Colorado State University

Clayton Shonkwiler

Associate Professor, Director of the Undergraduate Program

Clayton.Shonkwiler@colostate.edu

Office: Weber 206C

Phone: 9704911822

Education:

• Ph.D. in Mathematics, University of Pennsylvania, 2009
• B.S. in Mathematics, Sewanee: The University of the South, 2003

Website: http://www.math.colostate.edu/~clayton/

Curriculum Vitae: View Curriculum Vitae

Google Scholar: View Google Scholar Profile

About

Differential and symplectic geometry, geometric probability, knot theory, and applications of these areas to polymer physics and signal processing

Publications

• “Factoring the Laplacian to understand topological polymers” Jason Cantarella, Tetsuo Deguchi, Clayton Shonkwiler, and Erica Uehara <i>Europhysics Letters</i> <b>152</b>, no. 1, 12001, 2025
• “New stick number bounds from random sampling of confined polygons” Thomas D. Eddy and Clayton Shonkwiler <i>Experimental Mathematics</i> <b>31</b>, no. 4, 1373–1395, 2022
• “Toric symplectic geometry and full spark frames” Tom Needham and Clayton Shonkwiler <i>Applied and Computational Harmonic Analysis</i> <b>61</b>, no. 8, 254–287, 2022
• “Symplectic geometry and connectivity of spaces of frames” Tom Needham and Clayton Shonkwiler <i>Advances in Computational Mathematics</i> <b>47</b>, no. 1, 5, 2021
• “Random triangles and polygons in the plane” Jason Cantarella, Tom Needham, Clayton Shonkwiler, and Gavin Stewart <i>The American Mathematical Monthly</i> <b>126</b>, no. 2, 113–134, 2019
• “A fast direct sampling algorithm for equilateral closed polygons” Jason Cantarella, Bertrand Duplantier, Clayton Shonkwiler, and Erica Uehara <i>Journal of Physics A: Mathematical and Theoretical</i> <b>49</b>, no. 27, 275202, 2016 (Selected as a <b>2016 Highlight of <i>J. Phys. A</i></b>)
• “The symplectic geometry of closed equilateral random walks in 3-space” Jason Cantarella and Clayton Shonkwiler <i>Annals of Applied Probability</i> <b>26</b>, no. 1, 549–596, 2016
• “The expected total curvature of random polygons” Jason Cantarella, Alexander Y. Grosberg, Robert Kusner, and Clayton Shonkwiler <i>American Journal of Mathematics</i> <b>137</b>, no. 2, 411–438, 2015
• “Probability theory of random polygons from the quaternionic viewpoint” Jason Cantarella, Tetsuo Deguchi, and Clayton Shonkwiler <i>Communications on Pure and Applied Mathematics</i> <b>67</b>, no. 10, 1658–1699 , 2014
• “Poincaré duality angles and the Dirichlet-to-Neumann operator” Clayton Shonkwiler <i>Inverse Problems</i> <b>29</b>, no. 4, 045007, 2013