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 419 — Introduction to Complex Variables

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; now assistant teaching professor at Arizona State University)
- Brian Collery (Ph.D. 2024; now instructor at Front Range Community College)
- 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

**September 2024**“On the average squared radius of gyration of a family of embeddings of subdivision graphs”, by Jason Cantarella, Henrik Schumacher, and Clayton Shonkwiler, posted to arXiv.**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.

## Support

My research is partially supported by the National Science Foundation (DMS–2107700), and previously by the Simons Foundation (#354225 and #709150).