12 citations · 23 across the 5 of their papers we have counts for
5 papers
Bounds on the number of rational points of curves in families
Pedro Lemos, Alex Torzewski
In this note, we give an alternative proof of uniform boundedness of the number of integral points of smooth projective curves over a fixed number field with good reduction outside…
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…
Some cases of Serre's uniformity problem
Pedro Lemos
We show that if is an elliptic curve without complex multiplication and for which there is a prime such that the image of is contained in the norma…
Serre's Uniformity Conjecture for Elliptic Curves with Rational Cyclic Isogenies
Pedro Lemos
Let be an elliptic curve over such that and which admits a non-trivial cyclic -isogeny. We prove that,…
Residual Representations of Semistable Principally Polarized Abelian Varieties
Samuele Anni, Pedro Lemos, Samir Siksek
Let be a semistable principally polarized abelian variety of dimension defined over the rationals. Let be a prime and let $\barρ_{A,\ell} : G_{\mathbb{Q}} \rightarro…