The NPLab investigates the role of topology and geometry in the collective dynamics of complex systems, ranging from neuroscience to society. We do this with statistical mechanics, algebraic topology, snark, and cyberpunk.
16researchers
72papers
14open tools
20alumni
Research themes and projects
Topological Neuroscience
We study when brain activity is better described by interactions among groups of regions than by pairs, and…
Cognitive and NeuroAI
We study how the organization of representations shapes learning, generalization, and the ability to perform…
Network Foundations
We develop mathematical tools to understand how network structure shapes dynamics, across interaction orders…
Project CETI
We study how sperm-whale vocal communication relates to social interaction, coordination, and foraging,…
RUNES
RUNES asks how interactions among groups shape information processing and collective behavior, and how those…
Latest
-
Curse of generalization paper accepted at Psychological Review!
Marco's paper Capacity Limits in Cognitive Processing Reflect the Curse of Generalization, with Steven Frankland, Raja Marjieh, Jonathan Cohen and…Marco's paper Capacity Limits in Cognitive Processing Reflect the Curse of Generalization, with Steven Frankland, Raja Marjieh, Jonathan Cohen and colleagues, has been accepted at Psychological Review! We argue that the strict limits on how much we can process at once, such as how many items we hold in working memory or how many tasks we do in parallel, are the price of representations that generalize well. Congratulations Marco!In the news archive -
NPL at NetSci-X 2027!
Raj and Xuan-Chen have contributions accepted at NetSci-X 2027, the International School and Conference on Network Science, in Hong Kong (January…Raj and Xuan-Chen have contributions accepted at NetSci-X 2027, the International School and Conference on Network Science, in Hong Kong (January 24–27).In the news archive -
Jesseba's paper accepted at NeurIPS 2026!
Jesseba's paper Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology, with Grigori Guitchounts, has been…Jesseba's paper Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology, with Grigori Guitchounts, has been accepted at NeurIPS 2026! Treating depth as time, it studies the residual stream of three production-scale LLMs as a dynamical system, linking the spectral geometry of its layer Jacobians to network topology.In the news archive -
Bernardo at Complex Networks 2026!
Bernardo's work on how coalition size shapes cosponsorship in the U.S. Congress has been accepted at Complex Networks 2026, the International…Bernardo's work on how coalition size shapes cosponsorship in the U.S. Congress has been accepted at Complex Networks 2026, the International Conference on Complex Networks and their Applications, in Granada (December 2–4).In the news archive
Join us
Open positions
None open right now
PhD students, visitors and collaborations: we are always glad to hear from you.
Recently closed: Postdoc in Topological Machine Learning and Generative AI (9 Sep 2026)
How to joinTools & data
Harmonic Degree
GitHub ↗Code for assessing network coarse-graining quality via harmonic morphisms and dynamical invariants.
Higher-Order Laplacian Renormalization
GitHub ↗Python code to perform higher-order Laplacian renormalization of higher-order networks.
Modelling TUS
GitHub ↗Python code to reproduce the computational model of transcranial ultrasound stimulation (TUS) at different stimulation intensities.
Social-Asocial Learning
GitHub ↗Code to reproduce the network analysis from 'Social and asocial learning in zebrafish'.
XGI
GitHub ↗CompleX Group Interactions: a Python package for higher-order networks, with hypergraphs and simplicial complexes.
Sperm Whale Foraging Tactics
GitHub ↗Code and derived data for the multiscale analysis of sperm-whale foraging: persistent search paths and flexible prey-capture tactics.