Symmetries in Apollonian circle packings (Submitted)

The Local-Global Conjecture for Apollonian circle packings is false

• With Kate Stange, James Rickards, and Summer Haag
• Annals of Mathematics (2) 200(2): 749-770 (September 2024)
• Journal | arXiv | Quanta article | github code | github data | talk | poster

Honors Thesis

• Parameterizations of Descartes Quadruples | CU Scholar
• Advisors: Professors Kate Stange and James Rickards
• Defense: April 10, 2024 | slides

High School

• May 2021: An Introductory Exploration of Diophantine Equations. This paper served as my IB Math HL Internal Assessment. This was the first time I used LaTeX!
• October 2020: Buffon’s Needle. My IB extended essay. This was my first ever math paper, and yes, I wrote it in google docs.