Paul T Allen
Max Planck Institute for Gravitational Physics
(Albert Einstein Institute)
Am Muehlenberg 1
14476 Potsdam, Germany
+49 331-567-7237
paul . allen @ aei . mpg . de
Biography
Teaching
Please see my University of Washington website.
Research
In general, I am interested in problems in Geometric Analysis which involve addressing geometric questions by means of studying an associated partial differential equation. The specific things I spend most of my time thinking about include:
- Non-linear wave equations.
- Timelike minimal submanifolds of Lorentzian manifolds, also called membrane motion.
- Mathematical relativity, including the solvability of the constraint equations and long-time behaviour of solutions to the Einstein equations.
Published papers: