2 citations · 3 across the 9 of their papers we have counts for
12 papers
The Artin-Davenport conjecture on cubic forms
Dante Bonolis, Tim Browning, Jakob Glas +1
We show that any integral cubic form in ten or more variables has a nontrivial integer zero. Like earlier authors on this topic, we use geometric methods to produce a zero in some…
Genuine and strongly genuine polynomials: With an application to the persistence of Galois groups under specialization
Dante Bonolis, Lillian B. Pierce, Katharine Woo
We develop the theory of strongly -genuine polynomials , which have the property that the number of specializations with $\mathbf{x}'…
Counting points in thin sets: A survey
Dante Bonolis, Lillian B. Pierce, Katharine Woo
In the 1980's Serre asked how many points of bounded height can lie in a thin set. This has motivated significant research ever since, culminating in a series of recent breakthroug…
On the -torsion in class groups of number fields
Dante Bonolis
In , Bhargava, Shankar, Taniguchi, Thorne, Tsimerman, and Zhao proved that for a finite extension of degree , the size of the -torsion class group…
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…
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 that is monic in and is a polynomial in for an integer . Le…
Application of a polynomial sieve: beyond separation of variables
Dante Bonolis, Lillian B. Pierce
Let a polynomial be given. The square sieve can provide an upper bound for the number of integral such that $f(\mathbf{…
Density of rational points on some quadric bundle threefolds
Dante Bonolis, Tim Browning, Zhizhong Huang
We prove the Manin-Peyre conjecture for the number of rational points of bounded height outside of a thin subset on a family of Fano threefolds of bidegree (1,2). The proof uses a…
Uniform bounds for rational points on hyperelliptic fibrations
Dante Bonolis, Tim Browning
We apply a variant of the square-sieve to produce a uniform upper bound for the number of rational points of bounded height on a family of surfaces that admit a fibration over the…
The distribution of the maximum of partial sums of Kloosterman sums and other trace functions
Pascal Autissier, Dante Bonolis, Youness Lamzouri
In this paper, we investigate the distribution of the maximum of partial sums of families of -periodic complex valued functions satisfying certain conditions. We obtain precise…
On the size of the maximum of incomplete Kloosterman sums
Dante Bonolis
Let be a complex valued function on . A classical problem in analytic number theory is to bound the maximum of the absolute…
A Polynomial Sieve and Sums of Deligne Type
Dante Bonolis
Let be any polynomial of degree and an irreducible homogeneous polynomial of degree such that the projective hyper…