Ashvin Swaminathan

activity

20162026

most citedLifting Subgroups of Symplectic Groups over

Z / ℓ Z

2 citations · 2 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2026

The existence of infinitely many cubic fields with class group of exact 2-rank 1

Manjul Bhargava, Arul Shankar, Artane Siad +1

We show that infinitely many cubic fields have class group of 2-rank 1.

math.NT2025

A parametrization of $3$ -class groups of quadratic rings over Dedekind domains

Eliot Hodges, Ashvin A. Swaminathan

Let $R$ be a Dedekind domain with field of fractions $K$ and $char (R) \neq = 3$ . In this paper, we generalize Bhargava's parametrization of $3$ -torsion ideal classes by…

math.NT2025

The second moment of the size of the $2$ -class group of monogenized cubic fields

Manjul Bhargava, Arul Shankar, Ashvin Swaminathan

We prove that when totally real (resp., complex) monogenized cubic number fields are ordered by height, the second moment of the size of the $2$ -class group is at most $3$ (resp.,…

math.GR2016★ 2 cited

Lifting Subgroups of Symplectic Groups over $Z / ℓ Z$

Aaron Landesman, Ashvin Swaminathan, James Tao +1

For a positive integer $g$ , let $Sp_{2 g} (R)$ denote the group of $2 g \times 2 g$ symplectic matrices over a ring $R$ . Assume $g \geq 2$ . For a prime number $ℓ$ , we give a…

The existence of infinitely many cubic fields with class group of exact 2-rank 1

A parametrization of 3-class groups of quadratic rings over Dedekind domains

The second moment of the size of the 2-class group of monogenized cubic fields

Lifting Subgroups of Symplectic Groups over Z/ℓZ

A parametrization of $3$ -class groups of quadratic rings over Dedekind domains

The second moment of the size of the $2$ -class group of monogenized cubic fields

Lifting Subgroups of Symplectic Groups over $Z / ℓ Z$