These talks are a short introduction to knot theory from a combinatorial point of view and with an eye towards applications to Natural Science. The talks are self-contained and form a short introductory course in knot theory.
4. Knot theory and quantum computing. This talk will discuss how quantum algorithms that compute the Jones polynomial can be constructed, how the Fibonacci model - based in knot theoretic recoupling theory - can be used to create universal quantum computation, and how this model is related to the Quantum Hall effect. We will also discuss the role of the Dirac equation and Majorana fermions in topological quantum computing.