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Department of Pure Mathematics and Mathematical Statistics

Dr Adam Morgan

Research interests: Number theory, arithmetic geometry

Publications

2‐Selmer parity for hyperelliptic curves in quadratic extensions
A Morgan
– Proceedings of the London Mathematical Society
(2023)
127,
1507
(doi: 10.1112/plms.12565)
Hasse principle for Kummer varieties in the case of generic 2-torsion
A Morgan
(2023)
(link to publication)
A note on hyperelliptic curves with ordinary reduction over 2-adic fields
V Dokchitser, A Morgan
– Journal of Number Theory
(2023)
244,
264
(doi: 10.1016/j.jnt.2022.08.009)
Parity of ranks of Jacobians of curves
V Dokchitser, H Green, A Konstantinou, A Morgan
(2022)
(link to publication)
Field change for the Cassels-Tate pairing and applications to class groups
A Morgan, A Smith
(2022)
(link to publication)
A user's guide to the local arithmetic of hyperelliptic curves
AJ Best, LA Betts, M Bisatt, R van Bommel, V Dokchitser, O Faraggi, S Kunzweiler, C Maistret, A Morgan, S Muselli, S Nowell
– Bulletin of the London Mathematical Society
(2022)
54,
825
(doi: 10.1112/blms.12604)
A note on hyperelliptic curves with ordinary reduction over 2-adic fields
V Dokchitser, A Morgan
(2022)
(link to publication)
Arithmetic of hyperelliptic curves over local fields
T Dokchitser, V Dokchitser, C Maistret, A Morgan
– Mathematische Annalen
(2022)
385,
1213
(doi: 10.1007/s00208-021-02319-y)
On 2‐Selmer groups of twists after quadratic extension
A Morgan, R Paterson
– Journal of the London Mathematical Society
(2022)
105,
1110
(doi: 10.1112/jlms.12533)
The Cassels-Tate pairing for finite Galois modules
A Morgan, A Smith
(2021)
(link to publication)
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Email

ajm269@cam.ac.uk

Room

C1.04

Telephone

01223 766851

Personal homepage

https://amorgan516.github.io/

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