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Recent experimental data and progress in nuclear structure modeling have leadto improved descriptions of astrophysically important weak-interactionprocesses. The review discusses these advances and their applications tohydrostatic solar and stellar burning, to the slow and rapid neutron-captureprocesses, to neutrino nucleosynthesis, and to explosive hydrogen burning.Special emphasis is given to the weak-interaction processes associated withcore-collapse supernovae. Despite some significant progress, importantimprovements are still warranted. Such improvements are expected to come fromfuture radioactive ion-beam facilities.Comment: 45 pages, 33 figures, REVTeX 4, submitted to Rev. Mod. Phys.,  modified following referee's comment

Nuclear weak-interaction processes in stars