Ciaran Schembri

I am a research associate at Dartmouth College, working with John Voight as part of the Simons Collaboration on arithmetic geometry, number theory and computation. My current research is centred on Shimura curves with level structure and torsion of abelian surfaces over the rationals which acquire endomorphisms by a quaternion algebra over some extension.


Papers and preprints:
-- On rational Bianchi newforms and abelian surfaces with quaternionic multiplication, with John Cremona, Lassina Dembele, Ariel Pacetti and John Voight. arXiv preprint, July 2019
-- Examples of genuine QM surfaces which are modular. Research in Number Theory, January 2019
PhD thesis:
-- Modularity of abelian surfaces over imaginary quadratic fields. PhD thesis