A device for thickening a cryogenic slurry is disclosed. The device comprises a cryogenic slurry flow path, a cryogenic liquid discharge path, and a filter medium between the cryogenic slurry flow path and the cryogenic liquid discharge path. The cryogenic slurry comprises a solid and a cryogenic liquid. The cryogenic slurry is fed into the cryogenic slurry flow path, generally tangential to the filter medium. This causes a portion of the cryogenic liquid to cross the filter medium into the cryogenic liquid discharge path as a cryogenic liquid discharge and the cryogenic slurry to thicken to produce a thickened slurry. The filter medium comprises a cryogenically-stable material such that adsorption of gases is inhibited, deposition of solids is prevented, and temperature-change induced expansion and contraction of the filter medium is optimized.