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.

  • Hilbert series, machine learning, and applications to physics

    JBJ. BaoYHY. HeEHE. HirstJHA.... Physics Letters B

    Machine learning Hilbert series

    Neural networks find efficient ways to compute the Hilbert series, an important counting function in algebraic geometry and gauge theory.

  • Machine learning Calabi-Yau hypersurfaces

    DSYHY. HeEHE. Hirst Physical Review D

    Calabi-Yau anomalies

    Unsupervised machine-learning of the Hodge numbers of Calabi-Yau hypersurfaces detects new patterns with an unexpected linear dependence.

  • 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.