What are some interesting topics to read up on and research within algebraic topology and/or representation theory, or more ideally, and intersection of both. I have previously spent time looking at representations of the fundamental group (for coursework some time ago), I found it very interesting that we can obtain representations of $\pi_1(X)$ by studying covering spaces of the topological space. However, I could find very little literature about this (if anyone knows anything good please point it out!). I think this relates to monodromy.
While this is an example, I think topics of this flavour are very interesting.
I think my knowledge to begin reading such things is probably close to sufficient. I am quite well versed in differential geometry, topology, cohomology on topological spaces/manifolds, commutative algebra, homotopy theory, representation theory, category theory. I have recently spent much time reading on sheaves too.
Do tell! What do you find interesting? References and texts are welcomed.