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 ANR Karmapolis
project.
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.
Research work
Articles:
Hyperbolicity and fundamental groups of complex quasi-projective varieties , with Y. Deng and 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, 2020 preprint, accepted in J. Éc. polytech. Math.
Generalized
algebraic Morse inequalities and jet differentials, 2019 preprint.
On subvarieties of
singular quotients of bounded domains, with S. Diverio and H.
Guenancia, 2019 preprint, to appear in J. London. Math. Soc.
Subvarieties of
quotients of bounded symmetric domains, 2018 preprint, accepted in
Math. Ann.
Hyperbolicity of
singular spaces, with E. Rousseau and 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, Vol. 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.