David Roberts

School of Mathematical Sciences

College of Science

Eligible to supervise Masters and PhD (as Co-Supervisor) - email supervisor to discuss availability.


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.

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

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

Year Citation
2024 Roberts, D. M. (2024). Homotopy types of topological stacks of categories. The New York Journal of Mathematics, 30, 940-955.
2023 Roberts, D. M. (2023). Substructural fixed-point theorems and the diagonal argument: theme and variations. Compositionality, 5(8), 1-16.
DOI Scopus1
2022 Roberts, D. M. (2022). Explicit String bundles.
2022 Roberts, D. M. (2022). Many finite-dimensional lifting bundle gerbes are torsion. Bulletin of the Australian Mathematical Society, 105(2), 323-338.
DOI Scopus1 WoS1
2022 Roberts, D. M., & Schmeding, A. (2022). Extending Whitney's extension theorem: nonlinear function spaces. Annales de l'Institut Fourier, 71(3), 1241-1286.
DOI WoS3
2021 Roberts, D. M. (2021). The elementary construction of formal anafunctors. Categories and General Algebraic Structures with Applications, 15(1), 183-229.
DOI Scopus3 WoS2
2021 Nagy, B., & Roberts, D. M. (2021). (Re)constructing code loops. American Mathematical Monthly, 128(2), 151-161.
DOI Scopus1 WoS1
2020 Roberts, D. M. (2020). Topological sectors for heterotic M5-brane charges under Hypothesis H. Journal of High Energy Physics, 2020(6), 52-0-52-16.
DOI Scopus5 WoS4
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.
2018 Roberts, D. M. (2018). No ancient scottish evidence of fifth platonic solid. Notices of the American Mathematical Society, 65(6), 677.
2017 Murray, M., Roberts, D. M., & 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.
Scopus3 WoS3
2017 Murray, M., Roberts, D., Stevenson, D., & Vozzo, R. (2017). Equivariant bundle gerbes. Advances in Theoretical and Mathematical Physics, 21(4), 921-975.
DOI Scopus6 WoS7
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 Scopus2 WoS3
2016 Roberts, D., & Stevenson, D. (2016). Simplicial principal bundles in parametrized spaces. New York Journal of Mathematics, 22, 405-440.
Scopus4 WoS1
2015 Roberts, D. (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 Scopus5 WoS4
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.
Scopus18 WoS19
2012 Murray, M., Roberts, D., & Stevenson, D. (2012). On the existence of bibundles. Proceedings of the London Mathematical Society, 105(6), 1290-1314.
DOI Scopus3 WoS3
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.
WoS14
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 Scopus3 WoS4
- Roberts, D. M. (2019). A Crisis of Identification. Inference: International Review of Science, 4(3).
DOI

Year Citation
2022 Roberts, D. M., & Vozzo, R. F. (2022). Rigid models for 2-gerbes I: Chern-Simons geometry.
- Roberts, D. (n.d.). Class forcing and topos theory.
DOI
- Roberts, D. (n.d.). Comments on Mochizuki’s 2018 Report.
DOI

Year Citation
2019 Nagy, B., & Roberts, D. (2019). codeloops [Computer Software].

Year Citation
2023 Roberts, D. M. (2023). Classifying bi-invariant 2-forms on infinite-dimensional Lie groups.
2022 Roberts, D. M. (2022). Homotopy types of topological stacks of categories.

Date Role Research Topic Program Degree Type Student Load Student Name
2025 Co-Supervisor Higher Equivariance and String Geometry Master of Philosophy Master Full Time Mr Samuel Lloyd Groocock

Date Role Research Topic Location Program Supervision Type Student Load Student Name
2025 - ongoing Co-Supervisor Higher Equivariance and String Geometry The University of Adelaide - Master Full Time Mr Samuel Lloyd Groocock
2020 - 2020 Principal Supervisor Topos theory The University of Adelaide - Honours Full Time Blake Donnelly

Connect With Me

External Profiles

Other Links