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 L-functions, the p-adic Langlands correspondence, Euler systems, Iwasawa Theory, 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.
p-adic interpolation of Gauss-Manin connections on nearly overconvergent modular forms and p-adic L-functions (with A. Graham and V. Pilloni), Compositio Math. 161 (2025), 2380-2441 (journal).
An introduction to p-adic L-functions (with Chris Williams), Essential Number Theory, Vol. 4 (2025), No. 1, 101–216 (journal).
Algebraic cycles and functorial lifts from G2 to PGSp6 (with A. Cauchi and F. Lemma), Algebra & Number Theory 19-3 (2025), 551-616 (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 (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 (journal).
Solid locally analytic representations of p-adic Lie groups (with J.E. Rodríguez Camargo), Representation Theory 26 (2022), 962–1024 (journal).
Norm-compatible systems of Galois cohomology classes for GSp6 (with A. Cauchi), Documenta Mathematica 25 (2020), 911-954 (journal).
Arithmetic families of (φ,Γ)-modules and locally analytic representations of GL2(Qp), (with I. Gaisin) Documenta Mathematica 23 (2018), 1313-1404 (journal).
La conjecture ε locale de Kato en dimension 2, Mathematische Annalen 372-3 (2018), 1277--1334 (journal).
(φ,Γ)-modules de de Rham et fonctions L p-adiques, Algebra & Number Theory 12-4 (2018), 885--934 (journal).
(φ,Γ)-modules de de Rham et fonctions L p-adiques, Ph.D. Thesis.
Teaching
2025-2026 :
Représentations de groupes compacts (M2 Mathématiques fondamentales)
Fondements mathématiques de la cryptographie (M2 IMD) : Lecture notes.
2024-2025 :
Fondements mathématiques de la cryptographie (M2 IMD)
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.