Part of the requirements for my Honours is that I record a short 4-7 minute digital talk, which is then distributed to all the other students and staff at my university’s mathematics department. The video doesn't have to be related to my thesis, and it should ideally be accessible to all the other Honours students. I have already chosen a topic (a Galois theoretic proof of the Fundamental Theorem of Algebra), but it got me interested in learning about other results that have a pithy/clever proof. It doesn't even need to be a proof, just a subject which would make for an excellent short mathematics video.
I think this should probably be marked as community wiki but I don't know how to do that, so I would appreciate if someone could direct me to the correct checkbox.