I work in modular representation theory of finite reductive groups (such as GL_{n}(q), Sp_{2n}(q),...).
I am particularly interested in the modular Deligne-Lusztig theory and the geometric version of Broué's abelian defect group conjecture.

- Translation by the full twist and Deligne--Lusztig varieties,
*preprint*, 2018 (with C. Bonnafé and R. Rouquier).

- Categorical actions on unipotent representations of finite unitary groups,
*Publications Mathématiques de l'IHES*, 2019 (with M. Varagnolo and É. Vasserot). - Non-uniqueness of supercuspidal support for finite reductive groups. Appendix to the article
*Simple subquotients of big parabolically induced representations of p-adic groups*by J.-F. Dat, to appear in*J. Algebra*, 2018 - Bounding Harish-Chandra series, accepted in
*Transactions of the AMS*, 2018 (with G. Malle). - Brauer trees of unipotent blocks, accepted in
*JEMS*, 2018 (with D. Craven and R. Rouquier). - Alvis-Curtis duality for finite general linear groups and a generalized Mullineux involution,
*SIGMA*14, 2018 (with N. Jacon). - Lectures on modular Deligne-Lusztig theory, to appear in the
*EMS Series of Lectures in Mathematics*, 2018. - Splendeur des variétés de Deligne-Lusztig, d'après Deligne-Lusztig, Broué, Rickard, Bonnafé-Dat-Rouquier, Séminaire Bourbaki, Exp. 1137, to appear in
*Astérisque*, 2017.*[You can watch the talk here]* - Modular irreducibility of cuspidal unipotent characters,
*Invent. Math.*(211), 2018, 579--589 (with G. Malle). - Categorical actions from Lusztig induction and restriction on finite general linear groups in Representation theory - current trends and perspectives, 59--74, EMS Ser. Congr. Rep., Eur. Math. Soc., Zürich, 2017 (with M. Varagnolo and É. Vasserot).
- Categorical actions on unipotent representations of finite classical groups in Categorification and higher representation theory, 41--104, Contemp. Math. (683), Amer. Math. Soc., Providence, RI, 2017 (with M. Varagnolo and É. Vasserot).
- Decomposition matrices for exceptional groups at d=4,
*J. Pure Appl. Algebra*(220), 2016, pp 1096--1121 (with G. Malle). - Decomposition matrices for low rank unitary groups,
*Proc. London Math. Soc.*(110), 2015, pp 1517--1557 (with G. Malle). - Projective modules in the intersection cohomology of Deligne--Lusztig varieties,
*C. R. Acad. Sci.*, 2014 (with G. Malle).*[I gave a talk about this here]* - Cohomology of Deligne-Lusztig varieties for unipotent blocks of GL
(_{n}*q*),*Represent. Th.*(17), 2013, pp 647--662. - A note on decomposition numbers for groups of Lie type of small rank ,
*J. Algebra*(388), 2013, pp 364--373. - Coxeter orbits and Brauer trees III,
*J. Amer. Math. Soc.*(27), 2014, pp 1117--1145 (with R. Rouquier). - Cohomology of Deligne-Lusztig varieties for short-length regular elements in exceptional groups,
*J. Algebra*(392), 2013, pp 276--298. - Quotient of Deligne-Lusztig varieties,
*J. Algebra*(381), 2013, pp 1--20. - Coxeter orbits and Brauer trees II,
*Int. Math. Res. Not.*(15), 2014, pp 4100--4123. - Coxeter orbits and Brauer trees,
*Adv. Math.*(229), no. 6, 2012, pp 3398--3435. - Deligne-Lusztig restriction of a Gelfand-Graev module,
*Ann. Sci. Ec. Norm. Sup.*(42), 2009, pp 653--674.

- Categorical actions on unipotent representations of finite unitary groups,
*Oberwolfach report*, Group theory, 2015.

- Quotients of Deligne-Lusztig varieties,
*Oberwolfach report*, Group theory, 2012.

- Geometry of Deligne-Lusztig varieties, decompositions,
mod \ell cohomology and modular representations,
*PhD thesis*, 2010.

I rarely use beamer for giving talks so this is pretty old material:

- A talk about the joint work [9] with Gunter Malle.

- Brauer trees of finite reductive groups via Deligne-Lusztig theory, Pohang, March 2011.

- Some Slides I used during my viva, Besançon, June 2010.

- Parity sheaves (with Peng Shan),
*Sheaves in representation theory*, Isle of Skye, May 2010.

- Autour des représentations linéaires des groupes finis classiques,
*Journées des Écoles doctorales de Besançon et Dijon*, Dijon, May 09.