- categories, functors, additive and Abelian categories,
- monoidal categories and functors,
- Grothendieck ring, categorisation, example of categorisation of group rings.
In addition, a selection of the following topics:
- Hopf algebras and quantum groups,
- graphic calculus for morphisms,
- braided tensor categories, band categories and knot invariants,
- modular tensor categories and topological quantum field theories.