I am a first-year Ph.D. student in the mathematics department at UC Berkeley. In 2025, I graduated from the blended BS/MS mathematics degree program at Cal Poly San Luis Obispo, where I was a Frost Research Scholar in the Bailey College of Science and Mathematics. My current research interests are in nonlinear algebra, in particular metric algebraic geometry.

Here is my CV.

Activities

2026

• July 9-11: attending the workshop: An Invitation to Analytics Combinatorics at the MPI MiS.

• May 22-July 31: visiting the Nonlinear Algebra Group of the MPI MiS.

• May 18-22: presenting at Fun with Algorithms conference in Porquerolles, France on my work with Aaron Williams about the Quaternary Gray code and Ziggu puzzles. Read more here.

• April 13-17: visited the Nonlinear Algebra Group of the Max Planck Institute for Mathematics in the Sciences and attended the Workshop on Metric Algebraic Geometry: Starting Local.

Research

I have conducted research into moduli spaces of triangles with Eric Brussel, funded by the Frost Fund in the Cal Poly Bailey College. I have also conducted research into Gray codes, a subject at the intersection of theoretical computer science and discrete mathematics, with Aaron Williams as part of the NSF SMALL REU.

• My master’s thesis, On Diffeomorphism Groups of Surfaces, was advised by Patrick Orson. The slides from my thesis defense are available here. I made this presentation entirely in IPE, inspired by this helpful blog post.
• Eric Brussel advised my undergraduate senior project, On Moduli Spaces of Triangles.

Preprints & Publications

Journal Articles

1. The Torus of Triangles (with Eric Brussel). arXiv:2303.11446. (to appear in Involve, a Journal of Mathematics).

Conference Proceedings

1. The Quaternary Gray Code and Ziggu Puzzles. (with Aaron Williams). Proceedings of the 13th International Conference on Fun with Algorithms, 2026. 10.4230/LIPIcs.FUN.2026.22.
2. Exhaustive Generation of Pattern-Avoiding $s$-Words (with Samuel Buick, Amos Lastmann, Kunal Pal, Helen Qian, Sam Tacheny, Aaron Williams, Leah Williams, and Yulin Zhai). arXiv:2508.16039. (to appear in Proceedings of the 23rd International Conference on Permutation Patterns, 2025).

Preprints

1. The Stack of Triangles Up to Similarity (with Eric Brussel, Elijah Guptill, & Kelly Lyle). arXiv:2408.07792. (preprint, under review).

Posters

1. Three Moduli Spaces of Triangles. (with Eric Brussel, Elijah Guptill, & Kelly Lyle).
2. Poncelet Families and the Triangle of Triangles. (with Eric Brussel).

Teaching

At UC Berkeley:

• Fall 2026: I will be a Berkeley Connect fellow. This is a great mentoring opportunity for Berkeley undergraduate math majors.
• Spring 2026: No teaching, UC Berkeley Chancellor’s fellowship.
• Fall 2025: Graduate Student Instructor (GSI) for Math 51: Calculus I.

During my master’s degree at Cal Poly, I taught as a graduate teaching associate & instructor of record.

• Spring 2025: Math 221: Calculus for Business and Economics
• Winter 2025: Math 118: Precalculus
• Fall 2024: Math 118: Precalculus