Adrien Abgrall's web page

PhD Student in math at IRMAR

Rennes 1 University, Beaulieu Site, Building 23, Office 334

adrien.abgrall _ univ-rennes1.fr

Cette page en français

Research

I study Geometric Group Theory, more precisely the geometry of CAT(0) cube complexes and the outer space of right-angled Artin groups, supervised by Vincent Guirardel. I am also interested in Baumslag-Solitar groups and general graphs of free groups.

Publications

Cubical collapses and untwisted outer space, in preparation

Untwisted McCool groups for right-angled Artin groups are Type VF, in preparation

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

Teaching

• Spring 2024 TA for Calculus II MIASHS: the course's webpage
• Spring 2023 TA for Calculus II MIASHS: the course's webpage
• Fall 2022 TA for MAT1 SVE: the course's webpage

Archive

• My résumé
• Introduction to my research field (written 2022 for my ENS diploma): Géométries des groupes d’automorphismes extérieurs (in french)
• Master's thesis (2021): Outer space for right-angled Artin groups
• Bachelor Thesis, with Maxime Ramzi (2018) : Dynamique topologique et théorie de Ramsey (in french)
• A list of false theorems (find counterexamples!)

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…