Main main focus right now is the mathematical foundation of machine learning. In particular, I am interested studying the expressivity of different neural networks architectures through the lense of algebraic geometry. Through this procedure, the entire family of classical algebraic geometry objects are showing up. In particular, Waring ranks, Chow varieties, Adelic Grassmannians are given as the neural networks with some fixed architectures. If you want to learn more about my research, please check out my research page.

I see teaching math as one of the way to share my appreciation of mathematical thinking with others. Here is my teaching statement. Please follow this link to learn more about my teaching experience.

Outside of school, I am passionate about experimental film, nature exploration, reading, and volunteering. In particular, I have founded a 501(c)(3) non-profit organization Support Ukraine With Us.