Samuel Le Fourn

activity

20162022

most citedResidual Galois representations of elliptic curves with image contained in the normaliser of a non-split Cartan

11 citations · 12 across the 2 of their papers we have counts for

collaborators

3 papers

math.NT2022★ 1 cited

Torsion bounds for a fixed abelian variety and varying number field

Samuel Le Fourn, Davide Lombardo, David Zywina

Let $A$ be an abelian variety defined over a number field $K$ . For a finite extension $L / K$ , the cardinality of the group $A (L)_{tors}$ of torsion points in $A (L)$ c…

math.NT2020★ 11 cited

Residual Galois representations of elliptic curves with image contained in the normaliser of a non-split Cartan

Samuel Le Fourn, Pedro Lemos

It is known that if $p > 37$ is a prime number and $E / Q$ is an elliptic curve without complex multiplication, then the image of the mod $p$ Galois representation $$ \barρ_{E…

math.NT2016

A "tubular" variant of Runge's method in all dimensions, with applications to integral points on Siegel modular varieties

Samuel Le Fourn

Runge's method is a tool to figure out integral points on curves effectively in terms of height. This method has been generalised to varieties of any dimension, unfortunately its c…