Alonso Beaumont’s webpage
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Contact

alonso.beaumont [at] univ-rennes.fr
IRMAR, University of Rennes
Building 23, Office 332
Beaulieu Campus
35000 Rennes, France

Alonso Beaumont

PhD Candidate · Mathematics

I am a PhD student under the supervision of Serge Cantat at the University of Rennes, since 2024.

Research

1 — Interests

My research focuses on groups and semigroups of algebraic transformations. In particular, I study semigroups of endomorphisms of projective space, using tools ranging from complex dynamics to arithmetic geometry.
More generally, I'm interested in problems like uniform exponential growth, bounded generation, and the structure of maximal subgroups of finitely generated groups, in a wide range of settings.

2 — Publications

On the centralizers of endomorphisms of the projective line
arXiv preprint arXiv:2512.13523, 2025
ArXiv
A uniform Tits alternative for endomorphisms of the projective line
To appear in Algebra & Number Theory
ArXiv
On the nilpotency of locally pro-p contraction groups
Comptes Rendus. Mathématique, Volume 363 (2025), pp. 267-270
DOI ArXiv

3 — Talks

January 2026
L'alternative de Tits uniforme pour les endomorphismes de la droite projective
Séminaire Virtuel Francophone Groupes et Géométrie
Slides
December 2025
Centralisers of endomorphisms of the projective line
Séminaire de dynamique complexe et algébrique · Paris, France
December 2025
A uniform Tits alternative for endomorphisms of the projective line
Séminaire Groupes et Actions · Orsay, France
October 2025
A uniform Tits alternative for endomorphisms of the projective line
Number Theory Seminar · Pisa, Italy