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.

### Faculty

##### Jeffrey Rabin

Research Areas

Mathematical PhysicsMathematics Education

String Theory

Supermanifolds and Supervarieties

### Additional Faculty

##### Michael Holst

Research Areas

Numerical Differential EquationsMathematical Modeling and Applied Analysis

Mathematical Physics

##### Todd Kemp

Research Areas

Probability TheoryFunctional Analysis / Operator Theory

Mathematical Physics

Mathematics of Information, Data, and Signals