Research preprints and publications:
Endomorphism algebras of geometrically split abelian surfaces over Q (with X. Guitart), submitted.
On the Hilbert eigenvariety at exotic and CM classical weight 1 points (with A. Betina, S.V. Deo), submitted.
SatoTate distributions of twists of the Fermat and the Klein quartics (with E. Lorenzo, A.V. Sutherland), to appear in Research in Mathematical Sciences.
On the rank and the convergence rate towards the SatoTate measure (with X. Guitart), to appear in I.M.R.N.
Del Pezzo surfaces over finite fields and their Frobenius traces (with B. Banwait, D. Loughran), to appear in Mathematical Proceedings of the Cambridge Philosofical Society. Code.
Fields of definition of elliptic kcurves and the realizability of all genus 2 SatoTate groups over a number field (with X. Guitart), Transactions of the American Mathematical Society 370, n. 7 (2018), 46234659.
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. 68 n. 2 (2016), 361394.
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, Trans. Amer. Math. Soc. 369 (2017), 63036325 .
Appendix to JoanCarles Lario and Anna Somoza's article: The SatoTate conjecture for a Picard curve with complex multiplication, Contemporary Mathematics 701 (2018), 151165.
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:
Simons Collaboration on Arithmetic Geometry, Number Theory, and Computation Annual Meeting, Gerald D. Fischbach Auditorium,
New York, 1011 January, 2019.
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, and a BGSMathMaría de Maeztu postdoctoral fellow for 2 more years again at Universitat Politècnica de Catalunya. I am heartfully thankful to the institutions and individuals that have welcomed me during all these years.
Last modified on 21st September 2018
