Ciaran Schembri

Math Research

I spent 5 years as a Research Scientist at Dartmouth College, working with John Voight as part of the Simons Collaboration . My research interests were in computational number theory. I received my PhD from the University of Sheffield under the supervision of Haluk Sengun.

Papers and preprints:

• Rational torsion points on abelian surfaces with quaternionic multiplication, with Jef Laga, Ari Shnidman and John Voight. Forum of Mathematics, Sigma, 2024
• 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
• Modularity of abelian surfaces over imaginary quadratic fields. PhD thesis