From Mathematics to Physics Hey Everyone, I've recently completed a BA and MSc in Mathematics at a great university. I've mostly been an Algebraist for the last four years and I've been successful so studying for a PhD would certainly be an option. While I still consider myself to be mostly a mathematician, I've always held an interest in Physics and I like the idea of working with problems in Mathematics that come from questions in Physics. I understand that Lie Theory (which I love) is relevant to Particle Physics and that Differential Geometry is important in cosmology, but excluding these, I don't know what is relevant to current research. Quantum Groups? Symplectic Geometry? Representation theory? What are some hot areas of research that would make a good PhD project? Thanks (and sorry for asking such a broad question).