In the past decade NASA has had several composting projects but they are mostly geared toward processing of agricultural residues, for the scenario where the astronauts/colonists grow their own food. There is also some current work on freeze drying feces, but the goal is not so much resource recovery as stabilization so that the feces won't decompose and release toxic or offensive gases. The place to see reports on NASA research is the NASA task book site. From the
site go to the "NASA research opportunities" site for the office of biological and physical research, and look for the taskbook database. It has yearly reports of nearly all NASA funded external research on life support and other biological topics, physics and materials science, going back to 1995.
By the way you don't need light and heat for composting. You need oxygen to support aerobic microbial growth, and and a reasonably well insulated enclosure so that the biochemical reactions will raise the temp high enough to kill off pathogens, and a dehumidifier downstream to condense out the water produced by metabolism and evaporated off of the compost pile.
Someone asked about power. Any long term mission where the astronauts grow their own food will have a huge power plant because the electrical-energy-to-food energy yield under artificial lighting is something like 1-2%.
Rjeffery asked about recycling nitrogen and carbon from feces. Most of the nitrogen we eat goes out in the urine and most of the carbon, in CO2. It would be nice to recover it, but not necessary except for really long term missions or very large crews.