How does mathematics research look for physics graduate?

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Engaging in research with the mathematics department can enhance a resume for a career in mathematical or theoretical physics, especially when considering the competitive nature of the field. Projects in dynamical systems or elliptic curves, while seemingly distant from physics, can still provide valuable skills and insights. The integration of quantum field theory into the academic path may broaden opportunities in both physics and mathematics research. It's important to recognize that asking the right questions is crucial in theoretical or mathematical physics, as it reflects a deeper understanding of the discipline. Overall, research experience in mathematics is beneficial and can complement a focus on physics.
Arsenic&Lace
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I'm interested in mathematical or theoretical physics (and, I am quite aware of how daunting it is to obtain a career in this field). I'm curious, if I do research with the mathematics department, does this look good?

Currently I might have a project in dynamical systems, although I could also do a project with elliptic curves, which are rather far removed from physics as far as I know (short of maybe quantum cryptography, although it's just a wide guess that the two have anything in common).
 
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I am also interested in this. I am currently finishing B.Sc. degrees in mathematics and physics, I am planning on doing a Master's in mathematics, maybe in algebraic/differential topology, Lie theory or noncommutative algebra.

My hope is that by mixing some quantum field theory into my degree, options of both physics and mathematics research will be open to me.
 
Research in the math department certainly looks better than no research in the math department if you assume otherwise identical resumes/grades/... . As you may realize from this answer, you may not have asked the proper question. Incidently, asking the right question often is a central and non-trivial part of doing theoretical or mathematical physics.
 
Hey, I am Andreas from Germany. I am currently 35 years old and I want to relearn math and physics. This is not one of these regular questions when it comes to this matter. So... I am very realistic about it. I know that there are severe contraints when it comes to selfstudy compared to a regular school and/or university (structure, peers, teachers, learning groups, tests, access to papers and so on) . I will never get a job in this field and I will never be taken serious by "real"...
Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...
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