Peter Landweber

Steven Peter Landweber ( born August 17, 1940 in Washington, DC) is an American mathematician who is engaged in algebraic topology.

Country Weber studied at the University of Iowa (Bachelor 1960) and Harvard University ( master's degree, 1961), where he received his doctorate in 1965 at Raoul Bott ( Kuenneth Formulas for Bordism Theories ). He was then an assistant professor at the University of Virginia ( from 1965 onwards ) and from 1968 to 1970 at Yale University. 1967/68 he was at the Institute for Advanced Study. He went in 1970 as an associate professor at Rutgers University, where he was a professor since 1974. 1974/75 he was a NATO Fellow at the University of Cambridge. Since 2007 he has been Professor Emeritus at Rutgers University.

Landweber dealt in particular with complex Bordismentheorie (including Landweber - Novikov algebra in the 1960s ). In the early 1970s he proved his Exact Functor Theorem, which allowed the construction of a homology theory of a formal group law. In 1986, he led with Douglas C. Ravenel, and Robert E. Stong elliptic cohomology one, a generalized cohomology theory with modular forms and elliptic curves.

1989 to 1992 he was chairman of the Russian Translation Committee of the American Mathematical Society, whose fellow he is.

He has been married since 1964 and has two children.

Writings

• (Ed.): Elliptic curves and modular forms in Algebraic Topology ( = Lecture notes in Mathematics Volume 1326. ). Springer, 1988 ( Proceedings of a conference at the Institute for Advanced Study, 1986). In this: Landweber: Elliptic cohomology and modular forms. Pp. 55-86; Elliptic genera - an introductory overview. Pp. 1-10.