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Research project

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

Staff

Lead researchers

Professor Jacek Brodzki

Head of School
Research interests
  • Topological data analysis
  • Applications of topology to medicine, biology, chemistry, physics, computer science
  • Noncommutative Geometry
Connect with Jacek

Email: J.Brodzki@soton.ac.uk

Other researchers

Professor Graham Niblo FIMA

Professor
Research interests
  • Geometric group theory
  • Non-commutative geometry
  • Low dimensional topology
Connect with Graham

Email: G.A.Niblo@soton.ac.uk

Collaborating research institutes, centres and groups

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
Amenable actions, invariant means and bounded cohomology
Jacek Brodzki, Graham A. Niblo, Piotr Nowak & Nick Wright, 2012, Journal of Topology and Analysis, 4(321), 321-334
DOI: 10.1142/S1793525312500161
Type: article
A homological characterization of topological amenability
Jacek Brodzki, Graham A. Niblo, Piotr Nowak & N.J. Wright, 2012, Algebraic & Geometric Topology, 12(3), 1767-1780
Type: article