We are a team of scientists specialised in the application of mathematical models to the legal world. From the intricacies of legal corpuses to the functioning of democracy – the legal world is by its nature complex. We believe that mathematical tools rooted in complexity science will deepen our understanding of this fascinating world and help to solve one the most pressing societal issues of our time.
Pierpaolo is a Reader in Disordered Systems in the Department of >Mathematics and has joined King’s College London in 2014. He is a statistical physicist interested in the application of mathematical methods to real-life problems. His long-time goal is to measure and tame the complexity of the UK legal system advocating a new digital, network-based approach to the visualisation and quantitative analysis of legal provisions. His research is supported by a UKRI Future Leaders Fellowship.
Alessia joined the Disordered Systems and Neural Networks group as a Lecturer in the Department of Mathematics, King’s College London, in September 2007, after completing her PhD at King’s. She brings to the team her expertise on network theory and non-equilibrium dynamics and her passion for understanding and modelling real-world complex systems. Alessia is now Senior Lecturer in Disordered Systems.
Giovanni joined the group as a postdoc in January 2025. He holds a PhD in Physics from EPFL where he conducted research on statistical physics models, high dimensional inference, and machine learning. Currently, Giovanni's research focuses on applying machine learning and statistics techniques to legal big data. He also works on game theoretic models for information pricing.
Pasquale joined the group as a PhD student in February 2025. He holds a B.Sc. in Physics from the University of Salerno and a Master’s degree in Physics from the University of Rome, La Sapienza. Currently, he is a postgraduate researcher at King’s College London in the Department of Mathematics, working under the supervision of Professor Pierpaolo Vivo. His research interests lie in complex systems, with a focus on legal complexity and game theoretic models for information pricing.
Data is a central commodity in the digital economy, yet principles to price it are lacking. We use game theory and probability to investigate the fair price of data.
Which factors influence the structural complexity of a corpus of laws, and how can we measure it? Algorithmic information theory applied to legal networks holds the key…
What is the optimal size of a parliament? What factors affect parliamentary efficiency? We apply tools from network theory and complexity science to unravel the emerging dynamics of representative democracy.
We investigate how parties decide between taking legal action and settling a dispute. We also try to understand the role that precedents and structural features of the judiciary system play in the world of litigation.
Dept. of Mathematics King's College
London Strand London WC2R 2LS
United Kingdom
+44 020 7848 2864
info@quantlaw.co.uk