This is an announcement for the paper “Some geometric properties of Read's space” by Vladimir Kadets<https://arxiv.org/find/math/1/au:+Kadets_V/0/1/0/all/0/1>, Gines Lopez<https://arxiv.org/find/math/1/au:+Lopez_G/0/1/0/all/0/1>, Miguel Martin<https://arxiv.org/find/math/1/au:+Martin_M/0/1/0/all/0/1>. Abstract: We study geometric properties of the Banach space $\mathcal{R}$ constructed recently by C.\ Read (arXiv 1307.7958<https://arxiv.org/abs/1307.7958>) which does not contain proximinal subspaces of finite codimension greater than or equal to two. Concretely, we show that the bidual of $\mathcal{R}$ is strictly convex and that $\mathcal{R}$ is weakly locally uniformly rotund (but it is not locally uniformly rotund). Apart of the own interest of the results, they provide a simplification of the proof by M.\ Rmoutil (J.\ Funct.\ Anal.\ 272 (2017), 918--928) that the set of norm-attaining functionals over $\mathcal{R}$ does not contain any linear subspace of dimension greater than or equal to two. Besides, this provides positive answer to the questions of whether the dual of $\mathcal{R}$ is smooth and that whether $\mathcal{R}$ is weakly locally uniformly rotund (Rmoutil, J.\ Funct.\ Anal.\ 272 (2017), 918--928). Finally, we present a renorming of Read's space which is smooth, whose dual is smooth, and which does not contain proximinal subspaces of finite codimension greater than or equal to two and such that its set of norm-attaining functionals does not contain any linear subspace of dimension greater than of equal to two. The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1704.00791