
Contact Information
Research Interests
My research generally concerns algebraic topology, algebraic geometry, and homotopy theory. I am particularly interested in chromatic homotopy theory and its relationship to higher algebra and arithmetic geometry. I also have a broad interest in geometry done from an ∞-categorical perspective (e.g. spectral algebraic geometry), and a somewhat more narrow interest in quantum field theory (especially as it relates to chromatic homotopy).
Research Description
I am currently working on a program for arithmetic globalization in chromatic homotopy. There are multiple approaches to this, including a chromatic Langlands program and arithmetically global Brown-Peterson spectra. At the moment, I am putting together a formalism for equivariant spectral stacks with the aim of constructing equivariant topological automorphic forms.
Education
BA in Mathematics (Minor in Physics) at UC Berkeley, May 2019
MS in Mathematics at UIUC, August 2021
Awards and Honors
Courses Taught
- Math 257 (Linear Algebra with Computational Applications), Fall 2021
- Math 241 (Multivariable Calculus), Spring 2020
- Math 221 (Calculus I), Fall 2019