Research

Papers on MathSciNet

Preprints on arXiv

Direct links to selected preprints

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.

Presentations

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