RESEARCH PAPERS

- Diameter of Kähler currents (with V. Guedj and A. Zeriahi)

submitted - Geometry of K-trivial Moishezon manifolds : decomposition theorem and holomorphic geometric structures (with I. Biswas, J. Cao and S. Dumitrescu)

submitted - Strict positivity of Kähler-Einstein currents (with V. Guedj and A. Zeriahi)

Forum of Mathematics, Sigma, to appear - 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, memorial volume for Jean-Pierre Demailly, to appear. - 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 (2022), 245-275 [journal version] - A decomposition theorem for Q-Fano Kähler-Einstein varieties (with S. Druel and M. Păun)

C. R Math. Acad. Sci. Paris, memorial volume for Jean-Pierre Demailly, to appear. - Families of singular Kähler-Einstein metrics (with E. Di Nezza and V. Guedj)

J. Eur. Math. Soc. 25, n°2, 633-679 (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 - 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. - Toric plurisubharmonic functions and analytic adjoint ideal sheaves

Math. Z.

MISCELLANEOUS

- 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