This is an announcement for the paper "Compression of uniform embeddings into Hilbert space" by N. Brodskiy and D. Sonkin. Abstract: If one tries to embed a metric space uniformly in Hilbert space, how close to quasi-isometric could the embedding be? We answer this question for finite dimensional CAT(0) cube complexes and for hyperbolic groups. In particular, we show that the Hilbert space compression of any hyperbolic group is 1. Archive classification: Group Theory; Functional Analysis; Geometric Topology Mathematics Subject Classification: 20F69; 20F65; 46C05 Remarks: 10 pages The source file(s), Uniform_Embeddings.tex: 27243 bytes, is(are) stored in gzipped form as 0509108.gz with size 9kb. The corresponding postcript file has gzipped size 50kb. Submitted from: brodskiy@math.utk.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.GR/0509108 or http://arXiv.org/abs/math.GR/0509108 or by email in unzipped form by transmitting an empty message with subject line uget 0509108 or in gzipped form by using subject line get 0509108 to: math@arXiv.org.