[math-fun] The spatial universe is finite !!!???

I just heard a report on an NPR station -- it was probably BBC news -- in which freelance mathematician Jeff Weeks (who wrote the book "The Shape of Space") was being interviewed after he had announced that the spatial universe is finite. There was not enough time allotted for him to give even a brief layperson's sketch of his reasoning. But it seemed to have something to do with the fluctuations in the background radiation from the Big Bang having bounded wavelengths. Does anyone know more about this research? Or where it might be written up? --Dan