My current research interests are in complex systems and sensing, in particular how to build, represent, and analyse them mathematically and how to simulate them computationally.

The representations I’m currently interested in most use network science to study how processes operate over complex networks. However, many processes can’t be represented efficiently like this, and I’m really interested in exploring some higher-order approaches such as simplicial topology, discrete calculus, differential geometry, and discrete sheaves.

But I’m mainly a computer scientist, which makes me mainly a tool-builder, and so the challenge of these problems for me is how to represent and manipulate them efficiently and at scale. This has resulted in my creating and maintaining several software libraries to explore simulation and analysis.

I’ve worked on lots of other topics in the past, and several large projects.

• Berné Nortier: Complex systems and data analytics

See also my former students and collaborators.

• Publications
• Publications by year

My recent book, Epidemic modelling: Some notes, maths, and code, is available to buy or to read for free online.