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Research project

*CLOSED* Analysis and Geometry of metric spaces with applications in geometric group theory and topology

Staff

Lead researcher

Professor Jacek Brodzki

Head of School

Research interests

  • Topological data analysis
  • Applications of topology to medicine, biology, chemistry, physics, computer science
  • Noncommutative Geometry
Other researchers

Professor Graham Niblo FIMA

Professor

Research interests

  • Geometric group theory
  • Non-commutative geometry
  • Low dimensional topology

Collaborating research institutes, centres and groups

Pure Mathematics

Collaborating around the world to contribute to research in algebra, analysis, geometry and topology.

Research outputs

The periodic cyclic homology of crossed products of finite type algebras
Jacek Brodzki,
Shantanu Dave,
& Victor Nistor
, 2017 , Advances in Mathematics , 306 , 494--523
DOI: 10.1016/j.aim.2016.10.025
Type: article
The local spectrum of the Dirac operator for the universal cover of SL_2(R)
Jacek Brodzki,
Graham A. Niblo,
Roger Plymen,
& Nick Wright
, 2016 , Journal of Functional Analysis , 270 (3) , 957--975
DOI: 10.1016/j.jfa.2015.10.010
Type: article
K-theory and exact sequences of partial translation algebras
Jacek Brodzki,
Graham A. Niblo,
& Nick Wright
, 2015 , Advances in Mathematics , 273 , 287--323
DOI: 10.1016/j.aim.2014.12.023
Type: article
A topological splitting theorem for Poincaré duality groups and high dimensional manifolds
Graham Niblo,
& Aditi Kar
, 2013 , Geometry & Topology , 17 , 2203--2221
DOI: 10.2140/gt.2013.17.2203
Type: article
Uniform local amenability
Jacek Brodzki,
Graham Niblo,
Ján Špakula,
Rufus Willett,
& Nick Wright
, 2013 , Journal of Noncommutative Geometry , 7 (2) , 583--603
DOI: 10.4171/JNCG/128
Type: article