Peter Landweber

Peter Steven Landweber (born August 17, 1940 in Washington D. C.)[1] is an American mathematician working in algebraic topology.

Landweber studied at the University of Iowa (B.SC. 1960) and the Harvard University (master's degree 1961), where he graduated in 1965 after studying under Raoul Bott (Künneth formulas for bordism theories). He was then Assistant Professor at the University of Virginia (from 1965) and at Yale University from 1968 to 1970. From 1967 to 1968 he was at the Institute for Advanced Study at Princeton. In 1970, he became Associate Professor at the Rutgers University, where he has been teaching since 1974. From 1974 to 1975 he was a NATO fellow at the University of Cambridge. Since 2007, he is a Professor Emeritus at Rutgers University.[2]

Landweber studied complex bordism in algebraic topology (introducing Landweber–Novikov algebra in the 1960s[3]). In the beginning of the 1970s, he proved his exact functor theorem, which allows the construction of a homology theory from a formal group law.[4] In 1986 he introduced elliptic cohomology with Douglas C. Ravenel and Robert E. Stong, which is a generalized cohomology theory with applications to modular forms and elliptic curves.[5]

From 1989 to 1992 he was Chairman of the Russian translation Committee of the American Mathematical Society. He is also a fellow of the society.[6]

Selected publications

References

  1. ↑ American Men and Women of Science, Thomson Gale 2004
  2. ↑ of the Rutgers University to his retirement in 2007, and American Men and Women of Science]
  3. ↑ Landweber, Cobordism operations and Hopf algebras, Transactions AMS, issue 129, 1967, pg. 94–110. Sergei Petrowitsch Nowikow The methods of algebraic topology from the viewpoint of cobordism theory, Math. USSR Izvestija, issue 1, 1967, pg.827
  4. ↑ Landweber Homological properties of comodules over MU*(MU) and BP*(BP), American Journal of Mathematics, issue 98, 1976, pg. 591–610
  5. ↑ Landweber, LN Mathematics 1326, 1988 and Landweber, Ravenel, Stong Periodic cohomology theories defined by elliptic curves, Contemporary Mathematics, issue 181, 1995 (Cech Centennial, Boston 1993). Known as the Landweber–Ravenel–Stong theory. It uses the exact functor theorem.
  6. ↑ List of Fellows of the American Mathematical Society, retrieved 2013-11-16.
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