- motives and algebraic cycles
- derived categories
- Calabi-Yau varieties
- holomorphic symplectic (a.k.a. hyper-Kähler) varieties
- moduli spaces of sheaves
- Hodge theory
- orbifold cohomology
- Fano varieties
Publications and preprints
My research profile on ArXiv
, Google Scholar
- Unpolarized Shafarevich conjectures for hyper-Kähler varieties (with Z. Li, T. Takamatsu, and H. Zou)
Preprint 2022, arXiv:2203.10391
- A remark on the higher torsion invariants for flat vector bundles with finite holonomy. (with Y. Zhang)
Preprint 2022, arXiv:2203.02353
- Motives of moduli spaces of bundles on curves via variation of stability and flips, (with V. Hoskins and S. Pepin Lehalleur)
Preprint 2020, arXiv:2011.14872
- Cubic fourfolds, Kuznetsov components and Chow motives, (with Ch. Vial)
Preprint 2020, arXiv:2009.13173
- Motivic integration and the birational invariance of BCOV invariants, (with Y. Zhang)
Preprint 2020, arXiv:2007.04835
- Derived categories of flips and cubic hypersurfaces, (with P. Belmans and T. Raedschelders)
Preprint 2020, arXiv:2002.04940
- Special cubic fourfolds, K3 surfaces and the Franchetta property (with R. Laterveer)
International Mathematics Research Notices, to appear (2022) arXiv:2112.02437
- Stability manifolds of varieties with finite Albanese morphisms, (with C. Li and X. Zhao)
Transactions of the American Mathematical Society, to appear (2022) arXiv:2103.07728
- Motives of moduli spaces of rank 3 vector bundles and Higgs bundles on a curve, (with V. Hoskins and S. Pepin Lehalleur)
Special issue "Birational geometry and moduli of projective varieties"
Electronic Research Archive Volume 30, Issue 1: 66-89 (2022), Open access!
- The generalized Franchetta conjecture for some hyper-Kähler varieties, II, (with R. Laterveer and Ch. Vial)
Journal de l'École polytechnique -- Mathématiques, Tome 8 (2021), pp. 1065-1097. Open access!
- Categorical polynomial entropy, (with Y.-W. Fan and G. Ouchi)
Advances in Mathematics (2021). Open access!
- Supersingular O'Grady varieties of dimension six, (with Z. Li and H. Zou)
International Mathematical Research Notices, rnaa349 (2021),
- Supersingular irreducible symplectic varieties, (with Z. Li)
Rationality of Algebraic Varieties (2021).
Progress in Mathematics, volume 342, Birkhäuser.
- A motivic global Torelli theorem for isogenous K3 surfaces, (with Ch. Vial)
Advances in Mathematics (2021). Open access!
Here is a longer version with an extra Section A.5
- On the Betti numbers of compact holomorphic symplectic orbifolds of dimension four, (with G. Menet)
Mathematische Zeitschrift, 299 (2021), 203–231. Open access!
- Multiplicative Chow-Künneth decompositions and varieties of cohomological K3 type, (with R. Laterveer and Ch. Vial)
Annali di Matematica Pura ed Applicata, 200(5), 2085-2126 (2021).
- On the motive of O'Grady's ten-dimensional hyper-Kähler varieties,
(with S. Floccari and Z. Zhang) Erratum.
Communications in Contemporary Mathematics, Vol. 23, No. 04, 2050034 (2021). Open access!
- Distinguished cycles on varieties with motive of abelian type and the Section Property, (with Ch. Vial)
Journal of Algebraic Geometry, 29 (2020), 53–107.
- Hilbert squares: derived categories and deformations, (with P. Belmans and T. Raedschelders)
Selecta Mathematica (N.S.) 25, no. 3, Paper No. 37 (2019).
- Orbifold products for higher K-theory and motivic cohomology, (with M. T. Nguyen)
Documenta Mathematica 24, 1769-1810 (2019).
- Motivic hyper-Kähler resolution conjecture: I. Generlized Kummer varieties, (with Z. Tian and Ch. Vial)
Geometry & Topology, 23-1 (2019), 427-492.
- Finiteness of Klein actions and real structures on compact hyper-Kähler manifolds, (with A. Cattaneo)
Mathematische Annalen (2019), Volume 375, Issue 3–4, 1783–1822.
- 2-cycles sur les hypersurfaces cubiques de dimension 5, (with Z. Tian)
Mathematische Zeitschrift (2019) Volume 293, Issue 1–2, 661–676.
- Motivic multiplicative McKay correspondence for surfaces, (with Z. Tian)
Manuscripta Mathematica (2019), 158 (3), 295-316.
- The generalized Franchetta conjecture for some hyper-Kähler varieties, (with R. Laterveer, Ch. Vial and M. Shen)
Journal de Mathématiques Pures et Appliquées 130 (2019) 1–35.
- Motivic hyper-Kähler resolution conjecture: II. Hilbert schemes of K3 surfaces. (with Z. Tian)
- Beauville-Voisin conjecture for generalized Kummer varieties.
International Mathematics Research Notices (2015), no. 12, 3878-3898.
- Classification of polarized symplectic automorphisms of Fano varieties of cubic fourfolds.
Glasgow Mathematical Journal, Volume 58, Issue 01, (2016), 17-37.
- On the action of symplectic automorphisms on the CH_0-groups of some hyper-Kähler fourfolds.
Mathematische Zeitschrift, 280 (2015), no. 1-2, 307-334.
- Decomposition of small diagonals and Chow rings of hypersurfaces and Calabi-Yau complete intersections.
Advances in Mathematics (2013), pp. 894-924.
- On the coniveau of certain sub-Hodge structures.
Mathematical Research Letters 19 (2012), No. 05, 1097-1116.
- Around hyper-Kähler varieties: motives, supersingularity and automorphisms.
- Sub-Hodge structures, Chow rings and action of certain automorphisms.
Ph.D. thesis (advisor: Claire Voisin).
- Cohomological operations in Chow theory.
Master thesis (advisor: Bruno Kahn).
- Classes de conjugaison tordues des groupes de lacets et G-fibrés sur courbes elliptiques.
Memoir of first year (with Tristan Roussel, advisor: David Hernandez)