Department of Mathematics
Colorado State University
Fort Collins, CO 80523
Office: Weber 206C
This semester I am teaching:
- Math 369 — Linear Algebra I
Previous courses can be found on the teaching page.
My primary research interest is in using geometry to solve topological and physical problems. I am currently working on a long-term project which uses Riemannian and symplectic geometry to develop a new framework for understanding the probability theory of topologically constrained random walks and polymer networks. A newer but very promising project uses symplectic geometry to answer long-standing questions in frame theory and statistical signal processing. Please see the research page for more.
- Harrison Chapman (2017–2019; software engineer at Google)
- Colin Roberts (Ph.D. 2022; researcher at Primitive)
- Thomas D. Eddy (M.S. 2019; data team manager at Fountain)
- Yekaterina Aimukanova
- Laney Bowden
- Andrea Haynes
- Nikita Lavrenov
- Tucker Manton
- Nikolai Sannikov
- Aaron Shukert
- Gavin Stewart
- Bogdan Vasilchenko
- December 2022 “New stick number bounds from random sampling of confined polygons”, by Thomas D. Eddy and Clayton Shonkwiler, published in Experimental Mathematics.
- November 2022 “Radius of gyration, contraction factors, and subdivisions of topological polymers”, by Jason Cantarella, Tetsuo Deguchi, Clayton Shonkwiler, and Erica Uehara, published in the Journal of Physics A: Mathematical and Theoretical.
- October 2022 “New superbridge index calculations from non-minimal realizations”, by Clayton Shonkwiler, published in the Journal of Knot Theory and Its Ramifications.
- September 2022 My review of Tristan Needham’s Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts has been published in the American Mathematical Monthly.
- August 2022 “Fusion frame homotopy and tightening fusion frames by gradient descent”, by Tom Needham and Clayton Shonkwiler, posted to arXiv.
My research is partially supported by the National Science Foundation (DMS–2107700), and previously by the Simons Foundation (#354225 and #709150).