Sjoerd Crans has mainly worked on aspects of the algebraic definition of higher categories, notably on clarifying the right monoidal structure on globular ∞-categories that achieves the analogous effect that the simple cartesian product does on simplicial sets. This is now known as the Crans-Gray tensor product.

Crans also made an influential contribution to the theory of models for ∞-stack (∞,1)-toposes in his study of the model structure on simplicial sheaves.

On braided monoidal 2-categories and sylleptic monoidal 2-categories:

- Sjoerd E. Crans,
*Generalized Centers of Braided and Sylleptic Monoidal 2-Categories*, Advances in Mathematics, Volume 136, Issue 2, 25 June 1998, Pages 183-223 (doi:10.1006/aima.1998.1720)

A collection of articles by Sjoerd Crans is here:

- Articles by Sjoerd Crans (the site seems to be down, see the cached version of the site)

category: people

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