What math should you know before studying the proof of Fermat's Last Theorem? That's what this video answers.
It's pretty funny. I don't want to completely give it away, but I know a fair amount of math, and a sinking feeling spread over me as the video went on... so I'm curious when that feeling will hit you.
Eventually the guy suggests that you should really learn French... so you can read Grothendieck's 12-volume Séminaire de Géométrie Algébrique, which is thousands of pages long. But for me, even that's not the worst part!
The good news is that this guy, Anthony Vasutaro, admits it's fine to plunge in and learn stuff as needed. Even better, he is really serious about this stuff. He has a huge series of videos explaining the proof of Fermat's Last Theorem in detail.
Personally I'm more interested in the 'big ideas' than the actual proof. And for the big ideas, I'm finding Nigel Boston's paper quite nice:
Beware: this is only for mathematicians! There are lots of other introductions at varying levels of intensity. No matter how little math you know, there's one that you'll enjoy.
