Dr Paul Mitchener

School of Mathematics and Statistics

Lecturer

MSc Mathematics Admissions Tutor and Course Director

P.Mitchener@shef.ac.uk
+44 114 222 3858

Full contact details

Dr Paul Mitchener
School of Mathematics and Statistics
J20
Hicks Building
Hounsfield Road
Sheffield
S3 7RH
Research interests

My research spans algebraic topology and functional analysis. I am particularly interested in area where the two fields intersect, such as non-commutative geometry, K-theory, index theory and coarse geometry.

Publications

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All publications

Journal articles

Working papers

  • Mitchener P () Descent and the $KH$-assembly map. ArXiV. RIS download Bibtex download

Preprints

  • Browne SL & Mitchener PD (2020) E-theory for $C^ast$-Categories, arXiv. RIS download Bibtex download
  • Mitchener PD, Norouzizadeh B & Schick T (2018) Coarse Homotopy Groups, arXiv. RIS download Bibtex download
  • Mitchener PD (2012) Descent and the $KH$-assembly map, arXiv. RIS download Bibtex download
  • Mitchener PD (2011) An Analytic Novikov Conjecture for Semigroups, arXiv. RIS download Bibtex download
  • Mitchener PD (2010) The General Notion of Descent in Coarse Geometry, arXiv. RIS download Bibtex download
  • Mitchener PD (2010) The $K$-theory spectrum of the reduced group $C^ast$-algebra is a functor, arXiv. RIS download Bibtex download
  • Mitchener PD (2007) The $KH$-Isomorphism Conjecture and Algebraic $KK$-theory, arXiv. RIS download Bibtex download
  • Mitchener PD (2007) Algebraic $K$-theory Spectra and Factorisations of Analytic Assembly Maps, arXiv. RIS download Bibtex download
  • Mitchener PD (2007) $KK$-theory spectra for $C^ast$-categories and discrete groupoid $C^ast$-algebras, arXiv. RIS download Bibtex download
  • Mitchener PD (2003) Addendum to "Coarse homology theories", arXiv. RIS download Bibtex download
  • Mitchener PD (2002) C*-categories, Groupoid Actions, Equivariant KK-theory, and the Baum-Connes Conjecture, arXiv. RIS download Bibtex download
  • Mitchener PD (2002) KK-theory of C*-categories and the analytic assembly map, arXiv. RIS download Bibtex download
  • Mitchener PD (2001) Coarse homology theories, arXiv. RIS download Bibtex download
  • Mitchener P () $K$-theory for topological algebroids. RIS download Bibtex download
Research group

Topology

Teaching interests

Many of my mathematical interests, both in teaching and research, involve analysis, both concrete and abstract. By analysis, I mean the study of convergence and continuity, and areas of mathematics for which these concepts are vital, including calculus, measure theory, complex analysis, the study of metric spaces and functional analysis. More generally, I like teaching modules and projects where techniques from a number of different parts of mathematics come together and have to be used.

Teaching activities
MAS436 Functional Analysis