Jean-Christophe Yoccoz
Jean-Christophe Yoccoz (May 29, 1957 – September 3, 2016) was a French mathematician. He was awarded a Fields Medal in 1994, for his work on dynamical systems.[1][2]
Jean-Christophe Yoccoz | |
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Jean-Christophe Yoccoz | |
Born | Paris, France | May 29, 1957
Died | September 3, 2016 59) (aged |
Nationality | French |
Alma mater | École Normale Supérieure École Polytechnique |
Known for | Dynamical systems Yoccoz puzzle |
Awards | Salem Prize (1988) Fields Medal (1994) |
Scientific career | |
Fields | Mathematics |
Institutions | Centre de mathématiques Laurent-Schwartz Paris-Sud 11 University Collège de France |
Doctoral advisor | Michael Herman |
Doctoral students | Sylvain Crovisier Ricardo Pérez-Marco |
Website | www |
Wikimedia Commons has media related to Jean-Christophe Yoccoz. |
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 Ph.D. 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 Ecole 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. MR1367353
References
- O'Connor, John J.; Robertson, Edmund F., "Jean-Christophe Yoccoz", MacTutor History of Mathematics archive, University of St Andrews.
- "Le mathématicien Jean-Christophe Yoccoz est mort". Retrieved 6 September 2016.
- Administrator. "Des mathématiciens". Retrieved 6 September 2016.
- Jean-Christophe Yoccoz's results at International Mathematical Olympiad
- "Jean-Christophe Yoccoz † › Heidelberg Laureate Forum". Retrieved 6 September 2016.
- "Yoccoz biography". Retrieved 6 September 2016.
- "Ciência se despede de matemático francês Jean-Christophe Yoccoz". Retrieved 6 September 2016.
- Jean-Christophe Yoccoz at the Mathematics Genealogy Project
- Mashaal, Maurice (2006), Bourbaki: a secret society of mathematicians, American Mathematical Society, p. 19, ISBN 978-0-8218-3967-6
- "International Mathematical Union (IMU)". Retrieved 6 September 2016.
- "Fields Medals and Nevanlinna Prize 1994". Retrieved 6 September 2016.