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
Research themes:
Discrete subgroups of Lie groups, geometry and dynamics
Geometry and Discrete Groups
Seminar at IHES
ERC Starting Grant
DiGGeS
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
Publications Mathématiques de l'IHES
Journal of Lie Theory
Geometriae Dedicata
Annales Mathématiques Blaise Pascal
Journal of Algebra,
special issue
in honor of Jacques Tits (2024)
Astérisque
(2018-2023)
Gazette
of the
SMF
(2016-2020)