James Eells

James Eells ( born October 25, 1926 in Cleveland, † February 14, 2007 in Cambridge ) was an American mathematician who worked on Analysis.

Life and work

Eells studied at Bowdoin College in Maine Mathematics and made his degree in 1947. After that, he was a year 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 at Hassler Whitney, 1954 ( Geometric Aspects of Integration Theory). 1955/6 he was at the Institute for Advanced Study ( and later 1962/3 1972 /3 and 1977). After that, he was at Columbia University where he was a professor in 1964. 1966/7 he was in Cambridge ( as in 1963 ) and was there after a visit to the built-up by Erik Christopher Zeeman Mathematics Department of the University of Warwick in 1969 Professor of Analysis. He organized several of the local Warwick Symposia. In addition, he was in 1986 the first director of the Mathematics Department of the International Centre for Theoretical Physics in Trieste ( a creation of the Abdus Salam in particular the promotion of young mathematicians and physicists from developing countries prescribes ). In 1992, he retired and lived in Cambridge.

Eells was concerned with global analysis, in particular with harmonic maps of Riemannian manifolds, for example, In the theory of minimal surfaces and mathematical physics are important. With Clifford Earle, he examined from 1967 Diffeomorphismengruppen compact spaces and their homotopy types with links 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 was married in 1950 and had four children. He was co-editor of the Collected Works of Hassler Whitney.

Writings

  • A setting for global analysis, Bulletin AMS, Bd.62, 1966, S.751 -807
  • JH Sampson, " Harmonic mappings of Riemannian manifolds ", American Journal of Mathematics, Bd.86, 1964, p.109 -160
  • With Luc Lemaire: A report on harmonic maps, Bulletin of the London Mathematical Society, Bd.10, 1978, p.1 -68, with a further subsequent report by re-released as Harmonic Maps or Two reports on harmonic maps, World Scientific 1992, 1994
  • With Luc Lemaire: Selected topics in harmonic maps, AMS 1983
  • 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 in between Riemannian polyhedra, Cambridge University Press 2001
  • Singularities of smooth maps, London, Nelson 1967
Mathematical analysis Nicolaas Kuiper Amherst (Massachusetts) Harvard University Bathyscaphe Trieste Name Authority File
427192
de