18 citations · 27 across the 10 of their papers we have counts for
3 papers · 1 filter
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…
Riesz and Green energy on projective spaces
Austin Anderson, Maria Dostert, Peter J. Grabner +2
In this paper we study Riesz, Green and logarithmic energy on two-point homogeneous spaces. More precisely we consider the real, the complex, the quaternionic and the Cayley projec…
Learning polytopes with fixed facet directions
Maria Dostert, Katharina Jochemko
We consider the task of reconstructing polytopes with fixed facet directions from finitely many support function evaluations. We show that for a fixed simplicial normal fan the lea…