There are topics I'm interested in but not any seriously working on
Algebraic topology of manifolds. A book titled "Lectures on Diffeomorphism groups of manifolds" by Sander Kupers is worth reading.
Lurie's Kerodon. I don't know what to do with this infinity category. Although philosophically I feel empowered by loose way of saying things in the homotopy sense.
Things I thought I would read but finally cannot feel self-motivated to continue:
Monopole floer homology on 3-manifolds. The book. I read until the orientation line part, but cannot go any further. It seems I need know a base of examples of manifolds people interested in before going back to it. But after all, I still don't know how handle such a theory.
Watanabe's disproving Smale conjecture. I did a project on it reading the latter paper. It seems there are relations with Weiss calculus, and diagram-defined invariants of links. I believe configuration spaces of manifolds is a good topic to learn for anyone.Â