Generally speaking I may say that my interests concern Modern Mathematical Physics. In particular I deal with several foundational aspects of Quantum Theories and their Mathematical Formulation including Algebraic and Axiomatic Theories of Relativistic Quantized Fields also in curved spacetime.
From a mathematical point of view, this means that I'm interested 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.
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. Another book, a tutorial on quantum theories from quantim mechanics to QFT, in collaboration with M.Asorey and E.Ercolessi
My publication list could help you focus on my research activity.