Where does Mathematical Physics reside?

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Discussion Overview

The discussion revolves around the classification and departmental affiliation of mathematical physics as a field of study. Participants explore whether it resides primarily within mathematics or physics departments, particularly in the context of graduate program admissions and course requirements.

Discussion Character

  • Debate/contested

Main Points Raised

  • One participant questions the departmental classification of mathematical physics, noting that their undergraduate program is listed under both math and physics degrees.
  • Another participant mentions that some universities have research groups in mathematical physics, particularly in quantum field theory, and observes similarities between these groups and theoretical physics groups.
  • There is speculation that mathematical physicists may develop new mathematical frameworks to support physical theories, although this is presented as a guess.
  • A participant raises a question about the undergraduate math requirements for those in mathematical physics graduate programs, suggesting that it may be challenging to integrate math courses during graduate studies if not taken earlier.
  • One participant notes that it is possible for mathematical physics to be represented in both departments, citing a friend's advisor who is affiliated with each.

Areas of Agreement / Disagreement

Participants express differing views on the departmental classification of mathematical physics, with some suggesting it can belong to either department while others emphasize its presence in physics. The discussion remains unresolved regarding the specific requirements and distinctions between the two fields.

Contextual Notes

Participants express uncertainty about the necessary mathematical background for graduate studies in mathematical physics and the integration of math courses within physics programs. There is also ambiguity regarding the distinctions between mathematical physics and theoretical physics.

malignant
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Where exactly does this area of study reside? Is it within the math department or the physics department? More specifically, do you need to get accepted into a math or physics graduate program?

The undergraduate mathematical physics program here is listed under both the math and physics degrees and it doesn't seem like the math graduate courses have much to do with physics at all so I'm a bit confused on this.
 
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Some universities have research groups in "mathematical physics". The one I looked at did research into quantum field theory, and I think they worked in integrating new mathematical models within this framework, or something along those lines. From that particular group, I didn't see much difference between them and say, theoretical physics groups working in the same field.
One possible distinction could be that people doing "mathematical physics" invent new mathematics to try and make or account for physical theories, or invent new frameworks with mathematics, but that's just me guessing.

Getting back to what department it's under, the research group I looked at was definitely in the physics department.
 
ModestyKing said:
Some universities have research groups in "mathematical physics". The one I looked at did research into quantum field theory, and I think they worked in integrating new mathematical models within this framework, or something along those lines. From that particular group, I didn't see much difference between them and say, theoretical physics groups working in the same field.
One possible distinction could be that people doing "mathematical physics" invent new mathematics to try and make or account for physical theories, or invent new frameworks with mathematics, but that's just me guessing.

Getting back to what department it's under, the research group I looked at was definitely in the physics department.

That's interesting. Do you suppose they took a lot of the required math during undergrad? Seems like it'd be difficult to fit courses from the math department during grad school unless they learned it all in physics courses.
 
It can be in both. My friend has an advisor in each department.
 

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