Evan M. O’Dorney

activity

20142021

most citedHarmonic Analysis and Statistics of the First Galois Cohomology Group

9 citations · 17 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2021★ 9 cited

Harmonic Analysis and Statistics of the First Galois Cohomology Group

Brandon Alberts, Evan O'Dorney

We utilize harmonic analytic tools to count the number of elements of the Galois cohomology group $f \in H^{1} (K, T)$ with discriminant-like invariant $inv (f) \leq X$ as $X\to\inft…

math.NT2015

Quintic algebras over Dedekind domains and their sextic resolvents

Evan M. O'Dorney

Bhargava parametrized quintic rings over $Z$ by quadruples of $5 \times 5$ alternating matrices. We extend the construction to work similarly over any Dedekind domain $R$ .…

math.NT2015★ 5 cited

Rings of small rank over a Dedekind domain and their ideals

Evan O'Dorney

In 2001, M. Bhargava stunned the mathematical world by extending Gauss's 200-year-old group law on integral binary quadratic forms, now familiar as the ideal class group of a quadr…

math.AG2014★ 3 cited

Canonical rings of Q-divisors on P^1

Evan M. O'Dorney

The canonical ring $S_{D} = ⨁_{d \geq 0} H^{0} (X, ⌊ d D ⌋)$ of a divisor D on a curve X is a natural object of study; when D is a Q-divisor, it has connections to pr…