Mathematical optimization for packing problems
  During the last few years several new results on packing problems were obtained using a blend of tools from semidefinite optimization, polynomial optimization, and harmonic analysis. We survey some of these results and the techniques involved, concentrating on geometric packing problems such as the sphere-packing problem or the problem of packing regular tetrahedra in R^3. 
Fernando M\'ario de Oliveira Filho and Frank Vallentin
math.OC math.CO math.MG