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.

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  • A note on quiver Yangians and ℛ-matrices

    Journal of High Energy Physics

    Gauge theory and integrability

    The algebra of a toric quiver gauge theory recovers the Bethe ansatz, revealing the relation between gauge theories and integrable systems.

  • Hilbert series, machine learning, and applications to physics

    YHY. HeJHA.SM 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.

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

    OFYHY. HeJRYXFY 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.

  • On defining the Hamiltonian beyond quantum theory

    DBODO. DahlstenAG Foundations of Physics

    A Hamiltonian recipe

    An explicit recipe for defining the Hamiltonian in general probabilistic theories, which have the potential to generalise quantum theory.

  • Physical Review E

    One-shot statistic

    One-shot analogs of fluctuation-theorem results help unify these two approaches for small-scale, nonequilibrium statistical physics.

  • npj Quantum Information

    Quantum neural networks

    We generalise neural networks into a quantum framework, demonstrating the possibility of quantum auto-encoders and teleportation.

  • Proceedings of the Royal Society A

    Quantum thermodynamics

    Spectroscopy experiments show that energy shifts due to photon emission from individual molecules satisfy a fundamental quantum relation.

  • New Journal of Physics

    Worst-case work entropic equality

    A new equality which depends on the maximum entropy describes the worst-case amount of work done by finite-dimensional quantum systems.

  • Arxiv

    Tunnelling interpreted

    In quantum tunnelling, a particle tunnels through a barrier that it classically could not surmount.

  • 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.

  • Physical Review Letters

    Photonic Maxwell's demon

    With inspiration from Maxwell’s classic thought experiment, it is possible to extract macroscopic work from microscopic measurements of photons.

  • New Journal of Physics

    A measure of majorization

    Single-shot information theory inspires a new formulation of statistical mechanics which measures the optimal guaranteed work of a system.

  • Journal of Physics A

    Entanglement typicality

    A review of the achievements concerning typical bipartite entanglement for random quantum states involving a large number of particles.