http://www.axler.net/

Sheldon Axler, Paul Bourdon, Wade Ramey

GTM137 Harmonic Function Theory

http://www.math.washington.edu/~wardm4/

http://www.dfm.uninsubria.it/pigola/

Assistant Professor
 
Università dell\'Insubria
Dipartimento di Scienza e Alta Tecnologia - Sezione di Matematica
Via Valleggio 11, 22100 Como, ITALY

http://wwylie.mysite.syr.edu/

I am an assistant professor in the geometry/topology and analysis groups in the Syracuse University mathematics department.

My research interests are in Riemannian geometry and related areas of geometric analysis and topology.

http://faculty.math.tsinghua.edu.cn/~hli/

Distinguished Professor of Mathematics
Distinguished Professor of Computer Science and Engineering

http://www.ugr.es/~ritore/

http://www.math.umass.edu/~bill/

George David Birkoff Professor of Mathematics

http://www.math.jhu.edu/~js/

Department of Mathematics
Johns Hopkins University
Baltimore, MD 21218

http://www.math.uni-bielefeld.de/~grigor/

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 behaviour of random walks and diffusions, etc.