RESEARCH PAPERS
- A note on orbifold regularity of canonical metrics (with C.-M. Pan and M. Păun)
submitted - Log Calabi-Yau manifolds: holomorphic tensors, stability and universal cover (with T. C. Collins)
submitted - Kähler-Einstein metrics of negative curvature (with U. Hamenstädt)
submitted - Degenerating conic Kähler-Einstein metrics to the normal cone (with O. Biquard)
Geometry & Topology, accepted - Bogomolov-Gieseker inequality for log terminal Kähler threefold (with M. Păun, appendix by F. Campana, A. Höring and T. Peternell)
Comm. Pure Appl. Math. 78, n°11, 2206-2244 (2025) - Diameter of Kähler currents (with V. Guedj and A. Zeriahi)
J. Reine Angew. Math 820, 115-152 (2025) - Geometry of K-trivial Moishezon manifolds : decomposition theorem and holomorphic geometric structures (with I. Biswas, J. Cao and S. Dumitrescu)
Math. Annalen 391, 3181-3220 (2025) - Strict positivity of Kähler-Einstein currents (with V. Guedj and A. Zeriahi)
Forum of Mathematics, Sigma 12 (2024), Paper No. e68, 27 pp. - Equality in the Miyaoka-Yau inequality and uniformization of non-positively curved klt pairs (with B. Claudon and P. Graf)
C. R. Math. Acad. Sci. Paris 362 n° S1, 55-81 (2024), memorial volume for Jean-Pierre Demailly. - Numerical characterisation of complex torus quotients (with B. Claudon and P. Graf)
Comment. Math. Helv. 97, n°4, 769-799 (2022) [journal version] - Degenerating Kähler-Einstein cones, locally symmetric spaces, and the Tian-Yau metric (with O. Biquard)
Invent. Math. 230, 1101-1163 (2022) [journal version] - Curvature formula for direct images of twisted relative canonical bundles endowed with a singular metric (with J. Cao and M. Păun)
Ann. Fac. Sci. Toulouse Math. (6) 31 (2022), n°3, 861-905 [journal version] - Continuity of singular Kähler-Einstein potentials (with V. Guedj and A. Zeriahi)
IMRN 2023, n°2, 1355-1377 (2023) [journal version] - Algebraic approximation and the decomposition theorem for Kähler Calabi-Yau varieties (with B. Bakker and C. Lehn)
Invent. Math. 228, 1255–1308 (2022) [journal version] - Kähler spaces with zero first Chern class: Bochner principle, Albanese maps and fundamental groups (with B. Claudon, P. Graf and P. Naumann)
J. Reine Angew. Math. 786, 245-275 (2022) [journal version] - A decomposition theorem for Q-Fano Kähler-Einstein varieties (with S. Druel and M. Păun)
C. R. Math. Acad. Sci. Paris 362 n° S1, 93-118 (2024), memorial volume for Jean-Pierre Demailly. - Families of singular Kähler-Einstein metrics (with E. Di Nezza and V. Guedj)
J. Eur. Math. Soc. 25, n°7, 2697-2762 (2023) [journal version] - Variation of singular Kähler-Einstein metrics: Kodaira dimension zero (with J. Cao and M. Păun, appendix by V. Tosatti)
J. Eur. Math. Soc. 25, n°2, 633-679 (2023) [journal version] - On subvarieties of singular quotients of bounded domains (with B. Cadorel and S. Diverio)
J. London. Math. Soc. (2) 2022; 106; 3208-3239 [journal version] - A Bochner principle and its applications to Fujiki class C manifolds with vanishing first Chern class (with I. Biswas and S. Dumitrescu),
Commun. Contemp. Math. 22 (2020), n°6, 1950051, 21 pp. [journal version] - Quasi-projective manifolds with negative holomorphic sectional curvature
Duke Math. J. 171 (2), 417-442 (2022) [journal version] - Variation of singular Kähler-Einstein metrics: positive Kodaira dimension (with J. Cao and M. Păun)
J. Reine Angew. Math. 779, 1-36 (2021) [journal version] - A decomposition theorem for smoothable varieties with trivial canonical class (with S. Druel)
J. Éc. polytech. Math. 5 (2018), p. 117-147 [journal version] - Klt varieties with trivial canonical class: holonomy groups, differential forms and fundamental groups (with D. Greb and S. Kebekus)
Geometry & Topology 23, n°4, 2051–2124 (2019) [journal version] - Orbifold stability and Miyaoka-Yau inequality for minimal models (with B. Taji)
Geometry & Topology 26, n°4, 1435-1482 (2022) [journal version] - Families of conic Kähler-Einstein metrics
Math. Annalen 376 (1), 1-37 (2020) [journal version] - Kähler-Einstein metrics: from cones to cusps
J. Reine Angew. Math. 759, 1-27 (2020) [journal version] - Semi-stability of the tangent sheaf of singular varieties
Algebraic Geometry, Vol 3, Issue 5 (2016), 508-542 [journal version] - On the boundary behavior of Kähler-Einstein metrics on log canonical pairs (with D. Wu)
Math. Annalen 366 (1), 101-120 (2016) [journal version] - Kähler-Einstein metrics with conic singularities along self-intersecting divisors
IMRN Vol. 2016, No. 15, 4634-4648 [journal version] - Conic singularities metrics with prescribed Ricci curvature: the case of general cone angles along normal crossing divisors (with M. Paun)
J. Differential Geom. 103, n°1 (2016), 15-57 [journal version] - Kähler-Einstein metrics on stable varieties and log canonical pairs (with R. Berman)
Geometric and Functional Analysis 24 (6), 1683-1730 (2014) [journal version] - Kähler-Einstein metrics with cone singularities on klt pairs
Int. J. Math. 24 1350035 (2013) [journal version] - Kähler-Einstein metrics with mixed Poincaré and cone singularities along a normal crossing divisor
Ann. Inst. Fourier 64 (3), 1291-1330 (2014) [journal version] - Metrics with cone singularities along normal crossing divisors and holomorphic tensors fields (with F. Campana and M. Păun)
Ann. Sci. Éc. Norm. Sup. 46 (2013), 879-916 [journal version] - Toric plurisubharmonic functions and analytic adjoint ideal sheaves
Math. Z. 271 (2012), 1011-1035 [erratum] [journal version]
MISCELLANEOUS
- Beauville-Bogomolov decomposition for klt varieties, text, lecture notes for a 2024 CIME Summer School in Cetraro
- Geometric applications of singular Kähler-Einstein metrics, text, Habilitation à Diriger des Recherches, defended on November 22, 2022
- Klt varieties with trivial first Chern class, text, Summer school Foliations in Algebraic Geometry, Grenoble, July 2019
- Métriques de Kähler-Einstein singulières, text, PhD Thesis supervised by S. Boucksom and M. Paun and defended on October 13, 2013
- Points de vue algébriques et analytiques sur la notion de positivité en géométrie complexe, text, magister’s project, defended at the ENS in June 2010
- Méthodes analytiques pour l’étude des singularités en géométrie complexe, text, master’s thesis, defended at Université Paris VI in June 2010