Paul Frank Baum

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Paul Frank Baum (left) with Alain Connes in Oberwolfach 2004

Paul Frank Baum (born July 20, 1936 in New York City ) is an American mathematician .

Baum studied at Harvard University with a bachelor's degree in 1958 ( summa cum laude ) and at Princeton University with a master's degree in 1961 and a doctorate with John Coleman Moore and Norman Steenrod in 1963 ( Cohomology of homogeneous spaces ). As a post-doctoral student he was at the Universities of Cambridge and Oxford in England and at the Institute for Advanced Study (IAS) in 1964/65 (and also in 1976/77 and 2004). In 1965 he became an assistant professor at Princeton and an associate professor in 1967 and a professor at Brown University in 1971 . From 1987 he was a professor at Pennsylvania State University .

He was several times at IHES and MSRI and in 2012 Courant visiting professor at the University of Göttingen . In 2012 he received an honorary doctorate from the Australian National University and in 2011 from the University of Colorado . In 2012 he became a Fellow of the American Mathematical Society .

He deals with K-theory of operator algebras , non-commutative geometry , topology of Lie groups , scrolling (partly with Raoul Bott ), K-homology , index theory for non-elliptic operators (with Erik van Erp 2010), representation theory of reductive p-adic Groups and the local Langlands conjecture .

He is best known for the Baum-Connes conjecture , which arose from working with Alain Connes in the 1980s.

He has been married since 1961 and has two children.

Web links

Fonts (selection)

  • with Bott : Singularities of holomorphic foliations. J. Differential Geometry, 7: 279-342 (1972).
  • with Fulton , MacPherson : Riemann-Roch for singular varieties. Inst. Hautes Études Sci. Publ. Math. No. 45: 101-145 (1975).
  • with Douglas : K homology and index theory. Operator algebras and applications, Part I (Kingston, Ont., 1980), pp. 117-173, Proc. Sympos. Pure Math., 38, Amer. Math. Soc., Providence, RI, 1982.
  • with Connes : Geometric K-theory for Lie groups and foliations. Enseign. Math. (2) 46 (2000), no. 1-2, 3-42.
  • with Higson , Schick : On the equivalence of geometric and analytic K-homology. Pure Appl. Math. Q. 3 (2007), no. 1, part 3, 1-24.
  • with Connes, Higson: Classifying space for proper actions and K-theory of group C ∗ -algebras. C * algebras: 1943-1993 (San Antonio, TX, 1993), 240-291, Contemp. Math., 167, Amer. Math. Soc., Providence, RI, 1994.

Individual evidence

  1. ↑ Life data according to American Men and Women of Science , Thomson Gale 2004
  2. ^ Mathematics Genealogy Project . Published in Bulletin AMS, Volume 69, 1963, pp. 531-533
  3. ^ Higson on the Baum-Connes conjecture, Documenta Mathematica 1998
  4. ↑ Around 1982 by Baum and Connes. Finalized in Baum, Alain Connes, Nigel Higson Classifying space for proper actions and K-theory of group C * algebras , in R. Doran (Ed.) C * -Algebras: 1943-1993 A Fifty Year Celebration , Contemporary Mathematics , Volume 167, American Mathematical Society, 1994, pp. 241-291
personal data
SURNAME Baum, Paul Frank
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH July 20, 1936
PLACE OF BIRTH New York City