Development of crystal growth technologies using the technique of Czochralski, homogeneous crystals growth conditions for PbWO4 and for the tungstates of alcaline earths AWO4 (A = Ca, Sr, Ba); defects in crystals; growth of doped crystals, growth conditions for PbWO4 single crystals doped at a high level (several percents) by rare earth elements; growth of non-stoichiometric PbWO4 single crystals and study of their absorption and emission centers.