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PEVZNER, Michael Born on June 9, 1971 Professor Department of Mathematics, University of Reims, Campus du Moulin de la Housse, F-51687, Reims.
E-mail : pevzner@univ-reims.fr

Education Dec. 2005 Juin 1998 1989-1994 Habilitation (HDR) « Representations of conformal Lie groups and Quantization of symmetric spaces ». University of Reims. Reporters: A. Alekseev, T. Kobayashi, B. ürsted. Ph. D. Thesis « Conformal analysis on Jordan algebras ». University of Paris 6. Thesis advisor: Jacques Faraut, Committee: M.Vergne, J. Hilgert, B.ürsted, H.Rubenthaler. Master Degree from the Moscow State University (Lomonossov), Scientific advisor: Alexandre Kirillov.

DÈroulement de carriÕre : Sept. 09-Feb. 10 Sept. 07-Jan. 08 Depuis Sept. 06 Sept. ­ DÈc. 05 2003-2006 2002-2003 2000-2002 Sept ­ Oct. 2001 1999-2000 1998-1999 1996-1998 Research fields : Non-commutative harmonic analysis, representation theory, quantization of symmetric spaces, Lie groups, Jordan algebra. CNRS Researcher (DÈlÈgation) at UMI 2615 J.-V. Poncelet, Moscow. Invited Professor, Tokyo university (JSPS Grant). Professor (2 cl), UniversitÈ of Reims. Invited researcher, Institute for Math. Physics E. SchrÆdinger, Vienna. MaÍtre de confÈrence (associate professor), University of Reims. Post-doctoral fellow, Ecole Normale SupÈrieure de Paris. M. Curie grant. Post-doctoral fellow, Brussels University. General member, Mathematical Sciences Research Institute MSRI, Berkeley. Post-doctoral fellow, Leyden university. Post-doctoral fellow, Padova university. ATER (lecturer) university of Paris 10.


Publications : Articles : 1. Geometric analysis on small representations of GL(N, R), (with T. Kobayashi, B. ürsted) submitted to J. Funct. Anal., (2009). 2. Generalized Bernstein-Reznikov integrals, (with J.-L. Clerc, T. Kobayashi, B. ürsted) submitted to Math. Annalen (2009). E-print: arXiv:0906.2874. 3. Composition formulas in the Weyl calculus (with T. Kobayashi, B. ürsted, A. Unterberger), J. Funct. Anal. 257, (2009), pp. 948-991. 4. Covariant quantization: symbolic calculus versus deformation quantization. Japan. J. Math. 3. (2008), pp. 247-290. 5. Rankin-Cohen brackets and associativity. Lett. Math. Physics, 85, (2008), pp. 195­ 202. 6. H*-algebras and quantization of para-Hermitian spaces, (with G. van Dijk) Proc. Amer. Math. Soc. 136, (2008), pp. 2253-2260. 7. Projective pseudo-differential analysis and harmonic analysis, (with A. Unterberger), J.Funct. Anal. 242, (2007), pp. 442--485. 8. Ring structures for holomorphic discrete series and Rankin-Cohen brackets, (with G. van Dijk), J. Lie Theory, 17, (2007), pp. 283-305. 9. Berezin kernels and analysis on Makarevich spaces (with J.Faraut), Indag. Mathem., (N.S.) 16, (2005), no. 3-4, pp. 461-­486. 10. Berezin kernels and maximal degenerate representations associated with Riemannian symmetric spaces of Hermitian type. J. Math. Sci., 126, (2005) pp. 1046-1052. 11. Isomorphisme de Duflo et la cohomologie tangentielle (with Ch.Torossian), J. Geom. Phys. 51, (2004), pp. 487--506. 12. Invariant Hilbert subspaces of the oscillator representation (with G. van Dijk, S. Aparicio) Indag. Math. (N.S.) 14, (2003), pp. 309­318. 13. 1 Star-representations and invariant quantization of the upper half-plane, (with P.Bieliavsky) Non commutative harmonic analysis, Progress in Mathematics, Vol.220, (2003), Birkhauser. 14. Symmetric spaces and star-representations, (with P.Bieliavsky) J. Geom. Phys., 41 (2002), pp.224-234. 15. Matrix-valued Berezin Kernels (with G. van Dijk), Geometry and analysis on Lie groups Banach Center Publications, vol. 55, Warszawa (2002), pp. 269­288. 16. Berezin kernels and maximal degenerate representations associated with Riemannian symmetric spaces of Hermitian type. J. Math. Sci., New York 126, (2002), pp. 10461052. 17. Berezin Kernels on Tube domains, (with G. van Dijk) J. Funct. Anal. 181, (2001), pp. 189-209. 18. Analyse conforme sur les algÕbres de Jordan. J. Aust. Math. Soc. 73 (2002), pp. 279­299. 19. ReprÈsentation de Weil associÈe Þ une reprÈsentation d'algÕbre de Jordan, C.R. Acad. Sci. Paris, t.328, (1999), pp. 463-468. 20. Espace de Bergman d'un semi-groupe complexe, C. R. Acad. Sci. Paris, t.322, (1996), pp.635-640. Reports : 1. Hilbert algebras and symmetric spaces. Proceedings of 2007 Symposium on Representation theory, Edt. N. Shimeno, Okayama University, 2007, Okayama. 2. Kontsevich Quantization and Duflo Isomorphism, dans Quantization and Analysis on symmetric spaces, Proceedings of SchrÆdinger Institute, Editor H. Upmeier, 2005. 3. Berezin Transform and Quantization, Annual Report of Leiden University, 2001.