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Faculty of Mathematics

 

Dr Adam Morgan

Research interests: Number theory, arithmetic geometry

Publications

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)
Tate module and bad reduction
T Dokchitser, V Dokchitser, A Morgan
– Proceedings of the American Mathematical Society
(2021)
149,
1361
(doi: 10.1090/proc/15067)
The $4$-rank of class groups of $K(\sqrt{n})$
P Koymans, A Morgan, H Smit
(2021)
(link to publication)
On 2-Selmer groups of twists after quadratic extension
A Morgan, R Paterson
(2020)
(link to publication)
Quadratic twists of abelian varieties and disparity in Selmer ranks
A Morgan
– Algebra & Number Theory
(2019)
13,
839
(doi: 10.2140/ant.2019.13.839)
Semistable types of hyperelliptic curves
T Dokchitser, V Dokchitser, C Maistret, A Morgan
– Contemporary Mathematics
(2019)
724,
73
(doi: 10.1090/conm/724/14586)
Tate module and bad reduction
T Dokchitser, V Dokchitser, A Morgan
(2018)
(link to publication)
Quadratic twists of abelian varieties and disparity in Selmer ranks
A Morgan
(2017)
(link to publication)
2-Selmer Parity for Hyperelliptic Curves in Quadratic Extensions
A Morgan
(2015)
(link to publication)
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Email

ajm269@cam.ac.uk

Room

C1.04

Telephone

01223 766851

Personal homepage

https://amorgan516.github.io/

Study at Cambridge

About the University

Research at Cambridge