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Home > Academics > Divisions > Mathematics and the Natural Sciences > Mathematics > Research > Research Areas
Research


Areas of Research

Algebra and Number Theory

  • Chr​istopher Hanusa: algebraic and enumerative combinatorics, graph theory, integer sequences, applications to the social sciences
  • Steven Kahan: number theory, recreational mathematics
  • Krzysztof Klosin: algebraic number theory, Galois representations, automorphic forms, special L-values, modularity
  • Kenneth Kramer: algebraic number theory and arithmetic geometry
  • Alexey Ovchinnikov: differential algebra, symbolic computation
  • Maria Sabitova: arithmetic geometry, representation theory, algebraic number theory
  • John Terilla: operads, deformation theory, quantum field theory, algebraic topology
  • Scott Wilson: topology and geometry, applications to physics

Analysis, Real and Complex

  • Jozef Dodziuk: relations between analysis, topology, and geometry for manifolds, cell complexes and graphs
  • Wallace Goldberg: analysis, applied mathematics, differential equations, mathematical biology
  • Yunping Jiang: low-dimensional dynamical systems, quasiconformal mappings and Teichmuller theory and Riemann surfaces, thermodynamical formalism and dynamical zeta functions, smooth dynamical systems and ergodic theory
  • Sudeb Mitra: complex analysis, Teichmuller spaces.
  • Stefan Ralescu: decision theory, admissibility, minimaxity, Stein estimation, nonparametric inference, asymptotic approximations in statistics, empirical and quantile pocesses.
  • Dragomir Saric: complex analysis, differential and Riemannian geometry, dynamical systems, mathematical physics, topology
  • Norman Weiss: real, harmonic and functional analysis
  • Saeed Zakeri: dynamical systems, complex analysis, quasiconformal mappings

Applied Mathematics

  • Wallace Goldberg: analysis, applied mathematics, differential equations, mathematical biology
  • Fei Liu: Bayesian analysis, Design and analysis of computer experiments, High dimensional data analysis, and Applied statistics
  • Stefan Ralescu: decision theory, admissibility, minimaxity, Stein estimation, nonparametric inference, asymptotic approximations in statistics, empirical and quantile pocesses
  • Fern Sisser: non-linear programming, optimization

Combinatorics

    • Christopher Hanusa: algebraic and enumerative combinatorics, graph theory, integer sequences, applications to the social sciences
    • Joseph Kahane: combinatorics, combinatorial games, mathematical physics

    Dynamical Systems

    • Yunping Jiang: low-dimensional dynamical systems, quasiconformal mappings and Teichmuller theory and Riemann surfaces, thermodynamical formalism and dynamical zeta functions, smooth dynamical systems and ergodic theory
    • Michael Maller: computational complexity and dynamical systems
    • Dragomir Saric: complex analysis, differential and Riemannian geometry, dynamical systems, mathematical physics, topology
    • Saeed Zakeri: dynamical systems, complex analysis, quasiconformal mappings

    Geometry and Topology

    • Jozef Dodziuk: relations between analysis, topology, and geometry for manifolds, cell complexes and graphs
    • Dan Lee: differential and Riemannian geometry, general relativity
    • Dragomir Saric: complex analysis, differential and Riemannian geometry, dynamical systems, mathematical physics, topology
    • John Terilla: operads, deformation theory, quantum field theory, algebraic topology
    • Scott Wilson: topology and geometry, applications to physics

    Logic, Computability and Complexity

    • Russell Miller: computability theory and its applications to model theory and algebra
    • Michael Maller: computational complexity and dynamical systems
    • Alexey Ovchinnikov: differential algebra, symbolic computation

    Mathematics Education

    • Alan Sultan

    Mathematical Physics

    • Joseph Kahane: combinatorics, combinatorial games, mathematical physics
    • Dan Lee: differential and Riemannian geometry, general relativity
    • Dragomir Saric: complex analysis, differential and Riemannian geometry, dynamical systems, mathematical physics, topology
    • John Terilla: operads, deformation theory, quantum field theory, algebraic topology
    • Scott Wilson: topology and geometry, applications to physics
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