Select Publications
Book Chapters
, 2025, 'Birational Properties of Base Spaces of Smooth Projective Families of Good Minimal Models', in ZAG Handbook of Algebraic Geometry, Chapman and Hall/CRC, pp. 768 - 771, http://dx.doi.org/10.1201/9781003286363-195
, 2018, 'Uniformisation of higher-dimensional minimal varieties', in , American Mathematical Society, pp. 277 - 308, http://dx.doi.org/10.1090/pspum/097.1/10
Journal articles
, 2026, 'Boundedness results for families of non-canonically polarized projective varieties', Journal Fur Die Reine Und Angewandte Mathematik, 2026, pp. 233 - 260, http://dx.doi.org/10.1515/crelle-2025-0092
, 2024, 'Arakelov inequalities in higher dimensions', Journal Fur Die Reine Und Angewandte Mathematik, 2024, pp. 115 - 145, http://dx.doi.org/10.1515/crelle-2023-0075
, 2023, 'Birational geometry of smooth families of varieties admitting good minimal models', European Journal of Mathematics, 9, http://dx.doi.org/10.1007/s40879-023-00681-6
, 2023, 'Chern class inequalities for nonuniruled projective varieties', Bulletin of the London Mathematical Society, 55, pp. 2856 - 2875, http://dx.doi.org/10.1112/blms.12898
, 2023, 'Hodge sheaves underlying flat projective families', Mathematische Zeitschrift, 303, http://dx.doi.org/10.1007/s00209-023-03219-4
, 2023, 'ORBIFOLD CHERN CLASSES INEQUALITIES AND APPLICATIONS', Annales De L Institut Fourier, 73, pp. 2371 - 2410, http://dx.doi.org/10.5802/aif.3571
, 2022, 'Orbifold stability and Miyaoka–Yau inequality for minimal pairs', Geometry and Topology, 26, pp. 1435 - 1482, http://dx.doi.org/10.2140/gt.2022.26.1435
, 2021, 'On the Kodaira dimension of base spaces of families of manifolds', Journal of Pure and Applied Algebra, 225, pp. 106729, http://dx.doi.org/10.1016/j.jpaa.2021.106729
, 2020, 'Harmonic metrics on Higgs sheaves and uniformization of varieties of general type', Mathematische Annalen, 378, pp. 1061 - 1094, http://dx.doi.org/10.1007/s00208-019-01906-4
, 2019, 'Brody hyperbolicity of base spaces of certain families of varieties', Algebra & Number Theory, 13, pp. 2205 - 2242, http://dx.doi.org/10.2140/ant.2019.13.2205
, 2019, 'Hyperbolicity of singular spaces', Journal de l’École polytechnique — Mathématiques, 6, pp. 1 - 18, http://dx.doi.org/10.5802/jep.85
, 2019, 'Nonabelian Hodge theory for klt spaces and descent theorems for vector bundles', Compositio Mathematica, 155, pp. 289 - 323, http://dx.doi.org/10.1112/s0010437x18007923
, 2019, 'The Miyaoka-Yau inequality and uniformisation of canonical models', Annales Scientifiques de l École Normale Supérieure, 52, pp. 1487 - 1535, http://dx.doi.org/10.24033/asens.2414
, 2018, 'A Characterization of Finite Quotients of Abelian Varieties', International Mathematics Research Notices, 2018, pp. 292 - 319, http://dx.doi.org/10.1093/imrn/rnw251
, 2016, 'The isotriviality of smooth families of canonically polarized manifolds over a special quasi-projective base', Compositio Mathematica, 152, pp. 1421 - 1434, http://dx.doi.org/10.1112/s0010437x1600734x
, 2014, 'Birational positivity in dimension
Conference Papers
, 2015, 'Uniformization of higher dimensional minimal varieties', in Proceedings of the 2015 AMS Summer Institute in Algebraic Geometry, Salt Lake City, Salt Lake City, USA, presented at
Preprints
, 2026, Boundedness results for families of non-canonically polarized projective varieties, http://dx.doi.org/10.48550/arxiv.2408.15153
, 2023, Birational geometry of smooth families of varieties admitting good minimal models, http://dx.doi.org/10.48550/arxiv.2005.01025
, 2023, The relative Du Bois complex -- on a question of S. Zucker, http://dx.doi.org/10.48550/arxiv.2307.07192
, 2023, Hodge sheaves underlying flat projective families, http://dx.doi.org/10.48550/arxiv.2103.03515
, 2022, Arakelov inequalities in higher dimensions, http://dx.doi.org/10.48550/arxiv.2205.00761
, 2022, Chern class inequalities for non-uniruled projective varieties, http://dx.doi.org/10.48550/arxiv.2208.01343
, 2022, Orbifold Chern classes inequalities and applications, http://dx.doi.org/10.48550/arxiv.1611.06420
, 2021, Orbifold Stability and Miyaoka-Yau Inequality for minimal pairs, http://dx.doi.org/10.48550/arxiv.1611.05981
, 2021, On the Kodaira dimension of base spaces of families of manifolds, http://dx.doi.org/10.48550/arxiv.1809.05616
, 2019, Harmonic metrics on Higgs sheaves and uniformization of varieties of general type, http://dx.doi.org/10.48550/arxiv.1804.01266
, 2019, The Miyaoka-Yau inequality and uniformisation of canonical models, http://dx.doi.org/10.48550/arxiv.1511.08822
, 2018, Nonabelian Hodge Theory for klt spaces and descent theorems for vector bundles, http://dx.doi.org/10.48550/arxiv.1711.08159
, 2018, Hyperbolicity of singular spaces, http://dx.doi.org/10.48550/arxiv.1710.08832
, 2018, Brody hyperbolicity of base spaces of certain families of varieties, http://dx.doi.org/10.48550/arxiv.1801.05898
, 2016, Generic positivity and applications to hyperbolicity of moduli spaces, http://dx.doi.org/10.48550/arxiv.1610.09832
, 2016, A characterization of finite quotients of Abelian varieties, http://dx.doi.org/10.48550/arxiv.1410.0063
, 2016, Uniformisation of higher-dimensional minimal varieties, http://dx.doi.org/10.48550/arxiv.1608.06644
, 2015, The isotriviality of families of canonically-polarized manifolds over a special quasi-projective base, http://dx.doi.org/10.48550/arxiv.1310.5391
, 2013, Birational positivity in dimension 4 (with an appendix by Frédéric Campana), http://dx.doi.org/10.48550/arxiv.1304.6686