A conceptual breakthrough in sphere packing

By Henry Cohn. 2016

99 citations recorded by the source corpus.

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.

Subfields: Computational Theory and Mathematics, Industrial and Manufacturing Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/144bdf7e50fa5da8735fd098f4bd3b1b9319b97a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. F. Schlenk
2. Henry Cohn

In Industrial and Manufacturing Engineering

1. F. Schlenk

In Numerical Analysis

1. Danylo V. Radchenko
2. Henry Cohn
3. Maryna S. Viazovska
4. F. Schlenk
5. Abhinav Kumar
6. Stephen D. Miller
7. Salvatore Torquato
8. Frank Vallentin

Citations in the corpus

• Symplectic embedding problems, old and new (2017, background): “(A very readable account on this and packings of Rd in general is Cohn’s short survey in the Notices of the AMS [21].)”
• The sphere packing problem in dimension 24 (2016, background): “Aside from the trivial case of one dimension, the optimal density was previously known only in two [11], three [7], [8], and eight [12] dimensions, with the latter result being a recent breakthrough due to Viazovska; see [1], [9] for expositions.”