Research preprints and publications:
Abelian threefolds with imaginary multiplication (with P. Goodman), J. Lond. Math. Soc. (2) 114, no. 1, (2026).
Geometrically simple counterexamples to a local-global principle for quadratic twists (with E. Ambrosi, N. Coppola), Math. Z. 311 no. 64 (2015).
Abelian varieties genuinely of GLn-type (with E. Florit, X. Guitart), Res. Math. Sci. 13:76 (2016), 33 pages.
Frobenius sign separation for abelian varieties (with A. Bucur, K.S. Kedlaya), to appear in Proc. Amer. Math. Soc.
Endomorphism algebras of geometrically split genus 2 Jacobians over Q (with E. Florit, X. Guitart), submitted.
A local-global principle for polyquadratic twists of abelian surfaces (with A. Perucca), Indiana Univ. Math. J. 73 no. 6 (2024), 2135--2154.
On a local-global principle for quadratic twists of abelian varieties, Math. Ann. 388 (2024), 769--794.
Sato-Tate groups of abelian threefolds (with K.S. Kedlaya and A.V. Sutherland), Mem. Amer. Math. Soc. 312 no. 1582 (2025).
Computing L-Polynomials of Picard curves from Cartier-Manin matrices. With an appendix by A.V. Sutherland (with S. Asif, D. Pentland), Math. Comp. 91 no. 334 (2022), 943--971.
Ordinary primes for some varieties with extra endomorphisms, Pub. Mat. 68 (2024), 27--40.
Effective Sato-Tate conjecture for abelian varieties and applications (with A. Bucur, K.S. Kedlaya), J. Eur.
Math. Soc. 26 (2024), 1713--1746.
Sato-Tate groups of abelian threefolds: a preview of the classification (with K. S. Kedlaya, A.V. Sutherland), Contemp. Math. 770 (2021), 103--129.
Arithmetic invariants from Sato-Tate moments (with E. Costa, A.V. Sutherland), C. R. Math. Acad. Sci. Paris 357 (2019), 823--826.
Tate module tensor decompositions and the Sato-Tate conjecture for certain abelian varieties potentially of GL2-type (with X. Guitart), Math. Z. 300 (2022), 2975--2995.
Endomorphism algebras of geometrically split abelian surfaces over Q (with X. Guitart), Algebra Number Theory 14 no. 6 (2020), 1399--1421.
On the Hilbert eigenvariety at exotic and CM classical weight 1 points (with A. Betina, S.V. Deo), Math. Z. 298 no. 3 (2021), 1077--1096.
Sato-Tate distributions of twists of the Fermat and the Klein quartics (with E. Lorenzo, A.V. Sutherland), Res. Math. Sci. 5 (2018), 41 pages.
On the rank and the convergence rate towards the Sato--Tate measure (with X. Guitart), Int. Math. Res. Not. IMRN 13 (2019), 4081--4118.
Del Pezzo surfaces over finite fields and their Frobenius traces (with B. Banwait, D. Loughran), Math. Proc. Cambridge Philos. Soc. 167 (2019), 35--60. 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), Trans. Amer. Math. Soc. 370 no. 7 (2018), 4623--4659. Erratum.
Sato-Tate groups of y^2=x^8+c and y^2=x^7-cx (with A.V. Sutherland), Contemp. Math. 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 no. 1 (2016), 55--63.
Equidistribution, L-functions, and Sato-Tate groups, Contemp. Math. 649 (2015), 63--88.
Frobenius distribution for quotients of Fermat curves of prime exponent (with J. González, J.-C. Lario), Canad. J. Math. 68 no. 2 (2016), 361--394.
Sato-Tate groups of some weight 3 motives (with K.S. Kedlaya and A.V. Sutherland), Contemp. Math. 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 no. 3 (2014), 543--585.
Sato-Tate distributions and Galois endomorphism modules in genus 2 (with K.S. Kedlaya, A.V. Sutherland, V. Rotger), Compos. Math. 148 no. 5 (2012), 1390--1442.
The twisting representation of the L-function of a curve (with J-C. Lario), Rev. Mat. Iberoam., 29 no. 3 (2013), 749--764.
Artin representations attached to pairs of isogenous abelian varieties, J. Number Theory 133 no. 4 (2013), 1331--1345.
Other contributions:
Appendix (with X. Guitart) to Fabien Narbonne's article: Polarized products of elliptic curves with complex multiplication and field of moduli Q, Polynesian Journal of Mathematics 1 no. 5 (2024), 1--33.
Appendix to Christian Johansson's article: On the Sato-Tate conjecture for non-generic abelian surfaces, Trans. Amer. Math. Soc. 369 (2017), 6303--6325.
Appendix to Joan-Carles Lario and Anna Somoza's article: The Sato-Tate conjecture for a Picard curve with complex multiplication, Contemp. Math. 701 (2018), 151--165.
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.
Talks in conferences or seminars
Some past conferences attended
Teaching
Research and learning seminars
Coming events:
Serre 100, Institut Henri Poincaré, Paris, September 15--16, 2026.
Barcelona Mathematical Days 2026, Institut d'estudis catalans, Barcelona, October 7--9, 2026.
Isogenies, Cryptography and Explicit Arithmetic GEometry, Universitat de Lleida, October 28--30, 2026.
CV
I did my thesis within the Number Theory Research Group of Universitat Politècnica de Catalunya (UPC), 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, the University of Duisburg-Essen, and UPC/BGSmath. I was a member at the Institute for Advanced Study for the academic year 2018-19 and then a research scientist at MIT from 2019 until 2021. Before becoming Professor Agregat, I was a Ramón y Cajal research fellow at UB. I am heartfully thankful to the institutions and individuals that have welcomed me during my career.
Last modified on September 12, 2026
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