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sphere-packing-8-24
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Cohn and Elkies had reduced the problem to finding one special function. Viazovska built it from modular forms, and a week later the same idea settled dimension 24. She received the Fields Medal in 2022. The optimal packing in every other dimension above 3 is open.
Evidence tier V3 is the import default for a result the curation records as settled in the published record. No formal proof or certificate is attached to this page yet.
Closed 2016, Maryna Viazovska; dimension 24 with Cohn, Kumar, Miller and Radchenko.