Fernando Diaz-Diaz
Assistant Professor, Department of Applied Mathematics, University Carlos III of Madrid (UC3M); Grupo Interdisciplinar de Sistemas Complejos (GISC), UC3M (Madrid)
Fernando Diaz-Diaz
Assistant Professor, Department of Applied Mathematics, University Carlos III of Madrid (UC3M); Grupo Interdisciplinar de Sistemas Complejos (GISC), UC3M (Madrid)
About me
Hi! I am an applied mathematician working at the intersection of spectral graph theory, network science, and complex systems. I am particularly interested in the mathematical analysis of signed networks—networks whose links can be positive or negative—and how these structures shape dynamics and organization in real-world systems. I recently completed my PhD at IFISC, and I now hold an assistant professor position at the University Carlos III of Madrid. My research combines discrete mathematics, linear algebra, and statistical methods, and has led to collaborations across Europe, including a research stay at the University of Oxford.
Research
My work focuses on the structure and dynamics of networks with both competitive and antagonistic interactions. I study the emergent properties that arise due to negative edges, like structural balance, faction structure, or polarization. I am also interested in bridging purely mathematical results with applications. For instance, I have analyzed the unique properties of international relations networks, social media, and financial systems. I am also interested in broader questions about the geometry and inference of networked systems, especially when the presence of inhibition, disagreement, or competition plays a central role.
News
01/09/2025: I started as Assistant Professor in the Department of Applied Mathematics, Universidad Carlos III de Madrid (UC3M).
18/06/2025–20/06/2025: I will be attending the Spanish National Conference on Statistical Physics (FisEs) in Santiago de Compostela.
03/06/2025: Our paper “Global balance and systemic risk in financial correlation networks,” co-authored with Paolo Bartesaghi, Rossana Grassi, and Pierpaolo Uberti, has been published in Physica A.