Alexander Campbell

email: alexander.campbell@mq.edu.au

I am a Postdoctoral Research Fellow in the Department of Mathematics and Statistics at Macquarie University and a member of the Centre of Australian Category Theory.
My research interests are in category theory, especially higher and enriched category theory, and categorical aspects of homotopy theory.
I am the current organiser of the Australian Category Seminar.
In January--May 2020, I will be a Postdoctoral Fellow in the Higher Categories and Categorification program at MSRI.

Publications

  1. The model category of algebraically cofibrant 2-categories, in preparation. (abstract)
  2. A homotopy coherent cellular nerve for bicategories, in preparation. (draft of part 1, abstract for part 2)
  3. A counterexample in quasi-category theory, arXiv:1904.04965, to appear in Proceedings of the AMS.
  4. On truncated quasi-categories (with Edoardo Lanari), arXiv:1810.11188, submitted.
  5. How strict is strictification?, arXiv:1802.07538, Journal of Pure and Applied Algebra 223 (2019), no. 7, 2948--2976.
  6. Skew-enriched categories, arXiv:1709.01222, Applied Categorical Structures 26 (2018), no. 3, 597--615.
  7. A higher categorical approach to Giraud's non-abelian cohomology, PhD thesis, Macquarie University, 2016. Supervisor: Ross Street.
  8. Linear algebra via complex analysis (with Daniel Daners), The American Mathematical Monthly 120 (2013), no. 10, 877--892.

Talks

See here for a list of my talks at the Australian Category Seminar.

Slides: Enriched algebraic weak factorisation systems, talk at the Category Theory 2017 conference.

Notes:

Blog post: An exegesis of Yoneda structures, written for the Kan Extension Seminar.

Teaching

I was a co-organiser with Emily Riehl and Brendan Fong of the Kan Extension Seminar II, an online graduate reading course in category theory.

Other material

AustMS Lift-Off Fellowship Report.