Research

My interests are in diffusion processes, which allows me to study abstract harmonic analysis (integrating over groups!), real analysis, and probability theory. My advisor is David Weisbart. In 2020, Dr. Weisbart, published a paper ([2010.05492] $p$-Adic Brownian Motion is a Scaling Limit (arxiv.org) ) showing that p-adic diffusion is a scaling limit of discrete time random walks. My research is to see what similar processes look like in more specific p-adic settings.