nLab
David Roberts

I’m a postdoctoral fellow at the University of Adelaide. I work on bundle gerbes, 2-bundles, geometric stacks and internal groupoids and categories, and category theory more generally with a side interest in foundations.

If you need it, here is my email:

david dot roberts

(at symbol)

adelaide dot edu dot au

Papers

• Mapping groupoids of Lie groupoids and the bundle gerbe caloron transform, unpublished and in progress, joint with Raymond Vozzo.

• $\mathrm{Con}(\mathrm{ZF}+\neg \mathrm{WISC})$, unpublished preprint, webpage.

• A bigroupoid’s topology, arXiv:1302.7019.

• The universal simplicial bundle is a simplicial group, New York Journal of Mathematics, Volume 19 (2013) 51-60, journal version, arXiv:1204.4886.

• Simplicial principal bundles in parameterized spaces, arXiv:1203.2460, joint with Danny Stevenson. Submitted for publication.

• On the existence of bibundles, Proc. London Math. Soc. (2012) 105 (6): 1290-1314, journal version, arXiv:1102.4388. Joint with Michael Murray and Danny Stevenson

• Internal categories, anafunctors and localisations, Theory and Applications of Categories, Vol. 26, 2012, No. 29, pp 788-829, journal version, arXiv:1101.2363

• Fundamental bigroupoids and 2-covering spaces, PhD thesis, University of Adelaide (2010). pdf

• The inner automorphism 3-group of a strict 2-group, Journal of Homotopy and Related Structures, vol. 3(1), 2008, pp.193–245, journal version, arXiv:0708.1741. Joint with Urs Schreiber.

• Yang-Mills theory for bundle gerbes, Journal of Physics A: Mathematical and Theoretical 39:6039-6044, 2006, journal version, arXiv:hep-th/0509037. Joint with Mathai Varghese

Talks

(To be filled in!)

• Unbounded toposes, TBC, July 2013.

• On the Ganter-Kapranov approach to supersymmetry, Strings Journal Club, University of Adelaide. 27 May 2013.

• Diffeological spaces and differentiable stacks, Differential Geometry seminar, University of Adelaide. 10 May 2013.

• On the Baas-Dundas-Rognes approach to 2-vector bundles, Strings Journal Club, University of Adelaide. 19 February 2013.

• Elliptic cohomology - first steps, Strings Journal Club, University of Adelaide. 9 October 2012

• Sheaf cohomology via abelian categories, Strings Journal Club, University of Adelaide. 4 September 2012.

• Introduction to 2-groups, Strings Journal Club, University of Adelaide. 5 May 2012.

• 2-categorical localisation, Australian Category Seminar, Macquarie University. 12 October 2011

• Functorial 2-connected covers, Differential Geometry seminar, University of Adelaide. 21 May 2010.

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

• Fundamental 2-groups and 2-covering spaces, slides prepared for talk accepted for the Categorical groups workshop, Barcelona. June 2008. Due to lack of funding at the last minute, I wasn’t able to attend this conference, and my speaking slot was given up. See also this blog post.

• Of inner automorphisms and universal bundles, Differential Geometry seminar, University of Adelaide. 26 October 2007.

• Bundle gerbes, higher Yang-Mills and Kalb-Ramond, 2006 Annual Meeting of the Australian Mathematical Society, at Macquarie University. September 2006.

• Bundle gerbe Yang-Mills, Erwin Schrodinger Institute, May 2006.

Teaching

(currently under reconstruction)

• 2013

  • Semester 1 : Maths 1A, Lecturer (Algebra), Tutor

• 2007

  • Semester 2 : Maths 1B, Tutor

  • Semester 1: Maths 1A, Tutor

• 2006

  • Semester 2 : Maths ?? (first year), Tutor

  • Semester 1: Maths ?? (first year), Tutor

• 2005

  • Semester 2: Maths ?? (first year), Tutor

Copyright statement

My contributions to the nLab are released under a CC-BY 3.0 license. Indeed, when I can (for instance, all those of which I am solo author) I post my papers on the arXiv under this license.

category: people