activity
20042026
most citedMultiplicities of simple closed geodesics and hypersurfaces in Teichmüller space

20 citations · 169 across the 52 of their papers we have counts for

collaborators

68 papers

cs.RO2026

NeuralParker: A Reinforcement Learning Planner for Irregular Parking Environments

Zihan Wang, Bai Huang, Yang Guan +4

Automated parking commonly assumes marked slots and short approach maneuvers. Delivery and service vehicles, however, may need to reach an operator-specified pose in an irregular b…

math.GT2025

Ordering curves on surfaces

Hugo Parlier, Hanh Vo, Binbin Xu

We study the order of lengths of closed geodesics on hyperbolic surfaces. Our first main result is that the order of lengths of curves determine a point in Teichmüller space. In an…

math.GT2023

Smoothing curves carefully

Hugo Parlier

This paper proves an elementary topological fact about closed curves on surfaces, namely that by carefully smoothing an intersection point, one can reduce self-intersection by exac…

math.GT2023

A topological viewpoint on curves via intersection

Hugo Parlier, Binbin Xu

This paper explores the relationship between closed curves on surfaces and their intersections. Like Dehn-Thurston coordinates for simple curves, we explore how to determine closed…

math.GT2023

Counting geodesics between surface triangulations

Hugo Parlier, Lionel Pournin

Given a surface equipped with a set of marked points, we consider the triangulations of with vertex set . The flip-graph of whose vertices are these triangulatio…

math.GT2023★ 5 cited

A shorter note on shorter pants

Hugo Parlier

This note is about variations on a theorem of Bers about short pants decompositions of surfaces. It contains a version for surfaces with boundary but also a slight improvement on t…