The Local-Global Conjecture for Apollonian circle packings is false

• With Kate Stange, James Rickards, and Summer Haag
• arXiv | Quanta article | github code | github data | talk | poster
• To appear in Annals of Mathematics

Honors Thesis

• Parameterizations of Descartes Quadruples | CU Scholar
• Advisors: Professor Kate Stange and Professor 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.