A. Shnidman

activity

20122026

most citedThe average size of the 3-isogeny Selmer groups of elliptic curves

y^{2} = x^{3} + k

23 citations · 108 across the 30 of their papers we have counts for

collaborators

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2 papers · 1 filter

math.NT2025

Hecke reciprocity and class groups

Ari Shnidman, Artane Siad

We compute the average size of $Cl_{F} [2]$ in the family of cubic fields $F = Q (3 n)$ . Specifically, as $F$ varies over the subfamily of wildly (resp. tamel…

math.NT2025★ 1 cited

Rank stability in quadratic extensions and Hilbert's tenth problem for the ring of integers of a number field

Levent Alpöge, Manjul Bhargava, Wei Ho +1

We show that for any quadratic extension of number fields $K / F$ , there exists an abelian variety $A / F$ of positive rank whose rank does not grow upon base change to $K$ . This resul…