Keywords:
Quantum field theory
Geometrical aspects of field theory
String and (mem)brane theory
The research activity aims to the study of certain formal aspects
of string and membrane theory which can be reduced to problems of geometry and topology and
therefore can be dealt with advanced mathematical methods different from the traditional ones
of field theory. Quantization is implemented using advanced techniques such as the
Batalin-Vilkoviski algorithm in the geometrical formulation of Alexandrov-Kontsevich-Schwartz-Zaboronsky and functional integration. In particular, one studies
topological field theory and higher gauge theory, which are amenable by this approach. The research can be framed in the broader context of the solution of the problem of
quantization of gravity and unification of fundamental interactions.
