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We present searches for the leptonic decays B+ -> l+ nu and the lepton flavorviolating decays B0 -> l+ tau-, where l=e,mu, with data collected by the BaBarexperiment at SLAC. This search demonstrates a novel technique in which wefully reconstruct the accompanying Bbar in Upsilon(4S)->BBbar events, and lookfor a monoenergetic lepton from the signal B decay. The signal yield isextracted from a fit to the signal lepton candidate momentum distribution inthe signal B rest frame. Using a data sample of approximately 378 million BBbarpairs (342fb-1), we find no evidence of signal in any of the decay modes.Branching fraction upper limits of B(B+ -> e+ nu)<5.2x10^-6, B(B+ -> mu+nu)<5.6x10^-6, B(B0 -> e+ tau-)<2.8x10^-5 and B(B0 -> mu+ tau-)<2.2x10^-5, areobtained at 90% confidence level.

Searches for the decays B0 -> l+ tau- and B+ -> l+ nu (l=e,mu) using hadronic tag reconstruction