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- Thread starter wyattbohr
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I would say: functional analysis, Lie theory and a bit abstract algebra of graded Lie algebras.

From a mathematical point of view, I have a book about "Supermanifolds and Virasoro Algebras", unfortunately I don't know whether an English version exists.

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mathwonk

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(I gave away my own copy when I moved.

https://www.amazon.com/Riemann-Surfaces-Proceedings-College-Carvalho/dp/9971509032/ref=sr_1_fkmr0_1?s=books&ie=UTF8&qid=1539219960&sr=1-1-fkmr0&keywords=riemann+surfaces,+Gomez+Mont,+ICTP+Trieste

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haushofer

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https://www.amazon.com/dp/0750306068/?tag=pfamazon01-20

This is in my experience the best book to look for; it also contains some topics on QM. But the basis for doing string theory is Quantum Field Theory and General Relativity (and all the accompanying math). If you don't master these topics, string theory is way out of your league.

To get an idea, the most approachable book on string theory is Zwiebach. But also be aware that it's very thorough about a lot of stuff which is skipped by more advanced texts. Topics like conformal field theory or supersymmetry are not or barely touched.

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