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:
- 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
Undergraduate Students
Group Alumni
Postdocs
- Harrison Chapman (2017–2019; software engineer at Google)
Graduate Students
- 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
- 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.
- April, 2022 “Admissibility and frame homotopy for quaternionic frames”, by Tom Needham and Clayton Shonkwiler, published in Linear Algebra and its Applications.
- March, 2022 “A Gelfand transform for spinor fields on embedded Riemannian manifolds”, by Colin Roberts, posted to arXiv.
- February, 2022 Light and Dark (joint with Anne Ligon Harding), Dawn, and Viewpoints Matter exhibited in the Curfman Gallery as part of the 2022 Art & Science exhibition.
Support
My research is partially supported by the National Science Foundation (DMS–2107700), and previously by the Simons Foundation (#354225 and #709150).