293 citations · 1k across the 19 of their papers we have counts for
23 papers
Evolving Towards Better Codes: LLM-Guided Search for High-Distance Binary Linear Codes
Amal Seddas, Vladyslav Shashkov, Maryna Viazovska +1
Evolutionary program search driven by large language models (LLMs) has produced record-breaking constructions for open problems in combinatorics and beyond. We apply this approach…
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}^…
Moments of the number of points in a bounded set for number field lattices
Nihar Gargava, Vlad Serban, Maryna Viazovska
We examine the moments of the number of lattice points in a fixed ball of volume for lattices in Euclidean space which are modules over the ring of integers of a number field $…
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…
Hyperbolic Fourier series
Andrew Bakan, Haakan Hedenmalm, Alfonso Montes-Rodriguez +2
In this article we explain the essence of the interrelation described in [PNAS 118, 15 (2021)] on how to write explicit interpolation formula for solutions of the Klein-Gordon equa…
Fourier uniqueness in
Andrew Bakan, Haakan Hedenmalm, Alfonso Montes-Rodriguez +2
We show an interrelation between the uniqueness aspect of the recent Fourier interpolation formula of Radchenko and Viazovska and the Heisenberg uniqueness study for the Klein-Gord…