Contact Information
Coble Hall 1D
PhD Candidate
Research Interests
My research broadly falls within the fields of algebraic topology, algebraic geometry, and homotopy theory. In particular, I am interested in understanding chromatic homotopy theory using tools from spectral arithmetic geometry, such as elliptic cohomology.
Research Description
I am currently working on describing ramified level structures on oriented elliptic curves, 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.
Education
BA in Mathematics (Minor in Physics) at UC Berkeley, May 2019
MS in Mathematics at UIUC, August 2021
Courses Taught
Teaching Assistant:
- Math 257 (Linear Algebra with Computational Applications), Fall 2021
- Math 241 (Multivariable Calculus), Spring 2020 and Fall 2024
- Math 221 (Calculus I), Fall 2019
- Math 285 (Introduction to Differential Equations), Fall 2024
Grading:
- Math 213 (Introduction to Discrete Mathematics), Spring 2020
- Math 347 (Fundamental Mathematics), Fall 2020
- Math 415 (Linear Algebra), Spring 2023
- Math 416 (Abstract Linear Algebra), Spring 2022 and Spring 2023
- Math 417 (Introduction to Abstract Algebra), Fall 2020, Spring 2021, Fall 2022, and Spring 2024
- Math 418 (Introduction to Abstract Algebra II), Spring 2021
- Math 424 (Honors Real Analysis), Fall 2023
- Math 500 (Abstract Algebra I), Fall 2023 and Spring 2024
- Math 511 (Introduction to Algebraic Geometry), Spring 2023
- Math 512 (Modern Algebraic Geometry), Fall 2023
- Math 525 (Algebraic Topology), Spring 2022 and Spring 2023
- Math 526 (Algebraic Topology II), Fall 2023
- Math 540 (Real Analysis), Fall 2022
- Math 541 (Functional Analysis), Spring 2022