Associate Professor
Associate Chair/Undergraduate Director
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:
- Math 617 — Integration and Measure Theory
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
Group Alumni
Postdocs
- Harrison Chapman (2017–2019; now senior software engineer at Google)
Graduate Students
- Colin Roberts (Ph.D. 2022; now senior research scientist at Primitive)
- Thomas D. Eddy (M.S. 2019; now data engineer at the New York Times)
Undergraduate Students
- Yekaterina Aimukanova
- Laney Bowden
- Erin Gunn
- Andrea Haynes
- Nikita Lavrenov
- Tucker Manton
- Nikolai Sannikov
- Aaron Shukert
- Gavin Stewart
- Bogdan Vasilchenko
News
- January 2024 “Three proofs of the Benedetto–Fickus theorem”, by Dustin G. Mixon, Tom Needham, Clayton Shonkwiler, and Soledad Villar, published in Sampling, Approximation, and Signal Analysis: Harmonic Analysis in the Spirit of J. Rowland Higgins.
- December 2023 “On the existence of Parseval frames for vector bundles”, by Samuel A. Ballas, Tom Needham, and Clayton Shonkwiler, posted to arXiv.
- September 2023 “A faster direct sampling algorithm for equilateral closed polygons”, by Jason Cantarella, Henrik Schumacher, and Clayton Shonkwiler, posted to arXiv.
- July 2023 “Fusion frame homotopy and tightening fusion frames by gradient descent”, by Tom Needham and Clayton Shonkwiler, published in the Journal of Fourier Analysis and Applications.
- July 2023 “Robocasting of ceramic Fisher–Koch S scaffolds for bone tissue engineering” named an Editor’s Choice by the Journal of Functional Biomaterials.
Support
My research is partially supported by the National Science Foundation (DMS–2107700), and previously by the Simons Foundation (#354225 and #709150).