Research
Interest:
Algebraic and arithmetic geometry
Shimura varieties and the Langlands program
Machine Learning
Papers/Preprints:
Vanishing results for the coherent cohomology of automorphic vector bundles over the Siegel variety in positive characteristic [arXiv][GitHub]
Positivity, plethysm and hyperbolicity of Siegel varieties in positive characteristic [arXiv][GitHub]
PhD Thesis: Coherent cohomology and geometry of the special fiber of Siegel varieties, 12/22 [HAL]
Talks:
Shimura varieties over finite fields, PhD students seminar of IECL, 11/21 [slides]
Annulation de la cohomologie cohérente de la fibre spéciale de la variété de Siegel, Sorbonne Université - IMJ-PRG, 03/22 [slides]
Notes and algorithm:
These are notes I have written initially for myself. They are not peer-reviewed and may contain mistakes and imprecisions.
Mathematics:
Computations of f_! with condensed mathematics of Clausen and Scholze [pdf]
Proof of Kempf's theorem in positive characteristic [pdf]
Le Potier's vanishing result that generalises Kodaira's vanishing theorem [pdf]
Computation of the Picard group of the algebraic circle [pdf]
Comparison between singular cohomology and de Rham cohomology [pdf]
Master 2 Thesis : "Moduli Spaces of Abelian Varieties" [pdf]
Algorithm for automorphic line bundles defined on Sp_{2g}-ZipFlag and generalized Hasse invariants [GitHub]
Computer Science:
Exoplanet detection with a convolutional neural network (CNN) [GitHub]
Control algorithm based on a Model Predictive Controller under constraints [pdf]