Fundamental Science for Society FS2

Mapping Complexity

By M. Ángeles Serrano and Marián Boguñá

Fundamental Science for Society FS2

Complex systems, such as societies, the Internet, the human brain, molecular networks within cells, international trade, and many others, are ubiquitous and around us. We are using networks to uncover the fundamental principles governing their structure, function, evolution, adaptability, and for modeling and predicting their behavior.

Ongoing Projects

We develop mathematical models and computational tools to investigate a wide variety of real complex systems, ranging from biological to economic and socio-technological systems. We characterize these systems using massive datasets.

The geometry of complexity

SD/HD+1 models · maps and embedding tools · navigability · multiscale · dimensionality · functional patterns

Networks at the Multiscale

Length scales and distances

renormalization · self-similarity · growth and evolution

Dynamics on and of Networks

The structure-function interplay

Turing patterns · epidemics · opinion formation · decision making · network evolution

Brain Networks

Multiscale features

connectomes · communication · navigability · multiscale

Networks in Cosmology

Discretizing spacetime

directed acyclic graphs · causal sets · Milne cosmology · de Sitter spacetime

Interpretability of Neural Networks

Opening the black box

graph neural networks · feature-enriched network geometry


Group Leaders

Postdoctoral Researchers and PhD Students

Master and Undergraduate Students


M. Ángeles Serrano, +34934021153
Office 4.06

Marián Boguñá, +34934039211
Office 4.16

Department of Condensed Matter Physics
Faculty of Physics, University of Barcelona

Martí i Franquès, 1 – 08028 Barcelona, Spain