Theresa C. Anderson

activity

20242026

collaborators

6 papers

math.NT2026

The strong form of Van der Waerden's conjecture via twisted Chowla

Theresa C. Anderson, Sam Chow, Rainer Dietmann +5

Determining the properties of a random polynomial has fuelled significant investigation over the past century. One driving force of this research is a 1936 paper of Van der Waerden…

math.NT2026

Galois groups of reciprocal polynomials II: Twisted reciprocal polynomials

Theresa C. Anderson, Evan M. O'Dorney

We study the Galois group $G_{f}$ of a random polynomial $f$ of height at most $H$ in the family of polynomials of degree $2 n$ satisfying the twisted reciprocal relation $f(x) = x^{2…

math.NT2025

Galois groups of random integer matrices

Theresa C. Anderson, Evan M. O'Dorney

We study the number $M_{n} (T)$ be the number of integer $n \times n$ matrices $A$ with entries bounded in absolute value by $T$ such that the Galois group of characteristic polynomial…

math.NT2025

The structure of the double discriminant

Theresa C. Anderson, Ufuoma V. Asarhasa, Adam Bertelli +2

For a polynomial $f (x) = \sum_{i = 0}^{n} a_{i} x^{i}$ , we study the double discriminant $D D_{n, k} = disc_{a_{k}} disc_{x} f (x)$ . This object has been well studie…

math.CA2024

Infinite intersections of doubling measures, weights, and function classes

Theresa C. Anderson, David Phillips, Anastasiia Rudenko +1

A series of longstanding questions in harmonic analysis ask if the intersection of all prime `` $p$ -adic versions" of an object, such as a doubling measure, or a Muckenhoupt or reve…

math.NT2024

Galois groups of reciprocal polynomials and the van der Waerden-Bhargava theorem

Theresa C. Anderson, Adam Bertelli, Evan M. O'Dorney

We study the Galois groups $G_{f}$ of degree $2 n$ reciprocal (a.k.a. palindromic) polynomials $f$ of height at most $H$ , finding that $G_{f}$ falls short of the maximal possible group…