UC Davis Mathematics

Mathematics Colloquia and Seminars

Return to Colloquia & Seminar listing

Vertex Distortions of Lattice Knots

Student-Run Research Seminar

Speaker: Nicholas Cazet, UC Davis
Location: (Online) Zoom
Start time: Thu, Apr 16 2020, 12:10PM

The vertex distortion of a lattice knot is the supremum of the ratio of the distance between a pair of vertices along the knot and their distance in the `1-norm. We show analogous results of Gromov, Pardon and Blair-Campisi-Taylor-Tomova about the distortion of smooth knots hold for vertex distortion, the vertex distortion of a lattice knot is 1 only if it is the unknot, and that there are minimal lattice-stick number knot conformations with arbitrarily high distortion.

This project has an application to Biology and enjoyable to those in combinatorics.