Mathematics in itself is a great subject using which we can figure out a lot of stuff, but again without the laws of physics one cannot derive ‘useful’ information from mathematics i.e. information about physical reality….. Bernhard Riemann came up with the geometry of curved surfaces but without Albert Einstein’s General Relativity that theory would in itself be of no good. On the other side physical theories require Math to be comprehensive and useful in predicting certain things. So we arrive at the conclusion that Physics and Math are without a doubt pretty much dependent on each other. Physics is the part close to reality whereas Mathematics is the underlying mechanism that makes physics comprehensive and applicable to the real world. The theory of higher dimensions from math forms the basis of String theory while string theory is the one that describes physical reality.