About Me

I obtained my PhD in mathematics at Montana State University in May 2021. I was supervised by David Ayala and Ryan Grady. In Spring 2020, I was a visiting student at the University of Montpellier, France under Damien Calaque.

As an undergraduate I conducted research in both quantum computing under Chi-Kwong Li and computational methods in data science under Sarah Day at the College of WIlliam and Mary. Throughout my graduate studies, I used mathematical and statistical techniques, in particular topological data analysis (TDA), to solve problems in mathematics, applied mathematics, and mathematical biology.

My doctoral work centered around the interface of algebraic topology and mathematical physics. In particular, I proved an additivity result for factorization algebras, and I computed the integral cohomology of real Grassmannians using techniques of stratified spaces. Check out this video to see my doctoral defense in which I discuss the additivity results.

Apart from mathematics, I particularly enjoy running and climbing in the mountains, as well as other forms of existing in nature.

 

Check out the cochain complex of the Grassmannian of 6-planes in 12-dimensional Euclidean space!

                         Cohomology