Interests :Buildings and their boundaries. Poisson boundaries and boundary maps. Rigidity. Random walks and CAT(0) spaces.
A Tits alternative for ℝ-buildings of type Ã_2 , with Corentin Le Bars and Jeroen Schillewaert
Preprint arxiv
Normal Subgroup Theorem for groups acting on Ã_2 buildings , with Uri Bader and
Alex Furman.
Accepted to the Journal of the EMS arxiv
Contact Graphs, Boundaries, and a Central Limit Theorem for CAT(0) cubical complexes , with Talia Fernós and
Frédéric Mathéus. Groups, Geometry and Dynamics, Vol. 18 (2024), no. 2, pp. 677–704. doi or arxiv
Strong property (T), weak amenability and $\ell^p$-cohomology in $\tilde{A}_2-buildings, with Mikael de la Salle and Stefan Witzel . Annales scientifiques de l'École normale supérieure, vol. 57 (2024), no. 5, pp.1371-1444. doi or arxiv
Proper proximality in non-positive curvature, with Camille Horbez and Jingyin Huang .
American Journal of Mathematics Vol. 145 (2023), no.5, pp 1327 - 1364 doi or arxiv
Boundary maps and maximal representations on infinite
dimensional Hermitian symmetric spaces,
with
Bruno Duchesne and B. Pozzetti
Ergodic Theory and Dynamical
Systems, to appear.
arxiv doi
Random Walks and Boundaries of CAT(0) Cubical Complexes,
with Talia Fernós
and Frédéric Mathéus
Comment. Math. Helv., Volume 93, Issue 2, 2018, pp.
291–333 arxiv,
doi
On the linearity of lattices in affine buildings and
ergodicity of the singular Cartan flow,
with Uri Bader and
Pierre-Emmanuel Caprace
J. Amer. Math. Soc. 32 (2019), pp. 491-562 arxiv, doi
Almost algebraic actions of Algebraic Groups and
applications to Algebraic Representations,
with Uri Bader and
Bruno Duchesne
Groups, Geometry and Dynamics Volume 11, Issue 2,
2017, pp. 705–738 arxiv,
doi
Geometric density for Invariant Random Subgroups of
groups acting on CAT(0) spaces,
with
Bruno Duchesne,
Yair Glasner and Nir Lazarovich.
Geometriae Dedicata, Vol. 75, Issue 1, pp. 249–256 pdf, arxiv,
doi
Amenable Invariant Random Subgroups,
with Uri Bader and
Bruno Duchesne, with an Appendix by Phillip Wesolek.
Israel Journal of Mathematics, 2016, Volume 213,
Issue 1, pp 399–422 pdf, arxiv,
doi
Furstenberg maps for CAT(0) targets of finite telescopic
dimension,
with Uri Bader and
Bruno Duchesne. Ergodic Theory and Dynamical
Systems, volume 36, issue 06, pp. 1723-1742 pdf, arxiv.
Combinatorial and group-theoretic compactifications of
buildings, with
Pierre-Emmanuel Caprace.
Ann. Inst. Fourier 2011, no.2, pp. 619.–672 pdf, doi
Amenability of actions on the boundary of a building.
Int. Math. Res. Not. 2010 (2010), no.17, pp.
3265–3302. pdf,
doi
This publication gave rise to an Oberwolfach Report: Boundary
amenability of groups acting on buildings.
Oberwolfach Report No. 20/2010, Vol.7, Issue 2
(2010), pp. 1184–1186. pdf , doi.
Hyperbolic Configuration of Roots and Hecke Algebras.
J. of Algebra 323 (2010), no. 5, pp 1454–1467. pdf, doi
Erratum : the proof of theorem 3.5 is wrong. However, it can be
corrected: here is a new version
with a correct proof.
I supervised the PhD thesis of Corentin Le Bars. Corentin defened his PhD in August 2023 and is currently a post-doc at the Weizmann Institute.
Other manuscripts
I defended my "Habilitation à diriger des recherches" in july 2020. It is called Bords et rigidité en courbure négative ou nulle. Here is the file : pdf (in French)
With Jeanne Parmentier and Tony Février, we submitted a communcation entitled "Evaluer pour motiver en cours de mathématiques à l'université" to the QPES 2017 conference (a francophone conference in pedagogy at the university level). This communication is avalaible here (pp. 169--174)
