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