Joaquín Rodrigues Jacinto
joaquin.rodrigues-jacinto@univ-amu.fr
Welcome!
I am a Maître de Conférences at the Université Aix-Marseille. My main research areas are Algebraic Number Theory and Arithmetic Geometry. I am interested in p-adic L-functions, the p-adic Langlands correspondence, special values of L-function, and in the applications of condensed mathematics to p-adic representation theory.
Events
Jan-Feb 2026: Thematic month at CIRM Around the Langlands program
May 2026: Workshop Perfection in Iwasawa Theory
June 2026: Research School Classical and p-adic aspects of the Kudla program
June 2026: Conference p-adic aspects of the Kudla program
Articles and preprints
Solid locally analytic representations (with J. E. Rodríguez Camargo), Preprint 2023, 69 pages (arXiv).
p-adic interpolation of Gauss-Manin connections on nearly overconvergent modular forms and p-adic L-functions (with A. Graham and V. Pilloni), to appear in Compositio Mathematica (arXiv).
An introduction to p-adic L-functions (with Chris Williams), Essential Number Theory, Vol. 4 (2025), No. 1, 101–216 (arXiv) (journal).
Algebraic cycles and functorial lifts from G2 to PGSp6 (with A. Cauchi and F. Lemma), Algebra & Number Theory 19-3 (2025), 551-616 (arXiv) (journal).
On higher regulators of Siegel varieties (with A. Cauchi and F. Lemma), Journal de Théorie des Nombres de Bordeaux, Tome 36 (2024) no. 3, pp. 767-804 (arXiv) (journal).
Tempered currents and Deligne cohomology of Shimura varieties, with an application to GSp6 (with J. I. Burgos Gil, A. Cauchi and F. Lemma), Cambridge Journal of Mathematics 12-4 (2024), 831-902 (arXiv) (journal).
Solid locally analytic representations of p-adic Lie groups (with J.E. Rodríguez Camargo), Representation Theory 26 (2022), 962–1024 (arXiv) (journal).
Norm-compatible systems of Galois cohomology classes for GSp6 (with A. Cauchi), Documenta Mathematica 25 (2020), 911-954 (arXiv) (journal).
Arithmetic families of (φ,Γ)-modules and locally analytic representations of GL2(Qp), (with I. Gaisin) Documenta Mathematica 23 (2018), 1313-1404 (arXiv) (journal).
La conjecture ε locale de Kato en dimension 2, Mathematische Annalen 372-3 (2018), 1277--1334 (arXiv) (journal).
(φ,Γ)-modules de de Rham et fonctions L p-adiques, Algebra & Number Theory 12-4 (2018), 885--934 (arXiv) (journal).
(φ,Γ)-modules de de Rham et fonctions L p-adiques, Ph.D. Thesis (link).
Teaching
2024-2025 :
Fondements mathématiques de la cryptographie (M2 IMD) : Lecture notes.
Courbes elliptiques et formes modulaires (M2 Mathématiques fondamentales).
Suites et fonctions d'une variable réelle.
2023-2024 :
Théorie algorithmique des nombres (M2 IMD).
Analyse 2.
Algèbre 3.
2022-2023 :
Représentations des groupes finis (USPN M1 Mathématiques) : TD1, TD2, TD3, TD4, TD5.
Cryptographie (USPN M2 Mathématiques des données) : TD1., TD2, TD3, TD4, TD5, TD6.
Other writings
Cohomology of Arithmetic Groups, Notes for a study group on derived structures in the Langlands program at UCL.
Torema de Krein-Milman, Concurso de monografías UMA.
Teorema de Stokes en variedades (with Ramiro Lafuente), Concurso de monografías UMA.