Jean Cerf

Jean Cerf (born in 1928) is a French mathematician, specializing in topology.

Jean Cerf
Born	1928
Nationality	French
Alma mater	École Normale Supérieure
Known for	Cerf theory
Awards	prix Servant (1970)
Scientific career
Fields	Mathematics
Institutions	University of Lille University of Paris XI
Doctoral advisor	Henri Cartan
Doctoral students	François Laudenbach Alain Chenciner Francis Sergeraert

Education and career

Jean Cerf studied at the École Normale Supérieure, graduating in sciences in 1947. After passing his agrégation in mathematics in 1950, he obtained a doctorate with thesis supervised by Henri Cartan. Cerf became a maître de conférences at the University of Lille and was later appointed a professor at the University of Paris XI. He was also a director of research at CNRS.[1]

Cerf's research deals with differential topology, cobordism, and symplectic topology. In 1966 he was an Invited Speaker at the ICM in Moscow.[2] In 1968 Cerf proved that every orientation-preserving diffeomorphism of ${\displaystyle S^{3}}$ is isotopic to the identity.[3] In 1970 Cerf proved the pseudo-isotopy theory for simply connected manifolds. In 1970 he was awarded the prix Servant, together with Bernard Malgrange and André Néron (for independent work). 1971 he was the president of the Société Mathématique de France.

Selected publications

• " Groupes d'automorphismes et groupes de difféomorphismes des variétés compactes de dimension 3." Bull. Soc. Math. France 87 (1959): 319–329.
• "Topologie de certains espaces de plongements." Bull. Soc. Math. France 89, no. 196 (1961): 227–380.
• "Théorèmes de fibration des espaces de plongements. Applications." Séminaire Henri Cartan 15 (1962): 1–13.
• "Travaux de Smale sur la structure des variétés." Seminaire Bourbaki 7 (1962): 113–128.
• "La nullité de Γ₄, généralisation du théorème de Schönflies pour S²." In Sur les difféomorphismes de la sphère de dimension trois (Γ4= O), pp. 1–10. Springer, Berlin, Heidelberg, 1968. doi:10.1007/BFb0060396
• "La stratification naturelle des espaces de fonctions différentiables réelles et le théoreme de la pseudo-isotopie." Publications Mathématiques de l'Institut des Hautes Études Scientifiques 39, no. 1 (1970): 7–170. doi:10.1007/BF02684687

References

1. Cerf, Biographie
2. Cerf, Jean. "Isotopie et pseudo-isotopie." In Proceedings of International Congress of Mathematicians (Moscow), pp. 429-437. 1966.
3. J. Cerf, Sur les difféomorphismes de la sphère de dimension trois (Γ₄=0), Lecture Notes in Mathematics, No. 53. Springer-Verlag, Berlin-New York 1968. (See Cerf theory.)