Mathematical physics includes the development of new mathematical methods for application to problems in physics, as well as the mathematically rigorous proofs of claims that physicists have only supported with nonrigorous arguments. Areas of physics covered run the gamut from classical mechanics through quantum theory, statistical mechanics and relativity to string theory. Mathematical techniques are similarly wide-ranging and include analysis, geometry, abstract algebra, probability and combinatorics. 

The UCSD mathematical physics group has particular interests in supermanifolds (for application to string theory), quantum computation, and classical and quantum gravity.