nLab Domenico Fiorenza (Rev #19)

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• website

• contact

• my position

• my research

• exchange of thoughts

• beta versions

contact

The best way to contact me is by sending me an email at fiorenza@mat.uniroma1.it

my position

I have my PhD in math from the University of Pisa. Have been a postdoc in mathematics for three years (in Roma Tor Vergata and Sapienza). Since 2005 I am assistant professor at the Sapienza - Università di Roma

my research

I’m principally interested in categorical constructions arising from theoretical physics. See Hypothesis H.

Something like a personal research wiki with more information is beginning to develop at

• my personal web within the nLab.

exchange of thoughts

I enjoy exchanging thoughts on topics of interest for my research and always felt it would be a pity not to use the web for that purpose. To satisfy that need I use to work on

• the wiki The nLab (this wiki here).

• my personal web within the nLab

beta versions

Here is where I develop revisions of nLab entries which (from my point of view) deserve consistent revision. By this I do not mean these entries are wrong (in any sense you can give to this word); what I mean is that there are a few entries which have been edited severla times and have suffered an excess of stratification (add a line today, add another tomorrow…). So it could be not a bad idea to clean up thema a bit. As revision is complete I’ll post them on the nLab. Everything you find here is work in progress: please, edit it!

Currently revising:

• twisted cohomology

• over quasi-category

• limit

Selected writings

On Poisson algebras internal to graded vector spaces (such as Gerstenhaber algebras):

• Alberto S. Cattaneo, Domenico Fiorenza, Riccardo Longoni, Graded Poisson Algebras, in: Encyclopedia of Mathematical Physics, Elsevier (2006) 560-567 [[arXiv:1811.07395](https://arxiv.org/abs/1811.07395), doi:10.1016/B0-12-512666-2/00434-X]

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](http://arxiv.org/abs/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](https://arxiv.org/abs/1501.04658), doi:10.1007/s40062-019-00237-0]