research
a list of research works and projects together with a selection of talks
2022
2023
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PhD thesis
PhD thesis
My PhD project concerned the study of stabilisation phenomena occuring in the moduli space of rational curves on a nice variety (typically, a Fano variety), or more generally the moduli space of sections of a nice family above a smooth projective irreducible curve.
In my PhD thesis, I formulate a geometric/motivic analogue of the Batyrev-Manin-Peyre conjectures unsing the tools of motivic integration. One asks about the asymptotic behaviour, in a well-chosen ring of varities, of the class of the moduli space of curves of arbitrary large degree. These predictions have to be understood as questions or principles concerning the distribution of curves on Fano-like varieties.
Then I verify the validity of these predictions for certain classes of varieties such as equivariant compactifications (vector spaces, split torus) or twisted products obtained from them.
Keywords: moduli space, rational curves, Fano varieties, motivic Euler product.
Ce projet doctoral était financé par une allocation ministérielle AMX.
talks
upcomming talks
- 2024.04.23 Algebra and Number Theory Seminar, Universität Wien
- 2024.05/06 Online Seminar Arithmetic Geometry and Algebraic Groups (TBC)
- 2024.06.27 Séminaire de Géométrie, LAMA, Chambéry
past talks
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2024.02.06 Séminaire Géométrie, LMV, Versailles
- 2023.12.15 Séminaire Géométries, ICJ, Lyon
- 2023.11.15 Browning Group Working Seminar, ISTA, Klosterneuburg
- 2023.11.10 Séminaire de Géométrie, IMB, Bordeaux
- 2023.10.26 Séminaire Algèbre Géométrie Algébrique Topologie Algébrique, IMAG, Montpellier
- 2023.10.20 Séminaire Variétés Rationnelles, Sorbonne Université, Paris
- 2023.10.13 Séminaire de topologie et géométrie algébriques, LAREMA, Angers
- 2023.07.03 Soutenance de thèse, Phénomènes de stabilisation dans des espaces de modules de courbes, Institut Fourier, Grenoble
- 2023.05.26 Séminaire Géométrie et Singularités, IRMAR, Rennes
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2023.05.16 Groups, Arithmetic & Algebraic Geometry Seminar, EPFL
- 2022.12.09 Séminaire de théorie des nombres, Bordeaux.
- 2022.11.28 Algebraic Geometry and Complex Geometry meeting, CIRM, Asymptotic behaviour of rational curves. Video.
- 2022.06.16 Comptage de courbes rationnelles de grand degré, Séminaire Théorie des Nombres, Institut Fourier
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2022.04.07 Comportements asymptotiques de courbes rationnelles, Séminaire Géométrie, Laboratoire de Mathématiques de l’Université Savoie Mont Blanc (LAMA)
- 2021.10.27 Asymptotic behaviour of rational curves, PhD Days, Institut Fourier
- 2020.12.10 Rational curves : asymptotic behaviour of moduli spaces, Comprehensible seminar (séminaire des doctorants de l’Institut Fourier)
additional stuff
my master 2 thesis (in French).