My research interests are in category theory, with applications in logic, algebra and computer science. Usually, I work on/use low dimensional category theory (2-/3-dimensional).
Preprints
[7*] Sketches and Classifying Logoi, with I. Di Liberti,
available at arXiv:2403.09264, 2024.
[6*] A finite approach to representable multicategories and related structures,
available at arXiv:2310.03503, 2023.
[5*] Some Remarks on the Interchange in Gray-categories, with N. Di Vittorio,
available at arXiv:2310.03503 (followup to A Gray-categorical pasting theorem by N. Di Vittorio), 2023.
Publications
[4] KZ-Pseudomonads and Kan Injectivity, with I. Di Liberti and L. Sousa,
Theory and Applications of Categories (Bunge Festschrift), vol. 40, No. 16, pp 430-478, 2024 (arXiv:2211.00380).
[3] A skew approach to enrichment for Gray-categories, with J. Bourke,
Advances in Mathematics, vol. 434:109327, preprint available at arXiv:2212.12358, 2023.
[2] Distributive laws for relative monads,
Applied Categorical Structures, 31 (19), preprint available at arXiv:2007.12982, 2023.
[1] On the formal theory of pseudomonads and pseudodistributive laws, with N. Gambino,
Theory and Applications of Categories, vol. 37 (2), pp. 14-56, 2021 (arXiv:0907.1359).
Work in Progress