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Research


Research in the Department of Mathematics and Statistics at Auburn University is undertaken by fifty internationally-recognized faculty members. Fields of study covered include various topics in pure and applied mathematics as well as statistics. Some professors pursue interdisciplinary mathematics as well.

List of Research Fields

  • Actuarial Mathematics
  • Algebra
    • representation theory of groups and Lie algebras
    • abelian groups
    • homological algebra
    • invariant theory
  • Analysis
    • real and complex analysis
    • harmonic analysis
    • approximation theory
    • wavelets
  • Applied Mathematics
  • Discrete Mathematics
    • graph theory
    • design theory
    • coding theory
  • Differential Equations
    • ODEs
      • nonlinear oscillators
      • neural networks
      • stochastic equations
      • equations in Banach spaces
    • PDEs
      • elliptic and parabolic equations
      • reaction-diffusion systems
      • applications in climate modeling, biology, and fluid dynamics
  • Dynamical Systems
    • monotone and skew-product flows
    • complex dynamics
    • symbolic and lattice dynamics
  • Geometry
  • Linear Algebra
  • Numerical Analysis
    • numerical and computational linear algebra
    • numerical and computational PDEs
    • finite-element and finite-difference methods
    • applications in fluid dynamics, elasticity, chemistry, geology, and biology
  • Statistics
  • Stochastic Analysis
  • Topology
    • continuum theory
    • set-theoretic topology
    • algebraic topology

Last Updated: 07/20/2015