For the (potentially distant) future of the Math Notes, I hope to write notes on abs. algebra. It is disappointing that despite the quintic problem being one of the origins of abs. alg., 1st semester courses rarely talk much about it. I'm about to start a course on Galois theory. I hope to afterwards write notes which use this problem as a motivation for the concepts of group theory, etc.
The main problem with doing this right now is that I don't know Galois theory :)