Associate Professor
Department of Mathematics
Colorado State University
Fort Collins, CO 80523
Email: clayton.shonkwiler@colostate.edu
Office: Weber 206C
Phone: (970)491.1822
Curriculum Vitæ
This semester I am teaching:
Please see the course page for more information.
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.
Group
Graduate Students
Undergraduate Students
Group Alumni
Postdocs
- Harrison Chapman (2017–2019; software engineer at Google)
Graduate Students
- Colin Roberts (Ph.D. 2022; researcher at Primitive)
- Thomas D. Eddy (M.S. 2019; data team manager at Fountain)
Undergraduate Students
- Yekaterina Aimukanova
- Laney Bowden
- Andrea Haynes
- Nikita Lavrenov
- Tucker Manton
- Nikolai Sannikov
- Aaron Shukert
- Gavin Stewart
- Bogdan Vasilchenko
News
- July, 2022 “Toric symplectic geometry and full spark frames”, by Tom Needham and Clayton Shonkwiler, published in Applied and Computational Harmonic Analysis.
- June, 2022 Colin Roberts passed his Ph.D. defense. Congratulations, Dr. Roberts!
- June, 2022 “All prime knots through 10 crossings have superbridge index ≤ 5”, by Clayton Shonkwiler, published in the Journal of Knot Theory and Its Ramifications.
- June, 2022 “New superbridge index calculations from non-minimal realizations”, by Clayton Shonkwiler, posted to arXiv.
- May, 2022 “Random graph embeddings with general edge potentials”, by Jason Cantarella, Tetsuo Deguchi, Clayton Shonkwiler, and Erica Uehara, posted to arXiv.
Support
My research is partially supported by the National Science Foundation (DMS–2107700), and previously by the Simons Foundation (#354225 and #709150).