activity
20232025
most citedAlgebraic intersection, lengths and Veech surfaces

1 citations · 1 across the 6 of their papers we have counts for

collaborators

6 papers

math.GT2025

The Hurwitz problem for abelian differentials

Julien Boulanger, Rodolfo Gutiérrez-Romo, Erwan Lanneau

Fix . Let be the maximal order of the translation group among all genus- abelian differentials. By work of Schlage-Puchta and Weitze-Schmithüsen, $\mat…

math.GT2025

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

Connection points on double regular polygons

Julien Boulanger

We study connection points on the double regular -gon translation surface, for odd and its staircase model. For , we provide a large family of points with c…

math.GT2024

Algebraic intersections on Bouw-Möller 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.GT2023

Lower bound for KVol on the minimal stratum of translation surfaces

Julien Boulanger

We are interested in the algebraic intersection of closed curves of a given length on translation surfaces. Namely, we study the quantity KVol which measures how many times can two…

math.GT2023★ 1 cited

Algebraic intersection, lengths and Veech surfaces

Julien Boulanger

In this paper, we continue the study of intersections of closed curves on translation surfaces, initiated in by S. Cheboui, A. Kessi and D. Massart for a family of arithmetic Veech…