A theoretical physicist and mathematician, he has always focused his research mainly on fundamental topics: in the classical domain from nonlinear dynamical systems (deterministic chaos) to statistical mechanics (exact models), in the quantum domain from quantization methods (vortices) to the structure of quantum mechanics (noncommutative algebras, groups, topology). In the applied field he has worked in solid-state physics (superconductivity, magnetism, quantum optics), quantum information theory and computation (quantum algorithms, relations to general relativity and noncommutative geometry). More recently, he has made relevant contributions to data science (topological data analysis, data field theory) and artificial intelligence (decidability, causation, learnability). Over 300 publications, over 32000 citations.
BSc in Nuclear Engineering (PoliTO) and Mathematics (UniTO), PhD in theoretical physics (CTH Gothenburg); spent over fifteen years in the US (IAS Princeton, Los Alamos, CTS Coral Gables, RIM Berkeley, NYU New York), UK (Oxford), Sweden (CTH) and France (ENS Paris). Advisor to the European Commission (FET, Flagships, ERC). In Italy, Full Professor (now Emeritus) of Theoretical Physics at the Polytechnic University of Turin, where he founded and directed the Doctoral School; former president of the National Group of Structure of Matter of the CNR; founded and chaired the ISI Foundation; established CENTAI, of which he is Chairman of the Scientific Council.