finnlion wrote:I’ve heard Penn, Berkeley, and Minnesota have more interdisciplinary applied programs. Maryland AMSC seems very interdisciplinary as well- with faculty outside the department. What I would do is search for applied mathematics programs and look at what the research faculty are doing at that program (skim a few papers) and see if it is work that would excite you. Especially coming from a master’s, the majority of work will be in your dissertation. There definitely are interdisciplinary programs (though a lot of them are at top ranked schools, and you want matches/safeties as well). I don’t know much about physics in particular, but combing the sites of applied programs helped me find a range of schools in optimization to apply to this past year!
What do you mean when you say "especially coming from a master’s, the majority of work will be in your dissertation?"
Also, is it not the case that (pure) math departments house such research groups? For example, Columbia's math department seems to great groups in probability and mathematical physics. Quite a lot of applied math/applied physics groups work on such topics as computational fluid dynamics, earth sciences, inverse/medical imaging. I'm not awfully interested in these areas. I'm more inclined towards probability, machine learning, quantum computing etc. as inter-disciplinary applications of math. Maybe same theoretical/mathematical physics, but I don't see pursuing it as a full time thing.