Research Interests:
Arithmetic Geometry
Publications
A Positive Proportion of Monic Odd-Degree Hyperelliptic Curves of Genus $g \geq 4$ Have no Unexpected Quadratic Points
– International Mathematics Research Notices
(2024)
rnae184
(doi: 10.1093/imrn/rnae184)
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)
Arithmetic statistics of Prym surfaces.
– Mathematische annalen
(2022)
386,
247
(doi: 10.1007/s00208-022-02398-5)
Graded Lie Algebras, Compactified Jacobians and Arithmetic Statistics
(2021)
(doi: 10.17863/CAM.84919)
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