2 citations · 2 across the 4 of their papers we have counts for
6 papers
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}'…
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 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…
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{…
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…
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…