# The densest lattice in twenty-four dimensions

@article{Cohn2004TheDL, title={The densest lattice in twenty-four dimensions}, author={Henry Cohn and Abhinav Kumar}, journal={Electronic Research Announcements of The American Mathematical Society}, year={2004}, volume={10}, pages={58-67} }

In this research announcement we outline the methods used in our recent proof that the Leech lattice is the unique densest lattice in R^24. Complete details will appear elsewhere, but here we illustrate our techniques by applying them to the case of lattice packings in R^2, and we discuss the obstacles that arise in higher dimensions.

## 47 Citations

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