Papers and preprints

Note: The actual published versions may be slightly different than the arXiv versions given below.

Click on the title for the abstract and links to the paper.

  1. Plectic p-adic invariants (with M. Fornea and X. Guitart). Submitted.
  2. A quaternionic construction of p-adic singular moduli (with X. Guitart and X. Xarles). To appear in Research in the Mathematical Sciences (2021).
  3. Special values of triple-product p-adic L-functions and non-crystalline diagonal classes (with F. Gatti, X. Guitart and V. Rotger). To appear in J. Th. Nombres Bordeaux (Iwasawa 2019 special issue).
  4. An automorphic approach to Darmon points (with X. Guitart and S. Molina). Indiana Univ. Math. J. 69 (2020), no. 4, 1251–1274.
  5. Computing p-adic periods of abelian varieties from automorphic forms (with X. Guitart). Automorphic forms and related topics, 75–83, Contemp. Math., 732, Amer. Math. Soc., Providence, RI, 2019.
  6. Periods of modular GL2-type abelian varieties and p-adic integration (with X. Guitart). Experimental Mathematics (2018), volume 27, issue 3, pp 344-361.
  7. (Appendix to) On Heegner points for primes of additive reduction ramifying in the base field (with A. Pacetti and D. Kohen). Transactions of the AMS, Volume 370 (2018), pp. 911-926.
  8. Uniformization of modular elliptic curves via p-adic methods (with X. Guitart and M.H. Sengun). Journal of Algebra, Volume 445, 1 January 2016, pp. 458-502.
  9. Dirac operators in tensor categories and the motive of quaternionic modular forms (with M. Seveso). Advances in Mathematics, Volume 313, 20 June 2017, pp. 628–688.
  10. Poincare duality isomorphisms in tensor categories (with M. Seveso). Journal of Pure and Applied Algebra, Volume 222, Issue 10, October 2018, pp. 3075-3123.
  11. Darmon points on elliptic curves over number fields of arbitrary signature (with X. Guitart and M.H. Sengun). Proc. Lond. Math. Soc. (2015) 111 (2), pp. 484-518.
  12. A p-adic construction of ATR points on Q-curves (with X. Guitart). Publ. Mat. 59 (2015), 511-545.
  13. Overconvergent cohomology and quaternionic Darmon points (with X. Guitart). J. Lond. Math. Soc. (2) 90 (2014), no. 2, 495-524.
  14. Elementary matrix decomposition and the computation of Darmon points with higher conductor (with X. Guitart). Mathematics of Computation. Vol. 84 (2015) , N. 292, pp. 875–893.
  15. Computing fundamental domains for the Bruhat-Tits tree for GL_2(Qp), p-adic automorphic forms, and the canonical embedding of Shimura curves (with C. Franc). LMS Journal of Computation and Mathematics (2014), volume 17, issue 01, pp. 1-23.
  16. Computation of ATR Darmon points on non-geometrically modular elliptic curves (with X.Guitart). Experimental Mathematics (2013), volume 22, issue 1, pp 85-98.
  17. Continued fractions in 2-stage euclidean quadratic fields (with X. Guitart). Mathematics of Computation (2013), volume 82, issue 282, pp. 1223-1233.
  18. CM cycles on Shimura curves, and p-adic L-functions. Compositio Mathematica (2012), volume 148, issue 04, pp. 1003-1032.
  19. Bezout domains and elliptic curves. Comm. Algebra 36 (2008), no. 12, 4492-4499 (with I. Goldbring)
  20. A note on dihedral polynomials of prime degree. Indian J. Pure Appl. Math. 36 (2005), no. 6, 295-300. (with J.-C. Lario)

Ph.D. Thesis