3 papers
math.OA2025
Stable rank one in nonnuclear crossed products
Jamie Bell, Shirly Geffen, David Kerr
We initiate an investigation into the local structure of simple nonnuclear C-crossed products by showing that stable rank one is generic within two natural classes of minimal a…
math.NT2025
Non-Isomorphic Abelian Varieties with the Same Arithmetic
Jamie Bell
We construct two abelian varieties over which are not isomorphic, but have isomorphic Mordell--Weil groups over every number field, isomorphic Tate modules and equal v…
math.NT2024
A Note on the Growth of Sha in Dihedral Extensions
Jamie Bell
We provide a formula for the order of the Tate--Shafarevich group of elliptic curves over dihedral extensions of number fields of order , up to powers and primes divid…