Albrecht Dold

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Albrecht Egon Dold (born August 5, 1928 in Nussbach (near Triberg in the Black Forest); † September 26, 2011 in Neckargemünd ) was a German mathematician . He is considered a pioneer of algebraic topology. His work as co-editor of the Lecture Notes in Mathematics gave him a broad overview of the development of almost all areas of modern mathematics.

Life

The son of a watchmaker was called up as a flak helper in January 1944 (he served until March 1945) and lost his father, who was a watchmaker and businessman, in November 1945 to the consequences of the war. Nevertheless he managed to get a place at the Ruprecht-Karls-Universität Heidelberg , where he studied mathematics from 1948, graduated in 1952 and in 1954 with Herbert Seifert as a Dr. rer. nat. doctorate was ( over fiber as homotopy fiber spaces. Mathematical Journal vol. 62, 1955, p 111). 1954 to 1956 he was an assistant at the Mathematical Institute in Heidelberg. From 1956 to 1958 he was assistant to Hassler Whitney at the Institute for Advanced Study in Princeton, New Jersey . In 1958 he completed his habilitation in Heidelberg with the thesis Homology of symmetrical products and other functors of complexes . In 1960 he was initially an assistant professor and from 1961 an associate professor at New York's Columbia University , he received full professorships in 1962 at the University of Zurich and from 1963 at the University of Heidelberg, where he was professor of pure mathematics until his retirement in 1996. In 1970/71 he was dean of the mathematics faculty.

He was visiting fellows for more than a month at the University of Amsterdam, Warwick University (Coventry), Harvard (Cambridge), University of Washington (Seattle), University of British Columbia (Vancouver), IHES (Paris), University of Geneva , ETH Zurich, University of Osaka, PUC Rio de Janeiro, USP Sao Paulo, University of Mexico, Politecnico Mexico, Academia Sinica (Taiwan), Nankai University (Tianjin), Macquarie University (Sydney), University of Minnesota (Minneapolis), University of Chicago, University of Wisconsin (Madison), University of California (Los Angeles), University of Milan, University of Rome, University of Calabria (Cosenza), University of Lecce, Hebrew University (Jerusalem). From 1966 to 1985 he was an advisory board member at the Mathematical Research Institute in Oberwolfach.

He had been married to the mathematician Yvonne Dold-Samplonius since 1965 . The marriage remained childless.

Act

Albrecht Dold mainly dealt with algebraic topology and homological algebra . He wrote a widely used textbook on algebraic topology for Springer-Verlag, where he was also co-editor of the Lecture Notes in Mathematics . Among other things, he worked on René Thom's cobordism theory . His work on fixed point theorems has applications in economics, among others. The Dold and Dold-Thom movements come from him .

From 1984 to 1985 he was President of the German Mathematicians Association . From 1995 to 1998 he was Vice President of the International Mathematical Union . He was secretary of the mathematics and natural science class of the Heidelberg Academy of Sciences from 1991 to 1994 and then until 1999 the secretary's deputy.

From 1964 to 2001 he was one of the editors of the Lecture Notes in Mathematics published by Springer Verlag. Together with Beno Eckmann (1964–1994) and Floris Takens (1994–2000) he was responsible for 1750 editions of the lecture notes. From 1968 to 1982 he was co-editor of the results of mathematics and its border areas at Springer and 1969 to 1993 of Manuscripta Mathematica , 1977 to 2004 of the Bulletin des Sciences Matheématiques, 1978 to 1992 of the Rendicondi di Matematica Roma, 1990 to 2001 of the Journal of Pure and Applied Algebra and since 2007 of the Journal of Fixed Point Theory and Applications.

His doctoral students include Eberhard Freitag , Volkeruppe and Carl-Friedrich Bödigheimer.

Awards and honors

Fonts

literature

  • Willi Jäger: Albrecht Dold (5.8.1928 - 26.9.2011). In: Yearbook of the Heidelberg Academy of Sciences for 2011. Heidelberg 2012, pp. 221–223 ( online ).
  • Dold, Albrecht. In: Dagmar Drüll: Heidelberger Gelehrtenlexikon 1933–1986. Springer, Berlin 2009, ISBN 978-3-540-88834-5 , p. 166 f. ( online )

Web links

Individual evidence

  1. ↑ a b German Academy of Sciences Leopoldina : Yearbook 2011. (PDF; 20.1MB) Retrieved on May 11, 2017 (here p. 194).
  2. ↑ quoted from the obituary of the European Association of Mathematicians
  3. ↑ a b Volker ter Meulen , Werner Ballmann : Albrecht Dold: Laudation for the 80th birthday . In: Yearbook 2008 . German Academy of Sciences Leopoldina . Series 3, Volume 54, 2009, ISBN 978-3-8047-2753-3 , pp. 173-174 .
  4. ↑ Career data according to Willi Jäger, obituary for Albrecht Dold in the yearbook of the Heidelberg Academy of Sciences for 2011 and the entry in Dagmar Drüll, Heidelberger Gelehrtenlexikon.
  5. ↑ Dold, Albrecht. In: Dagmar Drüll: Heidelberger Gelehrtenlexikon 1933–1986. Berlin 2009, p. 166 f.
  6. ^ The IMU Executive Committee (1995-1998). (No longer available online.) International Mathematical Union , formerly the original ; accessed on May 11, 2017 .  ( Page no longer available , search in web archives )  Info: The link was automatically marked as defective. Please check the link according to the instructions and then remove this notice.@1@ 2Template: Dead Link / imuweb.mathunion.org  
  7. ^ Albrecht Dold: Partitions of unity in the theory of fibrations. In: Proceedings of the International Congress of Mathematicians 1962, pp. 459-461 ( online ). See also pages X and XII.
  8. ^ The mathematicians of the Heidelberg Academy of Sciences
personal data
SURNAME Dold, Albrecht
ALTERNATIVE NAMES Dold, Albrecht Egon (maiden name)
BRIEF DESCRIPTION German mathematician
DATE OF BIRTH August 5, 1928
PLACE OF BIRTH Nussbach
DATE OF DEATH September 26, 2011
Place of death Neckargemünd