Cécile Gachet

Post-doctoral fellow in algebraic geometry

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  1. Fundamental groups of log Calabi-Yau surfaces.
    Joint work with Joaquin Moraga, and Zhining Liu.
  2. Smooth projective surfaces with infinitel many real forms.
    Joint work with Tien-Cuong Dinh, Hsueh-Yung Lin, Keiji Oguiso, Long Wang, and Xun Yu.
  3. 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
  4. Finite quotients of abelian varieties with a Calabi-Yau resolution.


  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