Jack Morava
This article includes a improve this article by introducing more precise citations. (February 2021) ) |
Jack Morava | |
---|---|
Born | 6 August 1944 |
Alma mater | Rice University |
Scientific career | |
Fields | algebraic topology |
Institutions | Johns Hopkins University Institute for Advanced Study University of Oxford |
Jack Johnson Morava is an American homotopy theorist at Johns Hopkins University.
Education
Of
Rio Grande valley. An early interest in topology was strongly encouraged by his parents. He enrolled at Rice University in 1962 as a physics major, but (with the help of Jim Douglas) entered the graduate mathematics program in 1964. His advisor Eldon Dyer arranged, with the support of Michael Atiyah, a one-year fellowship at the University of Oxford, followed by a year in Princeton at the Institute for Advanced Study
.
Work
Morava brought ideas from
nilpotence conjecture), it is natural to think of these cohomology theories as the geometric points associated to the prime ideals of the stable homotopy category. Their groups of multiplicative automorphisms are essentially the units in certain p-adic division algebras, and thus have deep connections to local class field theory
.
He joined the Johns Hopkins University faculty in 1979, and was involved in organizing the Japan-US Mathematics Institute there. Much of his later work involves the application of cobordism categories to mathematical physics, as well as Tannakian descent theory in homotopy categories (posted mostly on the ArXiv). From roughly 2006 to 2010 he was active in DARPA's fundamental questions of biology [1] initiative.
Personal life
In 1970 he and the linguistic anthropologist
Yuri I. Manin
, and Novikov.
See also
References
- Michael J. Hopkins, Global methods in homotopy theory, in Homotopy theory (Durham, 1985), 73–96, London Math. Soc. Lecture Note Ser., 117, Cambridge Univ. Press, Cambridge, 1987
- Urs Würgler, Morava K-theories: a survey; in Algebraic topology Poznan 1989, 111–138, Lecture Notes in Math., 1474, Springer, Berlin, 1991
- Mark Hovey, Neil P. Strickland, Morava K-theories and localisation. Mem. Amer. Math. Soc. 139 (666) 1999
- Paul Goerss, (Pre-)sheaves of ring spectra over the moduli stack of formal group laws. Axiomatic, enriched and motivic homotopy theory, 101–131, NATO Sci. Ser. II Math. Phys. Chem., 131, Kluwer Acad. Publ., Dordrecht, 2004
- Mark Behrens, Tyler Lawson, Topological automorphic forms. Mem. Amer. Math. Soc. 204 (958), 2010
External links
- Jack Morava at the Mathematics Genealogy Project
- home page for Jack Morava