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

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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)

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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. Scopus1
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. M. (2015). A topological fibrewise fundamental groupoid. Homology, Homotopy and Applications, 17(2), 37-51. DOI Scopus1 WoS1
2015	Roberts, D. (2015). The weak choice principle WISC may fail in the category of sets. Studia Logica, 103(5), 1005-1017. DOI Scopus1
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 WoS10
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.
Software

Year Citation
— Roberts, D., & Nagy, B. (n.d.). codeloops repository [Computer Software].
DOI

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

Year	Citation
—	Roberts, D., & Nagy, B. (n.d.). codeloops repository [Computer Software]. DOI

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

Software

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