Chair of Arithmetic Geometry

The Arithmetic Geometry Chair at EPFL focuses on the interplay between algebraic geometry and number theory, particularly studying the geometry and topology of algebraic varieties, moduli spaces, and techniques like p-adic motivic integration. Recent research includes exploring the geometry of Hilbert schemes of points on manifolds, 3d mirror symmetry, and rational points on curves using methods like Chabauty and Coleman. Publications from the unit cover topics such as Donaldson-Thomas crepant resolution conjecture, Shalika germs, and BPS invariants from p-adic integrals.