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Henry Cohn
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Data

  • Upper and lower bounds for the sphere packing density in dimensions 1 through 48 and 56, 64, and 72.
  • Upper and lower bounds for the kissing numbers in dimensions 1 through 48 and 72.
  • Spherical codes with up to 1024 points in up to 32 dimensions.
  • A smaller table of spherical codes with up to 32 points, as well as real projective codes with up to 16 lines.
  • Grassmannian codes in up to 16 dimensions.
  • Sloane’s tables of spherical point configurations (packings, coverings, designs, maximal volume arrangements, and minimal-energy hard-sphere clusters).
  • Upper bounds for the minimal harmonic energy of point configurations on spheres in 3 through 32 dimensions, as well as a list of highlights. This problem generalizes the Thomson problem of minimizing the electrostatic potential energy between point particles on a sphere.
  • The spinless modular bootstrap for free bosons, or equivalently the linear programming bound for the sphere packing density.
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