Papers


My papers are all eventually posted to the arXiv.

  • Generating the Johnson filtration (with T. Church) - [abstract] [pdf] [ps]
    preprint 2013.

  • Pseudo-Anosov dilatations and the Johnson filtration (with J. Malestein) - [abstract] [pdf] [ps]
    preprint 2013, submitted.

  • Generators for the hyperelliptic Torelli group and the kernel of the Burau representation at t=-1 (with T. Brendle and D. Margalit) - [abstract] [pdf] [ps]
    preprint 2012, submitted.

  • A stability conjecture for the unstable cohomology of SL_n(Z), mapping class groups, and Aut(F_n) (with T. Church and B. Farb) - [abstract] [pdf] [ps]
    to appear in Algebraic Topology: Applications and New Directions, AMS Contemporary Mathematics Series.

  • Stability in the homology of congruence subgroups - [abstract] [pdf] [ps]
    preprint 2012, submitted.

  • The Torelli group and congruence subgroups of the mapping class group - [abstract] [pdf] [ps]
    in Moduli spaces of Riemann surfaces (Park City, UT, 2011), 167-194, IAS/Park City Math. Ser., 20 Amer. Math. Soc., Providence, RI.

  • The rational cohomology of the mapping class group vanishes in its virtual cohomological dimension (with T. Church and B. Farb) - [abstract] [pdf] [ps]
    Int. Math. Res. Not. (2012), no. 21, 5025–5030.

  • Small generating sets for the Torelli group - [abstract] [pdf] [ps]
    Geom. Topol. 16 (2012), 111–125.

  • Abelian quotients of subgroups of the mapping class group and higher Prym representations (with B. Wieland) - [abstract] [pdf] [ps]
    J. London Math. Soc. (2) 88 (2013), no. 1, 79-96.

  • A Birman exact sequence for Aut(F_n) (with M. Day) - [abstract] [pdf] [ps]
    Adv. Math. 231 (2012), 243–275.

  • The complex of partial bases for F_n and finite generation of the Torelli subgroup of Aut(F_n) (with M. Day) - [abstract] [pdf] [ps]
    Geom. Dedicata 164 (2013), 139-153.

  • Abelian covers of surfaces and the homology of the level L mapping class group - [abstract] [pdf] [ps]
    J. Topol. Anal. 3 (2011), no. 3, 265–306.

  • The Picard group of the moduli space of curves with level structures - [abstract] [pdf] [ps]
    Duke Math. J. 161 (2012), no. 4, 623–674.
    Computer code used in paper here.

  • The Johnson homomorphism and its kernel - [abstract] [pdf] [ps]
    preprint 2009; rewritten and simplified in 2013, submitted.

  • Obtaining presentations from group actions without making choices - [abstract] [pdf] [ps]
    Algebr. Geom. Topol. 11 (2011), 1737-1766.

  • On the self-intersections of curves deep in the lower central series of a surface group (with J. Malestein) - [abstract] [pdf] [ps]
    Geom. Dedicata 149 (2010), no. 1, 73–84.

  • A note on the abelianizations of finite-index subgroups of the mapping class group - [abstract] [pdf] [ps]
    Proc. Amer. Math. Soc. 138 (2010) 753-758.

  • The second rational homology group of the moduli space of curves with level structures - [abstract] [pdf] [ps]
    Adv. Math. 229 (2012), 1205–1234.

  • The abelianization of the level L mapping class group - [abstract] [pdf] [ps]
    preprint 2008. Most of the results in this paper have been subsumed into the paper "The Picard group of the moduli space of curves with level structures".

  • Symplectic Heegaard splittings and linked abelian groups (with J. Birman and D. Johnson) - [abstract] [pdf] [ps]
    in Groups of Diffeomorphisms, Adv. Stud. Pure Math., 52, Math. Soc. Japan, Tokyo, 135-220.

  • Irreducible Sp-representations and subgroup distortion in the mapping class group (with N. Broaddus and B. Farb) - [abstract] [pdf] [ps]
    Comment. Math. Helv. 86 (2011), 537-556.

  • The Casson invariant and the word metric on the Torelli group (with N. Broaddus and B. Farb) - [abstract] [pdf] [ps]
    C. R. Acad. Sci. Paris, Ser. I 345 (2007) 449-452.

  • An infinite presentation of the Torelli group - [abstract] [pdf] [ps]
    Geom. Funct. Anal. 19 (2009), no. 2, 591-643.

  • An infinite presentation of the Torelli group
    Ph.D. Thesis, 2007 (University of Chicago, advisor : Benson Farb). Split into papers "An infinite presentation of the Torelli group" and "Obtaining presentations from group actions without making choices" above.

  • A note on the connectivity of certain complexes associated to surfaces - [abstract] [pdf] [ps]
    Enseign. Math. (2) 54 (2008), 287-301.

  • Cutting and pasting in the Torelli group - [abstract] [pdf] [ps]
    Geom. Topol. 11 (2007) 829-865.

  • The rationality of sol manifolds - [abstract] [pdf] [ps]
    J. Algebra 304 (1) (2006) 190-215.