Research Interests:
Arithmetic Geometry
Publications
Ceresa cycles of bielliptic Picard curves
– Journal für die reine und angewandte Mathematik (Crelles Journal)
(2025)
2025,
23
(doi: 10.1515/crelle-2024-0102)
Rational torsion points on abelian surfaces with quaternionic multiplication
– Forum of Mathematics Sigma
(2024)
12,
e92
(doi: 10.1017/fms.2024.105)
Graded Lie algebras, compactified Jacobians and arithmetic statistics
– Journal of the European Mathematical Society
(2024)
(doi: 10.4171/jems/1526)
A Positive Proportion of Monic Odd-Degree Hyperelliptic Curves of Genus $g \geq 4$ Have no Unexpected Quadratic Points
– International mathematics research notices
(2024)
2024,
12857
(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)
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