Benoît Cadorel Homepage

Presentation

I am maître de conférences (assistant professor) at the Institut Élie Cartan de Lorraine at Nancy (France). I am attached to the geometry team.

I am also a member of the French ANR projects Karmapolis and GAG.

I am interested in questions related to hyperbolicity of complex manifolds, mainly by metric approaches permitting to exhibit positivity properties of the canonical and cotangent bundles of these manifolds.

Keywords: Complex hyperbolicity. Green-Griffiths-Lang conjecture. Symmetric differentials. Jet differentials. Bounded symmetric domains. Représentations of fundamental groups and uniformization.

Research work

Articles:

Uniformization of varieties with log-canonical singularities, 2024 preprint.

Hyperbolicity of generic hypersurfaces of polynomial degree via Green-Griffiths jet differentials, 2024 preprint.

Hyperbolicity and fundamental groups of complex quasi-projective varieties (with Y. Deng et K. Yamanoi), 2022 preprint.

Picard hyperbolicity of manifolds admitting nilpotent harmonic bundles (with Y. Deng) 2021 preprint.

Hyperbolicity and specialness of symmetric powers (with F. Campana et E. Rousseau) J. Ec. polytechnique - Math., Tome 9 (2022), pp. 381-430.

Generalized algebraic Morse inequalities and jet differentials, 2019 preprint.

On subvarieties of singular quotients of bounded domains (with S. Diverio et H. Guenancia), J. London. Math. Soc., Volume 106, Issue 4 (2022) pp. 3208-3239.

Subvarieties of quotients of bounded symmetric domains, Math. Annalen, volume 384, (2022) pp. 1-38.

Hyperbolicity of singular spaces (with E. Rousseau et B. Taji), J. Éc. polytech. Math, Tome 6 (2019), pp. 1-18.

Jet differentials on toroidal compactifications of ball quotients, Ann. Inst. Fourier, Tome 70 (2020), pp. 2331-2359.

Hyperbolicity of varieties supporting a variation of Hodge structure (with Y. Brunebarbe), IMRN, Volume 2020, Issue 6 (2020), pp. 1601-1609.

Symmetric differentials on complex hyperbolic manifolds with cusps, J. Differ. Geom, Volume 118, No. 3 (2021), pp. 373-398.


Others:

Annex to the article "A characterization of complex quasi-projective manifolds uniformized by unit balls", by Y. Deng (2020, written with Y. Deng.)

PhD Thesis

I defended my PhD thesis in May 2018, on the subject Hyperbolicité complexe et quotients de domaines symétriques bornés, under the supervision of Erwan Rousseau.

The manuscript of my thesis is available here.

Habilitation à diriger des recherches

I defended my HDR in January 2025, on the subject Hyperbolicité complexe : méthodes algébriques et transcendantes, et application à des problèmes d'uniformisation.

The manuscript can be found here.