Physics vs Math: Deciding Grad School Path

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The discussion revolves around the decision-making process for applying to graduate schools in math or physics, particularly for someone with an undergraduate background in both fields. The individual expresses a preference for proof-based courses such as linear algebra and statistical mechanics, while noting a lack of interest in thermodynamics and lab courses. They reflect on personal distractions during their undergraduate studies that impacted their course selection and performance, leading to uncertainty about their future path. The individual is considering mathematical physics but is unsure if they should pursue pure mathematics again after dropping a course. They emphasize the importance of passion over job opportunities in their decision-making process and express a desire to attend a prestigious institution like MIT, valuing admissions prospects over the specific undergraduate major. The discussion highlights the tension between personal interests in specific physics topics and the practicalities of graduate school admissions.
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So I'm about to apply to grad schools in either math or physics, as I did my undergrad in physics and applied math. I wanted to hear the inputs of people who had to decide between the two and what your decision was

As for me, my favorite classes were proof-based linear algebra and statistical mechanics (not the thermo part). My next favorites were quantum mechanics and real analysis. I didn't like thermo, proof-based Fourier analysis, and especially my lab courses. I didn't take the physics electives classes I'm really wanted to take, such as astrophysics, solid-state, optics, nuclear, or atomic. Thats because during the last couple semesters of undergrad, I had some outside distractions, some of which were personal and family related (and thus I felt very pressured to graduate asap, and thus do the bare minimum course requirements), and some were due to distractions in my social life. The latter was why I did really poorly in honors abstract algebra and ended up dropping the class. I took linear algebra and stat mech early on, which is why I did the best in those and really enjoyed them. Because I did well in linear algebra and real analysis, I thought I might have what it takes to be a pure mathematician

I also used to be really concerned with job opportunities, which is why I chose applied math instead of pure math. But after working a bit, I now realize the importance of choosing your passions. So at this point, I'm not really sure whether to apply to physics or applied math departments. I suppose I could do mathematical physics, but that's mostly done in pure math depts, right? I don't know if I should give pure math another try considering I dropped out of abstract algebra. I didn't drop out from any other course. And physics probably just seemed more bland than what I had thought because I didn't get to take the classes that looked the most interesting. E&M and mechanics aren't as interesting to me as the areas I listed above such as solid-state. They seemed really interesting from what I saw from my modern physics lower-div class and what I've read about them. I did 2 research projects related to materials and solid-state, so I'm pretty sure that I would like the course. But I can't stand the thought of having to take another lab course. Also, if it means anything, I had a 3.9 gpa in my math courses, and 3.6 in physics.

Again, I'd like to hear the opinions of those who were in a similar situation and what path you chose
 
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I would prefer to do math undergrad because I think the math would make me a stronger physicist. But I'm not sure how it would affect admissions. Really it rather get into a MIT with a physics undergrad than a state U with a math undergrad. Obviously were I attend grad school will have a greater correlation to my physics ability than if I did math or physics undergrad, so admissions is top priority to me. If I was to do a double major with philosophy too then I'm not sure. I would be able to take enough physics courses. But since I haven't even looked into anything resembling a schedule I really have no idea.
 
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