Login

Georges Elias Habib

Full professor
Mathematics department - Section II - Fanar
Speciality: Mathematics
Specific Speciality: Spin Geometry, Theory of Foliations, Müntz spaces

Positions
2013 - present : Professor

Faculty of Sciences II, Lebanese University

2008 - 2013 : Associate Professor

Faculty of Sciences II, Lebanese University

2007 - 2008 : Post-doc

Max-Planck Institut für Mathematik, Leipzig, Germany

2005 - 2007 : Teaching and Research assistant (ATER)

University of Henri Poincaré, Nancy, France

OrganizingofScientificEvents 9 organized events
Humboldt Kolleg Conference: "At the Confluence of Analysis, Geometry and Modern Mathematical Physics''

Conference, Doctoral School of Sciences and Technology, Lebanese University
February 2018

Conference on Differential Geometry

Conference, American University of Beirut (AUB)
May 2016

Conference on Differential Geometry

Conference, Notre Dame University and CAMS (AUB)
April 2015

Spin Geometry and Analysis on Manifolds

Conference, Centre International de Rencontres Mathématiques, France
October 2014

Journées de Géométrie Différentielle

Conference, Faculty of Sciences II, Lebanese University
May 2014

Journées de Géométrie Différentielle

Conference, Faculty of Sciences II, Lebanese University
March 2013

Journées de Géométrie Différentielle

Conference, Faculty of Sciences II, Lebanese University
December 2011

Journée de Géométrie Différentielle

Conference, Faculty of Sciences II, Lebanese University
December 2010

LSMS, First Annual Meeting

Conference, Faculty of Sciences II, Lebanese University
January 2010

Education
2003 - 2006: Ph.D. thesis in Mathematics

University of Henri Poincaré, Nancy, France. Advisor: Oussama Hijazi. Subject: Energy-Momentum tensor and foliations. Jury: Jean-Pierre Bourguignon (Pres.), Aziz ElKacimi (Ref.), Andrei Moroianu (Ref.), Kris Galicki, Oussama Hijazi, Sebastien Montiel, Harold Rosenberg

2002 - 2003: D.E.A. (Master degree) in Mathematics

Lebanese University. Master thesis: Basic Dirac operator on spin foliations

Conferences 29 participations
Seminar talks: USJ, Nancy, Valenciennes, Nantes, Potsdam, Neuchâtel, Berlin, Tours, Luxembourg, Jussieu, Kaslik, Brest, CAMS-AUB

February 2006: Invitation by Christian Bär at University of Potsdam, Germany (one week)

March 2006: Invitation by Bruno Colbois at University of Neuchâtel, Switzerland (one week)

May 2006: Invitation by Thomas Friedrich at Humboldt University of Berlin, Germany (one week)

May 2008: Invitation by Ines Kath at University of Greifswald, Germany (one week)

JULY 2008: TALK GIVEN AT THE “VIII INTERNATIONAL COLLOQUIUM ON DIFFERENTIAL GEOMETRY”, SANTIAGO DE COMPOSTELA, SPAIN

JULY-AUGUST 2009: RESEARCH STAY AT THE MAX-PLANCK INSTITUT FÜR MATHEMATIK, LEIPZIG, GERMANY

JULY-AUGUST 2010: RESEARCH STAY AT MAX-PLANCK INSTITUT FÜR MATHEMATIK, LEIPZIG, GERMANY

JULY 2010: INVITATION BY NICOLAS GINOUX AT UNIVERSITY OF REGENSBURG, GERMANY (ONE WEEK)

AUGUST 2010: TALK GIVEN AT THE CONFERENCE “DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS”, BRNO, CZECH REPUBLIC

JULY-AUGUST 2011: RESEARCH STAY AT THE MAX-PLANCK INSTITUT FÜR MATHEMATIK, LEIPZIG, GERMANY

AUGUST 2011: INVITATION BY NICOLAS GINOUX AT UNIVERSITY OF REGENSBURG, GERMANY (ONE WEEK)

FEBRUARY 2012: TALK GIVEN AT THE CIMPA RESEARCH SCHOOL “SUB-RIEMANNIAN GEOMETRY”, LEBANESE UNIVERSITY, LEBANON

OCTOBER 2012: INVITED PROFESSOR AT UNIVERSITY OF HENRI POINCARÉ, FRANCE (ONE MONTH)

OCTOBER 2012: INVITATION BY ALI FARDOUN AT UNIVERSITY OF BREST, FRANCE (ONE WEEK)

FEBRUARY 2013: RESEARCH IN PAIRS WITH NICOLAS GINOUX (UNIVERSITY OF REGENSBURG) AT THE CENTRE INTERNATIONAL DE RENCONTRES MATHEMATIQUES, (CIRM), LUMINY, FRANCE

AUGUST 2013: INVITATION BY KEN RICHARDSON AT TEXAS CHRISTIAN UNIVERSITY, U.S.A. (THREE WEEKS)

JULY 2014: INVITATION AT UNIVERSITY OF LA ROCHELLE, FRANCE

APRIL 2015: TALK GIVEN AT "CONFERENCE ON DIFFERENTIAL GEOMETRY", NOTRE DAME UNIVERSITY, BEIRUT, LEBANON

June-September 2015: Research stay at University of Potsdam and Greifswald, Humboldt Research Fellowship, Germany

JANUARY 2016: TALK GIVEN AT THE CONFERENCE “JOURNÉES NANCÉIENNES DE GÉOMÉTRIE'', NANCY, FRANCE

MAY 2016: TALK GIVEN AT THE "LEBANESE SOCIETY FOR MATHEMATICAL SCIENCES" CONFERENCE, LEBANESE UNIVERSITY, LEBANON

JUNE-SEPTEMBER 2016: RESEARCH STAY AT UNIVERSITY OF POTSDAM AND GREIFSWALD, HUMBOLDT RESEARCH FELLOWSHIP, GERMANY

JULY 2016: INVITATION BY UWE SEMMELMANN AT UNIVERSITY OF STUTTGART, GERMANY (ONE WEEK)

OCTOBER 2016: TALK GIVEN AT THE CONFERENCE "GÉOMÉTRIE ET THÉORIE SPECTRALE", LEBANESE UNIVERSITY, TRIPOLI, LEBANON

JANUARY 2017: INVITATION BY PASCAL LEFÈVRE AT UNIVERSITY OF ARTOIS, FRANCE (ONE WEEK)

MARCH 2017: RESEARCH IN PAIRS WITH KEN RICHARDSON (TEXAS CHRISTIAN UNIVERSITY) AT THE CENTRO INTERNAZIONALE PER LA RICERCA MATEMATICA, (CIRM), TRENTO, ITALY (ONE WEEK)

JUNE-SEPTEMBER 2017: RESEARCH STAY AT UNIVERSITY OF POTSDAM AND GREIFSWALD, HUMBOLDT RESEARCH FELLOWSHIP, GERMANY

May 2018: Talk given at the 8th Annual Meeting of LSMS, Lebanese American University, Lebanon

Publications 26 publications
[26] Homotopy invariance of cohomology and signature of a Riemannian foliation (with K. Richardson), [arXiv:1703.10448]. To appear in Math. Zei., 2019

[25] The Bochner formula for Riemannian flows (with F. Chami), [arXiv:1808.04115]. Submitted, 2019

[24] A splitting theorem for Riemannian manifolds of generalised Ricci-Hessian type (with N. Ginoux and I. Kath), [arxiv:1809.07546]. Submitted, 2019

[23] Eigenvalue bounds of the Robin Laplacian with magnetic field (with A. Kachmar), [arXiv:1707.07939]. Archiv der Math. (110), 501-513, 2018

[22] Riemannian flows and adiabatic limits (with K. Richardson), [arXiv:1703.10447]. Int. J. Math. (29), 1850011, 2018

[21] Eigenvalue Estimate for the basic Laplacian on manifolds with foliated boundary, part II (with F. Chami, O. Makhoul and R. Nakad), [arXiv:1604.02304]. Medit. J. Math. 15:67, 2018

[20] Eigenvalue Estimate for the basic Laplacian on manifolds with foliated boundary (with F. Chami, O. Makhoul and R. Nakad), [arxiv:1512.04683]. Ricer. di Math. (67), 765-784, 2018

[19] Essential norms of Volterra and Cesàro operators on Müntz spaces (with I. Al alam, P. Lefèvre and F. Maalouf), [arXiv:1612.03218]. Colloq. Math. (151), 157-169, 2018

[18] Essential norms of Cesàro operators on L^p and Cesàro spaces (with I. Al alam, L. Gaillard, P. Lefèvre and F. Maalouf), [Hal:01648668]. J. Math. Anal. and Appli. (467), 1038-1065, 2018

[17] Rigidity results for Riemannian spin^c manifolds with foliated boundary (with F. Chami, N. Ginoux and R. Nakad), [arXiv:1612.03746]. Results in Math. (72), 1773–1806, 2017

[16] Rigidity results for spin manifolds with foliated boundary (with F. Chami, N. Ginoux and R. Nakad), [arXiv:1412.1339]. J. Geom. (107), 533-555, 2016

[15] Some remarks on Calabi-Yau and Hyper- Kähler foliations (with L. Vezzoni), [arXiv:1306.5159]. Diff. Geom. and Appli. (41), 12-32, 2015

[14] A new upper bound for the Dirac operator on hypersurfaces (with N. Ginoux and S. Raulot), [arXiv:1402.1049]. Pacific J. Math. (278), 79-101, 2015

[13] Riemannian foliations with a parallel or harmonic basic form (with F. Chami and R. Nakad), [arXiv:1310.8060]. Archivum Math. (51), 71-85, 2015

[12] The twisted Spin^c Dirac operator on Kähler submanifolds of the complex projective space (with R. Nakad), [arXiv:1207.2642]. J. Geom. Phys. (77), 43-47, 2014

[11] Modified differentials and basic cohomology for Riemannian foliations (with K. Richardson), [arXiv:1007.2955]. J. Geom. Anal. (23), 1314-1342, 2013

[10] Skew Killing spinors (with J. Roth), [arXiv:1110.2061]. Cent. Eur. J. Math. (10), 844-856, 2012

[9] The energy-momentum tensor on low dimensional Spin^c manifolds (with R. Nakad), [arXiv:1204.0541]. Int. J. Math. (23), 1250090, 2012

[8] The spectrum of the twisted Dirac operator on Kähler submanifolds of the complex projective space (with N. Ginoux), [arXiv:1101.4830]. Manus. Math. (137), 215-231, 2012

[7] A spectral estimate for the Dirac operator on Riemannian flows (with N. Ginoux), [arXiv:1010.1107]. Cent. Eur. J. Math. (8), 950-965, 2010

[6] A brief note on the spectrum of the basic Dirac operator (with K. Richardson), [arXiv:0809.2406]. Bull. London Math. Soc. (41), 683-690, 2009

[5] Remarques sur les spineurs de Killing transversaux (with N. Ginoux), [arXiv:0809.2729]. C. R. Acad. Sci. Paris Sér. I Math. (346) no 11-12, 657-659, 2008

[4] Geometric aspects of transversal Killing spinors on Riemannian flows (with N. Ginoux), [arXiv:0809.2679]. Abh. Math. Sem. Univ. Hamburg (78), 69-90, 2008

[3] Energy-Momentum tensor on foliations [arXiv:0707.0186]. J. Geom. Phys. (57), 2234-2248, 2007

[2] Eigenvalues of the basic Dirac operator on Quaternion- Kähler foliations [arXiv:0707.0203]. Ann. Glob. Anal. Geom. (30), 289-298, 2006

[1] Eigenvalues of the transversal Dirac operator on Kähler foliations [arXiv:0707.0202]. J. Geom. Phys. (56), 260-270, 2006

Supervision 2 Supervised Students
2013-2017: Supervision of a Ph.D. student (Lara Saliba) at the University of Brest under the joint direction with Ali Fardoun

Thesis entitled: "Problèmes d'existence pour les applications biharmoniques"

July 2014: Referee of a Ph.D. thesis (Ghina El Mir) at Univerisity of La Rochelle

Thesis entitled: "Algèbres de Clifford Conformes et Orbites de points de vue d’images"

Languages
Arabic

Native or bilingual proficiency

English

Full professional proficiency

French

Full professional proficiency