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Publications and Preprints

 

Dr. Jorge Alberto Calvo Associate Professor of Mathematics
Department of Mathematics and Physics

 

Random Equilateral Polygons

  with Sotero Alvarado and Kenneth C. Millett,
Preprint in preparation.

go get it Animations for this article

 

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.

go get it ISBN: 981-256-187-0

 

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.

go get it ISBN: 0-8218-3200-X

 

Characterizing polygons in R3

  in Physical Knots (Calvo, Millett, and Rawdon, editors),
Contemporary Mathematics, vol. 304, AMS, Providence, 2002, pp. 37 -- 53.

pdf document 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.

pdf document download as pdf (412 Kb)

 

Teoría de nudos geométricos e isotopía poligonal

  Revista de Matemática: Teoría y Aplicaciones 8 (2001), 101 -- 130.

pdf document download as pdf (392 Kb)

 

The embedding space of hexagonal knots

  Topology and its Applications 112 (2001), 137 -- 174.

pdf document download as pdf (428 Kb)

 

Geometric knot spaces and polygonal isotopy

  Journal of Knot Theory and its Ramifications 10 (2001), 245 -- 267.

pdf document 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.

pdf document 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.

pdf document download Part 1 as pdf (212 Kb)

pdf document download Part 2 as pdf (192 Kb)

pdf document download Part 3 as pdf (308 Kb)

pdf document download Part 4 as pdf (224 Kb)

pdf document 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.

pdf document download as pdf (212 Kb)

 


 

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