Generally speaking I may say
that my interests concern Modern Mathematical
Physics. In particular I deal with several
mathematical and physical aspects of Quantum Theories and their
Mathematical Formulation including Algebraic and Axiomatic Theories of Relativistic
Quantized Fields. Here is a list of topics I have treated.
Here is another book by Springer-Verlag about QFT in curved spacetime in collaboration with C.Dappiaggi and N.Pinamonti. Another more recent book I authored still concerning mathematical foundations of Quantum Theories and some general issues like Bell inequality and similar is here. This book reflects my recent lectures on the subject for a Master course at the University of Trento. Another book, a tutorial on quantum theories from quantim mechanics to QFT, in collaboration with M.Asorey and E.Ercolessi I participate in the international forum LQP Crossroads |
From a mathematical point of view, this means that I am intersted in several applications of functional analysis (especially topics in the theory of operator algebras and C* algebras), global analysis (i.e. functional analysis on Riemannian and Lorentzian manifolds, using the intrinsic geometrical structure), microlocal analysis, differential geometry |