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
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