Our Department has over 25 professors pursuing research and providing instruction in mathematics. We are well-represented in many areas of mathematics and many of the faculty hold federally funded grants.

### Research Groups

#### Algebraic and Geometric Combinatorics (seminar)

**Drew Armstrong**, Algebra, Combinatorics, Geometry, Foundations, History of Math**Bruno Benedetti**, Geometric Combinatorics**Richard P. Stanley**, Algebraic and Geometric Combinatorics**Michelle Wachs**, Algebraic and Geometric Combinatorics

#### Algebraic Geometry

**Morgan Brown**, Algebraic Geometry**Bruno de Oliveira**, Algebraic Geometry**Benjamin Gammage**, Algebraic Geometry, Symplectic Geometry, Mathematical Physics**Richard Horja**, Algebraic Geometry, Homological Mirror Symmetry**Shulim Kaliman**, Complex Analysis and Algebraic Geometry**Ludmil Katzarkov**, Algebraic Geometry, Symplectic Geometry, Mathematics of String Theory**Maxim Kontsevich**, Mathematical Physics, Noncommutative Algebra, Algebraic Geometry**Tokio Sasaki**, Algebraic Geometry**Kyoung-Seog Lee**, Algebraic Geometry

#### Analysis

**Lev Kapitanski**, Nonlinear Evolution Equations, Variational Problems with Topological Constraints, Control of Mechanical Systems, Mathematics of Vision, Mathematical Genetics**Alan Zame**, Analysis, Probability

#### Differential Geometry

**Ming-Liang Cai**, Differential Geometry**Gregory J. Galloway**, Differential Geometry, General Relativity**Pengzi Miao**, Differential Geometry, General Relativity

#### Dynamical Systems

**Brian Coomes**, Differential Equations, Dynamical Systems**Hüseyin Koçak**, Dynamical Systems, Scientific Computing**Shigui Ruan**, Differential Equations, Dynamical Systems, Mathematical Biology

#### Mathematical Biology

**Robert Stephen Cantrell**, Mathematical Ecology, Nonlinear Analysis and Partial Differential Equations**Chris Cosner**, Partial Differential Equations and Mathematical Biology**Ting-Hao Hsu**, Differential Equations, Dynamical Systems**Lev Kapitanski**, Nonlinear Evolution Equations, Variational Problems with Topological Constraints, Control of Mechanical Systems, Mathematics of Vision, Mathematical Genetics**Shigui Ruan**, Differential Equations, Dynamical Systems, Mathematical Biology**Xiao Yu**, Dynamical Systems

#### Mathematical Finance

#### Probability

**Ilie Grigorescu**, Probability, PDE**Victor C. Pestien**, Probability, Optimization**Subramanian Ramakrishnan**, Probability, Statistics

#### Representation Theory

**Alexander Dvorsky**, Representation Theory, Lie Groups

#### Topology

**Ken Baker**, Low Dimensional Topology**Marvin Mielke**, Algebraic and Categorical Topology**Nikolai Saveliev**, Low Dimensional Topology, Gauge Theory**Christopher Scaduto**, Low Dimensional Topology, Gauge Theory, Floer Homology