Topological Homology
Topological Homology
Overview
Topological homology concerns questions on the structure and properties of Banach and C*-algebras. Mainly it describes their properties from the viewpoint of homological algebra.
We are particularly interested in the cohomological problems that arise in noncommutative geometry, for example, the calculation of cyclic type cohomology of topological algebras. The theory has applications in many branches of mathematics, including spectral theory, the theory of de Rham homology in differential geometry, automatic continuity theory and K-theory.
Staff
The following members of staff from the School of Mathematics and Statistics are members of the Topological Homology research group.
Dr Zinaida Lykova
Reader in Pure Mathematics
Email: zinaida.lykova@ncl.ac.uk
Telephone: +44 (0) 191 208 6479
Professor Mihai Putinar
Professor of Pure Mathematics
Email: mihai.putinar@ncl.ac.uk
Telephone: +44 (0) 191 208 8327
Dr James Waldron
Lecturer
Telephone: 0191 208 7232
Dr Michael White
Senior Lecturer in Pure Mathematics
Email: michael.white@ncl.ac.uk
Telephone: +44 (0) 191 208 7304