Big Data Analytics The  accessibility to large quantities of data combined with the great storage capabilities and cutting-edge computational tools makes possible to investigate complex systems, such as financial markets, in a new quantitative manner. I am developing tools to extract meaningful information from very large complex datasets. 

Information Filtering I investigate new ways to filter information from complex data by constructing networks of dependency and causality relations that provide information about the collective behavior of the system, the heterogeneous distribution of response to external or internal changes and interrelation between the parts.

Scaling and Muliscaling I investigate the complexity of the evolution pattern of a variable in time extracting scaling laws which can provide information on the stability of the observed behavior and give insights on the future evolution.

Complexity I study how complexity can offer stability, robustness, adaptation and spontaneous organization to complex systems. Natural systems have long exploited complexity we are learning from the biological world how to integrate complexity in the design of new artificial systems.

Networks I explore novel methods to generate and characterize complex networks by means of their embedding on hyperbolic surfaces. This method provides a new perspective to network theory and opens no ways to use networks for the investigation of complex systems and financial markets.

Complex Matter I study how complexity manifest itself in the structure of real physical systems and why nature carefully selects only some realizations of randomness.