Profiles in "Theoretical Mathematics" Expertise Area

  • Fishel studies the combinatorics of Catalan objects, a topic with many wonderful and surprising connections to other areas of math.
  • Kawski develops, and employs, tools from differential geometry and algebraic combinatorics to study nonlinear control systems.
  • Czygrinow works in the area of extremal graph theory.
  • Bremner's research is in the area of Diophantine analysis, which occurs in many areas of pure mathematics and in the last couple of decades has seen applications in cryptography and cybersecurity.
  • Childress works in algebraic number theory and p-adic analysis.
  • Thieme works in the fields of differential, difference and integral equations and of dynamical systems.
  • Jones is an algebraic number theorist interested in number fields, local fields, and Artin representations.
  • Spielberg works in the area of operator algebras, which combines fundamental aspects of algebra and functional analysis. personal webpage: https://math.la.asu.edu/~jss/
  • Kaliszewski has been working to build and understand the theory of operator algebras, and in particular crossed-product C*-algebras.
  • Kierstead's research is in the area of graph theory, especially graph coloring.