John Roe (mathematician)
John Roe (born October 6, 1959 , † March 9, 2018 in State College (Pennsylvania) ) was a British mathematician .
Roe grew up in the Shropshire countryside . He went to rugby school , studied at Cambridge University and received his doctorate in 1985 with Michael Atiyah at Oxford University ( Analysis on manifolds ). As a post-doctoral student he was at the Mathematical Sciences Research Institute (MSRI) in Berkeley and then a tutor at Jesus College in Oxford. Since 1998 he has been a professor at Pennsylvania State University .
Since his dissertation he has dealt with index theory (in the context of the Atiyah-Singer index rate and its generalizations). He dealt with Coarse Geometry (literally coarse geometry ), which, clearly expressed, considers metric spaces up to equivalence "when viewed from a great distance". He is also concerned with extending the definition of the index from elliptic operators to non-compact manifolds (where the index no longer has to be an integer, but rather an element of an index group within the framework of the K-theory of operator algebras) and the corresponding generalization of the Atiyah-Singer index theorem. He pursued applications of this theory to the Novikov conjecture in differential topology and deals with non-commutative geometry (in the sense of Alain Connes ) and was co-editor of the Journal of Noncommutative Geometry.
In 1996 he received the Whitehead Prize . He was a fellow of the American Mathematical Society .
He had been married to Liane Stevens Roe since 1986 and had two children. Roe was a passionate mountaineer, which he had to give up after suffering from cancer .
Fonts
- Elementary Geometry, Oxford University Press 1993
- Coarse cohomology and index theory on complete Riemannian manifolds, American Mathematical Society 1993
- Editor: Index theory, coarse geometry and topology of manifolds, American Mathematical Society 1996
- with Nigel Higson : Analytic K-homology, Oxford University Press 2000
- with Nigel Higson (editor): Surveys in noncommutative geometry, American Mathematical Society 2006 (Clay Math. Inst. Symp.)
- Elliptic operators, topology, and asymptotic methods, Wiley 1988
- Lectures on coarse geometry, American Mathematical Society 2003
- with Nigel Higson: Amenable group actions and the Novikov conjecture. J. Reine Angew. Math. 519: 143-153 (2000).
Web links
Individual evidence
| personal data | |
|---|---|
| SURNAME | Roe, John |
| ALTERNATIVE NAMES | Roe, John Alan |
| BRIEF DESCRIPTION | British mathematician |
| DATE OF BIRTH | October 6, 1959 |
| DATE OF DEATH | March 9, 2018 |
| Place of death | State College (Pennsylvania) |