I would like to know the types of math used in different aspects of physics, so that i know where to go from now on. Although i am planning to major in electrical engineering i will not fail to maintain physics as at the very least a hardcore hobby (and maybe double major in physics and ee). Here is what i have so far Calculus: everything Linear Alg: any time you deal with lots of vectors: GR, QFT. Vector Calc: EM Diff Geometry: GR Tensors: GR, mechanics Abstract Algebra: vector spaces/orthgonality etc for gr Group Theory: QFT, Knot Theory: Superstring Theory feel free to add more, pure math is welcome as long as the benefits and applications are specified. I am currently in high school and trying to plan out what to learn and when (i am an avid self studier), so any additions are highly appreciated!