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.
Department of Mathematics and Statistics
University of Cyprus
Office: 056 FST02
Phone: + 357 - 22892759