The microlensing signatures of starspots
  Point lens microlensing events with impact parameter close to the source stellar radius allow the observer to study the surface brightness profile of the lensed source. We have examined the effect of photospheric star spots on multicolour microlensing lightcurves and investigated the detectability of such spots in different wavebands as a function of spot temperature, position, radius and lens trajectories. We include the effect of limb darkening and spot projection as a function of position on the stellar disc. In particular we apply the updated, state-of-the-art NEXTGEN stellar atmosphere models of Hauschildt et al which predict very strong limb darkening and which are likely to be applicable to the source stars considered here. Our results indicate that star spots generally give a clear signature for transit events. Moreover, this signature is strongly suppressed by limb darkening for spots close to the limb, although the spots may still be clearly detected for favourable lens trajectories. It is also clear that intensive temporal sampling throughout the duration of the transit is necessary in order for such events to be effective as a tool for imaging stellar photospheres. Nonetheless, with sufficiently well sampled light curves of good photometric precision, microlensing can indeed place useful constraints on the presence or otherwise of photospheric starspots. 
M.A. Hendry, H.M. Bryce and D. Valls-Gabaud