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papers

Publications (51)

math.NT2003

Modularity of abelian surfaces with Quaternionic Multiplication

Luis Dieulefait

math.NT2018

Raising the level at your favorite prime

Luis Dieulefait, Eduardo Soto

math.NT2008

Solving Fermat-type equations x^5+y^5=dz^p

Nicolas Billerey, Luis Dieulefait

math.NT2014

Connectedness of Hecke Algebras and the Rayuela conjecture: a path to functoriality and modularity

Luis Dieulefait, Ariel Pacetti

math.NT2001

On the images of modular and geometric three-dimensional Galois represetations

Luis Dieulefait, Nuria Vila

math.NT2016

A result on the equation $x^p + y^p = z^r$ using Frey abelian varieties

Nicolas Billerey, Imin Chen, Luis Dieulefait +1

math.NT2007

How to facet a gemstone: from potential modularity to the proof of Serre's modularity conjecture

Luis Dieulefait

math.NT2011

The Fermat-type equations x^5 + y^5 = 2z^p or 3z^p solved through Q-curves

Luis Dieulefait, Nuno Freitas

math.NT2016

Possible connection between a generalized Maeda's conjecture and local types

Luis Dieulefait, Panagiotis Tsaknias

math.NT2004

Appendix to: The level 1 weight 2 case of Serre's conjecture - a strategy for a proof

Luis Dieulefait

math.NT2007

Small primitive roots and malleability of RSA moduli

Luis Dieulefait, Jorge Jimenez Urroz

math.NT2003

Modularity of rigid Calabi-Yau threefolds over Q

Luis Dieulefait, Jayanta Manoharmayum

math.NT2003

Solving diophantine equations x^4 + y^4 = q z^p

Luis Dieulefait

math.NT2003

Modular congruences, Q-curves, and the diophantine equation x^4 + y^4 = z^p

Luis Dieulefait

math.NT2014

Base change for Elliptic Curves over Real Quadratic Fields

Luis Dieulefait, Nuno Freitas

math.NT2008

The level 1 case of Serre's conjecture revisited

Luis Dieulefait

math.NT2004

Existence of non-elliptic mod l Galois representations for every l >5

Luis Dieulefait

math.NT2003

Galois characterization of Endoscopy for rational Siegel modular forms

Luis Dieulefait

math.NT2004

On abelian surfaces with potential quaternionic multiplication

Luis Dieulefait, Victor Rotger

math.NT2011

Remarks on Serre's modularity conjecture

Luis Dieulefait

math.NT2010

On fields of definition of torsion points of elliptic curves with complex multiplication

Luis Dieulefait, E. Gonzalez-Jimenez, J. Jimenez Urroz

math.NT2009

On Modular Forms and the Inverse Galois Problem

Luis Dieulefait, Gabor Wiese

math.NT2011

On the classification of geometric families of 4-dimensional Galois representations

Luis Dieulefait, Nuria Vila

math.NT2005

On the level p weight 2 case of Serre's conjecture

Luis Dieulefait

math.NT2017

Constructing Hilbert modular forms whithout exceptional primes

Luis Dieulefait, Adrian Zenteno

math.NT2017

On congruences between normalized eigenforms with different sign at a Steinberg prime

Luis Dieulefait, Eduardo Soto

math.NT2005

Elliptic mod \ell Galois representations which are not minimally elliptic

Luis Dieulefait

math.NT2008

Proving modularity for a given elliptic curve over an imaginary quadratic field

Luis Dieulefait, Lucio Guerberoff, Ariel Pacetti

math.NT2008

Congruences between modular forms and lowering the level mod l^n

Luis Dieulefait, Xavier Taixes i Ventosa

math.NT2007

A control theorem for the images of Galois actions on certain infinite families of modular forms

Luis Dieulefait

math.NT2014

Classification of subgroups of symplectic groups over finite fields containing a transvection

Sara Arias-de-Reyna, Luis Dieulefait, Gabor Wiese

math.NT2010

On the modularity of rigid Calabi-Yau threefolds: Epilogue

Luis Dieulefait

math.NT2013

Compatible systems of symplectic Galois representations and the inverse Galois problem III. Automorphic construction of compatible systems with suitable local properties

Sara Arias-de-Reyna, Luis Dieulefait, Sug Woo Shin +1

math.NT2004

Geometric families of 4-dimensional Galois representations with generically large images

Luis Dieulefait, Nuria Vila

math.NT2007

Uniform behavior of families of Galois representations on Siegel modular forms and the Endoscopy Conjecture

Luis Dieulefait

math.NT2007

The level 1 weight 2 case of Serre's conjecture

Luis Dieulefait

math.NT2003

Galois actions on Q-curves and Winding Quotients

Francesc Bars, Luis Dieulefait

math.NT2012

Automorphy lifting for small l

Luis Dieulefait, Toby Gee

math.NT2012

Fermat-type equations of signature (13,13,p) via Hilbert cuspforms

Luis Dieulefait, Nuno Freitas

math.NT2004

From potential modularity to modularity for integral Galois representations and rigid Calabi-Yau threefolds

Luis Dieulefait

math.NT2004

Computing the level of a modular rigid Calabi-Yau threefold

Luis Dieulefait

math.NT2018

On the number of Galois orbits of newforms

Luis Dieulefait, Ariel Pacetti, Panagiotis Tsaknias

math.NT2012

Modularity of the Consani-Scholten quintic

Luis Dieulefait, Ariel Pacetti, Matthias Schuett

math.NT2004

Explicit determination of images of Galois representations attached to Hilbert modular forms

Luis Dieulefait, Mladen Dimitrov

math.NT2014

Compatible systems of symplectic Galois representations and the inverse Galois problem II. Transvections and huge image

Sara Arias-de-Reyna, Luis Dieulefait, Gabor Wiese

math.NT2011

Modular forms with large coefficient fields via congruences

Luis Dieulefait, Jorge Jimenez Urroz, Kenneth Ribet

math.NT2008

Solving Fermat-type equations $x^4 + d y^2 = z^p$ via modular Q-curves over polyquadratic fields

Luis Dieulefait, Jorge Jimenez Urroz

math.NT2003

Existence of families of Galois representations and new cases of the Fontaine-Mazur conjecture

Luis Dieulefait

math.NT2018

On the images of the Galois representations attached to generic automorphic representations of GSp(4)

Luis Dieulefait, Adrian Zenteno

math.NT2013

Compatible systems of symplectic Galois representations and the inverse Galois problem I. Images of projective representations

Sara Arias-de-Reyna, Luis Dieulefait, Gabor Wiese

math.NT2011

Langlands Base Change for GL(2)

Luis Dieulefait