I've always wanted to understand Wiles proof for Fermat's Last Theorem. I have started on it but I have no good idea on how to approach the subject. Experts say that it takes decades of studying for a layman to understand it.
Web security because I'm a web developer who definitely builds unsecure applications. Unfortunately (and incorrectly, IMO) the full stack dev market doesn't really value security too much as it pertains to marketable job skills. For instance, I spend my time improving my Javascript skillset which has a greater impact on my bottom line at the moment.
I want to learn an instrument. I'm afraid it's too late.
I also want to learn all the latest deep learning stuff. I'm learning, but the progress is slow.