This is an announcement for the paper "On the smallest L_2 projection of a curve in R^n" by Mark Kozdoba. Abstract: For a curve T:[0,1] -> R^n, we consider the directions theta in R^n which T "misses" the most and quantify this, as a function of the L_2 norm of T's differential. Archive classification: math.FA The source file(s), curvL2arch.tex: 21640 bytes, is(are) stored in gzipped form as 0912.5323.gz with size 8kb. The corresponding postcript file has gzipped size 79kb. Submitted from: marikk@tx.technion.ac.il The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0912.5323 or http://arXiv.org/abs/0912.5323 or by email in unzipped form by transmitting an empty message with subject line uget 0912.5323 or in gzipped form by using subject line get 0912.5323 to: math@arXiv.org.