My research area is representation theory, mainly the qualitative aspect of branching problems in representation theory. I use algebraic geometry and combinatorial tools (Littelmann path theory). In this field, I defended my thesis in 1995 under the supervision of
Michel Brion. later, I have collaborated with
Nicolas Ressayre and
Boris Pasquier.
More recently, I have worked on the classification of some Fano varieties: first (in collaboration with
Alvaro Rittatore), the toric Fano varieties whose fan is built from a system of roots, now the spherical Fano varieties of small dimension: with
Thibaut Delcroix), in a preprint now on ArXiv (
Spherical actions on locally factorial Fano varieties of dimension ≤ 4 and rank ≤ 2) we give the list of spherical Fano varieties of dimension at most 4 and rank at most 2. This list can be found
here.
Until January 2025, I am on delegation to the CNRS, and I will be spending several weeks in Montevideo as part of the new Franco-Uruguayan IRL
Laboratoire de la Plata to collaborate with
Ivan Pan and
Alvaro Rittatore. We will be finalising work on the group of automorphisms of a simple derivation of affine space.
- My list of publications is available on: zbMATH.
- The preprint version of these publications can be downloaded from:
HAL.
My most recent completed work in collaboration with Alvaro Rittatore is entitled
Gorenstein Fano Generic Torus Orbits closure in . In this work, we give the list of complete homogeneous spaces
such that the generic torus orbit closure of the maximal torus
is a Gorenstein-Fano variety. This article appeared (online) in the
Journal of Algebraic Combinatorics.
- The slides used for a presentation of our results in Lyon at the Algebra seminar in spring 2022.
In the first version of this work, the classification in exceptional cases was done with a small script using the SageMath software and Gap3. Even if it is now useless, I leave this script at disposal for the possible curious.
