collaborators

4 papers

math.NT2026

Statistics of the Genus Number of and -fields

Anup B. Dixit, Sunil Kumar Pasupulati

The genus number of a number field is a fundamental invariant which measures the contribution of ramification to its ideal class group. In this paper, we establish the statistics f…

math.NT2025

Euclidean Algorithms for Ideal Classes in Biquadratic fields: A Genus-Theoretic Perspective

Sunil Kumar Pasupulati

We study Euclidean ideal classes in real biquadratic fields and obtain unconditional existence results via genus theory. Lenstra showed (assuming the Generalized Riemann Hypothesis…

math.NT2025

Modular degree and a conjecture of Watkins

Subham Bhakta, Srilakshmi Krishnamoorthy, Sunil Kumar Pasupulati

Given an elliptic curve of conductor , there exists a surjective morphism defined over . In this article, we discuss the growth o…

math.NT2025

Low degree extensions with Cyclic class group

Srilakshmi Krishnamoorthy, Sunil Kumar Pasupulati

Lenstra introduced the notion of the Euclidean ideal class, a generalization of the Euclidean domain that captures cyclic class groups. In this article, we establish the existence…