Juha Heinonen

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Juha Heinonen (born July 23, 1960 in Toivakka ; † October 30, 2007 ) was a Finnish mathematician .

Life

Heinonen grew up as the son of a woodcutter and local politician in a small town in central Finland. He studied mathematics at Jyväskylä University and received his doctorate there in 1987 under Olli Martio. From 1988 he was an assistant professor at the University of Michigan , where he was a visiting student in 1985. In 1992 he became an associate professor and in 2000 a professor. From 2004 to 2007 he was Deputy Head of Graduate Studies for Mathematics. Among other things, he was visiting scholar in Bonn , Barcelona , Novosibirsk , at IHES and at the Mittag-Leffler Institute (1990).

Heinonen was a leading representative from the traditional Finnish school of geometric function theory (with representatives such as Rolf Nevanlinna , Olli Lehto , Lars Ahlfors ), which was represented at the University of Michigan by Frederick Gehring . For example, he dealt with quasi-conformal images and structures. Under the influence of Dennis Sullivan he turned to more abstract questions of analysis and was one of the founders of analysis in metric spaces as an extension of analysis to spaces in which a constant basic structure is not given from the outset. The is Lipschitz continuity and the geometric theory abstract Sobolev space used. He published more than 60 scientific papers and two books.

In 2002 he was invited speaker at the International Congress of Mathematicians in Beijing ( The branch set of a quasireglar mapping ). In 2004 he was admitted to the Finnish Academy of Sciences . In 1992 he became a Sloan Research Fellow .

He had been married to the mathematician Karen Smith since 1991 , with whom he had three children. In Finland he was national champion in cross-country skiing over 5000 m in 1976 . In 2000 he won the US gold medal in orienteering. He died of kidney cancer.

Fonts

  • T. Kilpeläinen, O. Martio Nonlinear potential theory of degenerate elliptic functions , Oxford University Press 1993, Dover 2006
  • Analysis on metric spaces , Springer, Universitext 2001
  • Nonsmooth calculus , Bulletin AMS, Vol. 44, 2007, pp. 163-232, online
  • What is a quasi-conformal mapping? , Notices AMS, 2006, No. 11, pdf

Web links

Individual evidence

  1. Biographical information from obituary at the University of Michigan, see web links. Partly printed in Notices AMS, No. 7, 2008, heading Mathematics People , pdf