I am a Ramon y Cajal Research Fellow at Universitat Autònoma de Barcelona. I obtained my PhD at McGill University in 2010. I enjoyed a Ritt Assistant Professor position at Columbia University, a visiting position at the MPIM Bonn, and a Marie Curie Individual Fellowship at the University of Warwick before joinging UAB in 2017.
My main research interest is the explicit construction of conjectural points and periods in abelian varieties using local analytic methods. With Xavier Guitart and other coauthors we have been building an ample body of evidence towards several conjectures involving these quantities.
Personal webpage: https://mat.uab.cat/~masdeu
- Rational points on elliptic curves, (Stark-)Heegner points and their effective computation.
- Computational aspects of the cohomology of arithmetic groups.
- Formal theorem proving/verification.
A quaternionic construction of p-adic singular moduli. X. Guitart, M. Masdeu, X. Xarles. Research in the Mathematical Sciences volume 8 (2021).
Dirac operators in tensor categories and the motive of quaternionic modular forms. M. Masdeu, M. Seveso. Advances in Mathematics, Volume 313, 20 June 2017, pp. 628–688.
Darmon points on elliptic curves over number fields of arbitrary signature. X. Guitart, M. Masdeu, and H. Sengun. P. Lond. Math. Soc. (3) 111 (2015), no. 2, 484-518.
Overconvergent cohomology and quaternionic Darmon points. X. Guitart, M. Masdeu. J. Lond. Math. Soc. (2) 90 (2014), no. 2, 495–524.
CM cycles on Shimura curves, and p-adic L-functions. M. Masdeu. Compositio Mathematica (2012), volume 148, issue 04, pp. 1003-1032.