Santiago Molina Blanco

Santiago Molina Blanco

PhD in Mathematics (UPC)
Fellow at CRM
Tutor:  Luis Dieulefait
Group: Number Theory at UB

email: smolina@crm.cat

Biosketch

I am a postdoc researcher in Number Theory and specifically in Arithmetic Geometry. My PhD thesis, called Ribet bimodules, specialization of Heegner points and applications, studies the reduction of certain points on modular and Shimura curves. Currently I’m interested in Iwasawa theory p-adic L-functions. Previous positions: Beatriu de Pinós postdoc researcher at UPC in 2014, AFR postdoc at University of Luxembourg in 2013 and postdoc at University of Bielefeld (Germany) form 2011 to 2013.

Research Interests

Shimura curves, automorphic forms, Galois representations, L-functions, Iwasawa theory

Publications

  • X. Guitart, S. Molina, Parametrization of abelian K -surfaces with quaternionic multiplication, Comptes rendus – Mathematique , (347):1325-1330, 2009, http://dx.doi.org/10.1016/j.crma.2009.09.025 .
  • S. Molina, Ribet bimodules and specialization of Heegner points, Israel Journal of Mathematics , (189):1-38, 2012, DOI: 10.1007/s11856-011-0172-8 .
  • S. Molina, Equations of hyperelliptic Shimura curves, Proceedings of the London Mathematical Society (3) 105 (2012) 891-920, doi: 10.1112/plms/pds020 .
  • S. Molina, V. Rotger, Automorphisms and reduction of Heegner points on Shimura curves at Cerednik-Drinfeld primes, Proceedings of the American Mathematical Society 142 (2014), 381-390 .
  • J. Gonzalez, S. Molina, The kernel of Ribet’s isogeny for genus three Shimura curves, http://www.math.uni-bielefeld.de/sfb701/preprints/view/660 accepted in JMSJ.