Krystal Taylor

most citedPinned geometric configurations in Euclidean space and Riemannian manifolds

1 citations · 1 across the 2 of their papers we have counts for

collaborators

2 papers

math.CA2022

Lattice Points Close to the Heisenberg Spheres

Elizabeth Campolongo, Krystal Taylor

We study a lattice point counting problem for spheres arising from the Heisenberg groups. In particular, we prove an upper bound on the number of points on and near large dilates o…

math.CA2016★ 1 cited

Pinned geometric configurations in Euclidean space and Riemannian manifolds

Alex Iosevich, Krystal Taylor, Ignacio Uriarte-Tuero

Let $M$ be a compact $d$ -dimensional Riemannian manifold without a boundary. Given $E \subset M$ , let $Δ_{ρ} (E) = {ρ (x, y) : x, y \in E}$ , where $ρ$ is the Riemannian metric on $M$ . Le…