Moretti's official page

Generally speaking I may say that my interests concern Modern Mathematical Physics. In particular I deal with several mathematical and physical aspects of the following fields.

Quantum Mechanics and its Mathematical Formulation
General Relativity.
(Algebraic and Axiomatic Theories of) Relativistic Quantized Fields.

In particular:

Axiomatic, algebraic and local aspects of QFT in (generally curved) Lorentzian/Euclidean background;
QFT in the presence of black holes also at finite temperature;
QFT in cosmological models;
QFT in the presence of conformal invarianc (CFT) ;
Some aspects of the so-called "Quantum Gravity".

I am the author of a book on operator theory and mathematical foundations of quantum mechanics published by Springer-Verlag (for the moment in Italian)
In the past I gave several contributions to the theory of analytical renormalization procedure (heat-kernel and zeta spectral function applications in QFT, look at this book I wrote in collaboration). I was also concerned with some aspects of Lorentzian noncommutative geometry.

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.

Scientific Interests