Mathematical Physics

Mathematical Physics develops and applies advanced mathematical methods to enable the solution of difficult problems in physics. It often is the work of mathematicians with a strong physics interest and intuition, or of physicists who are also highly regarded in mathematics. Very advanced mathematical methods are applied (by individuals or collaborators) to important but difficult physics concepts to rigorously establish the behavior of theoretical systems, resolve conundrums or find new directions. The PHY Mathematical Physics program is dedicated to supporting such research. Proposals to the Mathematical Physics Program are evaluated by a PHY Mathematical Physics Panel, composed of physicists and mathematicians expert in the many varied aspects of the field. The areas covered include fundamental quantum theory, quantum field theory, string theory, nonlinear dynamics, fluid mechanics, turbulence, chaos and complexity, and statistical physics. The importance of the mathematics is a critical consideration along with the merit and implications for physics of the application. A proposal for which the mathematics is mainly computational or standard, though it could be very sophisticated, may be more competitive for funding in another program.In addition, the program supports infrastructure activities such as short- and long-term visitor programs, workshops, and research centers involving the participation of external scientists from universities, national laboratories, and industry, as well as graduate students and postdoctoral fellows.