Global Analysis and Partial Differential Equations on manifolds:
The Laplacian operator on functions and differential k-forms over noncompact Riemannian manifolds, spectral properties, heat kernel and eigenvalue estimates.
The drifting Laplacian over metric measure spaces, its spectrum, heat kernel and eigenvalue estimates, and properties of f-harmonic functions.
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.