Juan Esteban Rodríguez Camargo completed his PhD in 2022 at the École normale supérieure de Lyon under the supervision of Vincent Pilloni. After his defence, he held a postdoctoral position at the Max Planck Institute for Mathematics in Bonn and was a Junior Simons Fellow at Columbia University. In 2025, he returned to Bonn as a research group leader at the Max Planck Institute.
His main research areas are arithmetic geometry and condensed mathematics. He is particularly interested in applying tools from condensed mathematics to explore the deep and intricate interactions between representation theory and arithmetic geometry that underlie the p-adic Langlands program.
In his work, he introduced the theory of solid locally analytic representations (joint with Rodrigues Jacinto), generalised Pan's theory of locally analytic completed cohomology within the framework of geometric Sen theory, and introduced the analytic de Rham stack—an object that establishes a general theory of analytic D-modules in analytic geometry.
In current joint work with Anschütz, Le Bras, and Scholze, they are developing the theory of analytic prismatization in p-adic geometry, inspired by the integral version of Bhatt–Lurie and Drinfeld. This theory aims to provide the natural framework for the geometrization of the locally analytic p-adic Langlands program in the spirit of Fargues–Scholze.
Rodríguez Camargo est lauréat du cours Peccot pour l’année 2025-2026, sur proposition du Pr Pierre-Louis Lions, chaire Équations aux dérivées partielles et applications.