András Vasy

Vasy uses the microlocal approach (phase space techniques motivated by classical/quantum correspondence) to partial differential equations to obtain diverse results in scattering theory, inverse problems and in the study of wave equations, in particular of the Einstein equation. Highlights: 1) full non-linear stability of (slowly rotating) Kerr-de Sitter (positive cosmological constant) black holes-the first result of this kind without any symmetry assumptions (part of a general on-going program with his former student Hintz); 2) development of new methods for determining a compact Riemannian manifold with boundary from local information about the distance function between boundary points (work with Uhlmann and Stefanov); 3) effective meromorphic continuation of Green's function in scattering on asymptotically hyperbolic manifolds; in Euclidean scattering that has been provided by the complex scaling method since the 70s (Bocher Prize of the American Mathematical Society).