Preprints and publications Craig Westerland |

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.