We discuss the short- and long-term perspectives of the CRESST (Cryogenic R
are Event Search using Superconducting Thermometers) project and present th
e current status of the experiment and new results concerning detector deve
lopment. In the search for elementary particle dark matter, CRESST is prese
ntly the most advanced deep underground, low-background, cryogenic facility
. The basic technique involved is to search for WIMPs (Weakly Interacting M
assive Particles) by the measurement of nonthermal phonons, as created by W
IMP-induced nuclear recoils. Combined with our newly developed method for t
he simultaneous measurement of scintillation light, strong background discr
imination is possible, resulting in a substantial increase in WIMP detectio
n sensitivity. This will allow a test of the reported positive evidence for
a WIMP signal by the DAMA Collaboration in the near future. In the long te
rm, the present CRESST setup permits the installation of a detector mass up
to 100 kg. In contrast to other projects, CRESST technology allows the emp
loyment of a large variety of detection materials. This offers a powerful t
ool in establishing a WIMP signal and in investigating WIMP properties in t
he event of a positive signal. (C) 2000 MAIK "Nauka/Interperiodica".