so, i'm currently working on my bachelor's in mathematics, and seriously considering going on to persue a PhD after that. Currently, I'm frustrated (not for long, semester is nearly over) with my calc II course and "matrix theory and linear algebra", though not so much the latter as the former. I would like to do some research, or independant studies. There is an incredible amount of material though, and 99% seems over my head. I've read some online journals, read a bit on rudimentary knot theory, and have heard of modular forms, though can't find anything that is even remotely accessible by myself. In short, my question is, what are some interesting mathematics I could play with, research, perhaps even write a paper on, without having much knowledge beyond the two classes i'm taking now? i'm obviously willing to read up on pre-requisite subjects if that is required for the main topic I would be looking into. Thanks.