The values of the Dedekind–Rademacher cocycle at certain real quadratic arguments are
shown to be global p-units in the narrow Hilbert class field of the associated real quadratic …

Heegner points and Beilinson–Kato elements: A conjecture of Perrin-Riou - ScienceDirect
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The primary goal of this paper is to investigate the geometry of the p-adic eigencurve at a
point f corresponding to a weight one cuspidal CM theta series θ ψ irregular at the prime …

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 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 …

Let $ E/\mathbb {Q} $ be an elliptic curve, let $ p> 2$ be a prime of good reduction for $ E $,
and assume that $ E $ admits a rational $ p $-isogeny with kernel $\mathbb {F} _p (\phi) $. In …

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 …

We study the Eisenstein ideal for modular forms of even weight k> 2 and prime level N. We
pay special attention to the phenomenon of extra reducibility: the Eisenstein ideal is strictly …

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 …

We prove a $ p $-adic version of the work by Gross and Zagier on the differences between
singular moduli by proving a set of conjectures by Giampietro and Darmon, who investigated …