theory

**Stephen Simpson**

Mathematical Logic, Foundations of Mathematics

## ANALYSIS AND APPLIED ANALYSIS

See also Noncommutative Geometry and Operator Algebras Research Group

**Akram Aldroubi**

Harmonic Analysis, Sampling Theory, Mathematical Biology

**Dietmar Bisch**

Operator Algebras

**Marcelo Disconzi**

Partial Differential Equations, Mathematical Physics

**Doug Hardin**

Harmonic Analysis, Potential Theory, Fractal Geometry

**Mike Neamtu**

Approximation Theory

**Jesse Peterson**

Operator Algebras, Ergodic Theory

**Alexander Powell**

Applied and Computational Harmonic Analysis, Mathematical Signal Processing

**Ed Saff**

Approximation Theory, Potential Theory, Complex Analysis,

**Gieri Simonett**

Partial Differential Equations, Free Boundary Problems

**Jared Speck**

Partial Differential Equations, Mathematical Physics, Relativity

**Glenn Webb**

Mathematical Biology, Population Dynamics, Models of Tumor Growth, Differential Equations

**Dechao Zheng**

Functional Analysis, Operator Theory, Complex Analysis, Harmonic Analysis

## COMPUTATIONAL MATHEMATICS

See also Center for Constructive Approximation

**Akram Aldroubi**

Wavelet Theory, Image and Signal Processing

**Doug Hardin**

Inverse Problems, Wavelet Theory, Fractal Geometry

**Mike Neamtu**

Computer-Aided Geometric Design, Spline Theory, Numerical Analysis, Financial Mathematics

**Alexander Powell**

Applied and Computational Harmonic Analysis, Mathematical Signal Processing

**Ed Saff**

Approximation Theory, Complex Analysis, Potential Theory

**Larry Schumaker**

Approximation Theory, Spline Theory, Computer-Aided Design

## GEOMETRY AND TOPOLOGY

**Anna Marie Bohmann**

Algebraic Topology, Homotopy Theory

**Marcelo Disconzi**

Geometric Analysis

**Spencer Dowdall**

Geometric Topology, Geometric Group Theory

**Dan Margalit**

Geometric Group Theory

**Michael Mihalik**

Algebraic Topology, Low Dimensional Topology, Geometric Group Theory

**Alexander Ol’shanskiy**

Geometric Group Theory

**Denis Osin**

Geometric Group Theory

**Rares Rasdeaconu**

Differential and Symplectic Geometry

**Jared Speck**

Geometric Analysis

**Ioana Suvaina**

Differential Geometry, Kahler Geometry, Seiberg-Witten Theory and Symplectic Topology

## GRAPH THEORY AND COMBINATORICS

**Mark Ellingham**

Graph Theory, Paths and Cycles, Topological Graph Theory

**Larry Rolen**

Theory of Partitions

**Stephen Simpson**

Infinitary Combinatorics, Ramsey Theory

## MATHEMATICAL BIOLOGY

**Philip Crooke**

Mathematical Biology

**Glenn Webb**

Mathematical Biology, Population Dynamics, Models of Tumor Growth

## NUMBER THEORY AND ALGEBRAIC GEOMETRY

**Rares Rasdeaconu**

Algebraic Geometry

**Larry Rolen**

Number Theory, Modular Forms, Arithmetic Geometry