Identification and control of infinite dimensional or distributed parameter systems (i.e. partial and functional differential equations) with particular emphasis on approximation and adaptive techniques. Applications to vibration suppression, control of flexible spacecraft and thermo-mechanical systems.

Partial Differential Equations, Nonlinear Dynamics, Fluid Dynamics.


Stochastic Analysis, Stochastic Differential Equations, Stochastic Control Theory, Differential Equations, Mathematical Finance and Actuarial Sciences.

Professor Goldstein’s research is focused on distributional approximation and Stein’s method, sampling schemes in epidemiology, and optimal stopping.