Adrien Abgrall's web page

Postdoc in Orsay

Laboratoire de Mathématiques d’Orsay, Building 307, Office 3P2

adrien.abgrall _ universite-paris-saclay.fr

Cette page en français

a picture of me

Research

I study Geometric Group Theory, more precisely the geometry of CAT(0) cube complexes and the outer space of right-angled Artin groups. I am also interested in Baumslag-Solitar groups and properties of graphs of free groups in general. I am part of ERC project Artin groups, mapping class groups and Out(Fn): from geometry to operator algebras via measure equivalence, led by Camille Horbez. I defended my PhD in June 2025 in Rennes, supervised by Vincent Guirardel.

Publications

Automorphisms of untwisted outer space for right-angled Artin groups, in preparation

Relative untwisted outer space for right-angled Artin groups, preprint, March 2025

Spatial cube complexes, preprint, November 2024

On residual finiteness in graphs of free groups with cyclic edge groups, with Zachary Munro, preprint, October 2024

Teaching

Archive

Mathematical Illustrations

Introductory video (in french) to the mathematics of origami:

The following images come from 3D models and can be rotated to see them from every angle.

Dupin's cyclide, a cubic surface obtained by inverting a torus at one of its points. It contains 4 real lines and each has complement fibered by circles. Flipping the object over corresponds to the automorphism exchanging the two coordinates of the torus.

More to come soon…