3 papers
math.HO2026
A Human Story of Curiosity and Relevance
Claire Burrin
Mathematics is changing. Computers are verifying proofs, checking calculations, and exploring complex structures that would overwhelm human effort. Yet curiosity-driven research is…
math.GT2025
Modular systoles are extremal for the crossing number
Claire Burrin, Hugo Parlier
We study crossing numbers for systoles of congruence surfaces. Taken as a family of curves on a family of surfaces, we show that the growth rate of their intersection is optimally…
math.DS2025
The Brjuno and Wilton Functions
Claire Burrin, Seul Bee Lee, Stefano Marmi
The Brjuno and Wilton functions bear a striking resemblance, despite their very different origins; while the Brjuno function is a fundamental tool in one-dimensional holomor…