Realisation of linear algebraic groups as automorphism groups, 2024, accepté dans Doc. Math. [PDF]
(avec C. De Clercq et G. Lucchini-Arteche) Lifting vector bundles to Witt vector bundles, 2023, Israel J. Math. [PDF]
(avec D. Izquierdo et G. Lucchini-Arteche) On composition of torsors, 2023, IMRN [PDF]
(avec A. Chapman et K. McKinnie) Common splitting fields of symbol algebras, 2022, Manuscripta Mathematica [PDF]
Realisation of abelian varieties as automorphism groups, 2022, s Annales Fac. Sci. Toulouse [PDF]
(avec C. De Clercq) Lifting low-dimensional local systems, 2021, Math. Zeitschrift [PDF]
(avec P. Gille) Residues on affine grassmannians, 2021, Crelle [PDF]
(avec N. Hoffmann et Z. Reichstein) On the rationality problem for forms of moduli spaces of stable marked curves of positive genus, 2020, Ann. SNS di Pisa [PDF]
(avec G. Lucchini-Arteche) On extensions of algebraic groups, 2020, L'Enseignement Math. [PDF]
Two proofs of the Riemann Hypothesis, 2019, Annals of Math. [PDF]
(avec C. Demarche) Splitting families in Galois cohomology, 2019, Annales Sci. ENS [PDF]
(avec Z. Reichstein) The rationality problem for forms of M_{0,n}, 2018, Bull. London Math. Soc. [PDF]
(avec M. van Garrel) A constructive approach to a conjecture by Voskresenskii, 2018, Selecta Math. [PDF]
(avec D. Anderson et Z. Reichstein) The Lie algebra of type G2 is rational over its quotient by the adjoint action, 2014, Comptes Rendus Acad. Sci. [PDF]
On the symbol length of p-algebras, 2014, Compositio [PDF]
Géométrie birationnelle équivariante des grassmanniennes, 2013, Crelle [PDF]
(avec Bart de Smit et Lara Thomas) The valuation criterion for normal basis generators in unequal characteristic, 2012, Bull. London Math. Soc. [PDF]
On higher trace forms of separable algebras, 2011, Archiv der Math. [PDF]
(avec F. Meunier) Completely symmetric configurations for sigma-games on grid graphs, 2010, Journal of Alg. Combinatorics [PDF]
(avec G. Favi) Tori and essential dimension, 2009, J. of Algebra [PDF]
On the essential dimension of cyclic p-groups, 2008, Inv. Math. [PDF]
Points rationnels sur les espaces homogènes et leurs compactifications, 2005, Trans. Groups
Zéro-cycles de degré un sur les espaces homogènes, 2004, IMRN [PDF]
Prépublications et autres textes
(avec C. De Clercq) Smooth Profinite Groups, I: Geometrizing Kummer Theory, 2025 [PDF]
Smooth Profinite Groups, II: The Uplifting Pattern, 2025 [PDF]
(avec C. De Clercq) Smooth Profinite Groups, III: The Smoothness Theorem, 2025 [PDF]
(avec A. Conti et C. Demarche, version du 18/09/2024) Lifting Galois representations via Kummer flags, 2024 [PDF]
(avec U. First et Z. Rosengarten) Torsors that are versal for all affine varieties, 2024 [PDF]
(avec C. De Clercq, seconde version, texte correct mais inabouti) Lifting theorems and smooth profinite groups, 2017 [PDF]
Triangular Galois representations that do not lift, [PDF]
Errata
Smooth Profinite Groups, II: The Uplifting Theorem, version de 2021 (non publiée, disponible sur arXiv).
As Peter Scholze pointed out, Theorem 14.1 of this preprint is incorrect: the class c, in Step 6 of its proof (Section 16.6), is not geometrically trivial.
Actually, theorems 14.1 and 14.2 are wrong- even when p=2 and G=C_2. As a consequence, this paper is useless, with respect to its intended initial purpose.
Recently, Merkurjev and Scavia showed the following result: all d-dimensional mod p Galois representations of all fields lift mod p^2, if and only if p is odd and d is at most 2, or p=2 and d is at most 4. See [PDF]