Papers and Preprints

2018 Remarks on the Kodaira dimension of base spaces of families of manifolds   arXiv:1809.05616
2018 Harmonic metrics on Higgs sheaves and uniformization of varieties of general type  arXiv:1804.01266
(with D. Greb, S. Kebekus and T. Peternell)
2018 Brody hyperbolicity of base spaces of certain families of varieties   arXiv:1801.05898
(with M. Popa and L. Wu)
2017 Nonabelian Hodge Theory for klt spaces and descent theorems for vector bundles    arXiv:1711.08159
(with D. Greb, S. Kebekus and T. Peternell)
To appear in Compositio Math.
2017 Hyperbolicity of singular spaces      arXiv:1710.08832  
(with B. Cadorel and E. Rousseau)
To appear in J. Éc. polytech. Math.
2016 Orbifold stability and Miyaoka-Yau inequality for minimal pairs arXiv:1611.05981
(with H. Guenancia)
2016 Orbifold Chern class inequalities and applications arXiv:1611.06420
(with E. Rousseau)
2016 Generic positivity and applications to hyperbolicity of moduli spaces arXiv:1610.09832
(with B. Claudon and S. Kebekus)
To appear in the forthcoming book “Hyperbolicity of Projective Varieties”, Editors: Diverio and Voisin
2016 Uniformization of higher dimensional minimal varieties arXiv:1608.06644          (survey paper)
(with D. Greb and S. Kebekus)
Proceedings of the 2015 AMS Summer Institute in Algebraic Geometry, Salt Lake City
2015 The Miyaoka-Yau inequality and uniformisation of minimal models arXiv:1511.08822
(with D. Greb, S. Kebekus and T. Peternell)
To appear in Annales scientifiques de l’École normale supérieure (ENS)
2014 A characterization of finite quotients of Abelian varieties arXiv:1410.0063
(with S. Lu)
International Mathematics Research Notices (IMRN), Vol. 24 , 2016
2014 The isotriviality of smooth families of canonically polarized manifolds over a special base
Compositio Math., 152 (7): 1421-1434, 2016. arXiv:1310.5391
Here is an exposition of this result together with that of Campana and Paun at Bourbaki 2015.
2013 Birational positivity in dimension 4                    arXiv:1304.6686
(with an appendix by F. Campana)
Annales de l’institut Fourier, 63(1): 203-216, 2013