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Professor Peter Kropholler

Professor of Pure Mathematics

Professor Peter Kropholler is a Professor of Mathematics within Mathematical Sciences at the University of Southampton.

Background

Chair of Mathematics, University of Southampton

Chair of Pure Mathematics, University of Glasgow

Readership, Queen Mary, University of London

SERC Advanced Fellowship, Queen Mary College, University of London

Research Fellowship, St John's College, Cambridge

PhD Jesus College, Cambridge

MA, Jesus College, Cambridge

Research

Publications

Teaching

Contact

Research interests

My research interests are inspired by the study of dimension and related cohomological finiteness conditions for groups and for the geometrical objects whose symmetries they describe. I have made contributions to the theory of infinite soluble groups, Poincaré duality groups, splittings of groups and hierarchical decompositions of groups. My recent research has led me to many wider fields of application of these methods.

Research group

Pure Mathematics

Affiliate research group

Geometric Group Theory

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Articles

Book

Kropholler, P. H., Leary, I. J., Martínez-Pérez, C., & Nucinkis, B. E. A. (Eds.) (2018). Geometric and Cohomological Group Theory. (London Mathematical Society Lecture Notes in Mathematics). Cambridge University Press.

Book Chapters

Kropholler, P. H., Linnell, P., & Lück, W. (2009). Groups of small homological dimension and the Atiyah conjecture. In M. R. Bridson, P. H. Kropholler, & I. J. Leary (Eds.), Geometric and Cohomological Methods in Group Theory (pp. 272-277). (London Mathematical Society Lecture Note Series; Vol. 358). Cambridge University Press. https://doi.org/10.1017/CBO9781139107099
Berrick, A. J., & Kropholler, P. H. (2001). Groups with infinite homology. In J. Aquade, C. Broto, & C. Casacuberta (Eds.), Cohomological Methods in Homotopy Theory (pp. 27-33). (Progress in Mathematcis; Vol. 196). Birkhäuser.
Kropholler, P. H. (1995). Cohomological finiteness conditions. In C. M. Campbell, E. F. Robertson, T. C. Hurley, S. J. Tobin, & J. Ward (Eds.), Groups '93 Galway/St. Andrews (pp. 274-304). (London Mathematical Society Lecture Note Series; Vol. 211). Cambridge University Press. https://doi.org/10.1017/CBO9780511629280.025
Benson, D. J., & Kropholler, P. H. (1995). Cohomology of groups. In I. M. James (Ed.), Handbook of Algebraic Topology (pp. 917-950). North-Holland,. https://doi.org/10.1016/B978-044481779-2/50019-5
Kropholler, P. H. (1995). Hierarchical decompositions, generalized Tate cohomology, and groups of type (FP)? In A. J. Duncan, N. D. Gilbert, & J. Howie (Eds.), Combinatorial and Geometric Group Theory, Edinburgh 1993 (pp. 190-216). (London Mathematical Society Lecture Note Series; Vol. 204). Cambridge University Press.
Kropholler, P. H. (1993). A group-theoretic proof of the torus theorem. In Geometric Group Theory, Vol. 1 (pp. 138-158). (London Mathematical Society Lecture Note Series; Vol. 181). Cambridge University Press. https://doi.org/10.1017/CBO9780511661860.013

MATH6138 Geometric Group Theory

Professor Peter Kropholler
Professor Peter Kropholler
Building 54/8009
Mathematical Sciences
University of Southampton
Southampton
SO17 1BJ

Tel: 023 8059 3676
Email: P.H.Kropholler@southampton.ac.uk

Room Number: 54/8009

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