Laboratoire de Mathématiques d’Orsay, Building 307, Office 2C22
adrien.abgrall _ universite-paris-saclay.fr
Groups and Actions Seminar in Orsay
My CV (last updated September 2026)
Cette page en français
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.
I support this Statement of Inclusiveness.
Algebraic and measurable embeddings between square-free right-angled Artin groups, with Sasha Gurieva and Camille Horbez, 2026, preprint.
Automorphisms of untwisted outer space for right-angled Artin groups, in preparation.
Relative untwisted outer space for right-angled Artin groups, 2025, submitted, preprint, March 2025.
Spatial cube complexes, 2024, submitted, preprint.
On residual finiteness in graphs of free groups with cyclic edge groups, with Zachary Munro, Advances in Mathematics 483 (2025), link.
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…