About Me
I am a third-year Ph.D. candidate at the University of Michigan.
Research Interests
I'm interested in commutative algebra and algebraic geometry in positive characteristic. My thesis advisor is Karen Smith.
Preprints and Publications
- F-purity deforms to perfectoid purity in Gorenstein domains, with K. Dovgodko, A. Simpson, and J. Westbrook. Preprint, 2025.
- Classification of Minimal Singularity Thresholds. Preprint, 2025.
- F-Pure Thresholds of Equigenerated Ideals. Preprint, 2025.
- Strength, Partition Rank, and Algebraic Closure., with A. Lampert. Preprint, 2024.
Undergraduate Research
- Irreducibility over the Max-Min Semiring, with J. Dell, H. L. Fleischmann, F. Jackson, S. J. Miller, E. Pesikoff, L. Reifenberg. Journal of Integer Sequences, 2025.
- Completions of Countable Excellent Rings in Equal Characteristic Zero, with S. Loepp. Journal of Algebra and its Applications, 2024.
- The Bergman Game, with J. Dell, I. Durmić, H. L. Fleischmann, F. Jackson, I. Mijares, S. J. Miller, E. Pesikoff, L. Reifenberg, A. S. Reina, Y. Yang. Conference proceedings of the 20th International Conference on Fibonacci Numbers and Their Applications, 2022.
Teaching
- Math 115 (Calculus 1): Fall 2022, Winter 2023, Fall 2023, Winter 2024, Summer 2024