  We present a Roche tomography reconstruction of the secondary star in the
cataclysmic variable AE Aqr. The tomogram reveals several surface
inhomogeneities that are due to the presence of large, cool starspots. In
addition to a number of lower-latitude spots, the maps also show the presence
of a large high latitude spot similar to that seen in Doppler images of
rapidly-rotating isolated stars, and a relative paucity of spots at a latitude
of 40 degrees. In total, we estimate that some 18 per cent of the Northern
hemisphere of AE Aqr is spotted.
  We have also applied the entropy landscape technique to determine accurate
parameters for the binary system. We obtain optimal masses of M_1 = 0.74 solar
masses, M_2 = 0.50 solar masses, a systemic velocity = -63 km/s and an orbital
inclination of i = 66 degrees.
  Given that this is the first study to successfully image starspots on the
secondary star in a cataclysmic variable, we discuss the role that further
studies of this kind may play in our understanding of these binaries.
