Category Theory and Categorification:

1. Algebraic Structures on Grothendieck Groups, by Weiyun Lu & Aaron K. McBride

2. Winter School

3. Introduction to Categorification, by Alistair Savage

4. Lectures on SL2(C) modules, by Volodymyr Mazorchuk

5. Introduction to categorification, Course by Mikhail Khovanov

6. Categorification, by John Baez and James Dolan

7. Lectures on Algebraic Categorification, by Volodymyr Mazorchuk

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Representation Theory:

1. From Mikhail Khovanov's Website

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Knot Theory and Quandles:

1. A categorification of the Jones polynomial, by Mikhail Khovanov

2. Introduction to Vassiliev Knot Invariants, by S. Chmutov S. Duzhin J. Mostovoy