I’m a high school senior who's gone through quite the self-introspection the past few months while applying for college, and I have a bit of a dilemma. All my life, I've loved & excelled at mathematics, and want to study & explore it very much in depth in college. I get very excited when I read up on fields such as number theory, analysis, topology, and algebraic geometry. On top of that, I've also realized that although I have no experience programming, there are wonderful merits to applying math to computer science and would love to apply my math skills to a fast-growing industry.
I feel, however, that studying comp sci will "limit" the scope and depth of the math I study, because joint programs of math and comp sci will only make you take math classes relevant to the study of computer science. Out of the Common App colleges I'm applying to, Emory, NYU, and BU have joint majors in mathematics and computer science, while UMiami only has a BS in mathematics, and Georgia Tech has BSs in discrete and applied mathematics. For Emory, for instance, I'll be "missing out" on multivariable calculus, complex variables, real analysis, and abstract algebra if I did their joint program as opposed to majoring in Pure Mathematics.
If there is a way to combine these two interests without limiting the mathematics I learn, that'd be amazing, but if not, so be it. If you feel I have certain misconceptions, please feel free to point them out. Lastly, I know this is not the best place to ask this question, as it is directed towards professional mathematicians, but I would love your input and appreciate it ahead of time!