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So I am currently an undergrad student majoring in math and physics wanting to pursue a PhD in either applied math or physics. I definitely lean toward the theoretical side of physics and really enjoy mathematics (which has become somewhat of a hobby). My question is, what program of graduate study would best suite my needs? Applied math or physics? I am very interested in both, and can't see myself no longer studying math. On the flip side, I also like using mathematics in the context of physical problems. I'm very interested in relativity and quantum field theory. Thanks for the help!