Let p> 2 be prime. We use purely local methods to determine the possible reductions of
certain two-dimensional crystalline representations, which we call pseudo-Barsotti–Tate …

We prove the compatibility of arithmetic local constants of Mazur and Rubin with the usual
local constants for pairs of congruent self‐dual Galois representations that become Barsotti …

We consider Hilbert modular varieties in characteristic p with Iwahori level at p and construct
a geometric Jacquet-Langlands relation showing that the irreducible components are …

We consider the Hilbert modular varieties in characteristic p with Iwahori level at p and
construct a geometric Jacquet–Langlands relation showing that the irreducible components …

Let p> 2 be prime. We use purely local methods to determine the possible reductions of
certain two-dimensional crystalline representations, which we call pseudo-Barsotti–Tate …

We investigate the action of the Atkin operator on spaces of overconvergent p-adic modular
forms. Our contributions are both computational and geometric. We present several …