Research
Research Interests
My main research interest is geometric group theory. Some aspects I'm interested in include hyperbolicity and its generalisations, CAT(0) cube complexes, Schreier graphs and, more recently, metric groups (see Section 38.2 of this paper).this paper
Papers
- "On subgroups with narrow Schreier graphs", Bull. Lond. Math. Soc., 2024. Journal version, pdf.
- "Perfect kernel and dynamics: from Bass-Serre theory to hyperbolic groups", with Damien Gaboriau, Math. Ann., 2024. Journal version, pdf.
Talks
- Séminaire de l'équipe d'algèbre, topologie et géométrie, Laboratoire J.A. Dieudonné, "Comment trouver des fibres virtuelles", Nice, October 2024.
- Séminaire de Théorie Ergodique, Institut de recherche mathématique de Rennes, "L'espace des sous-groupes : noyau parfait, transitivité topologique et actions moyennables", Rennes, September 2024.
- Algebra Geometry and Topology seminar, Heriot-Watt University, "Narrow graphs and virtual fiber subgroups", Edinburgh, September 2024.
- World of Geometric Group Theory, "A geometric criterion for detecting virtual fiber subgroups", online, September 2024.
- International Young Seminar on Bounded Cohomology and Simplicial Volume, "Topology and dynamics on the space of subgroups", online, May 2024.
- Seminar: GdT Action !, Unité de mathématiques pures et appliquées, "Un critère géométrique pour déterminer si un sous-groupe est une fibre virtuelle", Lyon, March 2024.
- Conference: Rigidité en théorie des groupes : aspects géométriques et ergodiques, Université Paris-Saclay, "Un critère géométrique pour déterminer si un sous-groupe est une fibre virtuelle", Orsay, March 2024.
- Junior Geometry Seminar, University of Cambridge, "Ends of groups and related invariants", Cambridge, February 2024.
- Postgraduate Seminar, Univeristy of Bristol, "Is it trivial? And other difficult problems", Bristol, December 2023.
- Junior Topology and Group Theory Seminar, University of Oxford, "Topology and dynamics on the space of subgroups", Oxford, November 2023.
- Le séminaire virtuel francophone Groupes et Géométrie, "Topologie et dynamique de l'espace des sous-groupes", online, September 2023.
- Conference: Measured Group Theory, Stochastic Processes on Groups and Borel Combinatorics, Centre international de rencontres mathématiques, "Perfect kernels and dynamics: from Bass-Serre theory to hyperbolic groups", Marseille, May 2023.
- Junior Geometry Seminar, Univeristy of Bristol, "Subgroup spaces and actions on trees", Bristol, January 2023.