# Welcome to my GitHub academic webpage! This is my first attempt at building some sort of website.

I am currently a doctoral student in Mathematics at SUNY: Stony Brook University under the direction of Dror Varolin. 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, I am exploring \(L^2\) estimates and existence theorems for the \(\bar{\partial}\)-operator which originated with HÃ¶rmander. These theorems have a tremendous range of applications in various areas of mathematics!

My current work focuses on the Nakano-positivity of holomorphic Hilbert bundles and applications.

(This site is still under construction.)