293 citations · 294 across the 6 of their papers we have counts for
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The stealthiest particle configurations in 8 and 24 dimensions
Alex Cohen, Henry Cohn, Maryna Viazovska
We show that the and Leech lattices generate the stealthiest isometry-invariant, locally square-integrable point processes of intensity in and $\mathbb{R}^…
Variations on five-dimensional sphere packings
Henry Cohn, Isaac Rajagopal
We analyze Szöllősi's recent construction of a conjecturally optimal five-dimensional kissing configuration and produce a new such configuration, the fourth to be discovered. We co…
Improved kissing numbers in seventeen through twenty-one dimensions
Henry Cohn, Anqi Li
We prove that the kissing numbers in 17, 18, 19, 20, and 21 dimensions are at least 5730, 7654, 11692, 19448, and 29768, respectively. The previous records were set by Leech in 196…
From sphere packing to Fourier interpolation
Henry Cohn
Viazovska's solution of the sphere packing problem in eight dimensions is based on a remarkable construction of certain special functions using modular forms. Great mathematics has…
Optimality of spherical codes via exact semidefinite programming bounds
Henry Cohn, David de Laat, Nando Leijenhorst
We show that the spectral embeddings of all known triangle-free strongly regular graphs are optimal spherical codes (the new cases are points in dimensions, points i…