nLab Fosco Loregian

I am an Italian postdoc.

I’m a former student of Domenico Fiorenza. I owe him my mathematical everything.

I’ve been a postdoc in all these places:

• University of Western Ontario, (CA)
• Masaryk University (CZ)
• Max Planck Institute for Mathematics (D)
• Center of Mathematics, University of Coimbra (PT)

Currently, I am in Tallinn in the compositionality group of Pawel Sobocinski.

Here’s a list of the papers I’ve written: link

This is my personal website. It’s way more up to date than the nLab…

Write me an email any time!

Selected writings

Review of cohesion (cohesive toposes) and differential cohesion:

• Fosco Loregian, Cohesion in Rome, talk notes, Dec. 2019 (pdf, pdf)

On optics (in computer science):

• Bryce Clarke, Derek Elkins, Jeremy Gibbons, Fosco Loregian, Bartosz Milewski, Emily Pillmore, Mario Román, Profunctor optics, a categorical update, 2020. (arXiv:2001.07488)

On (discrete) Grothendieck fibrations and profunctors:

• Emily Riehl and Fosco Loregian, Categorical notions of fibration, Expositiones Mathematicae 38 4 (2020) 496-514 [arXiv:1806.06129, doi:10.1016/j.exmath.2019.02.004]

On ends and coends:

• Fosco Loregian, Coend calculus, Cambridge University Press 2021 (arXiv:1501.02503, doi:10.1017/9781108778657, ISBN:9781108778657).

On t-structures and reflective factorization systems:

• Domenico Fiorenza, Fosco Loregian, $t$-Structures are normal torsion theories, Appl Categor Struct 24 (2016) 181–208 [arxiv:1408.7003, doi:10.1007/s10485-015-9393-z]

• Domenico Fiorenza, Fosco Loregian, Giovanni Marchetti, Hearts and towers in stable $\infty$-categories, J. Homotopy Relat. Struct. 14 (2019) 993–1042 [arXiv:1501.04658, doi:10.1007/s40062-019-00237-0]

• Fosco Loregian, Simone Vrili Triangulated factorization systems and t-structures, Journal of Algebra 550 (2020) 219-241 [doi:10.1016/j.jalgebra.2019.12.021]

Related entries

• orthogonal factorization system in a derivator

• t-structure

• end

category: people