Contact Information
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
My current research concerns isogenies of oriented elliptic curves and the construction and properties of Hecke operators on elliptic cohomology. Ultimately, I hope to develop a theory of topological modular Galois representations, which will play a role in the Chromatic Langlands Program.
Education
BA in Mathematics (Minor in Physics) at UC Berkeley, May 2019
MS in Mathematics at UIUC, August 2021
Grants
In the academic year 2026–2027, I am being supported by the Illinois Campus Research Board's grant RB26035.
Courses Taught
Teaching Assistant:
- Math 221 (Calculus I), Fall 2019
- Math 234 (Calculus for Business), Spring 2026
- Math 257 (Linear Algebra with Computational Applications), Fall 2021
- Math 241 (Multivariable Calculus), Spring 2020, Fall 2024, and Fall 2025
- 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