A. Swaminathan

activity

20132026

most citedSurjectivity of Galois Representations in Rational Families of Abelian Varieties

16 citations · 48 across the 25 of their papers we have counts for

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math.NT2025

Parity of the partition function in quadratic progressions

Ken Ono, Ashvin Swaminathan

The parity of the partition function $p (n)$ is one of the most stubborn problems in number theory. In 2010, the first author conjectured, for square-free $1 < D \equiv 23 (mod 24)$ , t…

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.,…

Parity of the partition function in quadratic progressions

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

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