  We discuss the recently observed excess of high Q2 neutral current deep
inelastic scattering events at HERA in the light of supersymmetry with broken
R-parity. We find more than one possible solution. We consider the
possibilities for testing these hypotheses at HERA, the TEVATRON and at LEP.
One lepton-number violating operator can account for both the HERA data and the
four-jet anomaly seen by ALEPH at LEP.
