Title: On the spectrum bo \wedge tmf Author(s): Scott M. Bailey Author's e-mail address: bailey@math.rochester.edu AMS classification number: 55P10 (Primary) 55P42, 55Q51 (Secondary) Other useful information: arXiv:0903.0156 Abstract: M. Mahowald in his work on bo-resolutions, constructed a bo-module splitting of the spectrum bo ^ bo into a wedge of summands related to integral Brown-Gitler spectra. In this paper, a similar splitting of bo ^ tmf is constructed. This splitting is then used to understand the bo_*-algebra structure of bo_* tmf and allows for a description of bo^* tmf.