We will give an elementary introduction to the notion of modular fusion categories and explain how they can be used in constructing quantum invariants of 3-manifolds and topological quantum field theories.

Yilong Wang graduated from The Ohio State University in 2018. After working in Louisiana State University as a postdoc researcher, he joined BIMSA as an assistant research fellow in 2021. His research interests include modular tensor categories and topological quantum field theories.