# Research interests

My area of research is algebraic combinatorics. More precisely, I investigate the combinatorial aspects in modular representation theory of reflection groups (and of their associated Hecke algebras), and of finite classical groups. I am in particular interested in the connections with quantum groups, via the theory of crystals and canonical bases. Insofar as possible, I like to use methods from combinatorics on words.

# Research papers

My research articles can also be found on arXiv and on HAL.

1. The 𝔰𝔩 $\mathfrak{sl}_\infty$-crystal combinatorics of higher level Fock spaces. With Emily Norton.
2017. To appear in Journal of Combinatorial Algebra. DOI: 10.4171/JCA/2-y-z.
2. Heisenberg algebra, wedges and crystals.
2016. To appear in Journal of Algebraic Combinatorics. DOI: 10.1007/s10801-018-0820-8.
3. Triple crystal action in Fock spaces.
2016. To appear in Advances in Mathematics. DOI: 10.1016/j.aim.2018.02.030.
4. Branching graphs for finite unitary groups in non-defining characteristic. With Gerhard Hiss.
Comm. Algebra 45 (2016), 561-574
5. Harish-Chandra series in finite unitary groups and crystal graphs. With Gerhard Hiss and Nicolas Jacon.
International Mathematics Research Notices 22 (2015), 12206-12250.
6. Crystal isomorphisms in Fock spaces and Schensted correspondence in affine type A.
Algebras and Representation Theory 18 (2015), 1009-1046.
7. Generalised canonical basic sets for Ariki-Koike algebras.
Journal of Algebra 413 (2014), 364-401.

# PhD thesis

Decomposition matrices for Ariki-Koike algebras and crystal isomorphisms in Fock spaces (available here).
Directed by Cédric Lecouvey and Nicolas Jacon, defended on July 1st, 2014.