Evan M. O'Dorney

collaborators

3 papers

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.NT2025

Étale algebras and the Kummer theory of finite Galois modules

Evan M. O'Dorney

Galois cohomology groups $H^{i} (K, M)$ are widely used in algebraic number theory, in such contexts as Selmer groups of elliptic curves, Brauer groups of fields, class field theory, a…