Cosmological constraints on neutrino masses are improving rapidly. We compu
te the joint constraints on II cosmological parameters from the latest cosm
ic microwave background and large scale structure data, and find that at 95
% confidence, the total (cold+hot) dark matter density is h(2)Omega dm = 0.
20(-.10)(+.12). AS much as 38% of this dark matter is allowed to be hot (du
e to neutrinos). Indeed, the data favors a non-zero neutrino fraction, but
not at a statistically significant level.