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What are some interesting, but less popular, math topics that are useful for physics that can be self-studied? Specifically, topics that might ultimately be useful in high energy theory (even if it is a while down the road).

My background is: real analysis, differential equations, advanced linear algebra, complex analysis, and some functional analysis.

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closed as not constructive by David Z Dec 19 '12 at 6:52

As it currently stands, this question is not a good fit for our Q&A format. We expect answers to be supported by facts, references, or expertise, but this question will likely solicit debate, arguments, polling, or extended discussion. If you feel that this question can be improved and possibly reopened, visit the help center for guidance.If this question can be reworded to fit the rules in the help center, please edit the question.

Why do you ask? – Mew Dec 19 '12 at 6:41
"interesting, but less popular" The specific math topic is either required or not. As for your question, for a start you should know algebra and differential geometry, that's the basic requirement for every field in physics. – Yrogirg Dec 19 '12 at 6:51
Hi Alex - sorry to keep harping on you about these sorts of things, but questions like this which are just asking for a list of things aren't really appropriate for this site. Like the FAQ says, we're looking for specific questions that have specific, definite answers. – David Z Dec 19 '12 at 6:54
Hi @Alex, maybe you can have a look at what Gerard 't Hooft says what is needed to become a good theoretical physicist here. Maybe you can restate the question at Math SE too, there seem to be a number of people interested in advanced mathematics and high energy theoretical physics too. I've seen questions there of people seeking advice about what is needed to study theoretical physics from a mathematical point of view, that get answered. I'm sorry to see that you get closed here and wish you good luck and success for your studies. – Dilaton Dec 19 '12 at 10:59