James Eells

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James Eells (born October 25, 1926 in Cleveland , † February 14, 2007 in Cambridge ) was an American mathematician who dealt with analysis .

James Eells (left) and Nicolaas Kuiper (right) at the 1979 Chern Symposium in Berkeley

Live and act

Eells studied mathematics at Bowdoin College in Maine and graduated in 1947. He was then a year of mathematics teacher at Robert College in Istanbul and from 1948 instructor at Amherst College in Amherst (Massachusetts). He then studied at Harvard , where he received his doctorate from Hassler Whitney in 1954 ( Geometric Aspects of Integration Theory ). In 1955/6 he was at the Institute for Advanced Study (and later in 1962/3, 1972/3 and 1977). He then went to Columbia University , where he became a professor in 1964. In 1966/7 he was in Cambridge (as in 1963) and after a visit to the Mathematics Department of the University of Warwick established by Erik Christopher Zeeman , he became Professor of Analysis there in 1969. He organized several of the Warwick symposia there. In 1986 he was also the first director of the mathematics department of the International Center for Theoretical Physics in Trieste (a foundation by Abdus Salam which is particularly dedicated to promoting young mathematicians and physicists from developing countries). In 1992 he retired and lived in Cambridge.

Eells dealt with global analysis, especially with harmonic mappings of Riemannian manifolds, which z. B. In the theory of minimal areas and mathematical physics are important. With Clifford Earle he investigated from 1967 the diffeomorphism groups of compact surfaces and their homotopy types with connections to the Teichmüller theory.

In 1970 he was invited speaker at the International Congress of Mathematicians in Nice ( On Fredholm manifolds with KD Elworthy).

He had been married since 1950 and had four children. He was co-editor of Hassler Whitney's Collected Works.

Fonts

  • A setting for global analysis , Bulletin AMS, Vol. 62, 1966, pp. 751-807
  • with JH Sampson, "Harmonic Mappings of Riemannian Manifolds," American Journal of Mathematics, Vol. 86, 1964, pp. 109-160
  • with Luc Lemaire: A report on harmonic maps , Bulletin London Mathematical Society, Vol. 10, 1978, pp. 1-68, with another follow-up report republished as Harmonic Maps and Two reports on harmonic maps , World Scientific 1992, 1994
  • with Luc Lemaire: Selected topics in harmonic maps , AMS 1983
  • with Andrea Ratto: Harmonic maps and minimal immersions with symmetries - methods of ordinary differential equations applied to elliptic variational problems , Princeton University Press 1993
  • with B. Fuglede: Harmonic maps between Riemannian polyhedra, Cambridge University Press 2001
  • Singularities of smooth maps , London, Nelson 1967

See also

Web links

personal data
SURNAME Eells, James
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH October 25, 1926
PLACE OF BIRTH Cleveland , Ohio
DATE OF DEATH February 14, 2007
Place of death Cambridge , England