HABIB Georges

Coauthors/Co-auteurs:

• Ihab Al Alam
• Lashi Bandara
• Volker Branding
• Michela Egidi
• Fida El Chami
• Loic Gaillard
• Nicolas Ginoux
• Katie Gittins
• Ayman Kachmar
• Ines Kath
• Pascal Lefèvre
• Fares Maalouf
• Ola Makhoul
• Roger Nakad
• Sylvie Paycha
• Norbert Peyerimhoff
• Mihaela Pilca
• Simon Raulot
• Julien Roth
• Ken Richardson
• Uwe Semmelmann
• Luigi Vezzoni
• Robert Wolak

Personnal data

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

Positions

• 2022- 2023: Senior Fellow at the Alfried Krupp Wissenschaftskolleg, Greifswald, Germany
• 2021- Present: Associate member of the geometry group at IECL, University of Lorraine, France
• 2013- Present: Professor at the Department of Mathematics of the Faculty of Sciences of the Lebanese University
• 2008-2013: Associate Professor at the Department of Mathematics of the Faculty of Sciences of the Lebanese University
• 2007-2008: Postdoctoral research position at the Max-Planck Institut für Mathematik, Leipzig, Germany
• 2005-2007: ATER (teaching and research assistant position) at University Henri Poincaré, Nancy I, France

Education

• 2020-2021: Habilitation thesis (HDR) in Mathematics at University of Lorraine, France
  Title: Cohomologie sur les feuilletages riemanniens et étude spectrale des opérateurs du type laplacien
  Academic Host: Benoît Daniel
  Jury: Ilka Agricola (Ref.), Vicente Cortés (Pres.), Nadine Grosse, Yuri Kordyukov, Andrei Moroianu, Liviu Ornea (Ref.), Alessandro Savo, Robert Wolak (Ref.)
• 2003-2006: Ph.D. thesis in Mathematics at University of Henri Poincaré, Nancy I, France
  Title: Tenseur d’impulsion-énergie et feuilletages
  Advisor: Oussama Hijazi
  Jury: Jean-Pierre Bourguignon (Pres.), Aziz ElKacimi Alaoui (Ref.), Andrei Moroianu (Ref.), Kris Galicki, Sebastien Montiel, Harold Rosenberg
• 2002-2003: D.E.A. (master degree) in Mathematics at the Lebanese University
  Title: Basic Dirac operator on spin foliations
  Advisor: Oussama Hijazi

Recent Research grants and fellowships

• 2023-2024: Atiyah UK-Lebanon Fellowship from London Mathematical Society (LMS) and the Center for Advanced Mathematical Sciences (CAMS) for a stay of 3 months at University of Durham, UK.
• 2023-2024: Grant from the Centre National de la recherche Scientifique (CNRS) of the research program International Emerging Actions (IEA) in partnership with Nicolas Ginoux (Univ. of Lorraine) and Simon Raulot (Univ. of Rouen).
• 2022-2023: Fellowship from the the Alfried Krupp Wissenschaftskolleg, for a stay of one year in Greifswald, Germany.
• 2022: Grant from the French Embassy in Beirut of the program SAFAR for a research stay of two weeks at University of Lorraine, France.
• 2020-2022: Research group Linkage funded by Alexander von Humboldt Foundation in partnership with Sylvie Paycha (Univ. of Potsdam) and Florian Bertrand (Amer. Univ. of Beirut ). Title of the project: At the confluence of Geometry, Analysis and Mathematical Physics.
• 2020-2021: CEDRE Lebanese-French research program in partnership with Isabelle Chalendar (Univ. Gustave Eiffel) . Title of the project: Théorie spectrale des semi-groupes d’opérateurs de composition pondérés.

Research stays and talks

• July 2024: Research stay (1 week) at Jagiellonian University, Krakow, Poland.
• June-August 2024: Research stay (3 months) and conference talk at University of Durham as part of Atiyah UK-Lebanon fellowship.
• April 2024: Research stay (3 days) and seminar talk in the framework of IEA HOPF at University of Lorraine, France.
• December 2023: Research stay (1 week) and seminar talk at University of Potsdam, Germany.
• September 2023: Research stay (1 week) at University of Lorraine, France.
• June 2023: Research stay (2 weeks) at Jagiellonian University, Poland.
• June 2023: Research stay (1 week) and conference talk in the framework of IEA HOPF, Rouen, France.
• June 2023: Seminar talk at University of Greifswald, Germany.
• March 2023: Research stay (2 days) at University of Heidelberg, Germany.
• March 2023: Seminar talk at University of Mulhouse, France.
• February 2023: Research stay (3 days) at University of Gustave Eiffel, France.
• February 2023: Research in Pairs (1 week) with Nicolas Ginoux (Univ. of Lorraine) and Simon Raulot (Univ. of Rouen) at CIRM, Luminy, France.
• February 2023: Research stay (1 week) and seminar talk at University of Potsdam, Germany.
• February 2023: Research stay (1 week) and seminar talk at University of Ioannina, Greece.
• January 2023: Seminar talk at University of Marburg, Germany.
• January 2023: Seminar talk at University of Hamburg, Germany.
• 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 (Univ. Lorraine) and Simon Raulot (Univ. 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 Univ.) at 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).

Organization of conferences

• 2023-2024: Organizer with Sylvie Paycha of the online colloquium « Mathematics in Lebanon and beyound ».
• October 2023: Organizer with Giuseppe Della Sala and Sylvie Paycha of the conference « At the confluence of Geometry, Analysis and Mathematical Physics », AUB, Beirut, Lebanon.
• June 2023: Organizer of « Sasakian manifolds, Riemannian foliations, and related topics », Krakow, Poland.
• June 2023: Organizer of « Journée rouennaise d’analyse géométrique », Rouen, France.
• 2010-2022: 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.
• October 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

• 2023-2026: Supervision of PhD student, Rodolphe Abou Assali, together with Nicolas Ginoux and Samuel Tapie (University of Lorraine, France). Thesis funded by SAFAR’s program from the French embassy in Beirut, IECL and Lebanese University. Title: « Problème de Steklov biharmonique sur les formes différentielles ».
• 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.
• 2008-Present: Supervision of several Master degree students and member of the jury for thesis defences.

Service

• 2022: Reviewer of a research project for the Swiss National Science foundation
• July 2014: Reviewer of the Ph.D. thesis of Ghina El Mir at University of La Rochelle, France
• 2008-Present: Reviewer for Mathematics reviews of the AMS and Zentralblatt MATH
• 2008-Present: Reviewer for several journals: Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg, 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, SIGMA

Administrative activities

• 2019-2023: 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

Others

• Languages: Arabic (native), French and English (fluent)

• • • Geometric singularities and Hodge theory (with Lashi Bandara)
      Submitted, (2024).
    • Transverse geometric formality (with Ken Richardson and Robert Wolak)
      Submitted, (2024).
    • A Poincaré formula for differential forms and applications (with N. Ginoux and S. Raulot)
      SIGMA 19 (2023), 088.
    • A generalised Ricci-Hessian equation on Riemannian manifolds (with N. Ginoux)
      Submitted.
    • A pseudodifferential analytic perspective on Getzler’s rescaling (with S. Paycha)
      SIGMA 20 (2024), 010.
    • Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms (with M. Egidi, K. Gittins and N. Peyerimhoff)
      J. Spectral Theory, 13 (2023), no. 4, 1297–1343.
    • Biharmonic Steklov operator on differential forms (with N. Ginoux, F. El Chami and O. Makhoul)
      Submitted.
    • Eigenvalue estimates on weighted manifolds (with V. Branding)
      Results in Math. 79 (2024), 187.
    • 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 Calabi metrics on line bundles (with N. Ginoux, M. Pilca and U. Semmelmann)
      North-West. Eur. J. Math. 6, 119-136 (2020).
    • 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).
    • New cohomological invariants of foliations (with  K. Richardson)
      Asian J. Math.
    • A splitting theorem for Riemannian manifolds of generalized Ricci Hessian type (with N. Ginoux and I. Kath)
      Preprint.
    • The Bochner formula for Riemannian flows (with F. El Chami)
      Results in Math. 77:25, (2022).
    • Eigenvalue bounds of the Robin Laplacian with magnetic field (with A. Kachmar)
      Archiv. der Math. 110, 501-513 (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).
    • Homotopy invariance of cohomology and signature of a Riemannian foliation (with  K. Richardson)
      Math. Zei. 293, 579-595 (2019).
    • Riemannian flows and adiabatic limits (with  K. Richardson)
      Inter. J. Math. 29, 1850011 (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).
    • 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 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).
    • 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).
    • Modified differentials and basic cohomology for Riemannian foliations (with K. Richardson)
      J. Geom. Anal. 23, 1314-1342 (2013).
    • 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).
    • A brief note on the spectrum of the basic Dirac operator (with K. Richardson)
      Bull. London Math. Soc. 41, 683-690 (2009).
    • 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).
    • Energy-Momentum tensor on foliations
      J. Geom. Phys. 57, 2234-2248 (2007).

     

• Cohomologie sur les feuilletages riemanniens et étude spectrale des opérateurs du type laplacien, Habilitation thesis, University of Lorraine, 2021
• Tenseur d’impulsion-énergie et feuilletages, PhD thesis, University Henri Poincaré, Nancy I, 2006