Mitchener, Paul, Dr

Dr Paul Mitchener

School of Mathematical and Physical Sciences

Lecturer

MSc Mathematics Admissions Tutor and Course Director

p.mitchener@sheffield.ac.uk
+44 114 222 3858

J20, Hicks Building

Full contact details

Dr Paul Mitchener
School of Mathematical and Physical Sciences
J20
Hicks Building
Hounsfield Road
91ֱ��
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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Mitchener P, Norouzizadeh B & Schick T (2020) . Mathematische Nachrichten.
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 P (2002) . Proceedings of the London Mathematical Society, 84(2), 375-404.
Mitchener PD (2002) . K-Theory, 26(4), 307-344.
Mitchener PD (2001) . K-Theory, 24(2), 157-201.
Mitchener P (2001) Coarse Homology Theories. Algebraic and Geometric Topology.
Mitchener P & Gheith N () Coarse Examples of Baues Cofibration Categories. Sarejevo Journal of Mathematics.
Mitchener P () Descent and the $KH$-assembly map.

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

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