Preprints
- Fundamental groups of log Calabi-Yau surfaces.
Joint work with Joaquin Moraga, and Zhining Liu.
pdf-file
- Smooth projective surfaces with infinitel many real forms.
Joint work with Tien-Cuong Dinh, Hsueh-Yung Lin, Keiji Oguiso, Long Wang, and Xun Yu.
pdf-file
- Nef cones of fiber products and an application to the Cone Conjecture.
Joint work with Hsueh-Yung Lin and Long Wang.
Accepted at Forum of Mathematics, Sigma. pdf-file
- Finite quotients of abelian varieties with a Calabi-Yau resolution.
pdf-file
Publications
- Positivity of higher exterior powers of the tangent bundle.
Int. Math. Res. Not. (IMRN), September 2023, published online pdf-file
- Positivity of the cotangent bundle of singular Calabi-Yau varieties.
Math. Res. Lett., 2022, Volume 29, Issue 2, 339-372 pdf-file
Here is the computer program I run on the Kreuzer-Skarke database of Calabi-Yau hypersurfaces
in four-dimensional weighted projective spaces to provide examples in Section 7. Code is written in Python:
py-files. Files should all be saved in the same folder and main.py should be run.
- Examples and non-examples of polyhedral Kähler surfaces.
The Quarterly Journal of Mathematics, September 2019, Volume 70, Issue 3, 985–998 pdf-file
Theses and other documents
- Positivity of the (co)tangent sheaf and of Chern classes.
Ph.D. thesis, supervised by Prof. Andreas Höring and defended at Université Côte d'Azur on February 24th 2023. pdf-file
- Positivité du fibré tangent et de ses puissances extérieures sur une variété projective complexe.
Master thesis, supervised by Prof. Andreas Höring and defended in September 2019. pdf-file
- Autour des conjectures de Weil.
Bachelor thesis, jointly written with Elie Studnia and Yichen Qin,
supervised by Dr. Cyril Demarche, defended at Ecole normale supérieure de Paris in June 2017.
pdf-file
- Chemins auto-évitants : autour de la constante de connectivité
Individual read-and-explain project prepared for the entrance examination to ENS and Ecole Polytechnique, presented in June 2016.
pdf-file