Staff Catalogue


Department of Mathematics and Statistics
FST 02 - Faculty of Pure and Applied Sciences, 056
University Campus
B.S in Mathematics (1998), University of North Carolina at Chapel Hill.
M.Sc. in Mathematics (2001), 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 (2011-2017).
Associate Professor, University of Cyprus (2017- ).
Global Analysis, Analysis and Partial Differential Equations on Manifolds, Mathematical Physics.
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.' Communications in Mathematical Physics 317:727–785, 2013. (doi=10.1007/s00220-012-1558-0)
Charalambous N., Lu Z. `On the spectrum of the Laplacian.'  Mathematische Annalen 359:211-238, 2014.
Charalambous N., Lu Z. `Heat kernel estimates and the essential spectrum on weighted manifolds.'  Journal of Geometric Analysis 25:536-563, 2015.
Charalambous N., Gross L. 'Neumann Domination for the Yang-Mills Heat Equation.' Journal of Mathematical Physics 56, 073505, 2015. 
Charalambous N., Lu Z., Rowlett J. 'Eigenvalue estimates on Bakry-Emery manifolds.' Book Chapter. Elliptic and Parabolic Equations, Springer Proceedings in Mathematics and Statistics 119:45-61, 2015. 
Charalambous N., Lu Z. `The L^1 Liouville Property on Weighted Manifolds.'  Contemporary Mathematics 653:65-79, 2015.
Charalambous N., Gross L. 'Initial behavior of solutions to the Yang–Mills heat equation.' Journal of Mathematical Analysis and Applications 451: 873–905, 2017.

Charalambous N., Lu, Z. `The spectrum of continuously perturbed operators and the Laplacian on forms.' Differential Geometry and Applications 65:227–240, 2019.

Charalambous N., Lu, Z. `The spectrum of the Laplacian on forms over flat manifolds.' Mathematische Zeitschrift, 296:1-12, 2020.
Charalambous N., Lu Z. `A note on Cheeger's isoperimetric constant.' Journal of Geometric Analysis 32:14pp, 2022.
Charalambous N., Grosse N. `A note on the spectrum of magnetic Dirac operators.' SIGMA 19, 102, 12 pages, 2023.
Charalambous N., Rowlett J. `The Laplace spectrum on conformally compact manifolds.' arXiv:2306.09291, To appear, Transactions of the AMS
Charalambous N., Lu Z. `Connected essential spectrum: The case of differential forms.' arXiv:2106.01992, To appear, Israel Journal of Mathematics
Charalambous N., Grosse N. `On the L^p spectrum of the Dirac Operator.' Journal of Geometric Analysis 44:24pp, 2023.