High Q2-anomaly at HERA and supersymmetry

We discuss the recently observed excess of high lepton momentum transfer, 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