- Cohomology Theories in Encyclopaedia of Mathematical Physics , (2006), 545-553
- The homotopy type of the cobordism category (joint S. Galatius, I. Madsen, M.Weiss) Acta Math. 202 (2009), no. 2, 195-239
- Braids, mapping class groups, and categorical delooping (joint Y. Song) Math. Ann. 339 (2007), no. 2, 377-393
- Artin's map in stable homology, Bull. Lond. Math. Soc. 39 (2007), no. 6, 989-992
- Mapping configuration spaces to moduli spaces (joint with G. Segal)
- On the Farrell cohomolgoy of the mapping class group of non-orientable surfaces (joint G. Hope) Proc. Amer. Math. Soc. 137 (2009), no. 1, 393-400
- The representation of the mapping class group of a surface on its fundamental group in stable homology
- The representation of the mapping class group of a surface on its fundamental group in stable homology
- The representation of the mapping class group of a surface on its fundamental group in stable homology Q. J. Math. 61 (2010), no. 3, 373-380
- Vanishing of the universal charcteristic classes for handlebody groups and boundary bundles (joint J Giansiracusa) J. Homotopy Relat. Struct. 6 (2011), no. 1, 103-112
- Spaces of graphs and surfaces Bull. Amer. Math. Soc. (N.S.) 49 (2012), no. 1, 73-90
- Mumford's conjecture - a topological outlook Handbook of Moduli Spaces 2012
- Embeddings of braid into mapping class groups and their homology (joint C.-F. Boedigheimer) in Configuration Spaces: Geometry, Combinatorics and Topology 2012 Sco. Norm. Sup. Pisa, 173-191
- Localisations of cobordism categories and invertible TFTs in dimension two (joint R. Juer) Homology, Homotopy and Applications, 15(2), 2013, 1-31
- Tubular configurations: equivariant scanning and splitting (joint R. Manthorpe) Journal of the London Mathematical Society,90, 2014, 640-662
- Infinite loop spaces and nilpotent K-theory (joint A. Adem, J.M. Gomez, J. Lund)
- A roadmap for the computation of persistent homology (joint N. Otter, M. Porter, P. Grindrod, H. Harrington)
- Homology stability for symmetric diffeomorphisms and mapping class groups Math. Proc. Cam. Phil. Soc.

- Slides for my talk at the AMS-Current Events Bulletin, New Orleans 2011
- Slides for my talk at the Abel Conference in honor of J. Milnor, IMA 2012
- Slides for my talk at the Stanford Symposium in honor of G. Carlsson, R. Cohen and I. Madsen, 2012
- Slides for my talk at The Legacy of Daniel Quillen, MIT 2012
- Slides for my talk at the Joint BMC/BAMC 150th LMS meeting, Cambridge 2015
- Lecture 1 Lecture 2 2016 V Congreso Latinoamericano de Matematicos
- Slides for my "Fridays at 2" talk at Oxford, 2019