Martina Rovelli in nLab

Selected Publications

Martina Rovelli is an Assistant Professor at University of Massachusetts Amherst. Her research interests are in Algebraic topology, Homotopy theory and Higher category theory.

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Selected Publications

On weighted ( ∞ , 1 ) (\infty,1) -limits:

• Martina Rovelli, Weighted limits in an (∞,1)-category (2019) [arxiv:1902.00805]

On the adjunction unit of total décalage:

• Viktoriya Ozornova, Martina Rovelli, The unit of the total décalage adjunction, Journal of Homotopy and Related Structures 15 (2020) 333–349 [doi.org/10.1007/s40062-020-00257-1]

A model category structure on stratified simplicial sets modelling ( ∞ , n ) (\infty,n) -categories in the guise of n n -complicial sets:

• Viktoriya Ozornova, Martina Rovelli, Model structures for (∞,n)-categories on (pre)stratified simplicial sets and prestratified simplicial spaces, Algebr. Geom. Topol. 20 (2020) 1543-1600 [arxiv:1809.10621, doi:10.2140/agt.2020.20.1543]

A Quillen adjunction relating n n -complicial sets to n n -fold complete Segal spaces:

• Viktoriya Ozornova, Martina Rovelli, A Quillen adjunction between globular and complicial approaches to (∞,n)(\infty,n)-categories, Advances in Mathematics 421 (2023) 108980 [doi:10.1016/j.aim.2023.108980]

Discussion of straightening and unstraightening for (∞,n)-categories:

• Lyne Moser, Nima Rasekh, Martina Rovelli, An (∞,n)-categorical straightening-unstraightening construction (arXiv:2307.07259).