Research

Research Interests

My research is in geometric group theory. At the moment, I am particularly interested in groups which act on median spaces, especially real trees. Other aspects which interest me include hyperbolicity and its generalisations, CAT(0) cube complexes and Schreier graphs.

Papers

Talks

  • Conference on hyperbolicity and generalizations, HIT, "A guide to constructing free transitive actions on median spaces", Harbin, June 2025.
  • Junior Geometry Seminar, University of Bristol, "Real trees and the groups that act on them", Bristol, February 2025.
  • RSME's 7th congress of young reseqrchers, parallel session on geometric group theory, UPV/EHU "Narrow graphs and virtual fiber subgroups", Bilbao, January 2025.
  • Séminaire d'Algèbre d'Opérateurs, IMJ-PRG, "Comment repérer des fibres virtuelles", Paris, December 2024.
  • 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.