HABIB Georges

Position Associate member
Research group Geometry
Research fields

• Differential Geometry: geometry of submanifolds, of Kählerian and Sasaki manifolds, of Riemannian foliations
• Analysis on manifolds: spectral geometry of Dirac-type operators
• Functional Analysis: Müntz spaces

Mail

IECL – Site de Nancy
Faculté des sciences et Technologies
Campus, Boulevard des Aiguillettes
54506 Vandœuvre-lès-Nancy

Email ghabib@ul.edu.lb

Coauthors/Co-auteurs:

Personnal data

  • Lebanese citizenship
  • Born October 12, 1980 in Beirut (Lebanon)
  • Family status: Married

Positions

Education

Research grants and fellowships

  • Conferences and talks

    • January 2023: Fellow lecture at Alfried Krupp Wissenschaftskolleg, Greifswald, Germany
    • December 2022: Seminar Talk at University of Greifswald, Germany.
    • September 2022: Research stay (1 week) at University of Gustave Eiffel, France.
    • August 2022: Research stay (2 weeks) at Jagiellonian University, Poland.
    • August 2022: Research stay (5 weeks) and seminar talk at University of Potsdam, Germany.
    • July 2022: Research in Pairs (2 weeks) with Nicolas Ginoux (University of Lorraine) and Simon Raulot (University of Rouen) at MFO, Germany.
    • June 2022: Research stay (2 weeks) at University of Lorraine, France.
    • May 2022: Research stay (3 days) and seminar talk at University of Brunel, UK.
    • May 2022: Research stay (2 weeks) and seminar talk at University of Durham, UK.
    • September 2021: Research stay (1 week) at University of Gustave Eiffel, France.
    • September 2021: Research in Pairs (2 weeks) with Ken Richardson (Texas Christian University) at the Centre International de Rencontres Mathématiques, (CIRM), Luminy, France.
    • September 2021: Research stay (1 week) at University of Potsdam, Germany.
    • August 2021: Research stay (1 month) at Max-Planck Institut für Mathematik, Bonn, Germany.
    • June 2021: Online talk at the “Ege Geometry day 3″, Ege University, Turkey.
    • June 2021: Online talk at the conference “Emerging Trends in Pure and Applied Mathematics”, University of Bahrein.
    • April 2021: Research stay (1 month) and seminar talk at University of Potsdam, Germany
    • March 2021: Research stay (1 month) at Max-Planck Institut für Mathematik, Bonn, Germany
    • February 2021: Seminar talk within the GAMP project (online)
    • November 2019: Seminar talk at University of Cyprus, Cyprus
    • August 2019: Research stay (1 week) at University of Regensburg, Germany
    • July 2019: Research stay (3 days) and seminar talk at University of Potsdam, Germany
    • July-August 2019: Research stay (2 months) at University of Greifswald, Germany
    • June 2019: Talk at the 9th Annual meeting of the “Lebanese Society for Mathematical Sciences”, Lebanese University, Beirut, Lebanon
    • April 2019: Research stay (1 week) and talk at the conference ”Riemannian and Kähler geometry”, IMAR, Bucharest, Romania
    • March 2019: Talk at the conference “Microlocal and Global Analysis, Interactions with Geometry”, University of Potsdam, Germany
    • May 2018: Talk at the 8th Annual meeting of the “Lebanese Society for Mathematical Sciences”, Lebanese American University, Byblos, Lebanon
    • February 2018: Research stay (2 weeks) at the University of Lorraine, France
    • June-September 2017: Research stay (3 months) at the University of Potsdam and Greifswald, Humboldt Research Fellowship, Germany
    • March 2017: Research in pairs (1 week) with Ken Richardson (Texas Christian University) at the Centro Internazionale per la Ricerca Matematica, (CIRM), Trento, Italy
    • January 2017: Research stay (1 week) at University of Artois, France
    • October 2016: Talk at the conference “Géométrie et théorie spectrale”, Lebanese University, Tripoli, Lebanon
    • June-September 2016: Research stay (3 months) at University of Potsdam and Greifswald, Humboldt Research Fellowship, Germany
    • July 2016: Research stay (1 week) at University of Stuttgart, Germany
    • May 2016: Talk at the 6th Annual meeting of the “Lebanese Society for Mathematical Sciences”, Lebanese University, Beirut, Lebanon
    • January 2016: Research stay (1 week) and talk at the conference “Journées Nancéiennes de Géométrie”, Nancy, France
    • October 2015: Seminar talk at the American University of Beirut, Lebanon
    • June-September 2015: Research stay (3 months) at the University of Potsdam and Greifswald, Humboldt Research Fellowship, Germany
    • April 2015: Talk at the conference “Conference on Differential Geometry”, Notre Dame University, Beirut, Lebanon
    • November 2014: Seminar talk at Saint-Joseph University, Lebanon
    • July 2014: Invitation (3 days) to the University of La Rochelle, France
    • August 2013: Research stay (3 weeks) at Texas Christian University, U.S.A.
    • February 2013: Research in Pairs (2 weeks) with Nicolas Ginoux (University of Lorraine) at the Centre International de Rencontres Mathématiques, (CIRM), Luminy, France.
    • October 2012: Research stay and seminar talk at University of Brest, France
    • October 2012: Invited Professor (1 month) at University of Lorraine, France
    • April 2012: Research stay (3 days) at Max-Planck Institut für Mathematik, Bonn, Germany
    • February 2012: Talk at the CIMPA research school “Sub-Riemannian Geometry”, Lebanese University, Beirut, Lebanon
    • July-August 2011: Research stay (2 months) at Max Planck Institut für Mathematik, Leipzig, Germany
    • August 2011: Research stay (1 week) at University of Regensburg, Germany
    • August 2010: Talk at the conference “Differential geometry and its applications”, Brno, Czech Republic
    • July-August 2010: Research stay (2 months) at Max-Planck für Mathematik, Leipzig, Germany
    • July 2010: Research stay (1 week) at University of Regensburg, Germany
    • July-August 2009: Research stay (2 months) at Max-Planck Institut für Mathematik, Leipzig, Germany
    • July 2008: Talk at the “VIII International Colloquium on Differential Geometry”, Santiago De Compostela, Spain
    • May 2008: Research stay (1 week) at University of Greifswald, Germany
    • December 2007: Seminar talk at University of Jussieu, France
    • November 2007: Seminar talk at University of Luxembourg, Luxembourg
    • May 2007: Seminar talk at University of Tours, France
    • March 2006: Research stay (1 week) and seminar talk at Humboldt University of Berlin, Germany
    • February 2006: Research stay (1 week) and seminar talk at University of Potsdam, Germany
    • March 2005: Research stay (1 week) and seminar talk at University of Neuchâtel, Switzerland
    • February 2005: Seminar talk at University of Nantes, France
    • January 2005: Seminar talk at University of Valenciennes, France

    Organization of conferences

    • 2010-Present: Seminar organizer at the Mathematics department of the Lebanese University.
    • July 2022: “Journées Nancéiennes de Géométrie”, IECL, France.
    • June 2022: Member of the scientific committee of the “Ege Geometry day 4″, University of Ege, Turkey.
    • March 2022: Online workshop “At the confluence of Geometry, Analysis and Mathematical Physics”, funded by Alexander von Humboldt foundation.
    • February 2020: Workshop “At the confluence of Geometry, Analysis and Mathematical Physics”, funded by Alexander von Humboldt foundation, Lebanese University.
    • March 2019: “North-South days on Geometric Analysis”, Faculty of Sciences III and IV, Lebanese University.
    • February 2018:“Humboldt Kolleg conference: At the confluence of Analysis, Geometry and Modern Mathematical Physics”, Doctoral School of Sciences and Technology, Lebanese University.
    • May 2016: “Meeting on Differential Geometry”, American University of Beirut (AUB).
    • April 2015: “Meeting on Differential Geometry”, Notre Dame University (Lebanon) and CAMS.
    • Ocotber 2014: “Spin Geometry and Analysis on Manifolds”, CIRM, Marseille, France.
    • May 2014: “Journées de Géométrie différentielle”, Faculty of Sciences II, Lebanese University.
    • March 2013: “Journées de Géométrie différentielle”, Faculty of Sciences II, Lebanese University.
    • December 2011: “Journées de Géométrie différentielle”, Faculty of Sciences II, Lebanese University.
    • December 2010: “Journées de Géométrie différentielle”, Faculty of Sciences II, Lebanese University.
    • January 2010: “LSMS First annual meeting”, Faculty of Sciences II, Lebanese University.

    Supervision

    • 2008-Present: Supervision of several Master degree students and member of the jury for thesis defences.
    • 2020-2023: Ph. D. student, Joelle Jreis in partnership with Pascal Lefèvre (Univ. of Artois) and Ihab Al Alam (Leb. Univ.). Title: Opérateurs de type Volterra sur les espaces de fonctions analytiques: idéaux et semi-groupes d’opérateurs.
    • 2009-2013 Ph.D. student, Safaa El Sayed, in partnership with Emmanuel Humbert (Univ. of Tours). Title: Chirurgie et second invariant de Yamabe,

    Service

    • 2008-Present: Reviewer for Mathematical Reviews of the AMS and Zentralblatt Math.
    • 2008-Present: Reviewer for several journals: Annals of Global Analysis and Geometry, Documenta
      Mathematica, Journal of Geometry and Physics, Central European Journal of Mathematics, Advances in Applied Clifford Algebras, Journal of Geometric Analysis, Differential Geometry and its Applications.
    • 2022: Reviewer of a research project for the Swiss National Science foundation (SNSF).
    • July 2014: Reviewer of the Ph.D. thesis of Ghina El Mir at University of La Rochelle, France.

    Administrative activities

    • 2019-Present: Cochair of the departmental Master program committee, Lebanese University
    • 2019-2023: Member of the council of the Department of Mathematics, Lebanese University
    • 2013-2017: Member of the council of the Department of Mathematics, Lebanese University
    • July 2014: Reviewer of the Ph.D. thesis of Ghina El Mir at University of La Rochelle, France
    • Reviewer for Mathematical Reviews and Zentralblatt Math. Reports for various journals

    Others

    • Languages: Arabic (native), French and English (fluent)
  • Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms (with Michela Egidi, Katie Gittins and Norbert Peyerimhoff) Submitted.
  • Biharmonic Steklov operator on differential forms (with N. Ginoux, F. El Chami and O. Makhoul) Submitted.
  • Eigenvalue estimates on weighted manifolds (with V. Branding) Submitted.
  • New cohomological invariants of foliations (with  K. Richardson) Submitted.
  • A splitting theorem for Riemannian manifolds of generalized Ricci Hessian type (with N. Ginoux and I. Kath) Submitted.
  • The Bochner formula for Riemannian flows (with F. El Chami)
    Results in Math. 77:25, (2022).
  • Skew Killing spinors in four dimensions (with N. Ginoux and I. Kath)
    Ann. Glob. Anal. Geom. 59, 501-535 (2021).
  • An Obata-type characterisation of doubly-warped product Kähler manifolds (with N. Ginoux, M. Pilca and U. Semmelmann)
    Münster J. Math. 14, 295-321 (2021).
  • New eigenvalue estimates involving Bessel functions  (with F. El Chami and N. Ginoux)
    Publ. Mat. 65, 681-726 (2021).
  • An Obata-type characterisation of Calabi metrics on line bundles (with N. Ginoux, M. Pilca and U. Semmelmann)
    North-West. Eur. J. Math. 6, 119-136 (2020).
  • Homotopy invariance of cohomology and signature of a Riemannian foliation (with  K. Richardson)
    Math. Zei. 293, 579-595 (2019).
  • Eigenvalue bounds of the Robin Laplacian with magnetic field (with A. Kachmar)
    Archiv. der Math. 110, 501-513 (2018).
  • Riemannian flows and adiabatic limits (with  K. Richardson)
    Inter. J. Math. 29, 1850011 (2018).
  • Essential norms of Cesàro operators on Lp and Cesàro spaces (with I. Al Alam, L. Gaillard,  P. Lefèvre and F. Maalouf)
    J. Math. Anal. and Appli. 467, 1038-1065 (2018).
  • Essential norms of Volterra and Cesàro operators on Müntz spaces (with I. Al Alam, P. Lefèvre and F. Maalouf)
    Collo. Math. 151, 157-169 (2018).
  • Eigenvalue estimate for the basic Laplacian on manifolds with foliated boundary, part II (with F. El Chami,  O. Makhoul and R. Nakad)
    Medit. J. Math. 15:67, (2018).
  • Eigenvalue estimate for the basic Laplacian on manifolds with foliated boundary (with F. El Chami,  O. Makhoul and R. Nakad)
    Ricer. di Math. 67, 765-784 (2018).
  • Rigidity results for spin^c manifolds with foliated boundary (with F. El Chami,  N. Ginoux and R. Nakad)
    Results in Math. 72, 1773-1806 (2017).
  • Rigidity results for spin manifolds with foliated boundary (with F. El Chami,  N. Ginoux and R. Nakad)
    J. Geom. 107, 533-555 (2016).
  • A new upper bound for the Dirac operator on hypersurfaces (with N. Ginoux and S. Raulot)
    Pacific J. Math. 278, 79-101 (2015).
  • Riemannian foliations with a parallel or harmonic basic form (with F. El Chami and R. Nakad)
    Archivum Math. 51, 71-85 (2015).
  • Some remarks on Calabi-Yau and Hyper-Kähler foliations (with L. Vezzoni)
    Diff. Geom. and Appli. 41, 12-32 (2015).
  • The twisted spin^c Dirac operator on Kähler submanifolds of the complex projective space (with R. Nakad)
    J. Geom. Phys. 77, 43-47 (2014).
  • Modified differentials and basic cohomology for Riemannian foliations (with K. Richardson)
    J. Geom. Anal. 23, 1314-1342 (2013).
  •  The energy-momentum tensor on low dimensional spin^c manifolds (with R. Nakad)
    Int. J. Math. 23, 1250090 (2012).
  •  Skew Killing spinors (with J. Roth)
    Cent. Eur. J. Math. 10, 844-856 (2012).
  • The spectrum of the twisted Dirac operator on Kähler submanifolds of the complex projective space (with N. Ginoux)
    Manus. Math. 137, 215-231 (2012).
  • A spectral estimate for the Dirac operator on Riemannian flows (with N. Ginoux)
    Cent. Eur. J. Math. 8, 950-965 (2010).
  •  A brief note on the spectrum of the basic Dirac operator (with K. Richardson)
    Bull. London Math. Soc. 41, 683-690 (2009).
  •  Remarques sur les spineurs de Killing transversaux (with N. Ginoux)
    C. R. Acad. Sci. Paris Sér. I Math. 346 no 11-12, 657-659 (2008).
  •  Geometric aspects of transversal Killing spinors on Riemannian flows (with N. Ginoux)
    Abh. Math. Sem. Univ. Hamburg 78, 69-90 (2008).
  • Energy-Momentum tensor on foliations 
    J. Geom. Phys. 57, 2234-2248 (2007).
  • Eigenvalues of the basic Dirac operator on Quaternion-Kähler foliations
    Ann. Glob. Anal. Geom. 30, 289-298 (2006).
  •  Eigenvalues of the transversal Dirac operator on Kähler foliations
    J. Geom. Phys. 56, 260-270 (2005).