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David Roberts

I’m a recently submitted PhD student 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, with general interest in homotopy theory 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.

Selected writings

• Internal categories and anafunctors (PhD thesis, chapter I) (pdf)

This chapter is of independent interest, and is much smaller than the full thesis:

• Fundamental bigroupoids and 2-covering spaces (full 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)

category: people