Julien Boulanger

collaborators

4 papers

math.GT2026

Algebraic intersections on Bouw-MÃ¶ller surfaces, and more general convex polygons

Julien Boulanger, Irene Pasquinelli

This paper focuses on intersection of closed curves on translation surfaces. Namely, we investigate the question of determining the intersection of two closed curves of a given len…

math.GT2026

Algebraic interaction strength for translation surfaces with multiple singularities

Julien Boulanger

We compute the maximal ratio of the algebraic intersection of two closed curves on two families of translation surfaces with multiple singularities. This ratio, called the interact…

math.GT2025

The Hurwitz problem for abelian differentials

Fix $g \geq 2$ . Let $t (g)$ be the maximal order of the translation group among all genus- $g$ abelian differentials. By work of Schlage-Puchta and Weitze-SchmithÃ¼sen, $\ma…

math.GT2025

Connection points on double regular polygons

Julien Boulanger

We study connection points on the double regular $n$ -gon translation surface, for $n \geq 7$ odd and its staircase model. For $n \neq = 9$ , we provide a large family of points with c…