Kuo-Tsai Chen

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Kuo-Tsai Chen ( Chinese 陳 國 才 ; * 1923 in Zhejiang ; † 1987 ) was a Chinese-American mathematician.

Life

Chen received his doctorate in 1950 from Columbia University with Samuel Eilenberg ( integration in free groups ). He was a professor at the University of Illinois at Urbana-Champaign .

In 1960/61, 1962, 1971 and 1979 he was at the Institute for Advanced Study .

Chen initially dealt with group theory in the topology of three-dimensional spheres and then with formal differential equations . He is best known for his theory of iterated integrals and power series in connection with the cohomology of loop spaces. His aim was to investigate the connections between topology and analysis via path integrals .

Fonts

  • Iterated Path Integrals, Bulletin AMS, Vol. 83, 1977, pp. 831-879, online
  • Formal differential equations, Annals of Mathematics, Volume 73, 1961, pp. 110-133
  • Integration of paths, geometric invariants and a generalized Baker-Hausdorff-Formula, Annals of Mathematics, Volume 65, 1957, pp. 163-178
  • Iterated path integrals and generalized paths, Bulletin AMS, Volume 73, 1967, pp. 935-938
  • Iterated Integrals of Differential Forms and Loop Space Homology, Annals of Mathematics, Volume 97, 1973, pp. 1033-1035
  • Integration of paths, a faithful representation of paths by noncommutative formal power series, Transactions AMS, Volume 89, 1958, pp. 395-407
  • Algebras of iterated paths and fundamental groups, Transactions AMS, Volume 156, 1971, pp. 259-379
  • Local diffeomorphisms - A C - realization of formal properties, American J. Math., Volume 87, 1965, pp. 140-157
  • Differential forms and homotopy groups, J. Diff. Geom., Vol. 6, 1971, pp. 231-246
  • Collected Works, edited by Philippe Tondeur , Birkhäuser 2001

Individual evidence

  1. ↑ Date and place of birth according to the IAS 1980 membership book
  2. ^ Mathematics Genealogy Project
personal data
SURNAME Chen, Kuo-Tsai
ALTERNATIVE NAMES Zhen, Guozai
BRIEF DESCRIPTION Chinese-American mathematician
DATE OF BIRTH 1923
PLACE OF BIRTH Zhejiang
DATE OF DEATH 1987