Jack Morava

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Jack and Ellen Morava near the Burgess Shale in 1971

Jack Johnson Morava (born June 8, 1944 ) is an American mathematician who studies algebraic topology .

Morava received his doctorate in 1968 from Rice University (where he first studied physics from 1962 and switched to mathematics two years later) with S. Eldon Dyer (Algebraic Topology of Fredholm Maps) and Michael Atiyah (at the same time he was at the Institute for Advanced Study in 1967/1968 and 1969 in Oxford with Atiyah). He was a professor at Columbia University , the State University of New York and has been a professor at Johns Hopkins University since 1980 .

In the 1970s he developed the Morava K theory , cohomology theories with applications in the stable homotopy theory , mainly in preprints that were otherwise not published . He also dealt with cobordism theory and with topological theories of gravity.

He has been married to the linguist Ellen Contini-Morava since 1970, with whom he has two children. He spent a year with her in Moscow in 1970, where he was at the Steklow Institute and met Israel Gelfand , Yuri Manin , Sergei Petrovich Novikov , among others .

Web links

Fonts (selection)

  • Noetherian localizations of categories of cobordism comodules. Ann. of Math. (2) 121 (1985) no. 1, 1-39.
  • Forms of K-theory. Math. Z. 201 (1989), no. 3, 401-428.

References

  1. Morava defined such periodic cohomology theories for every prime p. Shown z. B. in Ravenel Complex cobordism and stable homotopy groups of spheres , Academic Press 1986