18 citations · 27 across the 10 of their papers we have counts for
11 papers
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…
Packable hyperbolic surfaces with symmetries
Maria Dostert, Alexander Kolpakov
We discuss several ways of packing a hyperbolic surface with circles (of either varying radii or all being congruent) or horocycles, and note down some observations related to thei…
Semidefinite programming bounds for the average kissing number
Maria Dostert, Alexander Kolpakov, Fernando Mário de Oliveira Filho
The average kissing number of is the supremum of the average degrees of contact graphs of packings of finitely many balls (of any radii) in . We provid…
Kissing number in non-Euclidean spaces of constant sectional curvature
Maria Dostert, Alexander Kolpakov
This paper provides upper and lower bounds on the kissing number of congruent radius spheres in hyperbolic and spherical spaces, for …