Lorenzo Furio

collaborators

4 papers

math.NT2026

Explicit p-adic Hodge theory for elliptic curves and non-split Cartan images

Matthew Bisatt, Lorenzo Furio, Davide Lombardo

Let $E / Q_{p}$ be an elliptic curve whose mod $p$ Galois image is contained in the normaliser of a non-split Cartan. We classify the possible $p$ -adic images of $E$ using too…

math.NT2026

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals

Lorenzo Furio

Given an elliptic curve $E$ defined over $Q$ without complex multiplication, we provide an explicit sharp bound on the index of the image of the adelic representation $Ï_…

math.NT2026

On 7-adic Galois representations for elliptic curves over $Q$

Lorenzo Furio, Davide Lombardo

In recent years, significant progress has been made on Mazur's Program B, with many authors beginning a systematic classification of all possible images of $p$ -adic Galois represen…

math.NT2025

Serre's uniformity question and proper subgroups of $C_{n s}^{+} (p)$

Lorenzo Furio, Davide Lombardo

Serre's uniformity question asks whether there exists a bound $N > 0$ such that, for every non-CM elliptic curve $E$ over $Q$ and every prime $p > N$ , the residual Galois repr…

Explicit p-adic Hodge theory for elliptic curves and non-split Cartan images

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals

On 7-adic Galois representations for elliptic curves over Q

Serre's uniformity question and proper subgroups of Cns+​(p)

On 7-adic Galois representations for elliptic curves over $Q$

Serre's uniformity question and proper subgroups of $C_{n s}^{+} (p)$