  The inclusive e^-p single and double differential cross sections for neutral
and charged current processes are measured with the H1 detector at HERA, in the
range of four-momentum transfer squared Q^2 between 150 and 30000 GeV^2, and
Bjorken x between 0.002 and 0.65. The data were taken in 1998 and 1999 with a
centre-of-mass energy of 320 GeV and correspond to an integrated luminosity of
16.4 pb^(-1). The data are compared with recent measurements of the inclusive
neutral and charged current e^+p cross sections. For Q^2>1000 GeV^2 clear
evidence is observed for an asymmetry between e^+p and e^-p neutral current
scattering and the generalised structure function xF_3 is extracted for the
first time at HERA. A fit to the charged current data is used to extract a
value for the W boson propagator mass. The data are found to be in good
agreement with Standard Model predictions.
