## Papers $\def\Z{\mathbb Z} \def\Q{\mathbb Q} \def\Torelli{\mathcal I}$

My papers are all eventually posted to the arXiv.

 [pdf] [abstract] T. Church, B. Farb, A. Putman Integrality in the Steinberg module and the top-dimensional cohomology of GLn$\mathcal{O}$K preprint 2014. [pdf] [abstract] M. Day, A. Putman On the second homology group of the Torelli subgroup of Aut(Fn) preprint 2014. Computer code used in paper here. [pdf] [abstract] A. Putman, S. Sam Representation stability and finite linear groups preprint 2014. [pdf] [abstract] T. Church, A. Putman Generating the Johnson filtration to appear in Geom. Topol. [pdf] [abstract] J. Malestein, A. Putman Pseudo-Anosov dilatations and the Johnson filtration to appear in Groups Geom. Dyn. [pdf] [abstract] T. Brendle, D. Margalit, A. Putman Generators for the hyperelliptic Torelli group and the kernel of the Burau representation at t=-1 Invent. Math. 200 (2015), no. 1, 263-310. [pdf] [abstract] T. Church, B. Farb, A. Putman A stability conjecture for the unstable cohomology of SLn($\Z$), mapping class groups, and Aut(Fn) in "Algebraic Topology: Applications and New Directions", 55-70, Contemp. Math., 620, Amer. Math. Soc., Providence, RI. [pdf] [abstract] A. Putman Stability in the homology of congruence subgroups to appear in Invent. Math. [pdf] [abstract] A. Putman The Torelli group and congruence subgroups of the mapping class group in "Moduli spaces of Riemann surfaces (Park City, UT, 2011)", 167-194, IAS/Park City Math. Ser., 20 Amer. Math. Soc., Providence, RI. [pdf] [abstract] T. Church, B. Farb, A. Putman The rational cohomology of the mapping class group vanishes in its virtual cohomological dimension Int. Math. Res. Not. (2012), no. 21, 5025–5030. [pdf] [abstract] A. Putman Small generating sets for the Torelli group Geom. Topol. 16 (2012), 111–125. [pdf] [abstract] A. Putman, B. Wieland Abelian quotients of subgroups of the mapping class group and higher Prym representations J. London Math. Soc. (2) 88 (2013), no. 1, 79-96. [pdf] [abstract] M. Day, A. Putman A Birman exact sequence for Aut(Fn) Adv. Math. 231 (2012), 243–275. [pdf] [abstract] M. Day, A. Putman The complex of partial bases for Fn and finite generation of the Torelli subgroup of Aut(Fn) Geom. Dedicata 164 (2013), 139-153. [pdf] [abstract] A. Putman Abelian covers of surfaces and the homology of the level L mapping class group J. Topol. Anal. 3 (2011), no. 3, 265–306. [pdf] [abstract] A. Putman The Picard group of the moduli space of curves with level structures Duke Math. J. 161 (2012), no. 4, 623–674. Computer code used in paper here. [pdf] [abstract] A. Putman The Johnson homomorphism and its kernel to appear in J. Reine Angew. Math. [pdf] [abstract] A. Putman Obtaining presentations from group actions without making choices Algebr. Geom. Topol. 11 (2011), 1737-1766. [pdf] [abstract] J. Malestein, A. Putman On the self-intersections of curves deep in the lower central series of a surface group Geom. Dedicata 149 (2010), no. 1, 73–84. [pdf] [abstract] A. Putman A note on the abelianizations of finite-index subgroups of the mapping class group Proc. Amer. Math. Soc. 138 (2010) 753-758. [pdf] [abstract] A. Putman The second rational homology group of the moduli space of curves with level structures Adv. Math. 229 (2012), 1205–1234. [pdf] [abstract] J. Birman, D. Johnson, A. Putman Symplectic Heegaard splittings and linked abelian groups in "Groups of Diffeomorphisms", 135-220, Adv. Stud. Pure Math., 52, Math. Soc. Japan, Tokyo. [pdf] [abstract] N. Broaddus, B. Farb, A. Putman Irreducible Sp-representations and subgroup distortion in the mapping class group Comment. Math. Helv. 86 (2011), 537-556. [pdf] [abstract] N. Broaddus, B. Farb, A. Putman The Casson invariant and the word metric on the Torelli group C. R. Acad. Sci. Paris, Ser. I 345 (2007) 449-452. [pdf] [abstract] A. Putman An infinite presentation of the Torelli group Geom. Funct. Anal. 19 (2009), no. 2, 591-643. [pdf] [abstract] A. Putman A note on the connectivity of certain complexes associated to surfaces Enseign. Math. (2) 54 (2008), 287-301. [pdf] [abstract] A. Putman Cutting and pasting in the Torelli group Geom. Topol. 11 (2007) 829-865. [pdf] [abstract] A. Putman The rationality of sol manifolds J. Algebra 304 (1) (2006) 190-215.