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)

Algebraic Geometry

  • Morgan Brown, Algebraic Geometry
  • Bruno de Oliveira, Algebraic Geometry
  • Andrew Harder, Algebraic Geometry, Homological Mirror Symmetry
  • 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
  • Vladimir Vega, Non-commutative 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
  • Jing Chen, Mathematical Epidemiology, Population Biology
  • Chris Cosner, Partial Differential Equations and 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
  • Xiao Yu, Dynamical Systems

Mathematical Finance

  • Hamed Amini, Probability, Mathematical Finance, Discrete Mathematics

Probability

Representation Theory

Topology

  • Nima Anvari, Low-Dimensional Topology, Gauge Theory
  • Ken Baker, Low Dimensional Topology
  • Marvin Mielke, Algebraic and Categorical Topology
  • Manuel Rivera, String Topology
  • Nikolai Saveliev, Low Dimensional Topology, Gauge Theory