All of our research is fundamental, as opposed to applied, and theoretical, as opposed to experimental or computational. Our research activity falls into four main themes: the elegant universe; life, learning and emergence; mathematics that unifies; and AI-assisted discovery.

  • The elegant universe

    The elegant universe

    Tackling big questions about the fundamental forces, symmetry and information, and the intimate interplay between physics and mathematics.

  • Life, learning and emergence

    Life, learning and emergence

    Developing mathematical foundations for life and artificial life, machine intelligence, and other emergent phenomena that defy reductionism.

  • Mathematics that unifies

    Mathematics that unifies

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

  • AI-assisted discovery

    Shaping the partnership between human and machine intelligence to extend the reach of theoretical physics and mathematics.