Schematic of diffusive search processes in a crowded domain. The blue curve corresponds to the trajectory of the fastest search to one of the targets. We determined the so-called extreme hitting probabilities, which describe the probability that the fastest of many searchers hits a given target. See our paper for details.

My research involves characterizing the speed, geometry, and destination of stochastic search processes.

In particular, I use asymptotic methods to closely approximate statistics of search processes. The value of this work is that these statistics are often mathematically involved or intractable to determine exactly, and need to be computed separately for distinct search processes. In contrast, the results of my work are readily applicable to a wide class of search processes that appear in physics, chemistry, biology, social sciences, and computer science.

Keywords: first passage times, hitting probabilities, stochastic resetting, cover times

Published work can be found on my Google Scholar profile.