Paul Baum (mathematician)

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

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

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

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

He is known for tree - Connes conjecture, the result of a collaboration with Alain Connes in the 1980s

He has been married since 1961 and has two children.