Are there guidelines somewhere? I have no significant background in math, but on my own I have come across some things that have really started to capture my imagination. I don't where to go from where I am now.
*note: I added the soft-question tag as I couldn't find a placeholder. I hope it suffices.
Asking on math.stackexchange about a problem you have is a decent way to find out what branch of math your question lies in :)
To recieve a broad introduction to branches of pure math, I'd recommend:
An infinitely large napkin by Evan Chen --- this books sketches out a good chunk of pure math, with more of an algebraic flavour. It allows one to survey the "flavour" of a lot of math.
The princeton companion to mathematics is a rigorous introduction to many different branches of pure math
The art of computer programming --- a collection on all things algorithmic or computation related.
Course of theoretical Physics / Landau Lifschitz --- While these are technically physics books, they cover the mathematical ground quite well, and are good to learn most of the math that's used in "old-school" physics
