2 citations · 3 across the 2 of their papers we have counts for
2 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…