Hello! I am a first-year Ph.D. student in the mathematics department at UC Berkeley, where I am currently supported by the Chancellor’s fellowship. 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.

Here is my CV.

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. 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). Available here. (to appear in Proceedings of the 23rd International Conference on Permutation Patterns, 2025).

Preprints

1. The Quaternary Gray Code and How It Can Be Used to Solve Ziggurat and Other Ziggu Puzzles (with Aaron Williams). arXiv:2411.19291. (preprint).
2. 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).