- #1

math-physicist

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Now, TQFT recently has been developing rapidly and turned into a vast subject for a newcomer like me to find a specific topic to work on. I'm interested in aspects of TQFT concerning Category theory, knot theory, quantum groups and the likes. I'm also interested in existence of smooth structures. My understanding is that each one of these are themselves vast enough.

So, my question is:

**What are some TQFT research topics a beginning grad student can pursue that relates to higher categories and/or knot theory? Can someone suggest some possible sub-topics to look at? Also, what "extra" background is needed?**