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.