Research

A categorical characterization of strong Steiner ω-categories (joint with Dimitri Ara, Viktoriya Ozornova and Martina Rovelli), arXiv:2204.12962. To appear in Journal of Pure and Applied Algebra, DOI 10.1016/j.jpaa.2022.107313

Nerves and cones of free loop-free ω-categories (joint with Viktoriya Ozornova and Martina Rovelli), arXiv:2103.01066. To appear in Tunisian Journal of Mathematics.

Bilimits are bifinal objects (joint with Yonatan Harpaz and Edoardo Lanari), arXiv:2103.16394. Journal of Pure and Applied Algebra, Vol. 226 (2022), Issue 12, 107137. DOI 10.1016/j.jpaa.2022.107137.

On the equivalence of all models for (∞,2)-categories (joint work with Yonatan Harpaz and Edoardo Lanari),  arXiv:1911.01905. Journal of the London Mathematical Society, Vol. 106 (2022), Issue 3, pp. 1663-2845. DOI 10.1112/jlms.12614

Gray tensor products and lax functors of (∞,2)-categories (joint work with Yonatan Harpaz and Edoardo Lanari). Advances in Mathematics, 391 (2021), 107986. DOI 10.1016/j.aim.2021.107986

Strict n-categories and augmented directed complexes model homotopy types. Advances in Mathematics, 331 (2018), pp. 542-564. DOI 10.1016/j.aim.2018.04.010 

Cartesian Fibrations of (∞,2)-categories (joint with Yonatan Harpaz and Edoardo Lanari), arXiv:2107.12356. accepted for publication on Algebraic & Geometric Topology.

Fibrations and lax limits of  (∞,2)-categories (joint work with Yonatan Harpaz and Edoardo Lanari), arXiv:2012.04537. Submitted to Documenta Mathematica on Jun 2021. Still waiting for the first report. The article has been already cited by 13 papers, at least 6 of which already published.

On a notion of oplax 3-functor, arXiv:2004.14220. Submitted to TAC and then withdrawn after three years without receiving a report and editors not answering my emails for the last two.

On the homotopy theory of strict 3-categories. (pdf)