Dante Bonolis

activity

20182026

most citedApplication of a polynomial sieve: beyond separation of variables

2 citations · 3 across the 9 of their papers we have counts for

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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

Stratification theorems for exponential sums in families

Dante Bonolis, Emmanuel Kowalski, Katharine Woo

We survey some of the stratification theorems concerning exponential sums over finite fields, especially those due to Katz-Laumon and Fouvry-Katz, as well as some of their applicat…

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…

On the 2-torsion in class groups of number fields

Stratification theorems for exponential sums in families

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

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