Contact Information
Coble Hall 1D
PhD Student
Research Interests
My research broadly falls within the fields of algebraic topology, algebraic geometry, and homotopy theory. In particular, my work concerns elliptic cohomology and understanding it from the perspective of spectral arithmetic geometry.
Research Description
I am currently working on describing level structures on oriented elliptic curves without the level inverted, with the long-term goal of constructing an arithmetically global version of modular-equivariant topological modular forms and understanding the appearance of Langlands-type phenomena in chromatic homotopy theory and quantum 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