1. Mathieu Dutour Sikirić, Achill Schürmann, and Frank Vallentin, A generalization of Voronoi's reduction theory and its application, Duke Math. J. 142 (2008), no. 1, 127–164.[MR/arXiv]
  2. Jacques Martinet and Achill Schürmann, On classifying Minkowskian sublattices, preprint (2009), 29 pages.[arXiv]
  3. Achill Schürmann, Enumerating perfect forms, Proceedings of the International Conference on Quadratic Forms, Chile 2007, Contemporary Mathematics, vol. To appear, 2009, 22 pages.[arXiv]
  4. Achill Schürmann, Perfect, strongly eutactic lattices are periodic extreme, Adv. Math 225 (2010), no. 5, 2546–2564.
  5. Achill Schürmann and Frank Vallentin, Local covering optimality of lattices: Leech lattice versus root lattice E8, Int. Math. Res. Not. (2005), no. 32, 1937–1955.[MR/arXiv]
  6. Achill Schürmann and Frank Vallentin, Computational approaches to lattice packing and covering problems, Discrete Comput. Geom. 35 (2006), no. 1, 73–116.[MR]
  7. Mathieu Dutour Sikirić, Achill Schürmann, and Frank Vallentin, Classification of eight-dimensional perfect forms, Electron. Res. Announc. Amer. Math. Soc. 13 (2007), 21–32 (electronic).[MR]