![](http://www.dpmms.cam.ac.uk/files/styles/portrait/public/portraits/jcsl5.jpg?itok=21VKgKzN)
Research Interests:
Arithmetic Geometry
Publications
100% of odd hyperelliptic Jacobians have no rational points of small
height
(2024)
A positive proportion of monic odd-degree hyperelliptic curves of genus
$g \geq 4$ have no unexpected quadratic points
(2024)
Rational torsion points on abelian surfaces with quaternionic
multiplication
(2023)
The average size of the 2-Selmer group of a family of non-hyperelliptic curves of genus 3
– Algebra & Number Theory
(2022)
16,
1161
(doi: 10.2140/ant.2022.16.1161)
Graded Lie Algebras, Compactified Jacobians and Arithmetic Statistics
(2021)
(doi: 10.17863/CAM.84919)
The average size of the 2-Selmer group of a family of non-hyperelliptic
curves of genus 3
– Alg. Number Th.
(2020)
16,
1161