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Publications and Preprints

Random Equilateral Polygons with Sotero Alvarado and Kenneth C. Millett (preprint in preparation).  Animations for this article

A Mathematical Tour of Functions Lulu Publishing, Raleigh, N.C., 2010. ISBN: 978-0-557-56653-2

Physical and Numerical Models in Knot Theory Including Applications to the Life Sciences with Kenneth C. Millett, Eric J. Rawdon, and Andrzej Stasiak (editors), Series on Knots and Everything, vol. 36, World Scientific, Singapore, 2005. ISBN: 978-981-256-187-9

Physical Knots: Knotting, Linking, and Folding Geometric Objects in R3 with Kenneth C. Millett and Eric J. Rawdon (editors), Contemporary Mathematics, vol. 304, AMS, Providence, 2002. ISBN: 978-0-8218-3200-4

Characterizing polygons in R3 in Physical Knots (Calvo, Millett, and Rawdon, editors), Contemporary Mathematics, vol. 304, AMS, Providence, 2002, pp. 37 -- 53. download as pdf (872 Kb)

Convexifying polygons with simple projections with Danny Krizanc, Pat Morin, Michael Soss, and Godfried Toussaint, Information Processing Letters 80 (2001), 81 -- 86. download as pdf (412 Kb)

Teoría de nudos geométricos e isotopía poligonal Revista de Matemática: Teoría y Aplicaciones 8 (2001), 101 -- 130. download as pdf (392 Kb)

The embedding space of hexagonal knots Topology and its Applications 112 (2001), 137 -- 174. download as pdf (428 Kb)

Geometric knot spaces and polygonal isotopy Journal of Knot Theory and its Ramifications 10 (2001), 245 -- 267. download as pdf (284 Kb)

Minimal edge piecewise linear knots with Kenneth C. Millett , in Ideal Knots (Stasiak, Katrich, and Kauffman, editors), Series on Knots and Everything, vol.19, World Scientific, Singapore, 1999, pp. 107 -- 128. download as pdf (340 Kb)

Geometric Knot Theory: The Classification of Spatial Polygons With a Small Number of Edges, Ph.D. Dissertation, University of California, Santa Barbara, 1998. download Part 1 as pdf (212 Kb) download Part 2 as pdf (192 Kb) download Part 3 as pdf (308 Kb) download Part 4 as pdf (224 Kb) download Part 5 as pdf (216 Kb)

Knot enumeration through flypes and twisted splices, Journal of Knot Theory and its Ramifications 6 (1997), 785 -- 798. download as pdf (212 Kb)