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. I have a particular interest in constructing examples in (low-dimensional) higher geometry.
I was a research associate (i.e. a postdoc) at the University of Adelaide from October 2013 to April 2015.
If you need it, here is my email: droberts.[fifth and largest-known Fermat prime]@gmail.[etc]
A bigroupoid’s topology (or, Topologising the homotopy bigroupoid of a space), arXiv:1302.7019. Journal of Homotopy and Related Structures Volume 11, Issue 4 (2016) pp 923–942 doi:10.1007/s40062-016-0160-0, ReadCube.
Fundamental bigroupoids and 2-covering spaces, PhD thesis, University of Adelaide (2010). DSpace@Adelaide
Yang-Mills theory for bundle gerbes, Journal of Physics A: Mathematical and Theoretical 39:6039-6044, 2006, doi:10.1088/0305-4470/39/20/027, arXiv:hep-th/0509037. Joint with Mathai Varghese
Strict 2-sites, -spans and localisations.
Two rational maps that generate (working title)
From code loops to 2-groups
String structures and string connections on homogeneous spaces, joint with Raymond Vozzo
What do mathematicians think about their journals? Peer review quality tops list of stated issues, LSE Impact Blog, June 22 2016 Blog post (joint with Cameron Neylon and Mark C. Wilson)
Review of Mathematics without apologies: Portrait of a problematic vocation by Michael Harris. (publisher’s page) Appears in: Gazette of the Australian Mathematical Society, Vol. 43 (2016) No. 2 (journal pdf)
Contribution to The “Bounded Gaps between Primes” Polymath Project: A Retrospective Analysis, Newsletter of the European Mathematical Society, No. 94, December 2014. (page 19 of this pdf)
Review of Lectures on real analysis by Finnur Larusson, Australian Mathematical Society Lecture Series, No. 21. (publisher’s page) Appears in: Gazette of the Australian Mathematical Society, Vol. 41 (2014) No. 5 (journal pdf)
Smooth mapping stacks of differentiable stacks and orbifolds, Functional analysis seminar, University of Colorado, Boulder. 1 December 2016.
Low-dimensional higher geometry by examples, Kempner Colloquium, University of Colorado, Boulder. 29 November 2016.
Smooth mapping orbifolds, Differential geometry seminar, University of Adelaide. 20 May 2016.
Homogeneous string connections, 2015 Annual Meeting of the Australian Mathematical Society, 1 October 2015. (Abstract)
Homogeneous bundles and higher geometry, Eduard Čech Institute for Algebra, Geometry and Physics, 24 February 2015 (notes)
A new String group model from LG, Infinite-dimensional Structures in Higher Geometry and Representation Theory, Universität Hamburg, February 2015
Explicit string bundles, Workshop on Higher Gauge Theory and Higher Quantization, Heriot-Watt University, June 2014. (notes from talk)
An explicit string bundle, Algebra/Geometry/Topology seminar University of Melbourne, 22 November 2013.
Proper class forcing, Category Theory 2013, July 2013.
The complete list is here.
See here for a list of courses I have taught.
My contributions to the nLab are released under a CC0 license. This is essentially public domain, but works in jurisdictions where such matters are difficult. Normal academic standards do apply, so attribution of ideas where they are clearly mine would be nice.