2019 Bridges Conference

Clayton Shonkwiler

Artists

Clayton Shonkwiler

Assistant Professor of Mathematics

Colorado State University

Fort Collins, Colorado, USA

clay@shonkwiler.org

https://shonkwiler.org

Statement

Clayton Shonkwiler is a mathematician and artist. He is committed to using geometry to understand the world.

Artworks

Image for entry 'A to Z'

A to Z

23 x 31 cm

Pen plotter drawing on paper

2019

In joint work with Cantarella and Deguchi, we identified planar polygons with points in certain Stiefel manifolds. While our main motivation was to understand the 3-dimensional polygons used to model ring polymers like bacterial DNA, the well-understood geometry of Stiefel manifolds and their associated Grassmannians also allows us to answer questions like “What’s the shortest path from A to Z?”