Juan Esteban Rodríguez Camargo

I am a former Ph.D student of Vincent PILLONI at the ENS de Lyon

Currently I am a Simons Junior Fellow

I am generally interested in condensed mathematics and Analytic Geometry, with special focus in p-adic Hodge theory and representations of p-adic Lie groups.

E-mail :

jr4460@columbia.edu

juanesrc0197@gmail.com

(Pre)publications

The analytic de Rham stack in rigid geometry (preprint 2024)
Solid locally analytic representations (Joint with Joaquín Rodrigues Jacinto) (preprint 2023)
Geometric Sen theory over rigid analytic spaces (preprint 2023)
Locally analytic completed cohomology (preprint 2022)
Solid locally analytic representations of p-adic Lie groups. (Joint with Joaquín Rodrigues Jacinto) Represent. Theory 26 (2022) 962-1024
p-adic Eichler-Shimura maps for the modular curve . Compositio Mathematica. 2023;159(6):1214-1249. doi:10.1112/S0010437X23007182
An integral model of the perfectoid modular curve. J. Éc. polytech. Math. 8 (2021), 1193-1224.
Induced character in equivariant K-theory and wreath products (Joint with Mario Velásquez and Germán Combariza) Revista Colombiana de Matemáticas. Vol. 56. Núm 1 (2022)

Notes

Notes on solid geometry Notes for a seminar at Columbia university in 2024
Notes on the analytic prismatization Notes for a series of talks at Chicago University in April of 2024 (joint work in progress with Johannes Anschütz, Arthur-César le Bras and Peter Scholze)