Mittelmann's research interests are in numerical optimization and its application to science and engineering, especially the optimization of electrical grids assuming alternating current and the addition of renewable energy.

Kuang is the author or co-author of over 209 refereed publications and 2 major textbooks in mathematical biology. He has done extensive work in developing data-based differential equation models in biology and medicine.

Jones studies partial differential equations (PDEs) associated with geophysical fluids. That is, equations resulting from the modeling of the atmosphere, ocean, and interiors of planets.

Armbruster is interested in mathematical modeling: Collective behavior of swarms, disaster recovery, production flow in semiconductor factories, signal pathways, and analysis of the evolution of ant colonies.

Milner studies structured population models, including demography, epidemics, ecology, and tumor growth as well as how to dispel misconceptions in school mathematics.

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.

Lopez conducts research in two broad areas: Rotation and buoyancy dominated flows and Interfacial hydrodynamics.

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

Nikitin’s research is focused on optimization, control, automation and related computational methods.