Giovanni Landi

Research

Scientific activity: ( noncommutative ) differential topology and geometry, Hopf algebras, quantum groups ...

Main lines of research:
noncommutative manifolds (construction of metric and spin structures, vector and principal bundles),
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),
noncommutative index theorems.

Publications

My book: An Introduction to Noncommutative Spaces and their Geometries
(send me an email if you need a free electronic copy)

My arXived papers (courtesy of arXiv)

A Subcollection of my papers as listed in SPIRES (courtesy of SLAC-SPIRES)


My coworkers

---

Editorial Work

Journal of Geometry and Physics (Associate Editor and Member of the Editorial Board)

Journal of Noncommutative Geometry (Member of the Editorial Board)

Letters in Mathematical Physics (Member of the Editorial Board)

Advances in Mathematical Physics (Member of the Editorial Board)

International Journal of Geometric Methods in Modern Physics (Member of the Editorial Board)

---

PhD Students

Lucio Cirio : Symmetries of noncommutative spaces and equivariant cohomology
(SISSA-Trieste, October 2008)

Francesco D'Andrea : Noncommutative geometry and quantum group symmetries
(SISSA-Trieste, October 2007)

Chiara Pagani : Quantum principal bundles and instantons
(SISSA-Trieste, November 2005)

Walter D. van Suijlekom : The geometry of noncommutative spheres and their symmetries
(SISSA-Trieste, October 2005)

Pasquale Siniscalco : A finite quantum symmetry from A(SLq(2)) at a cubic root of unity
(SISSA-Trieste, November 1997)

---

Teaching/Didattica

a.a. 2009-2010:
Geometria (primo semestre ingegneria)