%0 Journal Article %T The Leech lattice and other lattices %A R. E. Borcherds %J Mathematics %D 1999 %I arXiv %X This is an unpublished manuscript written in 1983-4. It contains several results about lattices (=integral quadratic forms) including the classification of the unimodular lattices in dimensions up to 25 and the construction of unimodular lattices with no roots in dimensions 26 and 27. %U http://arxiv.org/abs/math/9911195v1