Thomas Church - Papers

Papers

All my papers are available on the arXiv.

13. FI-modules over Noetherian rings, 19 pages, with Jordan Ellenberg, Benson Farb, and Rohit Nagpal.

12. A stability conjecture for the unstable cohomology of SL_nZ, mapping class groups, and Aut(F_n), 18 pages, with Benson Farb and Andrew Putman.

11. FI-modules: a new approach to stability for S_n-representations, 54 pages, with Jordan Ellenberg and Benson Farb.

10. Invariance properties of Miller-Morita-Mumford characteristic numbers of fibre bundles, 15 pages, with Martin Crossley and Jeffrey Giansiracusa, to appear in Quarterly Journal of Mathematics.

9. The rational cohomology of the mapping class group vanishes in its virtual cohomological dimension, 4 pages, with Benson Farb and Andrew Putman, International Mathematics Research Notices (2011), doi: 10.1093/imrn/rnr208.

8. Orbits of curves under the Johnson kernel, 32 pages.

7. Homological stability for configuration spaces of manifolds, 33 pages, Inventiones Mathematicae 188 (2012) 2, 465–504, doi: 10.1007/s00222-011-0353-4.

6. On the geometric nature of characteristic classes of surface bundles, 26 pages, with Benson Farb and Matthew Thibault, Journal of Topology 2012, doi: 10.1112/jtopol/jts014.

5. Representation theory and homological stability, 94 pages, with Benson Farb.

4. Parametrized Abel-Jacobi maps and abelian cycles in the Torelli group, 29 pages, with Benson Farb, Journal of Topology 2011, doi: 10.1112/jtopol/jtr026.

3. Infinite generation of the kernels of the Magnus and Burau representations, with Benson Farb, Algebraic and Geometric Topology 10 (2010), 837–851, doi: 10.2140/agt.2010.10.837.

2. Some groups of mapping classes not realized by diffeomorphisms, 14 pages, with Mladen Bestvina and Juan Souto, to appear in Commentarii Mathematici Helvetici.

1. Separating twists and the Magnus representation of the Torelli group, 17 pages, with Aaron Pixton, Geometriae Dedicata 155 (2011) 1, 177–190, doi: 10.1007/s10711-011-9584-1.