Office: Weber 206C
Phone: (970) 491-1822
Website: http://www.math.colostate.edu/~clayton/
Curriculum Vitae: http://www.math.colostate.edu/~clayton/cv/cv.pdf
Google Scholar: https://scholar.google.com/citations?user=MLHUVQwAAAAJ
Education
- Ph.D. in Mathematics, University of Pennsylvania, 2009
- B.S. in Mathematics, Sewanee: The University of the South, 2003
About
Differential and symplectic geometry, geometric probability, knot theory, and applications of these areas to polymer physics and signal processing
Publications
- A faster direct sampling algorithm for equilateral closed polygons and the probability of knottingJournal of Physics A: Mathematical and Theoretical 57, no. 28, 285205, 2024
- New stick number bounds from random sampling of confined polygons Experimental Mathematics 31, no. 4, 1373–1395, 2022
- Toric symplectic geometry and full spark frames Applied and Computational Harmonic Analysis 61, no. 8, 254–287, 2022
- Symplectic geometry and connectivity of spaces of frames Advances in Computational Mathematics 47, no. 1, 5, 2021
- Random triangles and polygons in the plane The American Mathematical Monthly 126, no. 2, 113–134, 2019
- A fast direct sampling algorithm for equilateral closed polygons Journal of Physics A: Mathematical and Theoretical 49, no. 27, 275202, 2016 (Selected as a 2016 Highlight of J. Phys. A)
- The symplectic geometry of closed equilateral random walks in 3-space Annals of Applied Probability 26, no. 1, 549–596, 2016
- The expected total curvature of random polygons American Journal of Mathematics 137, no. 2, 411–438, 2015
- Probability theory of random polygons from the quaternionic viewpoint Communications on Pure and Applied Mathematics 67, no. 10, 1658–1699 , 2014
- Poincaré duality angles and the Dirichlet-to-Neumann operator Inverse Problems 29, no. 4, 045007, 2013
