Galois representations modulo p and cohomology of Hilbert modular varieties
Genre arithmétique des groupes modulaires de Hilbert et nombres de classes de quaternions.
Geodesic cycles and the Weil representation I ; quotients of hyperbolic space and Siegel modular forms
Growth of Selmer groups of Hilbert modular forms over ring class fields
We prove non-trivial lower bounds for the growth of ranks of Selmer groups of Hilbert modular forms over ring class fields and over certain Kummer extensions, by establishing first a suitable parity result.