Alexander Smith

activity

20132026

most cited

2^{\infty}

-Selmer groups,

2^{\infty}

-class groups, and Goldfeld's conjecture

28 citations · 54 across the 16 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.NT2022★ 2 cited

The distribution of $ℓ^{\infty}$ -Selmer groups in degree $ℓ$ twist families I

Alexander Smith

In this paper and its sequel, we develop a technique for finding the distribution of $ℓ^{\infty}$ -Selmer groups in degree $ℓ$ twist families of Galois modules over number fie…

math.NT2022★ 1 cited

The distribution of $ℓ^{\infty}$ -Selmer groups in degree $ℓ$ twist families II

Alexander Smith

We continue the investigation of the distribution of $ℓ^{\infty}$ -Selmer groups in degree $ℓ$ twist families of Galois modules over number fields begun in the previous paper.…

math.NT2022

Field change for the Cassels-Tate pairing and applications to class groups

Adam Morgan, Alexander Smith

In previous work, the authors defined a category $S M o d_{F}$ of finite Galois modules decorated with local conditions for each global field $F$ . In this paper, given an extension $K/F…

The distribution of ℓ∞-Selmer groups in degree ℓ twist families I

The distribution of ℓ∞-Selmer groups in degree ℓ twist families II

Field change for the Cassels-Tate pairing and applications to class groups

The distribution of $ℓ^{\infty}$ -Selmer groups in degree $ℓ$ twist families I

The distribution of $ℓ^{\infty}$ -Selmer groups in degree $ℓ$ twist families II