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Faculty of Mathematics

 

My supervisor is Tom Fisher.

Research Interests: My research interests are in number theory and computational number theory.

Publications

Explicit $7$-torsion in the Tate-Shafarevich groups of genus $2$ Jacobians
S Frengley
(2024)
Generic models for genus 2 curves with real multiplication
A Cowan, S Frengley, K Martin
(2024)
An Algorithm for Efficient Detection of (N, N)-Splittings and Its Application to the Isogeny Problem in Dimension 2
M Corte-Real Santos, C Costello, S Frengley
(2024)
14603 LNCS,
157
Explicit moduli spaces for curves of genus 1 and 2
S Frengley
(2023)
On 12-congruences of elliptic curves
S Frengley
– International Journal of Number Theory
(2023)
20,
565
Congruences of elliptic curves arising from nonsurjective mod 𝑁 Galois representations
S Frengley
– Mathematics of Computation
(2022)
92,
409
On $12$-congruences of elliptic curves
S Frengley
(2022)
Congruences of elliptic curves arising from non-surjective mod $N$ Galois representations
S Frengley
(2021)

Research Group

Number Theory & Algebra

Room

E0.04

Telephone

01223 764253