## 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 chromatic Langlands program. My immediate goals are twofold. Firstly, I aim to construct an integral version of modular-equivariant tmf and TAF, potentially making use of the theory of global power operations. Secondly, I am working on using trace methods and topological cyclic homology to provide a cohesive description of the ramification phenomena relating transchromatic homotopy, class field theory, and conformal field theory.

## 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