School of Mathematics and Statistics

Dr Tara Brendle

  • Lecturer (Mathematics)

telephone: 01413306361
email: Tara.Brendle@glasgow.ac.uk


Personal website

Research Interests

My main research interests involve the interplay between algebra and topology. The automorphism group of a surface is a fundamental object in geometric and combinatorial group theory, low-dimensional topology, and algebraic geometry, for example. My research focuses on how these mapping class groups of surfaces are related to other important classes of groups such as braid groups and Coxeter groups, arithmetic groups, and automorphism groups of free groups, as well as the role played by these groups in determining the structure of 3- and 4-manifolds via constructions such as Heegaard splittings and Lefschetz fibrations.

Research Groups

Jump to: 2013 | 2012 | 2008 | 2007 | 2005 | 2004 | 2001
Number of items: 11.

2013

Brendle, T., Childers, L., and Margalit, D. (2013) Cohomology of the hyperelliptic Torelli group. Israel Journal of Mathematics . ISSN 0021-2172 (doi:10.1007/s11856-012-0075-3) (In Press)

Brendle, T., and Hatcher, A. (2013) Configuration spaces of rings and wickets. Commentarii Mathematici Helvetici . ISSN 0010-2571 (doi:10.4171/CMH) (In Press)

2012

Brendle, T.E., and Margalit, D. (2012) Factoring in the hyperelliptic Torelli group. (Unpublished)

Brendle, T.E., and Margalit, D. (2012) Point pushing, homology, and the hyperelliptic involution. (Unpublished)

2008

Birman, J., Brendle, T., and Broaddus, N. (2008) Calculating the image of the second Johnson–Morita representation. In: Groups of Diffeomorphisms (Birthday Conference in Honor of Professor Shigeyuki Morita), 2006, University of Tokyo.

Brendle, T., and Margalit, D. (2008) Addendum to: commensurations of the Johnson kernel. Geometry and Topology, 12 . pp. 97-101. ISSN 1465-3060 (doi:10.2140/gt.2008.12.97)

2007

Brendle, T.E., and Farb, B. (2007) The Birman–Craggs–Johnson homomorphism and abelian cycles in the Torelli group. Mathematische Annalen, 338 (1). pp. 33-53. ISSN 0025-5831 (doi:10.1007/s00208-006-0066-y)

2005

Birman, J., and Brendle, T. (2005) Braids: a survey. In: Menasco, W. and Thistlethwaite, M. (eds.) Handbook of Knot Theory. Elsevier, pp. 19-103. ISBN 9780444514523

2004

Brendle, T.E., and Farb, B. (2004) Every mapping class group is generated by 6 involutions. Journal of Algebra, 278 (1). pp. 187-198. ISSN 0021-8693 (doi:10.1016/j.jalgebra.2004.02.019)

Brendle, T.E., and Margalit, D. (2004) Commensurations of the Johnson kernel. Geometry and Topology, 8 . pp. 1361-1384. ISSN 1465-3060 (doi:10.2140/gt.2004.8.1361)

2001

Brendle, T.E., and Hamidi-Tehrani, H. (2001) On the linearity problem for mapping class groups. Algebraic and Geometric Topology, 1 . pp. 445-468. ISSN 1472-2747

This list was generated on Fri May 3 11:44:09 2013 BST.

Current PhD students

Neil Fullarton (Mapping class groups and related groups)
Charalampos Stylianakis (Mapping Class Groups and Related Groups )
Alan Logan (Semigroup theory)