Global Analysis and Partial Differential
Equations on manifolds:
The Laplacian operator on functions and
over noncompact Riemannian manifolds, spectral
properties, heat kernel and eigenvalue
The drifting Laplacian over metric measure
spaces, its spectrum, heat kernel and eigenvalue
estimates, and properties of f-harmonic
Mathematical Physics: The
Yang-Mills heat equation on 3-manifolds with
boundary, existence and uniqueness of solutions
and integral estimates.
Currently accepting applications for a
Postdoctoral Position in Global Analysis.
This is part of my research program Spectral
Properties of Riemannian Manifolds, funded by
the University of Cyprus. Candidates currently
working in related areas in Global Analysis are
also invited to apply.