1) building and testing a spatially-explicit theory of thermoregulation, 2) physiological and population responses to climate change for small vertebrate ectotherms, 3) thermally-mediated intraspecific competition in spatially-explicit environments, 4) optimal dispersal through thermally-structured habitats, 5) optimal coloration under thermoregulatory and predatory constraints, and 6) thermal dependence of chytrid fungus-frog interactions and amphibian decline