Alexander Grigor'yan, Professor of  Mathematics

  Email  grigor at

  Tel : +49 -(0)521-106-4996

  Address: Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, 33501 Bielefeld, Germany

  Room: V4-234


  Married, two children, two grandchildren.




Research Interests

Geometric Analysis on Riemannian manifolds, graphs, and metric spaces

This includes partial differential equations of elliptic and parabolic types on Riemannian manifolds,  random walks on graphs, function theory and diffusion processes on fractal spaces, etc. The main direction of my research is investigation of the global properties of solutions to elliptic and parabolic equations in connection with the geometry "in the large" of the underlying space. Here are some examples of such properties: heat kernel estimates, Liouville properties, recurrence and non-explosion of the heat semigroup, estimates of the eigenvalues of the Laplace and Schrödinger operators, long time behavior of random walks and diffusions, etc.

Heat Kernels and Analysis on Manifolds and Fractals, Bielefeld, July 11-16, 2016

Publications and preprints


Invited lectures at International Conferences

Research seminar "Geometric Analysis"

Undergraduate and Graduate Lecture Courses


Visiting Lecture Courses and Selected Lectures

Useful links

This page was last updated on September 10,  2016