Control Theory: Nonlinear & adaptive control. Stabilization of PDEs. Extremum seeking. Delay systems. Stochastic averaging and stabilization in probability. Non-cooperative games.
Applications (click on the link for papers): Fluid/thermal dynamics (flow instabilities and aerodynamic drag, mixing, vortex shedding, jet engine/gas turbine compressors, fluid networks, thermal/flow instabilities, combustion). Fusion/plasmas, magnetohydrodynamics, accelerators, lasers. Source seeking in GPS-denied environments. Locomotion of fish and cells. Automotive engines. Marine vehicles. Aircraft endurance, aircraft wing rock, helicopter noise, satellites. Flexible beams. Biological and chemical reactors.
Erdös number: 3 (via this paper with Ruth Williams)