nLab
David Roberts

I’m a visiting research fellow at the University of Adelaide (in Australia) and I work at the National Centre for Vocational Education Research. I work on 2-bundles and internal groupoids/categories, with general interest in homotopy theory d’après Grothendieck.

See my private $n$Lab area for various things, including a project on Lie fundamental bigroupoids being undertaken jointly with Andrew Stacey and various scribbles.

If you need it, here is my email: david dot roberts (at symbol) adelaide dot edu dot au

Selected writings

• Internal categories, anafunctors and localisations, arXiv:math/1101.2363 or updated version submitted for publication.

These results were originally developed in chapter 1 of

• Fundamental Bigroupoids and 2-Covering Spaces (PhD thesis) (pdf)

For a ‘lite’ introduction to the ideas in my thesis, see

• 2-covering spaces - talk at the 2009 Annual Meeting of the Australian Mathematical Society, at the University of South Australia, 30 September 2009 (slides)

Only slightly related to my thesis (and in a hidden way that never got written up) is this article:

• The inner automorphism 3-group of a strict 2-group, joint with Urs Schreiber, Journal of Homotopy and Related Structures, vol. 3(1), 2008, pp.193–245 (available at the arXiv:07081741)

See here for a full list of papers.

category: people