Phone:: (023) 8059 5138
Email:: J.W.Anderson@soton.ac.uk

Professor James W Anderson

Professor of Pure Mathematics

Related links: Personal homepage

Professor James W Anderson is a Professor of Mathematics at the University of Southampton.

He is known for his work on spaces of deformations of Kleinian groups, which are discrete groups of isometries of hyperbolic spaces, and on mapping class groups of hyperbolic surfaces. He is also the author of a popular undergraduate textbook on Hyperbolic Geometry.

Qualifications

BA (Mathematics), University of Georgia, USA

PhD (Mathematics), SUNY Stony Brook, USA

Postdoctoral Fellow, MSRI, USA

NSF-NATO Postdoctoral Fellow, University of Warwick, UK

G C Evans Instructor, Rice University, USA

Professor of Mathematics

Research

Responsibilities

Publications

Teaching

Contact

Research interests

Hyperbolic geometry and Kleinian groups
Riemann surfaces
The geometry and topology of 3-manifolds
Mapping class groups of surfaces

Research group

Pure Mathematics

Research project(s)

Metric geometry and analysis

Associate Dean (Education and Student Experience) for the Faculty of Social Sciences
Member of the Education Committee, London Mathematical Society
Senior Fellow, Higher Education Academy

Articles

Anderson, J. W., Parlier, H., & Pettet, A. (2016). Relative shapes of thick subsets of moduli space. American Journal of Mathematics, 138. DOI: 10.1353/ajm.2016.0010
Anderson, J. W. (2015). Prising apart geodesics by length in hyperbolic 3-manifolds. Mathematical Proceedings of the Cambridge Philosophical Society, 158(3), 547-572. DOI: 10.1017/S0305004115000146
Anderson, J. W., & Wootton, A. (2014). Gaps in the space of skeletal signatures. Archiv der Mathematik, 102(2), 181-190. DOI: 10.1007/s00013-014-0607-7
Anderson, J. W. (2014). Limit set intersection theorems for Kleinian groups and a conjecture of Susskind. Computational Methods and Function Theory, 14(2-3), 453-464. DOI: 10.1007/s40315-014-0078-7
Anderson, J. W., & Wootton, A. (2012). A lower bound for the number of group actions on a compact riemann surface. Algebraic & Geometric Topology, 12(1), 19-35. DOI: 10.2140/agt.2012.12.19
Anderson, J. W., Parlier, H., & Pettet, A. (2011). Small filling sets of curves on a surface. Topology and its Applications, 158(1), 84-92. DOI: 10.1016/j.topol.2010.10.007
Anderson, J. W., & Lecuire, C. (2010). Strong convergence of Kleinian groups: the cracked eggshell. Commentarii Mathematici Helvetici, n/a, 1-37. DOI: 10.4171/CMH/304
Anderson, J. W., Aramayona, J., & Shackleton, K. J. (2009). Corrigendum to "free subgroups of surface mapping class groups". Conformal Geometry and Dynamics, 13, 136-138. DOI: 10.1090/S1088-4173-09-00193-3
MacArthur, B. D., Sanchez-Garcia, R. J., & Anderson, J. W. (2008). Symmetry in complex networks. Discrete Applied Mathematics, 156(18), 3525-3531. DOI: 10.1016/j.dam.2008.04.008
Anderson, J. W., Aramayona, J., & Shackleton, K. J. (2007). An obstruction to the strong relative hyperbolicity of a group. Journal of Group Theory, 10(6), 749-756. DOI: 10.1515/JGT.2007.054
Anderson, J. W., Falk, K., & Tukia, P. (2007). Conformal measures associated to ends of hyperbolic n-manifolds. Quarterly Journal of Mathematics, 58(1), 1-15. DOI: 10.1093/qmath/hal019
Anderson, J. W., Aramayona, J., & Shackleton, K. J. (2007). Free subgroups of surface mapping class groups. Conformal Geometry and Dynamics, 11, 44-55.
Anderson, J. W., Aramayona, J., & Shackleton, K. J. (2007). Uniformly exponential growth and mapping class groups of surfaces. Contemporary Mathematics, 432, 1-6.
Anderson, J. W., Fox, K. R., & Niblo, G. A. (2006). A fast algorithm for the construction of universal footprinting templates in DNA. Journal of Mathematical Biology, 52(3), 307-342. DOI: 10.1007/s00285-005-0357-z
Anderson, J. W., Bonfert-Taylor, P., & Taylor, E. C. (2004). Convergence groups, Hausdorff dimension, and a Theorem of Sullivan and Tukia. Geometriae Dedicata, 103(1), 51-67. DOI: 10.1023/B:GEOM.0000013844.35478.e5
Anderson, J. W. (2003). Variations on a theme of Horowitz. London Mathematical Society Lecture Note Series, 299, 307-341.
Anderson, J. W. (2002). Finite volume hyperbolic 3-manifolds whose fundamental group contains a subgroup that is locally free but not free. Scientia, Series A: Mathematical Sciences, 8, 13-20.
Anderson, J. W. (2002). Incommensurability criteria for Kleinian groups. Proceedings of the American Mathematical Society, 130(1), 253-258. DOI: 10.1090/S0002-9939-01-06076-2
Anderson, J. W., & Canary, R. D. (2001). The visual core of a hyperbolic 3-manifold. Mathematische Annalen, 321(4), 989-1000. DOI: 10.1007/s002080100269
Anderson, J. W., & Canary, R. D. (2000). Cores of hyperbolic 3-manifolds and limits of Kleinian groups II. Journal of the London Mathematical Society, 61(2), 489-505. DOI: 10.1112/S0024610799008595
Anderson, J. W., Canary, R. D., & McCullough, D. (2000). On the topology of deformation spaces of Kleinian groups. Annals of Mathematics, 152(3), 693-741.
Anderson, J. W. (1998). Closed essential surfaces in hyperbolizable acylindrical 3-manifolds. Pacific Journal of Mathematics, 183(1), 1-19.
Anderson, J. W., & Rocha, A. C. (1997). Analyticity of Hausdorff dimension of limit sets of Kleinian groups. Annales Academiae Scientarum Fennica, 22, 349-364.
Anderson, J. W., & Reid, A. W. (1997). Commensurability of Fuchsian groups and their axes. Proceedings of the American Mathematical Society, 125(3), 941-942.

Book

Anderson, J. W. (2005). Hyperbolic geometry, second revised edition. (Springer Undergraduate Mathematics Series). London, UK: Springer Verlag London Ltd.

Book Chapter

Anderson, J. W. (1998). A brief survey of the deformation theory of Kleinian groups. In I. Rivin, C. Rourke, & C. Series (Eds.), The Epstein Birthday Schrift (pp. 23-49). (Geometry & Topology Monographs; Vol. 1). Coventry, UK: Geometry & Topology Publications. DOI: 10.2140/gtm.1998.1.23

Conference

Anderson, J. W., & Paternain, G. P. (2003). The minimal entropy problem for 3-manifolds with zero simplicial volume. In W. de Melo, M. Viana, & J-C. Yoccoz (Eds.), Asterisque (pp. 63-79). Paris, France: The French Mathematical Society.

MATH3033 Graph Theory

Professor James W Anderson
Building 54 Mathematical Sciences University of Southampton Highfield Southampton SO17 1BJ

Room Number:54/7019

Facsimile: (023) 8059 5147

Professor James W Anderson's personal home page

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