Table of Contents

Physical Knots; States and the Bracket Polynomial; The Jones Polynomial and Its Generalizations; Braids and the Jones Polynomial; Formal Feynman Diagrams, Bracket as a Vacuum-Vacuum Expectation and the Quantum Group SL(2)q; Yang - Baxter Models for Specializations of the Homfly Polynomial; Knot-Crystals - Classical Knot Theory in a Modern Guise; The Kauffman Polynomial; Three Manifold Invariants from the Jones Polynomial; Integral Heuristics and Witten's Invariants; The Chromatic Polynomial; The Potts Model and the Dichromatic Polynomial; The Penrose Theory of Spin Networks; Knots and Strings - Knotted Strings; DNA and Quantum Field Theory; Knots in Dynamical Systems - The Lorenz Attractor; and selected papers.