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Jean-Christophe Yoccoz

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Jean-Christophe Yoccoz
Jean-Christophe Yoccoz in 2005
Born(1957-05-29)29 May 1957
Paris, France
Died3 September 2016(2016-09-03) (aged 59)
Paris, France
EducationLycée Louis-le-Grand
Alma materÉcole normale supérieure
École Polytechnique
Known forDynamical systems
Yoccoz puzzle
AwardsSalem Prize (1988)
Fields Medal (1994)
Scientific career
FieldsMathematics
InstitutionsCentre de mathématiques Laurent-Schwartz
Paris-Sud 11 University
Collège de France
Doctoral advisorMichael Herman
Doctoral studentsSylvain Crovisier [de]
Ricardo Pérez-Marco
Websitewww.college-de-france.fr/site/jean-christophe-yoccoz/Hommage-a-Jean-Christophe-Yoccoz.htm
Wikimedia Commons has media related to Jean-Christophe Yoccoz.

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] Yoccoz died on 3 September 2016 at the age of 59.

Biography

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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

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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

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  • 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

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  1. ^ O'Connor, John J.; Robertson, Edmund F., "Jean-Christophe Yoccoz", MacTutor History of Mathematics Archive, University of St Andrews
  2. ^ a b "Le mathématicien Jean-Christophe Yoccoz est mort". 5 September 2016. Retrieved 6 September 2016.
  3. ^ Administrator. "Des mathématiciens". Retrieved 6 September 2016.
  4. ^ Jean-Christophe Yoccoz's results at International Mathematical Olympiad
  5. ^ a b c "Jean-Christophe Yoccoz † › Heidelberg Laureate Forum". Archived from the original on 11 September 2016. Retrieved 6 September 2016.
  6. ^ a b "Yoccoz biography". Retrieved 6 September 2016.
  7. ^ "Ciência se despede de matemático francês Jean-Christophe Yoccoz". Archived from the original on 19 September 2016. Retrieved 6 September 2016.
  8. ^ Jean-Christophe Yoccoz at the Mathematics Genealogy Project
  9. ^ Mashaal, Maurice (2006), Bourbaki: a secret society of mathematicians, American Mathematical Society, p. 19, ISBN 978-0-8218-3967-6
  10. ^ a b "International Mathematical Union (IMU)". Archived from the original on 8 November 2017. Retrieved 6 September 2016.
  11. ^ "Fields Medals and Nevanlinna Prize 1994". Archived from the original on 29 July 2016. Retrieved 6 September 2016.
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