3 papers
math.CO2026
Short spherical -design curves
Emily J. King, Dustin G. Mixon
We study the minimum arclength of spherical -design curves, i.e., closed rectifiable curves on whose normalized arclength measure exactly integrates every polynomial of de…
math.MG2025
Testing isomorphism between tuples of subspaces
Emily J. King, Dustin G. Mixon, Shayne Waldron
Given two tuples of subspaces, can you tell whether the tuples are isomorphic? We develop theory and algorithms to address this fundamental question. We focus on isomorphisms in wh…
math.CO2025
Uniquely optimal codes of low complexity are symmetric
Emily J. King, Dustin G. Mixon, Hans Parshall +1
We formulate explicit predictions concerning the symmetry of optimal codes in compact metric spaces. This motivates the study of optimal codes in various spaces where these predict…