Ciaran Schembri
Research Scientist | Mathematician
Math Research
I am a Research Scientist 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
Modularity of abelian surfaces over imaginary quadratic fields. PhD thesis
