Let $ E $ be an elliptic curve defined over $\mathbb {Q} $ with conductor $ N $ and $ p\nmid
2N $ a prime. Let $ L $ be an imaginary quadratic field with $ p $ split. We prove the …

We prove that the cuspidal eigencurve $\scr {C} _ {{\rm cusp}} $ is\'etale over the weight
space at any classical weight $1 $ Eisenstein point $ f $ and meets two Eisenstein …

We present a comprehensive study of the geometry of Hilbert $ p $-adic eigenvarieties at
parallel weight one intersection points of their cuspidal and Eisenstein loci. The Galois …

We prove under mild hypotheses the three-variable Iwasawa Main Conjecture for p-ordinary
modular forms base changed to an imaginary quadratic field K in which p splits in the …

Let fnew be a classical newform of weight≥ 2 and prime to p level. We study the arithmetic
of fnew and its unique p‐stabilisation f when fnew is p‐irregular, that is, when its Hecke …

Given an odd prime number $ p $ and a $ p $-stabilized Artin representation $\rho $ over
$\mathbb {Q} $, we introduce a family of $ p $-adic Stark regulators and we formulate an …

The aim of this paper is to investigate the trivial zeros of the Katz $ p $-adic $ L $-functions
by the CM congruence. We prove the existence of trivial zeros of the Katz $ p $-adic $ L …

R\'esum\'e We compute Benois L-invariants of weight 1 cuspforms and of their adjoint
representations and show how this extends Gross'p-adic regulator to Artin motives which are …

A version of the extra-zero conjecture, formulated by the first named author, is proved for p-
adic L-functions associated with Rankin–Selberg convolutions of modular forms of the same …

A version of the extra-zero conjecture, formulated by the first named author, is proved for $ p
$-adic $ L $-functions associated with Rankin–Selberg convolutions of modular forms of the …