Mathematical Requirments for QFT

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A comprehensive understanding of Quantum Field Theory (QFT) requires a solid foundation in several advanced mathematical concepts. Key areas of focus include linear algebra, complex analysis, differential equations, and group theory. Familiarity with functional analysis and topology is also beneficial. Many learners find that graduate texts on QFT, such as those by Srednicki, assume a high level of mathematical proficiency without adequate preparatory material. Srednicki's text is recommended for its accessible approach and lower rigor, making it a suitable starting point for those transitioning from quantum mechanics to QFT. For additional resources, seeking textbooks that integrate mathematical concepts with physical theory can provide the necessary background for mastering QFT.
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Can anybody give or link me to a relatively complete list of mathematical requirements for being able to fully grasp Quantum Field Theory at an advanced level? This may be a lot to ask but I've learned quantum mechanics (mainly from the Cohen-Tennoudji text) and whenever I've tried to access any graduate texts on QFT or Relativistic Quantum Mechanics the math level rockets up with no seeming intermediaries. HELP!

NOTE: Another thing that would help is referral to a textbook that actually has the extra math taught in it.
 
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Try Srednicki (draft copy available free online, google to find it). It's math level (and level of rigor) is pretty low.
 

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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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