Dr David Roberts

Research Associate

School of Mathematical Sciences

Faculty of Engineering, Computer and Mathematical Sciences

Pure mathematician working on geometry and category theory.
See https://thehighergeometer.wordpress.com or https://ncatlab.org/nlab/show/David+Michael+Roberts for more information about my research.

Career
Publications
Contact

Expand

Appointments

Date	Position	Institution name
2018 - 2020	Research Associate	University of Adelaide
2017 - 2018	Lecturer	University of Adelaide
2015	Visiting Fellow	University of Adelaide
2012 - 2015	Research Associate	University of Adelaide
2009 - 2012	Research Officer	NCVER

Education

Date Institution name Country Title
2005 - 2010 University of Adelaide Australia PhD
2001 - 2004 University of Adelaide Australia BSc(hons)
Research Interests

Algebraic and Differential Geometry Category Theory Mathematical Logic

Date	Institution name	Country	Title
2005 - 2010	University of Adelaide	Australia	PhD
2001 - 2004	University of Adelaide	Australia	BSc(hons)

Expand

Journals

Year	Citation
2018	Roberts, D. (2018). No ancient scottish evidence of fifth platonic solid. Notices of the American Mathematical Society, 65(6), 677.
2018	Roberts, D., & Vozzo, R. (2018). Smooth loop stacks of differentiable stacks and gerbes. Cahiers de Topologie et Geometrie Differentielle Categoriques, LIX(2), 95-141.
2017	Murray, M., Roberts, D., & Wockel, C. (2017). Quasi-periodic paths and a string 2-group model from the free loop group. Journal of Lie Theory, 27(4), 1151-1177.
2017	Murray, M., Roberts, D., Stevenson, D., & Vozzo, R. (2017). Equivariant bundle gerbes. Advances in Theoretical and Mathematical Physics, 21(4), 921-975. DOI Scopus3 WoS3
2016	Roberts, D. (2016). A bigroupoid's topology (or, Topologising the homotopy bigroupoid of a space). Journal of Homotopy and Related Structures, 11(4), 923-942. DOI
2016	Roberts, D. (2016). On certain 2-categories admitting localisation by bicategories of fractions. Applied Categorical Structures: a journal devoted to applications of categorical methods in algebra, analysis, order, topology and computer science, 24(4), 373-384. DOI
2016	Roberts, D., & Stevenson, D. (2016). Simplicial principal bundles in parametrized spaces. New York Journal of Mathematics, 22, 405-440.
2015	Roberts, D. (2015). The weak choice principle WISC may fail in the category of sets. Studia Logica, 103(5), 1005-1017. DOI Scopus1
2015	Roberts, D. M. (2015). A topological fibrewise fundamental groupoid. Homology, Homotopy and Applications, 17(2), 37-51. DOI Scopus1 WoS1
2013	Roberts, D. (2013). The universal simplicial bundle is a simplicial group. The New York Journal of Mathematics, 19, 51-60. Scopus1 WoS1
2012	Roberts, D. (2012). Internal categories, anafunctors and localisations. Theory and Applications of Categories, 26(29), 788-829. Scopus10 WoS8
2012	Murray, M., Roberts, D., & Stevenson, D. (2012). On the existence of bibundles. Proceedings of the London Mathematical Society, 105(6), 1290-1314. DOI Scopus2 WoS2
2008	Roberts, D., & Schreiber, U. (2008). The inner automorphism 3-group of a strict 2-group. Journal of Homotopy and Related Structures, 3(1), 193-245. WoS10
2006	Varghese, M., & Roberts, D. (2006). Yang-Mills theory for bundle gerbes. Journal of Physics A: Mathematical and Theoretical (Print Edition), 39(20), 6039-6044. DOI Scopus2 WoS2
—	Roberts, D. M. (n.d.). The elementary construction of formal anafunctors.
—	Roberts, D. (n.d.). Comments on Mochizuki’s 2018 Report. DOI
—	Nagy, B., & Roberts, D. M. (n.d.). (Re)constructing code loops.

Book Chapters

Year	Citation
2017	Roberts, D., & Vozzo, R. (2017). The smooth Hom-stack of an orbifold. In D. Wood, J. de Gier, C. Praeger, & T. Tao (Eds.), 2016 MATRIX Annals (Vol. 1, pp. 43-47). Switzerland: Springer, Cham. DOI

Working Paper

Year Citation
— Roberts, D. M., & Schmeding, A. (n.d.). Extending Whitney's extension theorem: nonlinear function spaces.

Year	Citation
—	Roberts, D. M., & Schmeding, A. (n.d.). Extending Whitney's extension theorem: nonlinear function spaces.

Position: Research Associate
Phone: 83139987
Email: david.roberts@adelaide.edu.au
Fax: 8313 3696
Campus: North Terrace
Building: Ingkarni Wardli, floor 6
Room: 6 18
Org Unit: School of Mathematical Sciences

Dr David Roberts

Appointments

Education

Research Interests

Journals

Book Chapters

Working Paper

Connect With Me

External Profiles

Other Links