The main focus of my research has been asymptotic problems arising from Branching Processes, Branching Diffusions and related Dynamical Systems. The central theme in most of my work is the use of spectral theory in addition with techniques from probability, parabolic partial differential equations, homogenization theory and dynamical systems to obtain the asymptotics of these stochastic processes that are valid up-to the domain of large deviations. My research so far can be divided into three separate projects (that have produced the following three papers).

My advisor is Dr. Leonid Koralov .