Rachel Newton

activity

20102026

most citedTranscendental Brauer groups of products of CM elliptic curves

15 citations · 49 across the 19 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.QA2015★ 11 cited

Strangely dual orbifold equivalence I

Rachel Newton, Ana Ros Camacho

In this brief note we prove orbifold equivalence between two potentials described by strangely dual exceptional unimodular singularities of type $K_{14}$ and $Q_{10}$ in two differ…

math.NT2015★ 3 cited

The Hasse norm principle for abelian extensions

Christopher Frei, Daniel Loughran, Rachel Newton

We study the distribution of abelian extensions of bounded discriminant of a number field $k$ which fail the Hasse norm principle. For example, we classify those finite abelian gro…

math.NT2015★ 15 cited

Transcendental Brauer groups of products of CM elliptic curves

Rachel Newton

Let $L$ be a number field and let $E / L$ be an elliptic curve with complex multiplication by the ring of integers $O_{K}$ of an imaginary quadratic field $K$ . We use class f…