Profile
Education:
B.S in Mathematics (1998), University of North Carolina at Chapel Hill.
M.Sc. in Mathematics (2000), Cornell University.
Ph.D in Mathematics (2004), Cornell University.
Academic Positions:
Postdoctoral Associate and Lecturer, Cornell University (2004-2005).
Visiting Assistant Professor, University of California at Irvine (2005-2007).
Associate Professor, Instituto Tecnologico Autonomo de Mexico (2007-2011).
Assistant Professor, University of Cyprus (2011- ).
Research Interests
Global Analysis, Analysis and Partial Differential Equations on Manifolds.
Selected Publications
Charalambous N. `On the Lp Independence of the Spectrum of the Hodge Laplacian on Non-Compact Manifolds.' Journal of Functional Analysis 224:22-48, 2005. (doi:10.1016/0022-1236(80)90042-7)
Charalambous N. `On the Equivalence of Heat Kernel Estimates and Logarithmic Sobolev Inequalities for the Hodge Laplacian.' Journal of Di fferential Equations 233:291-312, 2007.
(doi:10.1016/j.jde.2006.10.007)
Charalambous N. `L2 Harmonic Forms and the Structure of Complete Manifolds.' Proceedings of the International Conference in Memory of Jose F. Escobar, Revista Matematicas: Ense~nanza Universitaria de la ERM, 2007.
Charalambous N. `Eigenvalue Estimates for the Bochner Laplacian and Harmonic Forms on Com-
plete Manifolds.' Indiana University Mathematics Journal 59:183-206, 2010.
Charalambous N., Gross L. `The Yang-Mills Heat Semigroup on Three-Manifolds with Boundary.' (Arxiv preprint arXiv:1004.1639, 2010)
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