CV - Université de Rennes 1 - Pages personnelles professionnelles

Camille HORBEZ
Institut de Recherche Mathématique de
Rennes (IRMAR)
263 Avenue du Général Leclerc, Bât. 22
Born on 09/06/1990
35042 Rennes Cedex
French citizenship
Tel. : +33223236632
camille.horbez "at" univ-rennes1.fr
Education
2012-
PhD thesis at the University of Rennes 1, defended on 12/09/2014, advisor:
Vincent Guirardel
Subject:
2011-2012
Random walks on Out(FN ) and automorphism groups of free products
École Normale Supérieure, Paris - Third year
Second year of master in mathematics, Université Paris XI - Summa cum laude
Master thesis:
Sphere paths in outer space,
advisor: Karen Vogtmann
Aug. - Dec. 2011
Master thesis at Cornell University, Ithaca, NY, advisor: Karen Vogtmann
2010-2011
École Normale Supérieure, Paris - Second year
2009-2010
Ecole Normale Supérieure, Paris - First year
Licence and Master 1 in mathematics, Université Paris VII - Summa cum laude
First year master thesis:
On the group of outer automorphisms of a free group,
advisor: Frédéric Paulin
Preprints
1.
The Tits alternative for the automorphism group of a free product,
2.
Hyperbolic graphs for free products, and the Gromov boundary of the graph of cyclic splittings,
arXiv:1408.0546 (2014)
arXiv:1408.0544 (2014)
3.
4.
The boundary of the outer space of a free product,
arXiv:1408.0543 (2014)
The horoboundary of outer space, and growth under random products of automorphisms, arXiv:1407.3608
(2014)
5.
Automorphisms of graphs of cyclic splittings of FN
6.
The Poisson boundary of Out(FN ),
7.
Spectral rigidity for primitive elements of FN ,
8.
(with R.D. Wade), arXiv:1406.6711 (2014)
arXiv:1405.7398 (2014)
arXiv:1405.4624 (2014)
A short proof of Handel and Mosher's alternative for subgroups of Out(FN ),
to appear in Groups
Geom. Dyn.
9.
The hyperbolicity of the sphere complex via surgery paths
angew. Math.
1
(with A. Hilion), to appear in J. reine
Published paper
1.
Sphere paths in outer space,
Alg. Geom. Topol.
12(4)(2012), 2493-2517.
Talks at international conferences
Tentative
•
July 2015: Luminy, CIRM, "Impacts of geometric group theory"
•
June 2015: Dubrovnik VIII - Geometric Topology, Geometric Group Theory and Dynamical Systems
Past talks
•
27/10/2014 - 31/10/2014 : Carcassonne, Final meeting of the ANR LAM,
walks on Out(FN ) and subgroups of automorphism groups of free products"
•
06/18/2014:
University of Rennes 1, Conference on "Geometric, dynamical and combinatorial
aspects of innite groups",
•
07/03/2013:
Horoboundary of outer space, and growth under random automorphisms
University of Aix-Marseille, Research programme "The geometry of outer space :
investigated through its analogy with Teichmueller space",
via surgery paths
•
Mini-course: "Random
The hyperbolicity of the sphere complex
06/05/2013: Oberwolfach, Workshop "Geometric structures in group theory",
the sphere complex via surgery paths
•
11/20/2012-11/22/2012: Centre de Recerca Matematica, Barcelona,
of the sphere complex via surgery paths"
The hyperbolicity of
Mini-course "The hyperbolicity
Seminar talks
Tentative
•
03/24/2015: University Paul Sabatier, Toulouse, Geometry and Topology Seminar
•
03/05/2015: University of Nantes, Topology, Geometry and Algebra Seminar
•
02/19/2015: University of Illinois at Urbana-Champaign, Geometry, Groups and Dynamics / GEAR
Seminar
•
02/11/2015: McGill University, Montréal, "Geometric Group Theory" Seminar
•
02/03/2015: Freie Universität Berlin, Research seminar "Geometrie und Topologie"
•
01/27/2015: Universität Wien, Research seminar "Geometry and Analysis on Groups"
•
01/23/2015: University of Aix-Marseille, "Le Teich" Seminar
•
01/19/2015: University of Paris VI, "Algebraic Analysis" Seminar
•
01/08/2015: University of Paris XI, Geometry, Topology and Dynamics Seminar
2
Past seminar talks
•
10/02/2014 :
Grenoble, Fourier Institute, "Geometry and Spectral theory" Seminar,
alternative for the automorphism group of a free product
•
09/23/2014:
University of Geneva, Groups and Geometry Seminar,
space and growth under random automorphisms
•
09/22/2014: University of Strasbourg, GT3 Seminar,
group of a free product
•
•
09/19/2014: University of Montpellier 2, Darboux Seminar,
The Tits alternative for the automor-
05/27/2014: University of Caen, Algebra and Geometry Seminar,
02/12/2014: University of Rennes 1, Geometry Seminar,
•
11/18/2013: University of Rennes 1, Ergodic Theory Seminar,
06/10/2013: Universität Münster, Oberseminar Topologie,
via surgery paths
03/22/2013: University of Aix-Marseille, "Le Teich" Seminar,
11/08/2012:
The horoboundary of Outer space
The hyperbolicity of the sphere complex
plex
•
Horoboundary and random
The hyperbolicity of the sphere complex
•
•
The horoboundary of Outer space
05/23/2014: University of Paris XI, Geometric Group Theory Workshop,
walks on Out(FN )
•
The horoboundary of outer
The Tits alternative for the automorphism
phism group of a free product
•
The Tits
The hyperbolicity of the sphere com-
Max Planck Institute for Mathematics, Bonn, Oberseminar Dierentialgeometrie,
Surgery paths in some Out(Fn )-complexes
•
03/23/2012: University of Aix-Marseille, "Le Teich" Seminar,
of outer space
•
Quasi-geodesics in the sphere model
12/06/2011: Cornell University, Topology and Geometric Group Theory Seminar,
outer space
Sphere paths in
Other talks
•
10/10/2013: University of Rennes 1, Journées Louis Antoine,
nential map
o-minimal structures and the expo-
Conferences attended
Tentative
•
July 2015: "Impacts of geometric group theory", CIRM, Luminy
•
June 2015 : Dubrovnik VIII - Geometric Topology, Geometric Group Theory and Dynamical Systems
3
•
May - June 2015 : Thematic Program on Boundaries and Dynamics, Mini-course and Conference,
Notre Dame (USA)
•
January 2015 : Young Geometric Group Theory IV, Spa (Belgium)
Past conferences
•
June 2014: Conference on "Geometric, dynamical and combinatorial aspects of innite groups",
University of Rennes 1
•
March 2014: Asymptotic properties of groups, IHP, Paris
•
January 2014: Random walks on groups, IHP, Paris
•
January 2014:
•
January 2014: Introductory school for the IHP trimester on random walks and asymptotic geometry
3rd
Young Geometric Group Theory Meeting, CIRM, Luminy
of groups, CIRM, Luminy
•
June-July 2013: Summer school and research program "The geometry of outer space: investigated
through its analogy with Teichmueller space", University of Aix-Marseille
•
June 2013: Workshop "Geometric structures in group theory", Oberwolfach
•
February 2013: Young Geometric Group Theory II, Technion, Haifa
•
November 2012: Conference on Automorphisms of free groups : Algorithms, Geometry and Dynamics, Centre de Recerca Matematica, Barcelona
•
July 2012: Summer school Geometric group theory, Park City Mathematics Institute, Utah
•
June 2012: Summer school and conference Topology and groups, Berlin
•
January-March 2012: Program on Geometry and analysis of surface group representations, IHP,
Paris
•
January 2012: Winter school Introductory Workshop to Geometry and Analysis of Surface Group
Representations, Autrans
•
September 2011: 1072nd meeting of the AMS, Cornell University, Ithaca, Special session on Geometry of Arithmetic Groups
•
June-July 2011: Program on "Geometric and measured group theory", IHP, Paris
•
April 2011: An invitation to von Neumann algebras and ergodic theory of group actions, CIRM,
Luminy
4
Teaching
2013-2015
Exercise sessions at the University of Rennes 1 for the courses:
nd
•
"Linear algebra 2" (2
•
"Geometry in small dimension" (1
•
"Mathematics: analysis" (1
-year math students)
st
st
-year math students)
-year biology students)
June 2013
Participation in training sessions for high school students in Rennes
2009-2011
Participation in training sessions for high school students in Paris
Languages
French (native), English (TOEFL 116), German
5

Download Report