Math Department Research

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

• Enrique Becerra, Algebraic Geometry
• Morgan Brown, Algebraic Geometry
• Bruno de Oliveira, Algebraic Geometry
• 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
• Kyoung-Seog Lee, Algebraic Geometry
• Artan Sheshmani, Algebraic Geometry, GW/DT Theory, Derived Algebraic Geometry, Mathematics of String Theory
• Mina Teicher, Algebraic Geometry, Computer Vision, Cryptography and Cyber Security, Computational Neuroscience, Complex Systems, Mathematical Education, Technology Transfer from Academia to Industry, Advancement of Women in Science
• Yixian Wu, Algebraic Geometry, Mirror Symmetry

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 (seminar)

• Ming-Liang Cai, Differential Geometry
• Da Rong Cheng, 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
• Xi Huo, Mathematical Biology
• 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

Mathematical Finance

• Bahman Angoshtari, Probability, Mathematical Finance, Stochastic Control

Probability

• Bahman Angoshtari, Probability, Mathematical Finance, Stochastic Control
• 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
• Nikolai Saveliev, Low Dimensional Topology, Gauge Theory
• Christopher Scaduto, Low Dimensional Topology, Gauge Theory, Floer Homology