Peter Landweber

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

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

Landweber dealt in particular with complex Bordism theory (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 from a formal group law. In 1986 he introduced with Douglas C. Ravenel and Robert E. Stong elliptic cohomology, a generalized cohomology theory with modular shapes and elliptic curves.

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

He has been married since 1964 and has two children.

Fonts

(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). Therein: Landweber: Elliptic cohomology and modular forms. Pp. 55-86; Elliptic genera- an introductory overview. Pp. 1-10.

Web links

Individual evidence

↑ Date of birth and career dates from American Men and Women of Science , Thomson Gale 2004
↑ Rutgers University newsletter on his retirement in 2007 and American Men and Women of Science , loc.cit.
↑ Landweber, Cobordism operations and Hopf algebras, Transactions AMS, Volume 129, 1967, pp. 94-110. Sergei Petrowitsch Novikow The methods of algebraic topology from the viewpoint of cobordism theory , Math. USSR Izvestija, Volume 1, 1967, p. 827
↑ Landweber Homological properties of comodules over MU * (MU) and BP * (BP) , American Journal of Mathematics, Volume 98, 1976, pp. 591-610
↑ Landweber, LN Mathematics 1326, 1988 and Landweber, Ravenel, Stong Periodic cohomology theories defined by elliptic curves , Contemporary Mathematics, Volume 181, 1995 (Cech Centennial, Boston 1993). Also known as the Landweaver-Ravenel-Stong Theory. They used Landweaver's Exact Functor Theorem for this. Ochanine, Springer Online Reference, Elliptic Cohomology

personal data
SURNAME	Weavers, Peter
ALTERNATIVE NAMES	Landweber, Peter Steven (full name)
BRIEF DESCRIPTION	American mathematician
DATE OF BIRTH	17th August 1940
PLACE OF BIRTH	Washington, DC

[1] Date of birth and career dates from American Men and Women of Science , Thomson Gale 2004

[2] Rutgers University newsletter on his retirement in 2007 and American Men and Women of Science , loc.cit.

[3] Landweber, Cobordism operations and Hopf algebras, Transactions AMS, Volume 129, 1967, pp. 94-110. Sergei Petrowitsch Novikow The methods of algebraic topology from the viewpoint of cobordism theory , Math. USSR Izvestija, Volume 1, 1967, p. 827

[4] Landweber Homological properties of comodules over MU * (MU) and BP * (BP) , American Journal of Mathematics, Volume 98, 1976, pp. 591-610

[5] Landweber, LN Mathematics 1326, 1988 and Landweber, Ravenel, Stong Periodic cohomology theories defined by elliptic curves , Contemporary Mathematics, Volume 181, 1995 (Cech Centennial, Boston 1993). Also known as the Landweaver-Ravenel-Stong Theory. They used Landweaver's Exact Functor Theorem for this. Ochanine, Springer Online Reference, Elliptic Cohomology