Faculty Research Areas in the Field of Mathematics

(Home departments are indicated in parentheses for faculty who are not in the Department of Mathematics.)

Algebra

Analysis

Combinatorics

Differential Equations / Dynamical Systems

Differential Geometry

Geometry

  • Robert Connelly - Discrete geometry, computational geometry and the rigidity of discrete structures
  • Edward Swartz - Combinatorics and discrete geometry

Interdisciplinary

  • R. Keith Dennis - Commutative and non-commutative algebra, algebraic K-theory, group theory, mathematical bibliography
  • Timothy Healey - Nonlinear elasticity, nonlinear analysis, partial differential equations
  • Dexter Kozen (Computer Science) - Computational theory, computational algebra and logic, logics and semantics of programming languages
  • Anil Nerode - Mathematical logic, computability theory, computer science, mathematics of AI, control engineering, quantum control of macroscopic systems
  • Richard Rand - Nonlinear dynamics
  • James Renegar (OR&IE) - Optimization algorithms
  • Steven Strogatz - Nonlinear dynamics applied to physics, biology, and social science
  • Alexander Vladimirsky - Numerical methods, dynamical systems, nonlinear PDEs, control theory

Lie Groups

Logic

  • Meghan Anderson - Model Theory and Mathematics Education
  • Dexter Kozen (Computer Science) - Computational theory, computational algebra and logic, logics and semantics of programming languages
  • Justin Moore - Set theory, mathematical logic, and set theoretic topology
  • Anil Nerode - Mathematical logic, computability theory, computer science, mathematics of AI, control engineering, quantum control of macroscopic systems
  • Richard A. Shore - Mathematical logic, recursion theory, effective and reverse mathematics, set theory

Mathematical Physics

  • Yuri Berest - Mathematical physics and algebraic geometry
  • Leonard Gross - Functional analysis, constructive quantum field theory
  • Nicolas Templier - Number theory, automorphic forms, and mathematical physics

PDE / Numerical Analysis

Probability

Statistics

Topology