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.
   * New * February 12th 2025: Rewritten to improve exposition, simplify the main proof, and add some more theorems about pairs with large orbifold fundamental groups.
   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

Publications

1. Nef cones of fiber products and an application to the Cone Conjecture.
   Joint work with Hsueh-Yung Lin and Long Wang.
   Published online at Forum of Mathematics, Sigma in March 2024. pdf-file
2. Positivity of higher exterior powers of the tangent bundle.
   International Mathematics Research Notices (IMRN), Volume 2024, Issue 8, 6522–6552. pdf-file
3. Finite quotients of abelian varieties with a Calabi-Yau resolution.
   Journal de l’École polytechnique (JEP) — Mathématiques, Volume 11 (2024), 1219-1286. pdf-file
4. 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.
5. 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

• * New * Some code in Python to check the count of minimal models of a Schoen threefold proved by Namikawa in his paper On the birational structure of certain Calabi--Yau threefolds published in J. Math. Kyoto Univ., Volume 31, Issue 1 (1991), 151-164.
  The answer? There are 56.120.347.647.983.744.449 non-isomorphic minimal models.
• 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