Fanny Kassel
Directrice de recherche, CNRS

Photo © Chris Peus / IHES

Laboratoire Alexander Grothendieck Institut des Hautes Études Scientifiques 35 route de Chartres 91440 Bures-sur-Yvette, France Office: 1S12 Email: kassel A ihes.fr Français

Papers

• Discrete subgroups of semisimple Lie groups, beyond lattices,

  to appear in the Proceedings of Groups St Andrews 2022 in Newcastle, LMS Lecture Notes series, Cambridge University Press.   pdf

• Groupes de surface dans les réseaux des groupes de Lie semi-simples

  [d'après J. Kahn, V. Marković, U. Hamenstädt, F. Labourie et S. Mozes],

  Séminaire Bourbaki, exposé 1181, October 2021.   Astérisque 438 (2022), p. 1-72.   pdf

• Geometric structures and representations of discrete groups,

  Proceedings of the ICM 2018, vol. 2, p. 1113-1150, World Scientific, 2019.   pdf

• Sharpness of proper and cocompact actions on reductive homogeneous spaces,

  with N. Tholozan,   arXiv:2410:08179.   pdf

• Eigenvalue gaps for hyperbolic groups and semigroups,

  with R. Potrie,   J. Mod. Dyn. 18 (2022), p. 161-208.   pdf

• Combination theorems in convex projective geometry,

  with J. Danciger and F. Guéritaud,   arXiv:2407.09439.   pdf

• H^p,q-convex cocompactness and higher higher Teichmüller spaces,

  with J. Beyrer,   arXiv:2305.15031.   pdf

• Convex cocompactness for Coxeter groups,

  with J. Danciger, F. Guéritaud, L. Marquis, and G.-S. Lee, to appear in J. Eur. Math. Soc.   pdf

• Convex cocompact actions in real projective geometry,

  with J. Danciger and F. Guéritaud,   Ann. Sci. Éc. Norm. Supér. 57 (2024), p. 1751-1841.   pdf

• Convex cocompactness in pseudo-Riemannian hyperbolic spaces,

  with J. Danciger and F. Guéritaud,   Geom. Dedicata 192 (2018), p. 87-126,

  special issue Geometries: A Celebration of Bill Goldman's 60th Birthday.   pdf

• Tameness of Riemannian locally symmetric spaces arising from Anosov representations,

  with O. Guichard and A. Wienhard,   arXiv:1508.04759.   pdf

• Compactification of certain Clifford-Klein forms of reductive homogeneous spaces,

  with F. Guéritaud, O. Guichard, and A. Wienhard,   Michigan Math. J. 66 (2017), p. 49-84.   pdf

• Anosov representations and proper actions,

  with F. Guéritaud, O. Guichard, and A. Wienhard,   Geom. Topol. 21 (2017), p. 485-584.   pdf

• Proper affine actions for right-angled Coxeter groups,

  avec J. Danciger et F. Guéritaud,   Duke Math. J. 169 (2020), p. 2231-2280.   pdf

• Fundamental domains for free groups acting on anti-de Sitter 3-space,

  with J. Danciger and F. Guéritaud,   Math. Res. Lett. 23 (2016), p. 735-770.   pdf

• Margulis spacetimes via the arc complex,

  with J. Danciger and F. Guéritaud,   Invent. Math. 204 (2016), p. 133-193.   pdf

• Compact anti-de Sitter 3-manifolds and folded hyperbolic structures on surfaces,

  with F. Guéritaud and M. Wolff,   Pacific J. Math. 275 (2015), p. 325-359.   pdf

• Geometry and topology of complete Lorentz spacetimes of constant curvature,

  with J. Danciger and F. Guéritaud,   Ann. Sci. Éc. Norm. Supér. 49 (2016), p. 1-56.   pdf

• Maximally stretched laminations on geometrically finite hyperbolic manifolds,

  with F. Guéritaud,   Geom. Topol. 21 (2017), p. 693-840.   pdf

• Some open questions on anti-de Sitter geometry,   arXiv:1205.6103,

  with T. Barbot, F. Bonsante, J. Danciger, W. M. Goldman, F. Guéritaud, K. Krasnov, J.-M. Schlenker, and A. Zeghib

• Spectral analysis on standard locally homogeneous spaces,

  with T. Kobayashi,   arXiv:1912.12601.   pdf

• Spectral analysis on pseudo-Riemannian locally symmetric spaces,

  with T. Kobayashi,   Proc. Japan Acad. Ser. A Math. Sci. 96 (2020), p. 69-74.   pdf

• Invariant differential operators on spherical homogeneous spaces with overgroups

  with T. Kobayashi,   J. Lie Theory 29 (2019), p. 663-754.   pdf

• Poincaré series for non-Riemannian locally symmetric spaces

  with T. Kobayashi,   Adv. Math. 287 (2016), p. 123-236.   pdf

• Stable spectrum for pseudo-Riemannian locally symmetric spaces,

  with T. Kobayashi,   C. R. Math. Acad. Sci. Paris 349 (2011), p. 29-33.   pdf

• Deformation of proper actions on reductive homogeneous spaces,

  Math. Ann. 353 (2012), p. 599-632.   pdf

• Quotients compacts des groupes ultramétriques de rang un,

  Ann. Inst. Fourier 60 (2010), p. 1741-1786.   pdf

• Proper actions on corank-one reductive homogeneous spaces,

  J. Lie Theory 18 (2008), p. 961-978.   pdf

• Habilitation thesis, defended on 18 November 2016:

  Géométrie d'actions de groupes discrets.

• PhD thesis, under the supervision of Yves Benoist, defended on 25 November 2009:

  Compact quotients of real or p-adic homogeneous spaces.   pdf

Events organized

• Workshop Homogeneous dynamics and Anosov representations, 20-24 April 2026 at SLMath (ex-MSRI), Berkeley (California)
• Conference "Arithmetic and Diophantine geometry, via ergodic theory and o-minimality" in honor of Emmanuel Ullmo, 8-12 September 2025 at the IHES (France)
• Workshop: 20 years of Anosov representations, 9-11 October 2024 at the MPI MiS, Leipzig (Germany)
• 2nd meeting of the ANR project GALS, 10-12 January 2024 at the IHES (France)
• Workshop Homogeneous dynamics and geometry in higher rank Lie groups, 19-23 June 2023 at the IHES (France)
• Conference Geometry, groups and dynamics in honor of François Labourie, 24-28 May 2021   6-10 June 2022 in Cargèse (France)
• Connections Workshop of the program Random and arithmetic structures in topology at the MSRI, 3-4 September 2020 in Berkeley (California)
• Special session Geometry and dynamics of constant curvature spaces during the first France-Brazil conference, 15-19 July 2019 in Rio de Janeiro (Brazil)
• Conference Perspectives on convex projective geometry, 24-28 June 2019 in Sète (France)
• 4th meeting Geometry in action and actions in geometry, 13 June 2019 in Nancy (France)
• Conference Dynamics of group actions in honor of Yves Benoist, 26-31 May 2019 in Cetraro (Italy)
• ANR workshop: Geometric structures, 14-18 January 2019 in Nice (France)
• Fields Medal Symposium in honor of Maryam Mirzakhani at the Fields Institute, 5-9 November 2018 in Toronto (Canada)
• Workshop Representations of surface groups and beyond, 24-26 September 2018 in Lille (France)
• 3rd meeting Geometry in action and actions in geometry, 25 June 2018 in Nancy (France)
• Conference Pseudo-Riemannian geometry and Anosov representations, 11-14 June 2018 in Luxembourg
• CfW Workshop of the program Dynamics on moduli spaces of geometric structures at the MSRI, 15-16 January 2015 in Berkeley (California)
• Workshop on Geometric and Dynamical Aspects of Discrete Groups, 4-6 September 2013 in Lille (France)
• AIM Workshop on The Lipschitz metric on Teichmüller space, 22-26 October 2012 in Palo Alto (California)

• Summer school: Discrete subgroups of Lie groups: dynamics, actions, rigidity, 7-18 July 2025 at the IHES (France)
• Arbeitsgemeinschaft: Higher rank Teichmüller theory, 9-15 October 2022 at the MFO, Oberwolfach (Germany)
• GDR Platon Workshop for young researchers in geometry and dynamics, 15-17 November 2021 at the CIRM, Luminy (France)
• Workshop Anosov representations for young researchers, 10-16 May 2020   29 August - 3 September 2021 in Aussois (France)
• Summer school Aspects of geometric group theory, 8-19 July 2019 at the IHES (France)
• Winter school Geometric structures, 7-11 January 2019 in Nice (France)
• YGGT III Meeting, 20-24 January 2014 at the CIRM, Luminy (France)
• Junior Retreat of the GEAR Network, 23 July - 10 August 2012 in Urbana-Champaign (Illinois)

• Program Random and arithmetic structures in topology at the MSRI, August-December 2020 in Berkeley (California)

Scientific committees

• Conference Complex hyperbolic geometry and related aspects in honor of Elisha Falbel, 9-13 November 2020   4-8 July 2022 at the CIRM, Luminy (France)
• Conference Geometric and analytic aspects of moduli spaces of Higgs bundles, 8-12 June 2020   7-11 June 2021 in Strasbourg (France)
• Workshop Quasi-isometries and groups: rigidity and classification, 9-14 September 2019 in Ventotene (Italy)
• Workshop Groups, geometry and dynamics (ICM satellite), 23-27 July 2018 in Montevideo (Uruguay)
• 16th Forum des jeunes mathématicien-ne-s, 24-25 November 2016 in Strasbourg (France)
• YGGT I Meeting, 9-13 January 2012 in Będlewo (Poland)

Editorial boards