Evan M. O'Dorney

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20162026

most citedLarge orbits on Markoff-type K3 surfaces over finite fields

1 citations · 1 across the 13 of their papers we have counts for

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math.NT2022★ 1 cited

Large orbits on Markoff-type K3 surfaces over finite fields

Evan M. O'Dorney

We study the surface $W_{k} : x^{2} + y^{2} + z^{2} + x^{2} y^{2} z^{2} = k x y z$ in $(P^{1})^{3}$ , a tri-involutive K3 (TIK3) surface. We explain a phenomenon noticed by Fuchs,…

math.NT2022

Diophantine approximation on conics

Evan M. O'Dorney

Given a conic $C$ over $Q$ , it is natural to ask what real points on $C$ are most difficult to approximate by rational points of low height. For the an…

math.NT2022

Reflection theorems of Ohno-Nakagawa type for quartic rings and pairs of $n$ -ary quadratic forms

Evan M. O'Dorney

We prove a reflection theorem, conjectured by Nakagawa and Ohno, for the number of quartic rings, or pairs of ternary quadratic forms, with a given cubic resolvent. Over $\mathbb{Z…

Large orbits on Markoff-type K3 surfaces over finite fields

Diophantine approximation on conics

Reflection theorems of Ohno-Nakagawa type for quartic rings and pairs of n-ary quadratic forms

Reflection theorems of Ohno-Nakagawa type for quartic rings and pairs of $n$ -ary quadratic forms