Research
- Modular representation of finite groups.
With a particular interest in Broué's abelian defect group conjecture (see here for more details). - Categories of Mackey functors and biset functors.
- Quasi-hereditary algebras and highest-weight categories.
- Derived categories associated to finite posets.
Publications
- Equivalences between blocks of cohomological Mackey algebras
(ArXiv)
Math. Z. 280 (2015), no 1-2, 421-449. - Equivalences between blocks of p-local Mackey algebras
(ArXiv)
J. Algebra 428 (2015), 205-229. - Trace maps for Mackey algebras
(ArXiv)
J. Algebra 426 (2015), 288-312. - Quasi-hereditary property of double Burnside algebras (ArXiv)
Comptes Rendus Mathématique. Vol 353, Issue 8, August 2015, pages 689-693. - On Morita and derived equivalences for cohomological Mackey
algebras (ArXiv) With
Markus Linckelmann.
Math. Z. 289 (2018), 39--50. - On the wildness of Cambrian lattices (ArXiv) With
Frédéric Chapoton.
Accepted for publication in Algebras and Representation Theory (2018) - Around evaluations of biset functors
(ArXiv)
Accepted for publication in Annales de l'Institut Fourier (2018) - Exceptional and modern intervals of the Tamari lattice (ArXiv)
Accepted for publication in Le Séminaire Lotharingien de Combinatoire (2019)
Pre-publications
-
On derived equivalences for the poset of generalized intervals (ArXiv) With Frédéric Chapoton and Sefi Ladkani.
Preprint (2018) -
The bounded derived categories of the Tamari lattices are fractionally Calabi-Yau(ArXiv)
Preprint (2018) - Combinatorics of faithfully balanced modules(ArXiv) With William Crawley-Boevey, Biao Ma and Julia Sauter.
Preprint (2019)
Translations: fr