The main area of research is on non-perturbative quantum field theory and applications to statistical mechanics and condensed matter physics. Field theory provides a natural framework to understand universal features of strongly interacting systems, thanks to ideas of scaling and renormalisation group.
Powerful and elegant techniques are provided by conformal and integrable field theory which lead, in particular, to exact results in one-dimensional quantum systems and many classical two-dimensional systems. These methods are applicable to interesting problems arising in theoretical physics but, more important, to experimentally-realizable low-dimensional quantum systems -- such as cold atoms, spin chains or anyon particles -- which present a remarkable and unusual behavior with respect to the familiar three-dimensional quantum systems. Integrability also plays a fundamental role in understanding special features of quantum systems out of equilibrium.
Following the links below, one can find some short notes on the topics of major interest. However, thoroughness is far from being achieved.
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