Dante Bonolis

collaborators

3 papers

math.NT2025

On the $2$ -torsion in class groups of number fields

Dante Bonolis

In $2020$ , Bhargava, Shankar, Taniguchi, Thorne, Tsimerman, and Zhao proved that for a finite extension $K / Q$ of degree $n \geq 5$ , the size of the $2$ -torsion class group…

math.NT2025

Counting integral points in thin sets of type II: singularities, sieves, and stratification

Dante Bonolis, Lillian B. Pierce, Katharine Woo

Consider an absolutely irreducible polynomial $F (Y, X_{1}, \dots, X_{n}) \in Z [Y, X_{1}, \dots, X_{n}]$ that is monic in $Y$ and is a polynomial in $Y^{m}$ for an integer $m \geq 1$ . Le…

math.NT2018

A Polynomial Sieve and Sums of Deligne Type

Dante Bonolis

Let $f \in Z [T]$ be any polynomial of degree $d > 1$ and $F \in Z [X_{0}, ..., X_{n}]$ an irreducible homogeneous polynomial of degree $e > 1$ such that the projective hyper…

On the 2-torsion in class groups of number fields

Counting integral points in thin sets of type II: singularities, sieves, and stratification

A Polynomial Sieve and Sums of Deligne Type

On the $2$ -torsion in class groups of number fields