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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  • Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces

    Algebraic geometry

    AAYHY. HeEHBA Journal of High Energy Physics

    Bundled Laplacians

    By approximating the basis of eigenfunctions, we computationally determine the harmonic modes of bundle-valued Laplacians on Calabi-Yau manifolds.

  • Gravitational partial-wave absorption from scattering amplitudes

    General relativity

    RAAOA. Ochirov Submitted

    Absorption with amplitudes

    How gravitational waves are absorbed by a black hole is understood, for the first time, through effective on-shell scattering amplitudes.

  • Peculiarities of beta functions in sigma models

    quantum field theory

    OGO. GamayunALMS Submitted

    Peculiar betas

    The beta function for a class of sigma models is not found to be geometric, but rather has an elegant form in the context of algebraic data.

  • A note on quiver Yangians and ℛ-matrices

    String theory

    JB 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.

  • String theory

    Journal of High Energy Physics

    Algebra of melting crystals

    Certain states in quantum field theories are described by the geometry and algebra of melting crystals via properties of partition functions.

  • String theory

    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.