I am interested in arithmetic geometry, representation theory and number theory. My current projects are related to

• p-adic analogues of Deligne-Lusztig theory
• representations of p-adic reductive groups and local Langlands correspondences
• modifications of vector bundles on the Fargues--Fontaine curve, related perfectoid phenomena and Rapoport--Zink spaces at infinite level

I also worked on (and am still interested in) the following topics:

• restricted ramification in number fields, Hasse principles, Grunwand--Wang-style results
• densities of primes in number fields, generalizations of Dirichlet density
• anabelian geomerty, especially in the context of rings of integers in number fields