13 citations · 32 across the 5 of their papers we have counts for
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Torsion bounds for a fixed abelian variety and varying number field
Samuel Le Fourn, Davide Lombardo, David Zywina
Let be an abelian variety defined over a number field . For a finite extension , the cardinality of the group of torsion points in c…
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 is a prime number and is an elliptic curve without complex multiplication, then the image of the mod Galois representation $$ \barρ_{E…
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…
Nonvanishing of central values of -functions of newforms in twisted by quadratic characters
Samuel Le Fourn
We prove that for and a quadratic (or rational) field of discriminant and Dirichlet character , if a prime is large enough compared to ,…
Surjectivity of Galois representations associated with quadratic Q-curves
Samuel Le Fourn
We prove in this paper an uniform surjectivity result for Galois representations associated with non-CM -curves over imaginary quadratic fields, using various tools for…