This is a list of my publications so far:


On Heegner points for primes of additive reduction ramifying in the base field. with Daniel Kohen (and an appendix by Marc Masdeu).pdf


Theta Lifts of Bianchi Modular Forms and Applications to Paramodularity. with Tobias Berger, Lassina Dembele and Mehmet Haluk Sengun; to appear in the Journal of the London Mathematical Society. pdf


Heegner Points on Cartan non-split curves. with Daniel Kohen; to appear in the Canadian Journal of Mathematics. pdf


Congruences between modular forms modulo prime powers. with Maximiliano Camporino; submitted. pdf For the example section, here are the files CongruencesRoutines.gp and E17a1example.txt and its output (at my home computer with the timings) E17a1example.output.txt


Connectedness of Hecke Algebras and the Rayuela conjecture: a path to functoriality and modularity. with Luis Dieulefait; submitted. pdf

Hecke and Sturm bounds for Hilbert modular forms over real quadratic fields with José Ignacio Burgos Gil; submitted. pdf


Computing ideal classes representatives in quaternion algebras with Nicolás Sirolli; Math. Comp. (2014). pdf


On the change of root numbers under twisting and applications, Proceedings of the AMS 141 (2013) n.8. pdf


Modularity of the Consani-Scholten quintic with Luis Dieulefait and Matthias Schuett (and an appendix with Jose Burgos Gil) Documenta Mathematica 17 (2012). pdf.


Shimura correspondence for level $p^2$ and the central values of L-series II with Gonzalo Tornaría; to appear in the IJNT pdf.


Proving Modularity for a given elliptic curve over an imaginary quadratic field with Luis Dieulefait and Lucio Guerberoff; Math. Comp. 79 N. 270 (2010) pdf.


Shimura Correspondence and Central values of twisted L-series Proceedings of the "Segundas Jornadas de Teoría de Números" pdf, ISBN: 978-84-612-8007-0.


Computing central values of twisted L-series, the case of composite levels with Gonzalo Tornaría, Exp. Math. 17 N. 4 (2008) pdf.


On the embedding problem for 2^+S_ 4 representations, Math. Comp. 76 N. 260 (2007) pdf.


Shimura Correspondance for level p^2 and the central values of L-series with Gonzalo Tornaría, Journal of Number Theory 124 N. 2 (2007) pdf.


Newton-Hensel Interpolation Lifting with Martín Avendaño and Teresa Krick. Found. of Comp. Math. 6 (1) 2006 pdf.


Examples of Shimura Correspondance for level p^2 and real quadratic twists with Gonzalo Tornaría, Ranks of elliptic curves and random matrix theory, pp. 289-314. pdf.


A formula for the central value of certain Hecke L-series (my Ph.D. thesis). Journal of Number Theory 113 (2005) dvi.


Computing Modular Forms of level p^2 with Fernando Rodriguez Villegas, Math. Comp. 74 (2005) dvi.


My Ph.D. thesis at the University of Texas at Austin pdf.


You can find some Pari/GP scripts in the web page CNT.


Unpublished works:

Preimages for the Shimura map on Hilbert modular forms with Nicolás Sirolli (survey article). pdf