ΝΕΛΙΑ ΧΑΡΑΛΑΜΠΟΥΣ
22892759
...
ΚΑΘΗΓΗΤΗΣ/ΡΙΑ
Τμήμα Μαθηματικών και Στατιστικής
ΘΕΕ 02 - Σχολή Θετικών και Εφαρμοσμένων Επιστημών, 056
Πανεπιστημιούπολη
Εκπαίδευση:
B.S Μαθηματικά (1998), University of North Carolina at Chapel Hill.
M.Sc. Μαθηματικά (2001), Cornell University.
Ph.D Μαθηματικά (2004), Cornell University.
Ακαδημαϊκές Θέσεις:
Μεταδιδακτορική Ερευνητής και Λέκτορας, Cornell University (2004-2005).
Επισκέπτης Βοηθός Καθηγήτρια, University of California at Irvine (2005-2007).
Αναπληρώτρια Καθηγήτρια, Instituto Tecnologico Autonomo de Mexico (2007-2011).
Επίκουρη Καθηγήτρια, Πανεπιστήμιο Κύπρου (2011-2017).
Αναπληρώτρια Καθηγήτρια, Πανεπιστήμιο Κύπρου (2017-2024)
Καθηγήτρια, Πανεπιστήμιο Κύπρου (2024-)
Ολική Ανάλυση, Ανάλυση και Μερικές Διαφορικές Εξισώσεις σε πολλαπλότητες, Μαθηματική Φυσική.
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 Differential Equations 233:291-312, 2007. (doi:10.1016/j.jde.2006.10.007)
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., 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., Grosse N. `On the L^p spectrum of the Dirac Operator.' Journal of Geometric Analysis 44:24pp, 2023.
Charalambous N., Rowlett J. `The Laplace spectrum on conformally compact manifolds.' Transactions of the AMS 377: 3373–3395, no. 5, 2024.
Charalambous N., Lu Z. `L^p spectral theory for the Laplacian on forms.' Journal of Functional Analysis, 289, no. 6: Paper No. 110976, 44 pp., 2025
Charalambous N., Lu Z. `Connected essential spectrum: The case of differential forms.' Israel Journal of Mathematics, https://doi.org/10.1007/s11856-026-2897-4, 2026