About me
I am a third-year PhD student in mathematics at the University of Cambridge, under the supervision of Henry Wilton.
My research is in geometric group theory.
More specifically, I am interested in stable commutator length (scl), bounded cohomology, the topology of surfaces, and general notions of hyperbolicity and nonpositive curvature.
Here is a poster explaining the research of my PhD around stable commutator length.
Previous projects have led me to focus on outer automorphism groups of free products, on rigidity of hyperbolic groups, and on Coxeter groups.
I am a co-organiser of the Junior Geometry Seminar at Cambridge, together with Siao Chi Mok. You can subscribe and unsubscribe to the mailing list here. Please speak to either of us if you would like to suggest a speaker or volunteer for a talk!
My office is E0.14 at the Centre for Mathematical Sciences, Cambridge.
Picture by Macarena Arenas.
Papers
Preprints
- From letter-quasimorphisms to angle structures and spectral gaps for scl, 2024
> arXiv
- Bavard duality for the relative Gromov seminorm, 2023
> arXiv
Accepted papers
- Isometric embeddings of surfaces for scl, To appear in Groups Geom. Dyn., 2023
> arXiv
- Free representations of outer automorphism groups of free products via characteristic abelian coverings, J. Group Theory, 2023
> Journal • arXiv
Expository articles
- Makers of patterns: from Escher to Coxeter, Eureka, Issue 66, 2020
> Download
- Géométrie des groupes et courbure négative, Journal de Mathématiques des Élèves de l'ENS de Lyon, Vol. IV, 2020
> Download
Theses and memoirs
- Automorphismes extérieurs de produits libres : revêtements abéliens caractéristiques et représentations libres, Master's thesis, 2021
> Download
-
Rigidity theorems for hyperbolic groups, Cambridge Part III essay, 2020
> Download (or abridged version)
- Topology of complex affine varieties, Master's research internship report, 2019
> Download (or abridged version)
- Geometry of Coxeter groups, Bachelor's research internship report, 2018
> Download (or abridged version)
Teaching
- 2021-.. • Undergraduate supervisions (Trinity College & Peterhouse College, Cambridge)
- 2018-19 • Colles (Lycée Aux Lazaristes, Lyon)
- 2017-21 • French as a foreign language (ItinérENS, Lyon)
Miscellaneous
Lecture notes
During my Bachelor's and Master's studies, I typed lecture notes for the courses I attended.
I am making them available here in the hope that they will be useful to others.
Please note that they may not reflect the contents of the courses, as I have made some modifications.
In particular, all the responsibility for mistakes is mine.
Various notes