Complexes d'intersection des compactifications de
Baily-Borel. Le cas des groupes unitaires sur Q. (phd
thesis) : complexes_d_intersection.pdf
Complexes pondérés des compactifications de
Baily-Borel. Le cas des variétés modulaires de Siegel.
(J. Amer. Math. Soc. 21 (2008), 23-61) : complexes_ponderes.pdf
On the cohomology of certain non-compact Shimura varieties
(Annals of Mathematics Studies 173, Princeton University Press, 2010). stabilisation.pdf
Cohomologie d'intersection des variétés
modulaires de Siegel, suite. (Compositio Mathematica, 2011)
groupes_symplectiques.pdf
The intersection complex as a weight truncation and an
application to Shimura varieties.
(notes of my talk at the 2010 ICM, with a couple of typos fixed) icm2010.pdf
Construction de représentations galoisiennes de torsion, d'après Peter Scholze (Bourbaki seminar talk,
June 2015).
Bourbaki_Scholze.pdf
The standard sign conjecture on algebraic cycles:
the case of Shimura varieties (joint with Junecue Suh, Crelle, 2014).
sign_Crelle.pdf
I know that you know : enigmas based on the concept of common knowledge
(joint with Mohammad Shahryari, expository, in Persian; appeared in the Newsletter of the Iranian
Mathematical Society, 2017) Islanders.pdf
Some combinatorial identities appearing in the calculation of the cohomology of Siegel modular varieties
(with Richard Ehrenborg and Margaret Readdy, in
Algebraic Combinatorics, October 2019) :
published version
A generalization of combinatorial identities for stable discrete series constants
(with Richard Ehrenborg and Margaret Readdy, in
Journal of Combinatorial Algebra, 2022) :
arXiv link
Sharing pizza in n dimensions
(with Richard Ehrenborg and Margaret Readdy, in Transactions of the
American Mathematical Society, 2022) :
arXiv link
Pizza and 2-structures
(with Richard Ehrenborg and Margaret Readdy, to appear in
Discrete and Computational Geometry) :
arXiv link
The four operations on perverse motives (with Florian Ivorra, to appear in
Journal of the European Mathematical Society)
arXiv link
Shimura varieties (notes of a course at the IHES 2022 summer school on the Langlands program, to appear
in Proceesings of Symposia in Pure Mathematics)
arXiv link
Prépublications
Mixed l-adic complexes
for schemes over number fields (submitted)
sur_Q.pdf
Comparison of different definitions of pseudo-characters (with Kathleen Emerson)
arXiv link
Autres
Notes from MAT 449 (Introduction to representation theory, Fall 2016). Probably full of typos, use at your own risk. :
rep_theory_notes.pdf
Note on derived deformation rings and de Jong's conjecture (in French).
: Def.pdf
Beilinson's construction of nearby
cycles and gluing. : gluing.pdf