Tara E. Brendle

Papers and Book Chapters:

  • The level four braid group. (pdf)
    w/ Dan Margalit
    Journal für die reine und angewandte Mathematik (Crelle's Journal), online, (2015).
  • Mapping class groups. (an old version-pdf
    (w/ Leah Childers and Dan Margalit).
     To appear in Office Hours with a Geometric Group Theorist, ed. M. Clay and D. Margalit (Princeton University Press).
  • Generators for the hyperelliptic Torelli group and the kernel of the Burau representation at t = -1.  (pdf
    w/ Dan Margalit and Andrew Putman
    Inventiones Mathematicae, 200, No. 1 (2015), 263-310.
  • Factoring in the hyperelliptic Torelli group. (pdf, pdf (version 1))
    w/ Dan Margalit
    Mathematical Proceedings of the Cambridge Philosophical Society, 159, Issue 02 (2015), 207-217.
  • Point pushing, homology, and the hyperelliptic involution. (pdf)
    w/ Dan Margalit 
    Michigan Mathematical Journal, 62 (2013), 451-473.
  • Cohomology of the hyperelliptic Torelli group. (pdf)
    w/ Leah Childers and Dan Margalit
    Israel Journal of Mathematics, 195 (2013), 613-630.
  • Configuration spaces of rings and wickets. (pdf)
    w/ Allen Hatcher
    Commentarii Math. Helv. 88 (2013), 131-162.

  • Addendum to: Commensurations of the Johnson kernel. (pdf)
     w/ Dan Margalit
    Geometry and Topology, 12 (2008), 97-101.
  • Calculating the image of the second Johnson-Morita representation. (pdf)
    w/ Joan S. Birman and Nathan Broaddus
    Advanced Studies in Pure Mathematics (2008), “Groups of Diffeomorphisms” (in honor of Shigeyuki Morita).
  • The Birman-Craggs-Johnson homomorphism and abelian cycles in the Torelli group. (pdf)
    w/ Benson Farb
    Mathematische Annalen 338, No. 1 (2007), , 33-53.
  • Braids: A Survey. (pdf)
     w/ Joan Birman
    Handbook of Knot Theory, ed. W. Menasco and M. Thistlethwaite (2005).
  • Commensurations of the Johnson kernel. (pdf)
    w/ Dan Margalit
    Geometry and Topology,  8 (2004), 1361-1384.
  • Every mapping class group is generated by 6 involutions. (pdf)
     w/ Benson Farb
    Journal of Algebra, 278 (2004), 187-198.
  • The Torelli group and representations of the mapping class group. (pdf)
    Doctoral Thesis, Columbia University, (2002).
  • On the linearity problem for mapping class groups. (pdf)
    w/ Hessam Hamidi-Tehrani,
    Algebraic and Geometric Topology, 1 (2001), 445-468.