Aquí hay una lista de mis artículos publicados a la fecha:
30. Q-curves, Hecke characters and some diophantine equations II. con Lucas Villagra Torcomian. Enviado pdf
29. On Galois representations of superellitic curves.. Enviado a publicar pdf
28. An exotic example of a tensor product of a CM elliptic curve and a weight $1$ form.. Enviado pdf
27. Q-curves, Hecke characters and some diophantine equations. con Lucas Villagra Torcomian. Enviado pdf
26. On 2-Selmer groups and quadratic twists of elliptic curves. con Daniel Barrera Salazar y Gonzalo Tornaría. Aceptado en Mathematical Research Letters pdf
25. On rational Bianchi newforms and abelian surfaces with quaternionic multiplication. con John Cremona, Lassina Dembélé, Ciaran Schembri and John Voight. Submitted pdf
24. On the number of Galois orbits of newforms. con Luis Dieulefait y Paganiotis Tsaknias. Aceptado en el Journal of the European Mathematical Society pdf
23. On the paramodularity of typical abelian surfaces. con Armand Brumer, Cris Poor, Gonzalo Tornaría, John Voight, y David S. Yuen. Algebra and Number Theory, Volume 13 Number 5 (2019), 1145-1195 pdf
22. On Elliptic Curves of prime power conductor over imaginary quadratic fields with class number one. con John Cremona. Proceedings of the London Mathematical Society 118, Issue 5 (2019) 1245-1276 pdf
21. Anticyclotomic p-adic L-functions for additive reduction primes. con Daniel Kohen. Comptes Rendus Mathematique 356, Issue 10 (2018) 973-983 pdf
20. Non-paritious Hilbert modular forms. con David Loeffler y Lassina Dembélé. Mathematische Zeitschrift 292, Issue 1-2 (2019) 361-385. pdf Publicado
19. On Heegner points for primes of additive reduction ramifying in the base field. con Daniel Kohen (and an appendix by Marc Masdeu); Trans. of the AMS 370 (2018) 911-926.pdf
18. Theta Lifts of Bianchi Modular Forms and Applications to
Paramodularity. con Tobias Berger, Lassina Dembele y
Mehmet Haluk Sengun; Journal of the London
Mathematical Society 92 (2015) 353-370. pdf Publicado
17. Heegner Points on Cartan non-split curves. con Daniel Kohen; Canadian Journal of Mathematics 68 (2016) 422-444.. pdf
16. Congruences between modular forms modulo prime powers. con Maximiliano Camporino; Revista Matemática Iberoamericana Volume 34 Issue 4 (2018), 1609-1643. 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
15. Connectedness of Hecke Algebras and the Rayuela conjecture: a path to functoriality and modularity. con Luis Dieulefait; Arithmetic and geometry, 193216, London Math. Soc. Lecture Note Ser., 420, Cambridge University Press (2015) pdf
14. Hecke and Sturm bounds for Hilbert modular forms over real
quadratic fields con José Ignacio Burgos Gil; Math. Comp. 86 (2017), 1527-1552. pdf
13. Computing ideal classes representatives in quaternion algebras con Nicolás Sirolli; Math. Comp. (2014). pdf
12. On the change of root numbers under twisting and applications, Proceedings of the AMS 141 (2013) n.8. pdf
11. Modularity of the Consani-Scholten quintic con Luis
Dieulefait and Matthias Schuett (and an appendix with Jose Burgos Gil)
Documenta Mathematica 17 (2012). pdf.
10. Shimura correspondence for level $p^2$ and the central values
of L-series II con Gonzalo Tornaría; International Journal of Number Theory Vol. 10, N. 07 (2014) 1595-1635 pdf.
9. Proving Modularity for a given elliptic
curve over an imaginary quadratic field con Luis Dieulefait and
Lucio Guerberoff; Math. Comp. 79 N. 270 (2010) pdf.
8. 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.
7. Computing central values of twisted L-series, the case of
composite levels con Gonzalo Tornaría, Exp. Math. 17
N. 4 (2008) pdf.
6. On the embedding problem for 2^+S_ 4 representations,
Math. Comp. 76 N. 260 (2007)
pdf.
5. Shimura Correspondance for level p^2 and the central values of
L-series con Gonzalo Tornaría, Journal of Number
Theory 124 N. 2 (2007) pdf.
4. Newton-Hensel Interpolation Lifting con
Martín Avendaño y Teresa Krick. Found. of
Comp. Math. 6 (1) 2006 pdf.
3. Examples of Shimura Correspondance for level p^2 and real
quadratic twists con Gonzalo Tornaría, Ranks of
elliptic curves and random matrix theory, pp. 289-314. pdf.
2. A formula for the central value of certain Hecke L-series (my
Ph.D. thesis). Journal of Number Theory 113 (2005) dvi.
1. Computing Modular Forms of level p^2 con Fernando
Rodriguez Villegas, Math. Comp. 74 (2005) dvi.
My Ph.D. thesis at the University of Texas at Austin
pdf.
Se puede encontrar código de Pari/GP
en la página web CNT.
Trabajos no publicados:
Preimages for the Shimura map on Hilbert modular forms with Nicolás Sirolli (survey article). pdf