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Hey /sci/
Which grad-level maths subjects would you recommend for a physicist who works largely with quantum and semiclassical systems?
I'm currently looking into integrable systems since I love Hamilton-Jacobi dynamics (I think they're related?) but I also love anything to do with logic or topology.
tl;dr: what are the god-tier grad-level maths subjects
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>>8689945
Functional Analysis.
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>>8689945
linear algebra
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>>8689945
differential geometry
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>>8689945
Computation and Complexity
Tie it in with quantum later
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>>8689971
Very useful.
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>>8689945
I think since you are not worried about pure math for your research the most important by far is LA. Then it's ODE/PDE, analysis and number theory. I would avoid "mathematical biology" though. It's mostly wasting your time solving the same old fishing problem when you should learn more generally about ODE and PDE.
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>>8689945
Lie algebra
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>>8689945
just do all of the pure math stuff lol
just learn everything
brainlet
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>>8689945
study your mom's asshole
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