34 citations · 110 across the 44 of their papers we have counts for
53 papers
On the computation of base-change lifts and lifts of Hida families
Iván Blanco-Chacón, Luis Dieulefait, Antti Haavikko
We derive an explicit formula for the Hecke eigenvalues of a Hilbert modular form which is a base-change lift of a classical newform to a totally real number field. We show that fo…
Modular supercuspidal lifts of weight
Iván Blanco-Chacón, Luis Dieulefait
Let be any totally real number field and an ideal of its ring of integers of norm and define, for every even , the -dimensional mul…
On Darmon's program for the generalized Fermat equation, I
Nicolas Billerey, Imin Chen, Luis Dieulefait +1
In 2000, Darmon described a program to study the generalized Fermat equation using modularity of abelian varieties of -type over totally real fields. The original ap…
A simplified proof of Serre's Conjectures
Luis Victor Dieulefait, Ariel Martín Pacetti
The purpose of this short note is to present a simplified proof of Serre's modularity conjecture using the strong modularity lifting results currently available. This second versio…
Potentially diagonalizable modular lifts of large weight
Iván Blanco-Chacón, Luis Dieulefait
We prove that for a Hecke cuspform and a prime such that , there exists an infinite family suc…
Factorization and malleability of RSA modules, and counting points on elliptic curves modulo N
Luis Dieulefait, Jorge Urroz
In this paper we address two different problems related with the factorization of an RSA module N. First we can show that factoring is equivalent in deterministic polynomial time t…