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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