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).
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.
BA in Mathematics (Minor in Physics) at UC Berkeley, May 2019
MS in Mathematics at UIUC, August 2021
Awards and Honors
- Math 257 (Linear Algebra with Computational Applications), Fall 2021
- Math 241 (Multivariable Calculus), Spring 2020
- Math 221 (Calculus I), Fall 2019