Supersymmetric Inflation, Baryogenesis and \nu_{\mu} - \nu_{\tau} Oscillations

In a supersymmetric left-right symmetric model, inflation, baryogenesis (via leptogenesis) and neutrino oscillations can become closely linked. A familiar ansatz for the neutrino Dirac masses and mixing of the two heaviest families, together with the MSW resolution of the solar neutrino puzzle, imply that 1 eV <_\sim m_{\nu _{\tau }<_\sim 9 eV. The predicted range for the mixing angle \theta _\mu \tau will be partially tested by the Chorus/Nomad experiment. The CP violating phase \delta _{\mu \tau } is also discussed.