School of Mathematics, Statistics and Physics

Topological Homology

Topological Homology


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.


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

Telephone: +44 (0) 191 208 6479

Professor Mihai Putinar
Professor of Pure Mathematics

Telephone: +44 (0) 191 208 8327

Dr James Waldron
Teaching Fellow

Telephone: 0191 208 7232

Dr Michael White
Senior Lecturer in Pure Mathematics

Telephone: +44 (0) 191 208 7304