nLab Simona Paoli

Simona Paoli is a Senior Lecturer in Mathematics Institute, University of Aberdeen, Aberdeen U.K.

• Aberdeen profile.

• Personal webpage

Selected writings

On the fat Delta category:

• Tom de Jong, Nicolai Kraus, Simona Paoli, Stiéphen Pradal, A study of Kock’s fat Delta (arXiv:2503.10963)

On higher category theory in terms of n-fold categories and comparison with the Tamsamani Simpson model:

• T. M. Fiore, S. Paoli, D. A. Pronk, Model structures on the category of small double categories, Algebraic and Geometric Topology, 8 (2008) 1855-1959.

• S. Paoli, Weakly globular $cat^n$-groups and Tamsamani’s model, Advances in Mathematics, 222, (2009) 621-727.

• D. Blanc, S.Paoli, Comonad cohomology of track categories, Journal of Homotopy and Related Structures, published online 14 May 2019, arXiv.1801.05065

Specifically on a Thomason model structure on n-categories (cf. model structure on DblCat):

• Thomas M. Fiore, Simona Paoli, Dorette A. Pronk, Model structures on the category of small double categories, Algebraic & Geometric Topology 8 (2008) 1855–1959 [doi:10.2140/agt.2008.8.1855]

• Thomas M. Fiore, Simona Paoli, A Thomason model structure on the category of small $n$-fold categories, Algebr. Geom. Topol. 10 4 (2010) 1933-2008 [arXiv:0808.4108, doi:10.2140/agt.2010.10.1933]

Introducing weakly globular n-fold categories:

• Simona Paoli, Weakly globular $N$-fold categories as a model of weak $N$-categories, in: Simplicial Methods for Higher Categories, Algebra and Applications 26 Springer (2019) [arXiv:1609.04072, doi:10.1007/978-3-030-05674-2_12]

• Simona Paoli, Simplicial Methods for Higher Categories – Segal-type Models of Weak $n$-Categories, Springer (2019) [doi:10.1007/978-3-030-05674-2, toc pdf]

On weakly globular double categories?:

• Simona Paoli, Weakly globular double categories and weak units (arXiv:2008.11180)

category: people