A Breakthrough in Sphere Packing: The Search for Magic Functions

David de Laat; Frank Vallentin

A Breakthrough in Sphere Packing: The Search for Magic Functions

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arxiv 1607.02111 v1 pith:PGWP24EL submitted 2016-07-07 math.MG

A Breakthrough in Sphere Packing: The Search for Magic Functions

David de Laat , Frank Vallentin This is my paper

classification math.MG

keywords breakthroughsphereabhinavarchiefcohnexpositionfunctionshenry

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This paper is an exposition, written for the Nieuw Archief voor Wiskunde, about the two recent breakthrough results in the theory of sphere packings. It includes an interview with Henry Cohn, Abhinav Kumar, Stephen D. Miller, and Maryna Viazovska.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

Cusp Form Dimensions, Lattice Uniqueness, and LP Sharpness for Sphere Packing in Dimensions 8 and 24
math.CO 2026-04 unverdicted novelty 7.0

Three independent conditions on cusp forms, dual LP obstructions, and extremal CFTs are conjectured to be equivalent for d ≡ 0 mod 8 and together explain LP sharpness exclusively in dimensions 8 and 24.