Hello, 1. I am puzzled about which to be : theoretical physicist or pure mathematician !! what should i do ? 2. If i decided to be a theoretical physicist : should i study some pure maths to make new theory in physics ? Like general relativity : the maths used on it was before it a pure maths that is useless . 3. Is learning or reading the proofs of maths theorems useful for theoretical physicist ? Note : if i decided to be a theoretical physicist i would specialize in quantum gravity .