The math behind a couple of theories

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To understand the mathematics of general relativity, quantum mechanics, and string theory, a solid foundation in advanced calculus and linear algebra is essential, but these alone are insufficient. Tensors and differential geometry are crucial for grasping general relativity, while quantum mechanics requires knowledge of complex numbers and linear operators. String theory involves even more complex mathematics, including advanced topics like topology and algebraic geometry. A comprehensive understanding of these theories necessitates a deep dive into these mathematical areas. Mastery of these concepts will provide the necessary tools to explore the intricacies of modern physics.
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I was just wondering, what math is needed to fully understand the mathematics of general relativity, quantum mechanics, and string theory? Can you be specific in naming them? For example

General Relativity
Algebra
Calculus


I know there has to be more than that but that was an example. I am curious because I want to eventually learn the math behind these theories.

Thanks!
:smile:
 
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