Vincent Pilloni is a French mathematician, specializing in arithmetic geometry and the Langlands program.

Career

Pilloni studied at the École Normale Supérieure and received his doctorate in 2009 from Université Sorbonne Paris Nord with thesis advisor Jacques Tilouine and thesis Arithmétique des variétés de Siegel. ^{[1] [2]}

His research deals with, among other topics, the question of how the modularity theorem for elliptic curves over the rational numbers (which led to the proof of Fermat's Last Theorem) can be extended to abelian varieties. With Fabrizio Andreatta and Adrian Iovita, he worked on general modularity conjectures (following Fontaine-Mazur, Langlands, Clozel, and others).^{[ citation needed]}

Pilloni is a Chargé de recherche of CNRS at the École normale supérieure de Lyon (UMPA).

In 2018 he was an invited speaker, with Fabrizio Andreatta and Adrian Iovita, at the International Congress of Mathematicians in Rio de Janeiro. ^[3] In 2018 Pilloni received the Prix Élie Cartan. In 2021 he was awarded the Fermat Prize. ^[4]

Selected publications

• Pilloni, Vincent (2012). "Sur la théorie de Hida pour le groupe ${\displaystyle {\textrm {GSp}}_{2g}}$". Bulletin de la Société mathématique de France. 140 (3). Societe Mathematique de France: 335–400. doi: 10.24033/bsmf.2630. ISSN  0037-9484.
• Pilloni, Vincent (2012). "Modularité, formes de Siegel et surfaces abéliennes". Journal für die reine und angewandte Mathematik (Crelle's Journal). 2012 (666). Walter de Gruyter GmbH. doi: 10.1515/crelle.2011.123. ISSN  1435-5345. S2CID  121162699.
• Pilloni, Vincent (15 March 2011). "Prolongement analytique sur les variétés de Siegel". Duke Mathematical Journal. 157 (1). Duke University Press. doi: 10.1215/00127094-2011-004. ISSN  0012-7094.
• Bijakowski, Stéphane; Pilloni, Vincent; Stroh, Benoît (1 May 2016). "Classicité de formes modulaires surconvergentes". Annals of Mathematics. 183 (3): 975–1014. arXiv: 1212.2035. doi: 10.4007/annals.2016.183.3.5. ISSN  0003-486X. S2CID  55728265.
• Andreatta, Fabrizio; Iovita, Adrian; Pilloni, Vincent (1 March 2015). "p-adic families of Siegel modular cuspforms". Annals of Mathematics: 623–697. arXiv: 1212.3812. doi: 10.4007/annals.2015.181.2.5. ISSN  0003-486X. S2CID  54623621.
• Vincent Pilloni; Adrian Iovita; Fabrizio Andreatta (2018). "Le halo spectral". Annales scientifiques de l'École normale supérieure. 51 (3). Societe Mathematique de France: 603–655. doi: 10.24033/asens.2362. hdl: 11577/3287053. ISSN  0012-9593.
• Andreatta, Fabrizio; Iovita, Adrian; Pilloni, Vincent (2016). "On overconvergent Hilbert modular cusp forms" (PDF). Astérisque. 382: 163–193. MR  3581177.
• with Benoit Stroh: Surconvergence, ramification et modularité, Astérisque, vol. 382, 2016, pp. 195–266. MR
• Pilloni, Vincent (9 November 2016). "Formes modulaires p-adiques de Hilbert de poids 1". Inventiones Mathematicae. 208 (2). Springer Science and Business Media LLC: 633–676. doi: 10.1007/s00222-016-0697-x. ISSN  0020-9910. S2CID  125123116.

References

External links

• website at ENS Lyon
• Interview 2018, CNRS (in French)
• "Construction of eigenvarieties and coherent cohomology – Vincent Pilloni". YouTube. 25 August 2016.
• "Higher Hida theory – Vincent Pilloni". YouTube. 10 November 2017.
• "p-adic variation of automorphic sheaves – A. Iovita & F. Andreatta & V. Pillion – ICM2018". YouTube. Rio ICM2018. 27 September 2018.