Research preprints and publications:
On the rank and the velocity of convergence towards the Sato--Tate 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 k-curves and the realizability of all genus 2 Sato-Tate groups over a number field (with X. Guitart), to appear in Transactions of the American Mathematical Society.
Sato-Tate groups of y^2=x^8+c and y^2=x^7-cx (with A.V. Sutherland), Contemporary Mathematics 663 (2016), 103--126.
On the singularity of the Demjanenko matrix of quotients of Fermat curves (with I.E. Shparlinski), Proc. Amer. Math. Soc. 144 (2016), no. 1, 55--63.
Some instances of the effective Sato-Tate 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), 361--394.
Sato-Tate distributions of twists of the Fermat and Klein quartics (with E. Lorenzo, A.V. Sutherland), preprint.
Sato-Tate groups of some weight 3 motives (with K.S. Kedlaya and A.V. Sutherland), Contemporary Mathematics 663 (2016), 57--101.
Sato-Tate distributions of twists of y^2=x^5-x and y^2=x^6+1 (with A.V. Sutherland), Algebra & Number Theory 8 n. 3 (2014), 543--585.
Sato-Tate distributions and Galois endomorphism modules in genus 2 (with K.S. Kedlaya, A.V. Sutherland, V. Rotger), Compositio Mathematica 148 n. 5 (2012), 1390--1442.
The twisting representation of the L-function of a curve (with J-C. Lario), Revista Matemática Iberoamericana, 29 n. 3 (2013), 749--764.
Artin representations attached to pairs of isogenous abelian varieties, Journal of Number Theory 133 n. 4 (2013), 1331--1345.
Appendix to Christian Johansson's article: On the Sato-Tate conjecture for non-generic abelian surfaces, to appear in Transactions of the American Mathematical Society.
Appendix (or rather a comment) to Joan-Carles Lario and Anna Somoza's article: The Sato-Tate 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 UB-UAB-UPC.
Expository note: Equidistribution, L-functions, and Sato-Tate groups, Contemporary Mathematics 649 (2015), 63--88.
Expository note: Sèries de Dirichlet associades a formes modulars de Siegel, Notes del Seminari de Teoria de Nombres UB-UAB-UPC, Bayer-Nart-Quer, ISBN: 978-84-934244-7-3, Barcelona, 2009.
New pictures of old paintings
Talks in conferences or seminars
Some past conferences attended
Number Theory Special Month, Barcelona, 23 January--24 February, 2017.
p-adic methods for Galois representations and modular forms, Barcelona, 13--17 February, 2017.
Arithmetic Aspects of Explicit Moduli Problems, Banff International Research Station, 28 May--2 June, 2017.
I did my thesis within the Number Theory Research Group of Universitat Politècnica de Catalunya, under the supervision of Joan-C. 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 Duisburg-Essen 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