Publications
Publications
Cluster structures on schemes of bands.
To appear in Journal of the European Mathematical Society.
With Bernard Leclerc, preprint here.
The minimal monomial lifting of cluster algebras I : application to branching problems.
Advances in Mathematics, Article ID 111102, 98 p. (2026).
Preprint here.
An introduction to (G,c)-bands.
With Bernard Leclerc. Accepted in the proceedings of the XXI International Conference of Representations of Algebras (ICRA 21) - Peer reviewed - preprint here.
🪇 Despite the title, this paper contains new results about discrete analogues of the q-difference Drinfeld-Sokolov reduction, the q-difference Miura transformation, and the proof of a conjeture of Frenkel and Reshetikhin on q-caracters of quantum affine algebras. These results are proved with the tools developed in out paper "Cluster structures on schemes of bands"
Generalised spherical minors and their relations.
Journal of Pure and Applied Algebra, No.7, Article ID 107989, 26 p. (2025).
Preprint here.
On the multiplicity spaces of a spherical subgroup of minimal rank.
Bulletin of the London Mathematical Society, 55, No. 6, 2660-2684 (2023).
With Nicolas Ressayre, preprint here.
Submitted Preprints
Fano compactification of mutation algebras.
With Joshua Enwright, Joaquin Moraga, and Hunter Spink, preprint here.
Cluster structures on Cox rings.
Preprint here.
Intersection multiplicity one for the Belkale-Kumar product in G/B.
With Nicolas Ressayre, preprint here.
PhD Thesis
This text presents several results that have not yet been published in article form. This applies for instance to the results of Chapters 13 and 16 on spherical subgroups of minimal rank, their branching problem, and related cluster algebra structures. The decision to leave these results unpublished for now is intentional, as I chose to focus on developing new research projects during my postdoctoral period, which I considered a more valuable contribution then adapting already existing results in an article form.