Jean-Christophe Yoccoz
Template:Short description Template:Use dmy dates Script error: No such module "Template wrapper".Script error: No such module "Check for clobbered parameters". Template:Sister project Jean-Christophe Yoccoz (29 May 1957 – 3 September 2016) was a French mathematician. He was awarded a Fields Medal in 1994, for his work on dynamical systems.[1][2]
Biography
Yoccoz attended the Lycée Louis-le-Grand,[3] during which time he was a silver medalist at the 1973 International Mathematical Olympiad and a gold medalist in 1974.[4][5] He entered the École Normale Supérieure in 1975, and completed an agrégation in mathematics in 1977.[6]
After completing military service in Brazil, he completed his PhD under Michael Herman in 1985 at Centre de mathématiques Laurent-Schwartz, which is a research unit jointly operated by the French National Center for Scientific Research (CNRS) and École Polytechnique.[6][7][8]
He took up a position at the University of Paris-Sud in 1987, and became a professor at the Collège de France in 1997, where he remained until his death.[2] He was a member of Bourbaki.[9]
Yoccoz won the Salem Prize in 1988. He was an invited speaker at the International Congress of Mathematicians in 1990 at Kyoto,[10] and was awarded the Fields Medal at the International Congress of Mathematicians in 1994 in Zürich.[11][10] He joined the French Academy of Sciences and Brazilian Academy of Sciences in 1994, became a chevalier in the French Legion of Honor in 1995, and was awarded the Grand Cross of the Brazilian National Order of Scientific Merit in 1998.[5]
Mathematical work
Yoccoz's worked on the theory of dynamical systems. His contributions include advances to KAM theory, and the introduction of the method of Yoccoz puzzles, a combinatorial technique which proved useful to the study of Julia sets.[5]
Notable publications
- Yoccoz, J.-C. Conjugaison différentiable des difféomorphismes du cercle dont le nombre de rotation vérifie une condition diophantienne. Ann. Sci. École Norm. Sup. (4) 17 (1984), no. 3, 333–359. doi:10.24033/asens.1475
- Yoccoz, Jean-Christophe. Théorème de Siegel, nombres de Bruno et polynômes quadratiques. Petits diviseurs en dimension 1. Astérisque No. 231 (1995), 3–88. Template:Mr
References
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- 1957 births
- 2016 deaths
- 20th-century French mathematicians
- 21st-century French mathematicians
- Fields Medalists
- Scientists from Paris
- Academic staff of Paris-Sud University
- École Normale Supérieure alumni
- Members of the Brazilian Academy of Sciences
- Recipients of the Great Cross of the National Order of Scientific Merit (Brazil)
- Lycée Louis-le-Grand alumni
- Members of the French Academy of Sciences
- International Mathematical Olympiad participants
- Dynamical systems theorists
- Nicolas Bourbaki
- Academic staff of the Collège de France
- Knights of the Legion of Honour