344 citations · 2.7k across the 49 of their papers we have counts for
56 papers
Sign uncertainty principles and low-degree polynomials
Henry Cohn, Dingding Dong, Felipe Gonçalves
We prove an asymptotically sharp version of the Bourgain-Clozel-Kahane and Cohn-Gonçalves sign uncertainty principles for polynomials of sublinear degree times a Gaussian, as the d…
The work of Maryna Viazovska
Henry Cohn
On July 5th, 2022, Maryna Viazovska was awarded a Fields Medal for her solution of the sphere packing problem in eight dimensions, as well as further contributions to related extre…
Three-point bounds for sphere packing
Henry Cohn, David de Laat, Andrew Salmon
We define three-point bounds for sphere packing that refine the linear programming bound, and we compute these bounds numerically using semidefinite programming by choosing a trunc…
Matrix multiplication via matrix groups
Jonah Blasiak, Henry Cohn, Joshua A. Grochow +2
In 2003, Cohn and Umans proposed a group-theoretic approach to bounding the exponent of matrix multiplication. Previous work within this approach ruled out certain families of grou…
Sphere packing bounds via rescaling
Henry Cohn, Andrew Salmon
We study the relationship between local and global density for sphere packings, and in particular the convergence of packing densities in large, compact regions to the Euclidean li…
Free partition functions and an averaged holographic duality
Nima Afkhami-Jeddi, Henry Cohn, Thomas Hartman +1
We study the torus partition functions of free bosonic CFTs in two dimensions. Integrating over Narain moduli defines an ensemble-averaged free CFT. We calculate the averaged parti…