Papers:

• Hyperelliptic curves covering an elliptic curve twice. Preprint pdf Arxiv


• On a conjecture of Rudin on squares in arithmetic progressions. (joint with E. González Jiménez). To appear in LMS Journal of Computation and Mathematics. pdf data


• Trivial points on towers of curves. Journal de Théorie des Nombres de Bordeaux 25 (2013) 477-498. pdf doi


• Bielliptic and hyperelliptic modular curves X(N) and the group Aut(X(N)). (joint with F. Bars and A. Kontogeorgis). Acta Arith. 161 (2013), 283-299 pdf doi


• Five squares in arithmetic progression over quadratic fields. (joint with E. González Jiménez). Revista Matemática Iberoamericana 29, no. 4, 1211-1238 (2013). pdf doi data


• Squares in arithmetic progression over number fields. J. Number Theory 132 (2012), no. 3, 379-389. pdf doi


• Rational periodic sequences for the Lyness recurrence. (joint with A. Gasull and V. Mañosa) Discrete Contin. Dyn. Syst. 32 (2012), no. 2, 587-604. pdf doi


• On symmetric square values of quadratic polynomials (joint with E. González Jiménez). Acta Arithmetica 149, 145-159 (2011). pdf doi data.


• Formal completions of Néron models for algebraic tori (joint with O. Demchenko and A. Gurevich). Proc. Lond. Math. Soc. (3) 100 (2010), no. 3, 607-638 pdf doi


• Perturbations of L-functions with or without non-trivial zeros off the critical line. (joint with P. M. Gauthier). in New directions in value-distribution theory of zeta and L-functions, 65-83, Ber. Math., Shaker Verlag, Aachen, 2009. pdf


• Local bounds for torsion points on abelian varieties (joint with P. L. Clark). Canad. J. Math. 60 (2008), no. 3, 532-555. pdf doi


• On the Étale Cohomology of Algebraic Varieties with Totally Degenerate Reduction over p-adic Fields.. (joint with W. Raskind). J. Math. Sci. Univ. Tokyo Vol. 14 (2007), No. 2, Page 261--291.pdf abstract


• On p-adic intermediate Jacobians. (joint with W. Raskind). Trans. Amer. Math. Soc. 359 (2007), 6057-6077 pdf doi


• El ABC de la Aritmética.Gaceta de la Real Sociedad Matemática Española Vol. 11 (2): 291-308 (2008)pdf articulo


• Orbits of Galois invariant n-sets of P1 under the action of PGL_2. (joint with A. López, D. Maisner and E. Nart) Finite Fields Appl., 8 (2002), pp. 193-206 pdf doi


• Component groups of Néron models via rigid uniformization. (joint with S. Bosch) Math. Ann. 306, 459-486, 1996. pdf doi


• The scheme of connected components of the Néron model of an algebraic torus. J. reine angew. Math. 437 (1993), 167-179. pdf doi


• Additive reduction of algebraic tori. (joint with E. Nart) Arch. Math. 57, 460-466 (1991) pdf doi