2024 |
Roberts, D. M. (2024). Homotopy types of topological stacks of categories. New York Journal of Mathematics, 30, 940-955. |
2023 |
Roberts, D. M. (2023). Classifying bi-invariant 2-forms on infinite-dimensional Lie groups. |
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). Homotopy types of topological stacks of categories. |
2022 |
Roberts, D. M. (2022). Many finite-dimensional lifting bundle gerbes are torsion. Bulletin of the Australian Mathematical Society, 105(2), 323-338. DOI |
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 WoS1 |
2021 |
Roberts, D. M. (2021). The elementary construction of formal anafunctors. Categories and General Algebraic Structures with Applications, 15(1), 183-229. DOI Scopus2 |
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 Scopus3 WoS3 |
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 WoS2 |
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 WoS6 |
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 WoS2 |
2016 |
Roberts, D., & Stevenson, D. (2016). Simplicial principal bundles in parametrized spaces. New York Journal of Mathematics, 22, 405-440. Scopus3 |
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 Scopus4 WoS3 |
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. Scopus16 WoS14 |
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 WoS3 |
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Roberts, D. M. (n.d.). A Crisis of Identification. Inference: International Review of Science, 4(3). DOI |