[couchand]

As someone who understands about 2% of the GP but maybe 85% of TFA, I'd suggest diving into the various topics explored there. Galois Fields, for instance, are a rich topic for Wikipedia research and have intuitive and surprising properties that make them fun to learn about.

This will lead you deeper into study of abstract algebra concepts like groups and rings. If you haven't done much set theory you will probably go deep on that and develop an opinion on the Axiom of Choice.

Then you'll probably surface a bit to look at elliptic curves and consider their many applications in abstract and concrete topics like cryptography and the elusive proof of Fermat's Last Theorem.

By then you'll have caught up to me. In the meantime I'll be reading up on module forms and L-functions.