This is an announcement for the paper "A Banach space with a countable infinite number of complex structures" by Wilson Cuellar-Carrera. Abstract: We give examples of real Banach spaces with exactly infinite countably many complex structures and with $\omega_1$ many complex structures. Archive classification: math.FA Submitted from: cuellar@ime.usp.br The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1401.1781 or http://arXiv.org/abs/1401.1781