Professor Ian J Leary BA, MA, PhD

Professor of Pure Mathematics

Professor Ian J Leary is a Professor of Pure Mathematics at the University of Southampton.

Background

Sept 2011 - date Professor of Pure Mathematics, University of Southampton

2004 - 2011 Associate Professor and Full Professor at the Ohio State University

1996 - 2004 Lecturer, Reader and Professor at University of Southampton

Between 1990 and 1996 held post-doctoral positions at QMW London, ETH Zurich, CRM Barcelona and MPI Bonn

1990 PhD in Pure Mathematics, University of Cambridge

1986 BA in Mathematics, University of Cambridge

Research

Publications

Teaching

Contact

Research interests

Group theory, especially geometric group theory and its connections with homological algebra, geometric topology and algebraic topology. I particularly like creating (or should I say discovering?) examples of mathematical objects (such as groups or spaces) that have unusual combinations of properties.

The main themes that have appeared in my research in recent years are: classifying spaces for families of subgroups; finiteness condition for groups and connections with algebraic K-theory; spaces satisfying non-positive curvature conditions such as CAT(0)-spaces; special classes of groups such as Artin groups, Coxeter groups and Bestvina-Brady groups.

If you are interested in working on a PhD in any of these areas, I encourage you to contact me.

Research group

Pure Mathematics

Affiliate research group

Geometric Group Theory

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Articles

Books

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.
Davis, M. W., Fowler, J., Lafont, J-F., & Leary, I. (Eds.) (2016). Topology and Geometric Group Theory: Ohio State University, Columbus, USA, 2010-2011. (1st ed.) (Springer Proceedings in Mathematics and Statistics; Vol. 184). Springer Verlag.
Bridson, M. R., Kropholler, P. H., & Leary, I. J. (Eds.) (2009). Geometric and cohomological methods in group theory. (London Mathematical Society Lecture Notes; No. 358). Cambridge University Press.

Book Chapter

Leary, I. J., Niblo, G. A., & Wise, D. T. (1999). Some free-by-cyclic groups. In C. M. Campbell, E. F. Robertson, N. Ruscuc, & G. C. Smith (Eds.), Groups St Andrews 1997 in Bath (pp. 512-516). (London Mathematical Society Lecture Note Series; No. 261). Cambridge University Press. https://doi.org/10.2277/0521655765

Conferences

Juan-Pineda, D., & Leary, I. J. (2006). On classifying spaces for the family of virtually cyclic subgroups. In A. Adem, J. Gonzalez, & G. Pastor (Eds.), Recent Developments in Algebraic Topology (Contemporary Mathematics; No. 407). American Mathematical Society.
Davis, M. W., & Leary, I. J. (2003). Some examples of discrete group actions on aspherical manifolds. In F. T. Farrell, & W. Luck (Eds.), High-Dimensional Manifold Topology: Proceedings of the School Ictp (pp. 139-150). (The Abdus Salam International Centre for Theoretical Physics). World Scientific. https://doi.org/10.1142/9789812704443_0006
Dicks, W., & Leary, I. J. (1998). On subgroups of Coxeter groups. In P. H. Kropholler, G. A. Niblo, & R. Stöhr (Eds.), Geometry and Cohomology in Group Theory (pp. 124-160). (London Mathematical Society Lecture Notes; No. 252). Cambridge University Press. https://doi.org/10.1017/CBO9780511666131.010
Leary, I. J. (1996). A bound on the expondent of the cohomology of BC-bundles. In G. Mislin, C. Casacuberta, & C. Broto (Eds.), Algebraic Topology: New Trends in Localization and Periodicity (pp. 255-259). (Progress in Mathematics; No. 136). Birkhaueser.
Glover, H. H., Leary, I. J., & Thomas, C. B. (1996). The Yagita invariant of general linear groups. In C. Broto, C. Casacuberta, & G. Mislin (Eds.), Algebraic Topology: New Trends in Localization and Periodicity (pp. 185-192). (Progress in Mathematics; No. 136). Birkhaueser.

MATH6156 Modules & Representations

Professor Ian J Leary
Building 54 Mathematical Sciences University of Southampton Highfield Southampton SO17 1BJ

Room Number: 54/8013

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