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So far in my education I have not come across much physics, but the physics I do see is usually classical mechanics and electromagnetism. Now, as far as physics goes, I'll admit much of my knowledge of physics comes from popular science books (which I know is not an accurate representation of what physics is really like to specialize in), but I have also read Newton's Principia and and although I'm sure I don't understand everything about it, the majority of things I understand and I do enjoy. However, the physics that I really like (as far as liking it more than math) is more along the lines of quantum mechanics, relativity, and astronomical applications to classical mechanics, which of course I have not really been exposed to.

This is where the difficulty in my mind comes from. I have also always loved math, ever since I got to basic algebra, and it's my favorite subject to this day (I'm not currently in a physics class). Part of the reason I have thought that I want to be a theoretical physicist is it would combine my love of math and physics and I would use math to solve physics problems. However, as I'm getting into higher and higher math I'm finding I like it more and more, and at this point from my reading online I'm unsure if I'd really want to be a physicist more than investigate theoretical math as a mathematician. But I still love physics, so I don't know what to do. I know people like Ed Witten that are involved in string theory, quantum field theory, and quantum gravity research use highly sophisticated abstract math, but I know the chances of me making it into one of those fields is very small.

At this point I'm leaning towards studying math instead of physics, but I don't want to lose physics completely, so ideally I would want to be a mathematician that researches into pure math, but then also applies that math to physics problems where applicable. I don't know if that kind of job really exists or is a reasonable goal to go for, but I'd like to hear the input of the people here that are actually in these fields. What kind of job do you think I would be most interested in? What do you think I would study in college to prepare for that job? Any and all input is appreciated.