Preprints

8. The effective cone conjecture for Calabi--Yau pairs
   Joint work with Hsueh-Yung Lin, Isabel Stenger, and Long Wang.
   pdf-file
9. Fundamental groups of log Calabi-Yau surfaces.
   Joint work with Joaquin Moraga, and Zhining Liu.
   pdf-file
10. 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
11. 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
12. Finite quotients of abelian varieties with a Calabi-Yau resolution.
    pdf-file

Publications

1. Positivity of higher exterior powers of the tangent bundle.
   Int. Math. Res. Not. (IMRN), September 2023, published online pdf-file
2. 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.
3. 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 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 Andreas Höring. Defended at Université Côte d'Azur in September 2019. pdf-file
• Autour des conjectures de Weil.
  Bachelor thesis, jointly written with Elie Studnia and Yichen Qin, supervised by Cyril Demarche. Defended at ENS Paris in June 2017. pdf-file
• Chemins auto-évitants : autour de la constante de connectivité
  Individual read-and-explain project prepared for entrance examination to various French higher education schools. Presented in June 2016. pdf-file