I work in statistical mechanics and network theory and I enjoy combining statistical mechanics with
graph theory, topology, and other mathematical subjects to study the network complexity.
The field has a rich interdisciplinary character since complex networks describe
the interactions of a large variety of complex systems, from the Internet to
the brain, the climate and social networks.
My main focus in on the theory of networks, but am also very interested in applications ranging from biological networksto social networks.
In am expert in network modelling and for this I use both equilibrium and non-equilibrium statistical mechanics approaches.
I am widely known for the
BIANCONI-BARABASI MODEL and the discovery of the
BOSE-EINSTEIN CONDENSATION IN NETWORKS.
Recently I extended these results investigating
SIMPLICIAL MODELS FOR EMERGENT GEOMETRY.
I also was the first, together with K. Anand, to formulate the statistical mechanics of networks
distinguishing between
MICROCANONICAL AND CANONICAL ENSEMBLES and revealing their
NON-EQUIVALENCE.
I am also an expert in
CRITICAL CLASSICAL AND QUANTUM PHENOMENA ON NETWORKS,
in particular focusing on percolation and the Ising model on single and on multilayer networks.
Currently my research focuses on generalized network structures including multilayer and higher-order networks (simplicial complexes).
I wrote two single author books on multilayer and higher-order networks.
One highlight and focus on my current research activity is the discovery of
COLLECTIVE PHENOMENA OF TOPOLOGICAL SIGNALS.
This is an exiting new area which combines non-linear dynamics, topology and network theory that can be transformative of our way to
understand complex system dynamics.
Other areas in my research include:
SUBGRAPHS: LOOPS AND CLIQUES IN NETWORK MODELS
NETWORK ENTROPY
INFERENCE PROBLEMS IN NETWORKS
BIOLOGICAL NETWORKS AND NEUROSCIENCE