Hello! 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. I have broad mathematical interests, ranging from algebraic topology to theoretical computer science. I am very passionate about mathematics communication. In my free time, I enjoy hiking and exploring the outdoors of the beautiful coast of California.

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.

Preprints & Publications

Journal Articles

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

Conference Proceedings

  1. Exhaustive Generation of Pattern-Avoiding s-Words (with S. Buick, A. Lastmann, K. Pal, H. Qian, S. Tacheny, A. Williams, L. Williams, and Y. Zhai). Available here. (to appear in Proceedings of the 23rd International Conference on Permutation Patters, 2025).

Preprints

  1. The Quaternary Gray Code and How It Can Be Used to Solve Ziggurat and Other Ziggu Puzzles (with A. Williams). arXiv:2411.19291. (preprint).
  2. The Stack of Triangles Up to Similarity (with E. Brussel, E. Guptill, & K. Lyle). arXiv:2408.07792. (preprint, under review).

Posters

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

Some favorites

In no particular order…