

Publications
My book: An Introduction to Noncommutative Spaces and their Geometries
(send me an email for a free electronic copy)
My arXived papers at arXiv
A subcollection of my papers as listed at inSPIRE
My coworkers
Current research activity
( noncommutative ) differential topology and geometry ... and ... their uses in mathematical physics
Main lines of research:
noncommutative manifolds (construction of metric and spin structures, vector and principal bundles),
harmonic analysis on noncommutative manifolds (Dirac and Laplace operators, index theorems),
noncommutative gauge theories (duality equations, constructions of solutions, study of moduli spaces),
Hopf algebras and quantum groups (as noncommutative manifolds, their use as generalized symmetries),
... ...
PhD Students
Francesca Arici : Gysin sequences and noncommutative circle bundles
(SISSATrieste, September 2015)
Lucio Cirio : Symmetries of noncommutative spaces and equivariant cohomology
(SISSATrieste, October 2008)
Francesco D'Andrea : Noncommutative geometry and quantum group symmetries
(SISSATrieste, October 2007)
Chiara Pagani : Quantum principal bundles and instantons
(SISSATrieste, November 2005)
Walter D. van Suijlekom : The geometry of noncommutative spheres and their symmetries
(SISSATrieste, October 2005)
Pasquale Siniscalco : A finite quantum symmetry from A(SLq(2)) at a cubic root of unity
(SISSATrieste, November 1997)
Current Editorial Work
Journal of Geometry and Physics (Associate Editor and Member of the Editorial Board)
Journal of Noncommutative Geometry (Founding Editor and Member of the Editorial Board)
Letters in Mathematical Physics (Member of the Editorial Board)
Symmetry, Integrability and Geometry: Methods and Applicazions (Member of the Editorial Board)
Rendiconti dell'Istituto di Matematica dell'Universita` di Trieste (Member of the Editorial Board)
Quondam Editorial Work
International Journal of Geometric Methods in Modern Physics (Founding Editor, Member of the Editorial Board; September 2003  September 2013)
Advances in Mathematical Physics (Founding Editor, Member of the Editorial Board; June 2008  December 2013)
Teaching/Didattica
Ricevimento studenti: sempre (per appuntamento) email
Corsi:
a.a. 20152016:
Meccanica Analitica (secondo semestre LT matematica):
tutte le informazioni sono qui;
Fisica Matematica 1 (secondo semestre LM matematica):
tutte le informazioni sono qui.
Gli studenti interessati al corso di FM1 possono trovare utile seguire al primo semestre il corso di Geometria Differenziale 1 del prof. Boris Dubrovin.
a.a. 20142015:
Geometria (primo semestre LT ingegneria):
tutte le informazioni sono qui;
in particolare il programma e le dispense sono qui mentre le date degli appelli sono qui.
Fisica Matematica 1 (secondo semestre LM matematica):
tutte le informazioni sono qui.