13 citations · 16 across the 3 of their papers we have counts for
3 papers
math.MG2022★ 2 cited
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…
math.NT2021★ 1 cited
Non-planarity of Markoff graphs mod p
Matthew de Courcy-Ireland
We prove the non-planarity of a family of 3-regular graphs constructed from the solutions to the Markoff equation modulo prime numbers greater than 7. The proof u…
math.MG2016★ 13 cited
The Gaussian core model in high dimensions
Henry Cohn, Matthew de Courcy-Ireland
We prove lower bounds for energy in the Gaussian core model, in which point particles interact via a Gaussian potential. Under the potential function with $0…