Research

Doctorat

J'ai soutenu avec succès ma thèse le 18 octobre 2023, à l'Uiversité Paris-Saclay. Voici le manuscrit, et les slides.

Monoid representation theory

- Computing character tables and Cartan matrices of finite monoids with fixed point counting (submitted to Journal of Symbolic computations, status: major revisions)

- Accompanying software for monoid character table and Cartan matrix computation

Coxeter groups and Shi arrangements

- Low elements and small inversion sets are in bijection in rank 3 Coxeter groups (accepted as poster contribution to FPSAC 2021, published in Séminaire Lotharingien de Combinatoire 85B)

- A description of the minimal elements of Shi regions in classical Weyl Groups (accepted as poster contribution to FPSAC 2022, published in Séminaire Lotharingien de Combinatoire 86B)

- Minimal elements of Shi regions in affine Weyl groups This is largely an extended version of the FPSAC 2022 contribution, with a type free proof and an application to low elements in Weyl groups (redaction to be finalized, read at your own risks)

A long time ago, in a galaxy far away...

- Image inpainting by graph-cuts (in french) L3 internship at ENS Cachan under the direction of Gabriele Facciolo et Lara Raad, joint work with Rémi Goudey and Guillaume Ballif.