  We discuss the prospects for improved upper limits on neutrino masses that
may be provided by a core-collapse supernova explosion in our galaxy, if it
exhibits time variations in the neutrino emissions on the scale of a few
milliseconds as suggested by recent two-dimensional simulations. Analyzing
simulations of such neutrino emissions using the wavelet technique adopted in
[1], we find that an upper limit m_nu ~ 0.14 eV could be established at the 95%
confidence level if the time variations in emissions were to be preserved
during neutrino propagation to the Earth.
