Hello, I am currently in high school and I recently got the opportunity to do an independent study with one of my teachers and I am struggling to come up with what to study. I have taken calculus 1, 2, and 3, differential equations (with a bit of linear algebra), and calculus-based mechanics and E&M. I would ideally like to do something physics-based, but I am open to all ideas. I am leaning toward relativity, but I am not sure I would be able to actually do anything with that except learn straight out of the book (most independent study students end up writing a paper). Do you have any suggestions for topic I should study? What kind of work could I do with what I will learn? Thank you.