My research interests are primarily in general relativity theory, nonlinear partial differential equations, geometric analysis and differential geometry. More specifically, my research focuses on the Einstein equations in general relativity (GR). These equations govern the geometry of spacetime and thereby the phenomenon of gravitation. They constitute the physical laws of our universe. In particular, they exhibit a rich geometric structure that one has to reveal in order to answer questions from physics. GR is a rich source of many nonlinear hyperbolic and other problems in pde.
