Research preprints and publications:
On the rank and the velocity of convergence towards the SatoTate measure (with X. Guitart), preprint.
Del Pezzo surfaces over finite fields and their frobenius traces (with B. Banwait, D. Loughran), preprint. Code.
Fields of definition of elliptic kcurves and the realizability of all genus 2 SatoTate groups over a number field (with X. Guitart), to appear in Transactions of the American Mathematical Society.
SatoTate groups of y^2=x^8+c and y^2=x^7cx (with A.V. Sutherland), Contemporary Mathematics 663 (2016), 103126.
On the singularity of the Demjanenko matrix of quotients of Fermat curves (with I.E. Shparlinski), Proc. Amer. Math. Soc. 144 (2016), no. 1, 5563.
Some instances of the effective SatoTate conjecture (with A. Bucur, K.S. Kedlaya), preprint.
Frobenius distribution for quotients of Fermat curves of prime exponent (with J. González, J.C. Lario), Canad. J. Math. 144 n. 2 (2016), 361394.
SatoTate distributions of twists of the Fermat and Klein quartics (with E. Lorenzo, A.V. Sutherland), preprint.
SatoTate groups of some weight 3 motives (with K.S. Kedlaya and A.V. Sutherland), Contemporary Mathematics 663 (2016), 57101.
SatoTate distributions of twists of y^2=x^5x and y^2=x^6+1 (with A.V. Sutherland), Algebra & Number Theory 8 n. 3 (2014), 543585.
SatoTate distributions and Galois endomorphism modules in genus 2 (with K.S. Kedlaya, A.V. Sutherland, V. Rotger), Compositio Mathematica 148 n. 5 (2012), 13901442.
The twisting representation of the Lfunction of a curve (with JC. Lario), Revista Matemática Iberoamericana, 29 n. 3 (2013), 749764.
Artin representations attached to pairs of isogenous abelian varieties, Journal of Number Theory 133 n. 4 (2013), 13311345.
Other contributions:
Appendix to Christian Johansson's article: On the SatoTate conjecture for nongeneric abelian surfaces, to appear in Transactions of the American Mathematical Society.
Appendix (or rather a comment) to JoanCarles Lario and Anna Somoza's article: The SatoTate conjecture for a Picard curve with complex multiplication.
Expository note: Galois representations associated to ordinary Hibert modular forms: Wiles' theorem, to appear in Notes del Seminari de Teoria de Nombres UBUABUPC.
Expository note: Equidistribution, Lfunctions, and SatoTate groups, Contemporary Mathematics 649 (2015), 6388.
Expository note: Sèries de Dirichlet associades a formes modulars de Siegel, Notes del Seminari de Teoria de Nombres UBUABUPC, BayerNartQuer, ISBN: 9788493424473, Barcelona, 2009.
New pictures of old paintings
Talks in conferences or seminars
Some past conferences attended
Teaching
Coming events:
Number Theory Special Month, Barcelona, 23 January24 February, 2017.
padic methods for Galois representations and modular forms, Barcelona, 1317 February, 2017.
Arithmetic Aspects of Explicit Moduli Problems, Banff International Research Station, 28 May2 June, 2017.
CV
I did my thesis within the Number Theory Research Group of Universitat Politècnica de Catalunya, under the supervision of JoanC. Lario. After short research stays at the University of Cambridge, MIT and UCSD, I was a postdoc at the University of Bielefeld for 2,5 years. After this, I was a postdoc at the University of DuisburgEssen for 2 years. I am heartfully thankful to the institutions and individuals that have welcomed me during all these years.
Last modified on 21st December 2016
