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 research interests centre around the arithmetic of abelian varieties, Galois representations and moduli spaces (especially modular and Shimura curves).


Papers and preprints:
-- Rational torsion points on abelian surfaces with quaternionic multiplication, with Jef Laga, Ari Shnidman and John Voight. arXiv
-- Rational points on Atkin–Lehner quotients of geometrically hyperelliptic Shimura curves, with Oana Padurariu. Expositiones Mathematicae, 2023
-- On rational Bianchi newforms and abelian surfaces with quaternionic multiplication, with John Cremona, Lassina Dembele, Ariel Pacetti and John Voight. Simons Symposia, 2021
-- Examples of genuine QM surfaces which are modular. Research in Number Theory, 2019
PhD thesis:
-- Modularity of abelian surfaces over imaginary quadratic fields. PhD thesis