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
Postdocs
Graduate Students
- Mason Faldet
- Tristan Neighbors (M.S. 2023)
- Page Wilson
Undergraduate Students
Group Alumni
Postdocs
- Harrison Chapman (2017–2019; now senior software engineer at Google)
Graduate Students
- Anthony Caine (Ph.D. 2024)
- Brian Collery (Ph.D. 2024)
- Colin Roberts (Ph.D. 2022; now staff research engineer at Pluto)
- 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
- July 2024 “A faster direct sampling algorithm for equilateral closed polygons”, by Jason Cantarella, Henrik Schumacher, and Clayton Shonkwiler, published in the Journal of Physics A: Mathematical and Theoretical.
- May 2024 “Geometric approaches to matrix normalization and graph balancing”, by Tom Needham and Clayton Shonkwiler, posted to arXiv.
- 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.
Support
My research is partially supported by the National Science Foundation (DMS–2107700), and previously by the Simons Foundation (#354225 and #709150).