Research and Papers

Here some of my papers and preprints. You can usually find the most recent versions on arxiv

Perfectoid overconvergent Siegel modular forms and the overconvergent Eichler-Shimura morphism, joint with Hansheng Diao and Ju-Feng Wu, preprint

A non-Archimedean analogue of Campana's notion of specialness, joint with Jackson Morrow, Algebraic Geometry, Foundation Compositio Mathematica, 10 (3) (2023) 262–297;

Domination in Knödel Graphs, joint with Jesse Racicot, Discrete Mathematics & Theoretical Computer Science, vol. 24:1, 2022, #16;

Big principal series, p-adic families and L-invariants, joint with Lennart Gehrmann, Compositio Mathematica, Volume 158 , Issue 2 , February 2022 , pp. 409–436;

Perfectoid Drinfeld Modular Forms, joint with Marc-Hubert Nicole, Journal de theorie de nombres de Bordeaux, Volume 33 (2021) no. 3.2, pp. 1045–1067;

Familles de formes modulaires de Drinfeld pour le groupe général linéaire, joint with Marc-Hubert Nicole, Trans. AMS., 374 (2021), 4227–4266;

Non-Cuspidal Hida Theory for Siegel Forms and Trivial Zeros of p-adic L-functions, joint with Zheng Liu, Math Ann., volume 378, pages 153–231 (2020);

Hida Theory over some Shimura Varieties without Ordinary Locus, joint with Riccardo Brasca,  American Journal of Math., Volume 143, Number 3, June 2021 pp. 715–751;

Derivative of the standard p-adic L-function associated with a Siegel form, Trans. AMS., 370 (2018), 6469–6491;

Eigenvarieties for non-cuspidal modular forms over certain PEL type Shimura varieties, joint with Riccardo Brasca, preprint;

L-invariant for Siegel-Hilbert forms, Documenta Math. 20 (2015) 1227–1253;

Derivative of symmetric square p-adic L-functions via pull-back formula, Arithmetic and Geometry, Dieulefait, L.; Faltings, G.; Heath-Brown, R.; Manin, Y.; Moroz, B.; Wintenberger, J.-P. (eds.),  LMS Lecture Note Series 420, 2015, pp 373–400;

A formula for the derivative of the p-adic L-function of the symmetric square of a finite slope modular form, Amer. Journal of Math., 138 (2016), no. 3, 821–878;

Derivative at s=1 of the p-adic L-function of the symmetric square of a Hilbert modular form, Israel Journal of Mathematics, 215(1), 255–315;

Dérivée en s=1 de la fonction L p-adique du carré symétrique d'une courbe elliptique sur un corps totalement réel, C. R. Math. Acad. Sci. Paris, 351 (2013), no.7–8, 251–254.

Here you can find my thesis: French version. The first four chapters correspond to the articles above. The fifth chapter has been extended and is now "L-invariant for Siegel-Hilbert forms".

Here the slides of the presentation in Leuven.

And a poster I presented at Iwasawa 2012