A conceptual breakthrough in sphere packing

@article{Cohn2016ACB,
  title={A conceptual breakthrough in sphere packing},
  author={Henry Cohn},
  journal={arXiv: Metric Geometry},
  year={2016}
}
  • Henry Cohn
  • Published 5 November 2016
  • Materials Science
  • arXiv: Metric Geometry
This expository paper describes Viazovska's breakthrough solution of the sphere packing problem in eight dimensions, as well as its extension to twenty-four dimensions by Cohn, Kumar, Miller, Radchenko, and Viazovska. 
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61 Citations
Background Citations
20
Methods Citations
3
Results Citations
1

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We give a unified description of the modular and quasi-modular functions used in Viazovska's proof of the best packing bounds in dimension 8 and the proof by Cohn, Kumar, Miller, Radchenko, and…
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References

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Building on Viazovska's recent solution of the sphere packing problem in eight dimensions, we prove that the Leech lattice is the densest packing of congruent spheres in twenty-four dimensions and…
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TLDR
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she announced her spectacular result in the paper titled ‘The sphere packing problem in dimension 8’ [10] on the arXiv-preprint server. Only one week later, on 21 March 2016, Henry Cohn, Abhinav…
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