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Dr Daniel Stevenson

Dr Daniel Stevenson
Senior Lecturer
School of Mathematical Sciences
Faculty of Engineering, Computer and Mathematical Sciences

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.

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External Profiles

Dr Daniel Stevenson

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.

Eligible to supervise Masters and PhD — email supervisor to discuss availability.

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 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

Journals

Year Citation
2018 Stevenson, D. (2018). Stability for inner fibrations revisited.. Theory and Applications of Categories, 33, 523-536.
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 Scopus2 WoS2
2016 Roberts, D., & Stevenson, D. (2016). Simplicial principal bundles in parametrized spaces. New York Journal of Mathematics, 22, 405-440.
2015 Nikolaus, T., Schreiber, U., & Stevenson, D. (2015). Principal $$\infty $$ ∞ -bundles: presentations. Journal of Homotopy and Related Structures, 10(3), 565-622.
DOI Scopus5
2015 Nikolaus, T., Schreiber, U., & Stevenson, D. (2015). Principal ∞-bundles: general theory. Journal of Homotopy and Related Structures, 10(4), 749-801.
DOI Scopus13
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 Scopus2 WoS2
2012 Stevenson, D. (2012). Décalage and Kan's simplicial loop group functor. Theory and Applications of Categories, 26(28), 768-787.
Scopus4
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 Scopus1 WoS1
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 Scopus8 WoS7
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., Stevenson, D., Crans, A., & Schreiber, U. (2007). From loop groups to 2-groups. Homology, Homotopy and Applications, 9(2), 101-135.
DOI Scopus49
2006 Varghese, M., & Stevenson, D. (2006). On a generalised Connes-Hochschild-Kostant-Rosenberg theorem. Advances in Mathematics, 200(2), 303-335.
DOI Scopus13 WoS16
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 Scopus43 WoS43
2004 Stevenson, D. (2004). Bundle 2-gerbes. Proceedings of the London Mathematical Society, 88(2), 405-435.
DOI Scopus20
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 Scopus3 WoS2
2003 Murray, M., & Stevenson, D. (2003). Higgs fields, bundle gerbes and string structures. Communications in Mathematical Physics, 243(3), 541-555.
DOI Scopus31 WoS29
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 Scopus26 WoS31
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 Scopus111 WoS116
2000 Murray, M., & Stevenson, D. (2000). Bundle gerbes: stable isomorphism and local theory. Journal of the London Mathematical Society, 62(3), 925-937.
DOI Scopus59 WoS60
Stevenson, D. (n.d.). Model Structures for Correspondences and Bifibrations.
Stevenson, D. (n.d.). Notes on the Joyal model structure.

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.
Scopus13

Conference Papers

Theses

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

Internet Publications

Year Citation
Stevenson, D. (n.d.). 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
2018 Co-Supervisor Higher Geometry and Central Extensions Doctor of Philosophy Doctorate Full Time Mr Parsa Kavkani
2017 Co-Supervisor Bundle Gerbes and the Weyl Map Master of Philosophy Master Full Time Miss Kimberly Elise Becker
2017 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

Past Higher Degree by Research Supervision (University of Adelaide)

Date Role Research Topic Program Degree Type Student Load Student Name
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
Fax
8313 3696
Campus
North Terrace
Building
Ingkarni Wardli, floor 6
Room Number
6 44
Org Unit
Mathematical Sciences

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