Scientific interests

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. I authored a book on the mathematical formulation of quantum mechanics (with an introduction to the algebraic formulation of quantum theories) published by Springer-Verlag (see  here). In the past, I gave several contributions to the theory of analytical (one-loop) renormalization procedure (heat-kernel and zeta spectral function applications in QFT): look at this book I wrote in collaboration, published by World Scientific. More recently I wrote with I.Khavkine a long review about general aspects of QFT in curved spacetime which appears a chapter of a book.
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.

 
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




    



My publication list  could help you focus on my research activity.

back to my webpage