Curriculum vitae

Bertrand RÉMY
Professor
Institut Camille Jordan
Université Lyon 1

Membre junior de l'IUF depuis l'automne 2009


Civil status

Date of birth: 02/15/1973 (Nancy, FRANCE).

Married to Séverine; 3 children: Adrien, Louise and Valérien.

Citizenship: French.
 

PhD and habilitation

PhD Thesis, University Nancy 1: Formes presque déployées des groupes de Kac-Moody sur des corps quelconques (09/09/1999). Supervisor: Guy ROUSSEAU.

Habilitation, Institut Fourier - Grenoble 1: Sur les propriétés algébriques et géométriques des groupes de Kac-Moody, December 2003. 


Editorial activity

Editor for the "Annales de l'Institut Fourier".

Proceedings of a Grenoble summer school Non-positively curved geometry, discrete groups and rigidity in the "
Séminaires et Congrès" series (Société Mathématique de France), number 18 (2010), with Laurent Bessières and Anne Parreau.

Works

1. Construction de réseaux en théorie de Kac-Moody. C. R. Acad. Sc. Paris 329 (1999) 475-478. 

2. Immeubles de Kac-Moody hyperboliques. Isomorphismes abstraits entre groupes de même immeuble. Geometriae Dedicata 90 (2002) 29-44. 

3. Groupes de Kac-Moody déployés et presque déployés. Astérisque 277 (2002) Société Mathématique de France, 348 pages.

4. Classical and non-linearity properties of Kac-Moody lattices. In "Rigidity in Dynamics and Geometry" (Newton Institute 2000), M. Burger and A. Iozzi eds, Springer (2002) 391-405. 

5. Kac-Moody groups: split and relative theories. Lattices. In "Groups: Geometric and Combinatorial Aspects" (Bielefeld 1999), Th. Müller ed, London Math. Soc. Lecture Note Series 311 (2004), Cambridge University Press, 487-541. 

6. Topological  simplicity, commensurator superrigidity and non linearity of Kac-Moody groups. Appendix by Patrick Bonvin: Strong boundaries and commensurator superrigidity. Geometric and Functional Analysis 14  (2004) 810-852.

7. Integrability of induction cocycles for Kac-Moody groups. Mathematische Annalen 333 (2005) 29-43.
 

8.
with Nicolas Monod: Boundedly generated groups with pseudocharacter(s). A 3 page appendix to: Quasi-actions on trees and property (QFA), by J. F. Manning, J. London Math. Soc. (2) 73 (2006) 84-108.

9. with Mark Ronan: Topological  groups of Kac-Moody type, right-angled twinnings and their lattices. Commentarii Mathematici Helvetici 81 (2006) 191-219.

10. with P.-E. Caprace: Simplicité abstraite des groupes de Kac-Moody non affines. C. R. Acad. Sc. Paris 342 (2006) 539-544.

11. with Yves Guivarch: Group-theoretic compactification of Bruhat-Tits buildingsAnn. Sci. École Norm. Sup. 39 (2006) 871-920.

12. with U. Baumgartner and George Willis: Flat rank of automorphism groups of buildings. Transf. Groups 12 (2007) 413-436.

13. with U. Baumgartner and J. Ramagge: Contraction groups in complete Kac-Moody groups. Groups, Geometry, and Dynamics 2 (2008) 337–352.

14. with P.-E. Caprace: Simplicity and superrigidity of twin buildings lattices. Inventiones Math 176 (2009) 169-221.

15. with P.-E. Caprace: Groups with a root group datum. Innovations in Incidence Geometry 9 (2009) 5-77.

16. with Peter Abramenko: Commensurators of some non-uniform tree lattices and Moufang twin trees. Ramanujan Math. Soc. Lecture Note Series 9 (2009) 79-104.

17. Kac-Moody groups as discrete groups. Ramanujan Math. Soc. Lecture Note Series 9 (2009) 105-124.

18. Covolume des groupes S-arithmétiques et faux plans projectifs, d'après Mumford, Prasad, Klingler, Yeung, Prasad-Yeung, Séminaire Bourbaki, exposé 984 (novembre 2007), in Astérisque 326 (2010) 83-130, Soc. Math. de France.

19. with A. Thuillier and A. Werner: Bruhat-Tits theory from Berkovich's point of view. I: realizations and compactifications of buildings. Ann. Sci. École Norm. Sup. 43 (2010) 461-554.

20. with P.-E. Caprace: On the distortion of twin building lattices. Geometriae Dedicata 147 (2010) 397-408.

21. with A. Thuillier and A. Werner: Bruhat-Tits theory from Berkovich's point of view. II: Satake compactifications, Preprint # 268 (July 2009), Institut Camille Jordan - Lyon 1, 37 pages, accepted by the J. Inst. Math Jussieu.

22. Groupes algébriques pseudo-réductifs et applications, d’après J. Tits et B. Conrad-O. Gabber-G. Prasad, Séminaire Bourbaki, exposé 1021 (mars 2010), 43 pages.

23. Buildings and Kac-Moody groups, to appear in the proceedings of the conference "Buildings, Finite geometries and Groups" (Bangalore, August 2010), Springer Proceedings in Mathematics series, 17 pages.

24. with A. Thuillier and A. Werner: Bruhat-Tits buildings and analytic geometry. Proceedings of the Paris summer school "Berkovich spaces" (July 2010), 49 pages, submitted.


Grants and stays

SFB 343 - University of Bielefeld: August 15th - 28th 1999.

ETH Zürich: November 14th - 28th 1999.

University College, London: June 25th - July 22nd 2000 (EPSRC grant).

SFB 343 - University of Bielefeld: July 26th - August 2nd 2000.

Postdoctoral stay at Hebrew University, Jerusalem - academic year 2000 - 2001.

ETH Zürich: June 8th - 23rd 2002.

Université Libre de Bruxelles: March 1st - 7th 2003.

University of Bielefeld: June 19th - 24th 2005.

Institute for Advanced Studies, Princeton (short term visitor): November 19th-26th 2005.

Max-Planck-Institut für Mathematik: May 29th-June 9th and July 3rd-7th 2006.

School of mathematical and physical sciences, University of Newcastle (Australia): December 30th 2006 - January 18th 2007.

Mathematics department, Ohio State University: April 2nd-7th 2007.

Mathematical Science Research Institute, Berkeley: October 27th-November 11th 2007.

Mathematics department, University of Michigan (Ann Arbor): April 6th-20th 2008.

Mathematics department, University of Monastir (Tunisia): February 15th-22nd, 2010.