Dr Daniel Stevenson

Senior Lecturer

School of Computer and Mathematical Sciences

Faculty of Sciences, Engineering and Technology

My research interests lie at the interface of category theory and homotopy theory; I am especially interested in the interaction of ∞-categories with abstract homotopy theory.

My Research
Career
Publications
Supervision
Contact

My research interests lie at the interface of category theory and homotopy theory; I am especially interested in the interaction between the theory of ∞-categories and abstract homotopy theory.

Appointments

Date	Position	Institution name
2013 - ongoing	Senior Lecturer	University of Adelaide
2008 - 2013	Lecturer	University of Glasgow
2007 - 2008	Research Associate	University of Hamburg
2004 - 2007	Visiting Assistant Professor	University of California, Riverside

Education

Date Institution name Country Title

2000 University of Adelaide Australia PhD

1996 University of Adelaide Australia BSc Hons I
Research Interests

Pure Mathematics

Date	Institution name	Country	Title
2000	University of Adelaide	Australia	PhD
1996	University of Adelaide	Australia	BSc Hons I

Journals

Year	Citation
2023	Baez, J. C., Crans, A. S., Schreiber, U., & Stevenson, D. (2023). ERRATUM TO “FROM LOOP GROUPS TO 2-GROUPS”. Homology, Homotopy and Applications, 25(2), 403-405. DOI
2020	Becker, K. E., Murray, M. K., & Stevenson, D. (2020). The Weyl map and bundle gerbes. Journal of Geometry and Physics, 149, 103572-1-103572-19. DOI Scopus1 WoS1
2018	Stevenson, D. (2018). Model Structures for Correspondences and Bifibrations.
2018	Stevenson, D. (2018). Notes on the Joyal model structure.
2018	Stevenson, D. (2018). Stability for inner fibrations revisited. Theory and Applications of Categories, 33, 523-536. Scopus2
2017	Stevenson, D. (2017). Covariant model structures and simplicial localization. North-Western European Journal of Mathematics, 3, 141-202.
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., & Stevenson, D. (2016). Simplicial principal bundles in parametrized spaces. New York Journal of Mathematics, 22, 405-440. Scopus3
2015	Nikolaus, T., Schreiber, U., & Stevenson, D. (2015). Principal $$\infty $$ ∞ -bundles: presentations. Journal of Homotopy and Related Structures, 10(3), 565-622. DOI Scopus17
2015	Nikolaus, T., Schreiber, U., & Stevenson, D. (2015). Principal ∞-bundles: general theory. Journal of Homotopy and Related Structures, 10(4), 749-801. DOI Scopus48
2013	Hekmati, P., Murray, M., Stevenson, D., & Vozzo, R. (2013). The Faddeev-Mickelsson-Shatashvili anomaly and lifting bundle gerbes. Communications in Mathematical Physics, 319(2), 379-393. DOI Scopus1 WoS1
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
2012	Stevenson, D. (2012). Décalage and Kan's simplicial loop group functor. Theory and Applications of Categories, 26(28), 768-787. Scopus9
2011	Murray, M., & Stevenson, D. (2011). A note on bundle gerbes and infinite-dimensionality. Journal of the Australian Mathematical Society, 90(1), 81-92. DOI Scopus3 WoS3
2010	Stevenson, D. (2010). Geometry of infinite dimensional Grassmannians and the Mickelsson-Rajeev cocycle. Journal of Geometry and Physics, 60(4), 664-677. DOI Scopus2
2008	Murray, M., & Stevenson, D. (2008). The basic bundle gerbe on unitary groups. Journal of Geometry and Physics, 58(11), 1571-1590. DOI Scopus12 WoS11
2007	Varghese, M., & Stevenson, D. (2007). Entire cyclic homology of stable continuous trace algebras. Bulletin of the London Mathematical Society, 39(1), 71-75. DOI Scopus4 WoS4
2007	Baez, J. C., Stevenson, D., Crans, A. S., & Schreiber, U. (2007). From loop groups to 2-groups. Homology, Homotopy and Applications, 9(2), 101-135. DOI Scopus78
2006	Varghese, M., & Stevenson, D. (2006). On a generalised Connes-Hochschild-Kostant-Rosenberg theorem. Advances in Mathematics, 200(2), 303-335. DOI Scopus17 WoS19
2005	Carey, A., Johnson, S., Murray, M., Stevenson, D., & Wang, B. (2005). Bundle gerbes for Chern-Simons and Wess-Zumino-Witten theories. Communications in Mathematical Physics, 259(3), 577-613. DOI Scopus62 WoS59
2004	Stevenson, D. (2004). Bundle 2-gerbes. Proceedings of the London Mathematical Society, 88(2), 405-435. DOI Scopus27
2003	Varghese, M., Murray, M., & Stevenson, D. (2003). Type-1 D-branes in an H-flux and twisted KO-theory. The Journal of High Energy Physics, 11(11), www 1-www 22. DOI Scopus9 WoS9
2003	Murray, M., & Stevenson, D. (2003). Higgs fields, bundle gerbes and string structures. Communications in Mathematical Physics, 243(3), 541-555. DOI Scopus33 WoS30
2003	Varghese, M., & Stevenson, D. (2003). Chern character in twisted K-theory: Equivariant and holomorphic cases. Communications in Mathematical Physics, 236(1), 161-186. DOI Scopus36 WoS37
2002	Bouwknegt, P., Carey, A., Varghese, M., Murray, M., & Stevenson, D. (2002). Twisted K-theory and K-theory of bundle gerbes. Communications in Mathematical Physics, 228(1), 17-45. DOI Scopus143 WoS138
2000	Murray, M., & Stevenson, D. (2000). Bundle gerbes: stable isomorphism and local theory. Journal of the London Mathematical Society, 62(3), 925-937. DOI Scopus80 WoS81

Book Chapters

Year Citation

2009 Baez, J., & Stevenson, D. (2009). The classifying space of a topological 2-group. In T. N. M. Society (Ed.), Unknown Book (pp. 1-32). Heidelberg: Springer.
Scopus23

Year	Citation
2009	Baez, J., & Stevenson, D. (2009). The classifying space of a topological 2-group. In T. N. M. Society (Ed.), Unknown Book (pp. 1-32). Heidelberg: Springer. Scopus23

Conference Papers

Year	Citation
2001	Murray, M., & Stevenson, D. (2001). Yet another construction of the central extension of the loop group. In A. Isaev, A. Hassell, A. McIntosh, & A. Sikora (Eds.), Proceedings of the Centre for Mathematics and its Applications (pp. 194-200). Canberra, ACT, AUSTRALIA: ANU, CANBERRA, ACT 0200.

Theses

Year Citation

2000 Stevenson, D. (2000). The Geometry of Bundle Gerbes.
Internet Publications

Year Citation

2012 Stevenson, D. (2012). Classifying theory for simplicial parametrized groups.

Year	Citation
2000	Stevenson, D. (2000). The Geometry of Bundle Gerbes.

Year	Citation
2012	Stevenson, D. (2012). Classifying theory for simplicial parametrized groups.

Current Higher Degree by Research Supervision (University of Adelaide)

Date	Role	Research Topic	Program	Degree Type	Student Load	Student Name
2023	Principal Supervisor	Classifying Spaces and Simplicial Groupoids	Master of Philosophy	Master	Full Time	Mr Matthew James Drown

Past Higher Degree by Research Supervision (University of Adelaide)

Date	Role	Research Topic	Program	Degree Type	Student Load	Student Name
2020 - 2022	Principal Supervisor	Equivariant Bundle Gerbes and Simplicial Extensions	Master of Philosophy	Master	Full Time	Mr Liam Karl Stoldt
2019 - 2021	Principal Supervisor	The Classifying Spaces of Some Categories	Master of Philosophy	Master	Full Time	Mr Kieran Emmett O'Loughlin
2019 - 2022	Co-Supervisor	Equivariant Oka theory for Riemann surfaces	Master of Philosophy	Master	Full Time	Mr Alexander Joseph Fausto Lai De Oliveira
2019 - 2022	Co-Supervisor	Algebraic Oka Theory for Curves	Master of Philosophy	Master	Full Time	Mr Ryan James Dye
2019 - 2024	Principal Supervisor	Higher differential geometry and non-integral Kac-Moody extensions	Master of Philosophy	Master	Full Time	Mr James Anthony McCusker
2017 - 2019	Co-Supervisor	Bundle Gerbes and the Weyl Map	Master of Philosophy	Master	Full Time	Miss Kimberly Elise Becker
2017 - 2019	Co-Supervisor	Holomorphic Immersions of Restricted Growth from Smooth Affine Algebraic Curves into the Complex Plane	Master of Philosophy	Master	Full Time	Mr Daniel Cody John
2016 - 2018	Co-Supervisor	Lifting Bundle Gerbes and Central Extensions of Gauge Groups	Master of Philosophy	Master	Full Time	Mr Parsa Kavkani
2014 - 2017	Co-Supervisor	Topics in Equivariant Cohomology	Master of Philosophy	Master	Full Time	Luke Francis Keating Hughes

Position: Senior Lecturer
Phone: 83135651
Email: daniel.stevenson@adelaide.edu.au
Fax: 83133696
Campus: North Terrace
Building: Ingkarni Wardli, floor 6
Org Unit: Mathematical Sciences

Dr Daniel Stevenson

Appointments

Education

Research Interests

Journals

Book Chapters

Conference Papers

Theses

Internet Publications

Current Higher Degree by Research Supervision (University of Adelaide)

Past Higher Degree by Research Supervision (University of Adelaide)

Connect With Me

External Profiles