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Preprints and publications

Craig Westerland

School of Mathematics
University of Minnesota
cwesterl@umn.edu

Most of these papers are also available on the arXiv.

(16) Fox-Neuwirth-Fuks cells, quantum shuffle algebras, and Malle's conjecture for function fields (with Jordan Ellenberg and TriThang Tran), preprint: arXiv:1701.04541.

(15) A higher categorical analogue of topological T-duality for sphere bundles (with John Lind and Hisham Sati), preprint: arXiv:1601.06285.

(14) A higher chromatic analogue of the image of J, Geometry and Topology 21 (2017), no. 2, 1033--1093.

(13) Homological stability for Hurwitz spaces and the Cohen-Lenstra conjecture over function fields (with Jordan S. Ellenberg and Akshay Venkatesh). Annals of Mathematics, 183 (2016), no. 3, 729--786.

(12) Hochschild homology of structured algebras (wth Nathalie Wahl). Advances in Mathematics 288 (2016), 240--307.

(11) Topological T-duality is twisted Atiyah duality, preprint: arXiv:1503.00210.

(10) Twisted Morava K-theory and E-theory (with Hisham Sati), Journal of Topology 8 (2015), no. 4, 887--916.

(9) Operads of moduli spaces of points in C^d. Proceedings of the American Mathematical Society, 141 (2013), no. 9, 3029--3035.

(8) Homological stability for Hurwitz spaces and the Cohen-Lenstra conjecture over function fields II (with Jordan S. Ellenberg and Akshay Venkatesh), preprint: arXiv:1212.0923.
Note: We have been made aware that there is a gap in Section 12 of this paper, namely, the application to Cohen-Lenstra. This also affects Section 6 and some theorems stated in the introduction. More precisely, the homological stabilization maps used in this paper and the previous paper are not exactly the same. At present, we have been able to fix this under some additional restrictions on boundary monodromy, but not in general. A modified version will be uploaded to the arxiv in the next few weeks. Until then, please contact the authors if you need more information.

(7) The symplectic Verlinde algebras and string K-theory (with Igor Kriz and Joshua Levin).  Journal of Topology, 3 (2011), no. 4, 901--936.

(6) Configuration spaces in topology and geometry, Gazette of the Australian Mathematical Society, 38 (2011), no. 5, 279--283.

(5) String topology prospectra and Hochschild cohomology (with Kate Gruher).  Journal of Topology, 1 (2008), no. 4, 837--856.

(4) Equivariant operads, string topology, and Tate cohomology.  Mathematische Annalen, 340 (2008), no. 1, 97--142.

(3) String homology of spheres and projective spaces.  Algebraic and Geometric Topology, 7 (2007), 309--325.

(2) Stable splittings of surface mapping spaces.  Topology and its Applications, 153 (2006), no. 15, 2834--2865.

(1) Dyer-Lashof operations in the string topology of spheres and projective spaces.  Mathematische Zeitschrift, 250 (2005), no. 3, 711--727.