293 citations · 1k across the 19 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}^…
Six-dimensional sphere packing and linear programming
Matthew de Courcy-Ireland, Maria Dostert, Maryna Viazovska
We prove that the Cohn-Elkies linear programming bound for sphere packing is not sharp in dimension 6. The proof uses duality and optimization over a space of modular forms, genera…
Universal optimality of the and Leech lattices and interpolation formulas
Henry Cohn, Abhinav Kumar, Stephen D. Miller +2
We prove that the root lattice and the Leech lattice are universally optimal among point configurations in Euclidean spaces of dimensions and , respectively. In other…
Well separated spherical designs
Andriy Bondarenko, Danylo Radchenko, Maryna Viazovska
For each we prove the existence of a well separated spherical -design in the sphere consisting of points, where is a constant depending only on …
Optimal asymptotic bounds for spherical designs
Andriy Bondarenko, Danylo Radchenko, Maryna Viazovska
In this paper we prove the conjecture of Korevaar and Meyers: for each there exists a spherical -design in the sphere consisting of points, where i…