4 papers
Forbidden multipliers in abelian difference sets
Niklas Miller
We make the observation that certain group automorphisms that fix a large subgroup of an abelian group cannot be multipliers in any non-trivial abelian difference sets, with the si…
On the kissing number of the cross-polytope
Niklas Miller
A new upper bound for the translative kissing number of the -dimensional cross-polytope is proved, improving on Hadwiger's bound $κ_T(K…
On the singularity probability of random circulant Bernoulli matrices
Niklas Miller
A complete characterization of the asymptotic singularity probability of random circulant Bernoulli matrices is given for all values of the probability parameter.
Dense generic well-rounded lattices
Camilla Hollanti, Guillermo Mantilla-Soler, Niklas Miller
It is well-known that the densest lattice sphere packings also typically have large kissing numbers. The sphere packing density maximization problem is known to have a solution amo…