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.

  • Dessins d’enfants, Seiberg-Witten curves and conformal blocks

    JBJ. BaoOFYHY. HeEHE. HirstJR... Journal of High Energy Physics

    QFT and kids’ drawings

    Groethendieck's “children’s drawings”, a type of bipartite graph, link number theory, geometry, and the physics of conformal field theory.

  • Phase transition creates the geometry of the continuum from discrete space

    RFR. FarrTFT. Fink Physical Review E

    Geometry of discrete space

    A phase transition creates the geometry of the continuum from discrete space, but it needs disorder if it is to have the right metric.

  • Geometric phases and cyclic isotropic cosmologies

    LBFCF. Caravelli Classical and Quantum Gravity

    Cyclic isotropic cosmologies

    In an infinitely bouncing Universe, the scalar field driving the cosmological expansion and contraction carries information between phases.

  • Hyperbolicity measures democracy in real-world networks

    MBACGCG. Caldarelli Physical Review E

    Democracy in networks

    Analysis of the hyperbolicity of real-world networks distinguishes between those which are aristocratic and those which are democratic.