Pip Goodman

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20192026

most citedCubic and quartic points on modular curves using generalised symmetric Chabauty

1 citations · 2 across the 6 of their papers we have counts for

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math.NT2021

Endomorphism algebras of abelian varieties with large cyclic 2-torsion field over a given field

Pip Goodman

In this article we study the endomorphism algebras of abelian varieties $A$ defined over a given number field $K$ with large cyclic 2-torsion fields. A key step in doing so is to p…

math.NT2021★ 1 cited

Cubic and quartic points on modular curves using generalised symmetric Chabauty

Josha Box, Stevan Gajović, Pip Goodman

Answering a question of Zureick-Brown, we determine the cubic points on the modular curves $X_{0} (N)$ for $N \in {53, 57, 61, 65, 67, 73}$ as well as the quartic points on $X_{0} (65)$ . To…