This is an announcement for the paper "Differentiability of Lipschitz functions in Lebesgue null sets" by David Preiss and Gareth Speight. Abstract: We show that if n>1 then there exists a Lebesgue null set in R^n containing a point of differentiability of each Lipschitz function mapping from R^n to R^(n-1); in combination with the work of others, this completes the investigation of when the classical Rademacher theorem admits a converse. Avoidance of sigma-porous sets, arising as irregular points of Lipschitz functions, plays a key role in the proof. Archive classification: math.FA math.CA Mathematics Subject Classification: 46G05, 46T20 Remarks: 33 pages Submitted from: G.Speight@Warwick.ac.uk The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1304.6916 or http://arXiv.org/abs/1304.6916