Welcome to my GitHub academic webpage!

I am currently a doctoral candidate in Mathematics at SUNY: Stony Brook University under the direction of Dror Varolin, expecting to graduate in May of 2021. My area of interest is several complex variables, and so I am broadly interested in (complex) analysis, (complex) differential geometry and partial differential equations. More specifically, my research has been centered around the use of \(L^2\) estimates and existence theorems for the \(\bar{\partial}\)-operator which originated with Hörmander. These theorems have a tremendous range of applications in various areas of mathematics!

My work has been focused on a twisted variant of Berndtsson’s complex Brunn-Minkowski theory. I am also interested in probability theory and statistical learning. For more details, visit my research page.