Our papers are the official record of our discoveries. They allow others to build on and apply our work. Each paper is the result of many months of research, so we make a special effort to make them clear, beautiful and inspirational, and publish them in leading journals.
Groethendieck's “children’s drawings”, a type of bipartite graph, link number theory, geometry, and the physics of conformal field theory.
A phase transition creates the geometry of the continuum from discrete space, but it needs disorder if it is to have the right metric.
In an infinitely bouncing Universe, the scalar field driving the cosmological expansion and contraction carries information between phases.
Analysis of the hyperbolicity of real-world networks distinguishes between those which are aristocratic and those which are democratic.