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Department of Pure Mathematics and Mathematical Statistics

 

Research Interests:

Arithmetic Geometry

 

Publications

Graded Lie algebras, compactified Jacobians and arithmetic statistics
J Laga
– Journal of the European Mathematical Society
(2024)
A Positive Proportion of Monic Odd-Degree Hyperelliptic Curves of Genus $g \geq 4$ Have no Unexpected Quadratic Points
J Laga, AA Swaminathan
– International mathematics research notices
(2024)
2024,
12857
Vanishing criteria for Ceresa cycles
J Laga, A Shnidman
(2024)
100% of odd hyperelliptic Jacobians have no rational points of small height
J Laga, JA Thorne
(2024)
A positive proportion of monic odd-degree hyperelliptic curves of genus $g \geq 4$ have no unexpected quadratic points
J Laga, AA Swaminathan
(2024)
Ceresa cycles of bielliptic Picard curves
J Laga, A Shnidman
(2023)
Rational torsion points on abelian surfaces with quaternionic multiplication
J Laga, C Schembri, A Shnidman, J Voight
(2023)
The geometry and arithmetic of bielliptic Picard curves
J Laga, A Shnidman
(2023)
The average size of the 2-Selmer group of a family of non-hyperelliptic curves of genus 3
J Laga
– Algebra & Number Theory
(2022)
16,
1161
Arithmetic statistics of Prym surfaces
J Laga
– Mathematische Annalen
(2022)
386,
247
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Room

EL.06

Telephone

01223 764245