Università di Bologna, Dipartimento di Matematica (Ufficio G5), Piazza di Porta San Donato 5, 40126 Bologna, Italy.
e-mail: enricofatighenti6 [at]gmail[dot]com or enrico.fatighenti [at] unibo [dot] it
The first version (alpha!) of the Fano fourfold database is online!
Schur and Shadows: if you want to compute the Chern character of a Schur functor, or you are not afraid of (Chern) shadows!
Topics on Fano varieties: preliminary version (updated 4/24), with many typos, inaccuracies and so on (and only halfway done). Use them at your own risk!
Where I'll be: Upcoming trips.
To-be-read list - which papers I would like to read (but will most likely fail to).
AlGe Calendar: by myself, Andrea Petracci and Lorenzo De Biase.
The data from Fano 3-folds from homogeneous vector bundles over Grassmannians can now be visualized here. (Thanks to Pieter Belmans!)
I am an Associate Professor at Università di Bologna.
Previously I was a researcher (RTD-B) at Università di Bologna and at Sapienza Università di Roma (RTD-A), a postdoc at IMT Toulouse, at Loughborough University, and at Università Roma 3. Even before, I got my PhD in 2017 at the University of Warwick, with Miles Reid as advisor. I’m an algebraic geometer, and I enjoy working with explicit constructions and equations - especially when they’re driven by ideas from representation theory. In the past few years, my work has revolved mostly around Fano varieties and hyperkähler manifolds. Below is an (almost) detailed list of the things that have been keeping me busy. For a more detailed CV click here.
Fano varieties in Grassmannians and other homogeneous varieties, and their classification.
Fano manifolds of K3 and Calabi-Yau type and link with hyperkähler geometry. Explicit constructions of varieties in homogenous varieties and their Hodge theory.
Vector bundles on hyperkähler manifolds and their moduli.
Explicit construction of surfaces of general type with small pg,K2 and Calabi-Yau quotients in low dimension
Fano and Calabi-Yau varieties in weighted projective spaces. Explicit birational classification, especially of Q -Fano threefolds.
Seminario di Algebra&Geometria (Bologna), Seminario di Algebra&Geometria (Sapienza).
Recorded seminars: BIRS (09/23), ZAG (06/21), Nottingham (11/20), Simons Conference (09/20).
Databases: Fano4folds, grdb, fanography, fanosearch, superficie, grassmannian.
GNSAGA, gecogedi, ANR FanoHK, Abram Gannibal, COW, CALF EmSG, GAeL, GLEN, BrAG,3CinG, Warwick.
(Old) online AG seminars: Derived, Nottingham, ZAG, Mathseminars.
arXiv, researchgate, mathoverflow, mathgenealogy, scopus, orcid .
Làbas, giap, w.a.s.t.e., km497.