Publications

1. Une démonstration du théorème de Liouville en géométrie conforme

Enseignement Mathématique. (2) 49 (2003), no. 1-2, 95--100.  

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2. Autour du théorème de Ferrand-Obata (en collaboration avec Cédric Tarquini)

Annals of Global Analysis and Geometry. 21 (2002), no. 1, 51--62. 

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3. The conformal boundary of Margulis space-times

C. R. Math. Acad. Sci. Paris 336 (2003), no. 9, 751--756. 

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4. Des contre-exemples au théorème de Ferrand-Obata en géométrie Lorentzienne conforme 

   Math. Ann. 332 (2005), no. 1, 103--119.  

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5. Some Remarks on conformal pseudo-Riemannian actions of simple Lie groups (avec Abdelghani Zeghib) 

   Math. Res. Lett. 12 (2005), no. 1, 49--56. 

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6. Lorentzian Kleinian groups.

   Comment. Math. Helv. 80 (2005), no. 4, 883--910. 

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7. On lightlike geometry: isometric actions, and rigidity aspects (avec E.Bekkara et A.Zeghib) 

   C. R. Math. Acad. Sci. Paris 343 (2006), 317--321. 

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8. Causal conformal vector fields and singularities of twistor spinors 

   Annals of global analysis and geometry. 32 (2007), no. 4, 277--295. 

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9. Sur le groupe d'automorphismes des géométries paraboliques de rang un 

   Annales scientifiques de l'Ecole Normale Supérieure. 40 (2007). 

   English version.  pdf 

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10. Action of semi-simple groups preserving a degenerate Riemannian metric (with E.Bekkara and A.Zeghib) 

    Trans. Amer. Math. Soc. 362 (2010), 2415-2434.

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11. An embedding theorem for automorphism groups of Cartan geometries (with U.Bader and K.Melnick) 

    GAFA Vol19-2 (2009), 333-355.

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12. Conformal actions of nilpotent groups on pseudo-Riemannian manifolds (with K.Melnick) 

    Duke Math. Journal Vol 153. no 3. (2010), 511-550.

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13. Local dynamics of conformal vector fields  

    Geometriae Dedicata. Vol 158. no 1. (2012), 35-59.

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14. Dégénerescence locale des transformations conformes pseudo-riemaniennes  

    Annales de l'Institut Fourier. (à paraitre).

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15. About geometrically maximal manifolds  

    Journal of Topology. Vol 5. no 2. (2012), 293-322.

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16. Formes normales pour les champs conformes pseudo-riemanniens (with K. Melnick) 

    Bulletin de la SMF. 141 (2013) no3, 377-421.

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17. Removable and essential singular sets for higher dimensional conformal maps  

    Commentarii Mathematici Helvetici. 89 (2014), no2, 405-441.

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18. About pseudo-Riemannian Lichnerowicz conjecture 

    Transformation groups 20 (2015), no4, 1015-1022.

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19. Variations on Gromov's open-dense orbit theorem 

    Bull. Soc. Math. France 146 (2018), no4, 713-744.

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20. Topology of automorphism groups of parabolic geometries (with K. Melnick) 

    Geom. Topol. 23 (2019), no. 1, 135-169.

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21. Lorentz dynamics on closed 3-manifolds 

    Annales Henri Lebesgue. 3 (2020) 407-471.

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22. Isometry group of Lorentz manifolds: A coarse perspective.

GAFA 31 (2021), no 5. 1095-1159.

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Prépublications

1. The Lorentzian Lichnerowicz conjecture for real-analytic, three-dimensional manifolds. (with K. Melnick) 

   Disponible sur hal-03332493  

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Actes de colloques

1. The conformal boundary of anti-de Sitter space-times.

   AdS/CFT correspondence: Einstein metrics and their conformal boundaries, 205--216, IRMA Lect. Math. Theor. Phys., 8, Eur. Math. Soc., Zürich, 2005. 

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2. Essential conformal structures in Riemannian and Lorentzian geometry.

   Recent Developments in Pseudo-Riemannian Geometry; ESI series on Mathematics and Physics. European Mathematical Society. 2006. 

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3. Lorentzian 3-manifolds and dynamical systems.

   Séminaire de théorie spectrale et géométrie. 

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Ma thèse :

1. Géométrie et dynamique lorentziennes conformes

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Mémoire d'habilitation à diriger des recherches :

1. Quelques problèmes de géométrie conforme vus sous l'angle des structures de Cartan

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