Description: C:\web\ag2011.jpg  Alexander Grigor'yan, Professor of  Mathematics

  Email  grigor at

  Tel : +49-(0)521-106-4996, Secretary: +49-(0)521-106-4775


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

 Room: V4-234 

Research Interests

Geometric Analysis on Riemannian manifolds, graphs, and metric spaces

This includes partial differential equations of elliptic and parabolic types on Riemannian manifolds,  
analysis and random walks on graphs,  function theory and Markov 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 on various spaces, long time behavior of random walks and diffusions, etc.

Publications and preprints
Invited lectures at International Conferences
Conferences organized

Research seminar "Geometric Analysis"

Undergraduate and Graduate Lecture Courses

Undergraduate Seminars

Selected Lectures and Short Lecture Courses

Useful links

This page was last updated on December 25, 2023