Mathematics that unifies

Understanding the relations between different branches of pure mathematics, and creating overarching theories that bind them together.

  • Machine learning the universe

    Learning the universe

    Using machine learning methods to search the vast space of Calabi-Yau manifolds for ones that predict the Standard Model from string theory.

  • Spectre of hypercubes

    Exploring the spectral properties of subgraphs of the hypercube and Hamming graphs for insights into coding theory and models of evolution.

  • Recursively divisible numbers

    Generalizing the divisor function to find a new kind of number that can be recursively divided into parts, for use in design and technology.