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Smith's research focuses on differential equations, dynamical systems, and their applications to the biological sciences.

Thieme works in the fields of differential, difference and integral equations and of dynamical systems.

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.

Research interests: 3D Navier-Stokes & Maxwell equations, 4D Spacetime dynamic Doppler theory and relativistic effects, physics-informed AI/ML computational modeling and stochastic theory of electromagnetic wave propagation

Quigg’s research is in the area of C*-algebras.The area of C*-algebras has has been applied to such diverse areas as dynamical systems, quantum field theory, wavelets, and number theory.

Suslov studies the mathematical foundations that underlie much of theoretical physics including relativity, quantum mechanics, wave phenomenon, and optics.