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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  • Cluster algebras: network science and machine learning

    AI-assisted maths

    PDYHY. HeEHEH J Comput Algebra

    AI for cluster algebras

    Investigating cluster algebras through the lens of modern data science reveals an elegant symmetry in the quiver exchange graph embedding.

  • New Calabi-Yau manifolds from genetic algorithms

    Algebraic geometry

    PBYHY. HeEHEHVJ... Physics Letters B

    Genetic polytopes

    Genetic algorithms, which solve optimisation problems in a natural selection-inspired way, reveal previously unconstructed Calabi-Yau manifolds.

  • Mahler measuring the genetic code of amoebae

    Algebraic geometry

    SCYHY. HeEHANAZ In press Advances in Theoretical and Mathematical Physics

    Mahler measuring amoebae

    Genetic symbolic regression methods reveal the relationship between amoebae from tropical geometry and the Mahler measure from number theory.

  • Clustering cluster algebras with clusters

    AI-assisted maths

    MCPDYHY. HeEHEH... In press Advances in Theoretical and Mathematical Physics

    Clustered cluster algebras

    Cluster variables in Grassmannian cluster algebras can be classified with HPC by applying the tableaux method up to a fixed number of columns.

  • Machine learning

    Journal of Symbolic Computation

    Neurons on amoebae

    Machine-learning 2-dimensional amoeba in algebraic geometry and string theory is able to recover the complicated conditions from so-called lopsidedness.