Research

Research activities and interests in the department encompass many areas of mathematics; below is a listing of the heavily represented areas in the department. Clicking on a person's name leads to their home page, while clicking on the research group's name leads to the group's home page.

Algebra and Number Theory

  • Datskovsky, Boris: algebraic number theory, analytic number theory, modular forms.
  • Dolgushev, Vasily: noncommutative geometry, homological algebra, category theory and mathematical physics.
  • Knopp, Marvin: modular functions and forms.
  • Letzter, Edward: noncommutative algebra.
  • Lipschutz, Seymour: combinatorial group theory, mathematical logic.
  • Lorenz, Martin: noncommutative ring theory, representation theory, invariant theory, algebraic K-theory.

Analysis

Applied Mathematics

  • Chidyagwai, Prince: discontinuous Galerkin methods, computational fluid dynamics, flow and transport in porous media.
  • Grabovsky, Yury: calculus of variations, continuum mechanics, homogenization, phase transitions.
  • Seibold, Benjamin: computational partial differential equations, numerical analysis.
  • Szyld, Daniel: numerical analysis and scientific computing, numerical linear algebra.
  • Xue, Fei: numerical Analysis of large linear systems and eigenvalue problems.

Geometry & Topology

  • Atkinson, Christopher: low-dimensional topology, hyperbolic geometry,polyhedra.
  • Futer, David: knot theory, hyperbolic geometry, low-dimensional topology.
  • Malestein, Justin: low-dimensional geometry/topology, mapping class groups, rigidity.
  • Nakamura, Kei: low-dimensional topology and geometric group theory.
  • Rivin, Igor: geometry, dynamical systems, combinatorics, group theory, crystallography.
  • Theran, Louis: combinatorics, geometry, rigidity, matroids, algorithms.

History of Mathematics

Probability