Dr Paul Mitchener

School of Mathematical and Physical Sciences

Lecturer

MSc Mathematics Admissions Tutor and Course Director

p.mitchener@sheffield.ac.uk
J20, Hicks Building

Full contact details

Dr Paul Mitchener
School of Mathematical and Physical Sciences
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

  • Mitchener PD, Norouzizadeh B & Schick T (2020) . Mathematische Nachrichten, 293(8), 1515-1533.
  • Gheith Mohamad NE & Mitchener PD (2020) . Sarajevo Journal of Mathematics, 16(1), 83-102.
  • Mitchener P (2018) . Rocky Mountain Journal of Mathematics, 48(4), 1231-1253.
  • Mitchener P (2018) Categories of unbounded operators. Methods of Functional Analysis and Topology, 24(1), 71-81.
  • Paul DM (2010) . Algebraic and Geometric Topology, 10(4), 2419-2450.
  • Mitchener PD (2006) . Bulletin of the London Mathematical Society, 38(4), 575-586.
  • Mitchener PD (2004) . Journal of Functional Analysis, 214(1), 1-39.
  • Mitchener P (2003) . Algebraic and Geometric Topology.
  • Mitchener PD (2002) . K Theory, 26(4), 307-344.
  • Mitchener P (2002) . Proceedings of the London Mathematical Society, 84(2), 375-404.
  • Mitchener PD (2001) . K Theory, 24(2), 157-201.
  • Mitchener P (2001) Coarse Homology Theories. Algebraic and Geometric Topology.
  • Mitchener P () Descent and the $KH$-assembly map.

Working papers

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

Preprints

  • Browne SL & Mitchener PD (2020) , arXiv.
  • Mitchener PD, Norouzizadeh B & Schick T (2018) , arXiv.
  • Mitchener PD (2012) , arXiv.
  • Mitchener PD (2011) , arXiv.
  • Mitchener PD (2010) , arXiv.
  • Mitchener PD (2010) The $K$-theory spectrum of the reduced group $C^ast$-algebra is a functor, arXiv.
  • Mitchener PD (2007) , arXiv.
  • Mitchener PD (2007) , arXiv.
  • Mitchener PD (2007) , arXiv.
  • Mitchener PD (2003) , arXiv.
  • Mitchener PD (2002) , arXiv.
  • Mitchener PD (2002) , arXiv.
  • Mitchener PD (2001) , arXiv.
  • Mitchener P () $K$-theory for topological algebroids.
Research group

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

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