Evan M. O'Dorney

activity

20242026

collaborators

6 papers

math.AG2026

Even-carry polynomials and cohomology of line bundles on the incidence correspondence in positive characteristic

Evan M. O'Dorney

We consider the cohomology groups of line bundles $L$ on the \emph{incidence correspondence}, that is, a general hypersurface $X \subset \mathbb{P}^{n-1} \times \mathbb{P…

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

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

Ãtale 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…

math.NT2024

Raney Transducers and the Lowest Point of the $p$ -Lagrange spectrum

Brandon Dong, Soren Dupont, Evan M. O'Dorney +1

It is well known that the golden ratio $I ¨ $ is the ''most irrational'' number in the sense that its best rational approximations $s / t$ have error $\sim 1/ (5 t^{2})$ and this c…

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…

Even-carry polynomials and cohomology of line bundles on the incidence correspondence in positive characteristic

The structure of the double discriminant

Galois groups of random integer matrices

Ãtale algebras and the Kummer theory of finite Galois modules

Raney Transducers and the Lowest Point of the p-Lagrange spectrum

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

Ãtale algebras and the Kummer theory of finite Galois modules

Raney Transducers and the Lowest Point of the $p$ -Lagrange spectrum