Joaquín Rodrigues Jacinto

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.