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hola

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Could some rate how useful these following areas of areas are in string theory in a following scale: not useful at all, somewhat useful, very useful, essential

-Group Theory, Lie Algebras, Algebra

- Topology (Algebraic, Differential and General, Combanitorics)

- Analysis: (Complex, Real, Calculus of Variations)

-Functional Analysis

- Advanced ODE's and PDE's

-Differential Geometry

-Algebraic Geometry

- Probability Theory

- Set Theory/ Logic

- Number Theory