Nigel Higson
Nigel David Higson (* 1963 ) is a Canadian mathematician who studies operator algebras, algebraic K-theory and non-commutative geometry.
Higson received his PhD in 1985 from Dalhousie University in Halifax with Peter Fillmore ( Algebraic K-theory of stable C * -Algebras ). He was then assistant professor at the University of Pennsylvania for three years and went to Pennsylvania State University in 1989 , where he is a professor.
Higson initially dealt with K-theory in operator algebras within the framework of the bivariate K-theory ( KK-theory ) by Gennadi Kasparow . With Alain Connes he developed a simplification and further development of this theory (theory of asymptotic morphisms , E-theory) and dealt with the Baum-Connes conjecture , which bridges the gap from the K-theory of operator algebras to applications in differential topology, Riemannian geometry and representation theory beats. Together with Connes and Baum, he played a key role in the formulation of the conjecture today and, in collaboration with Kasparov, proved some special cases of the conjecture.
It also deals with generalizations of the Atiyah-Singer index rate .
In 1998 he was invited speaker at the International Congress of Mathematicians in Berlin ( The Baum-Connes conjecture ).
In 1996 he received the Coxeter James Prize , in 1995 the Halperin Prize (of the Canadian Operator Symposium) and in 1995 the André Aisenstadt Prize . In 1994 he gave a plenary talk at the Canadian Mathematical Society meeting. He is a fellow of the American Mathematical Society . In 1992 he became a Sloan Research Fellow .
He is married to professor Yvonne Gaudelius and has a daughter.
Fonts
- with John Roe Analytic K-Homology , Oxford University Press 2000
- as editor with John Roe Surveys in Noncommutative Geometry , American Mathematical Society / Clay Mathematics Institute 2006
- with Erik Guentner, Jody Trout Equivariant E-theory for C * -algebras , American Mathematical Society 2000
Web links
Individual evidence
| personal data | |
|---|---|
| SURNAME | Higson, Nigel |
| ALTERNATIVE NAMES | Higson, Nigel David |
| BRIEF DESCRIPTION | Canadian mathematician |
| DATE OF BIRTH | 1963 |