Professor Grigor’yan is based in the Faculty of Mathematics, University of Bielefeld, Germany. His research interests lie in geometric analysis on Riemannian manifolds, graphs and metric spaces, including partial differential equations of elliptic and parabolic types on Riemannian manifolds, random walks on graphs, etc. The main direction of his research is the investigation of the global properties of solutions to elliptic and parabolic equations in connection with the geometry "in the large" of the underlying space.