Weldon received his Ph.D. from the State University of New York at Buffalo. His interests encompass the study of neuroscience, specifically the basis for attention in the brain, looking at head and body movements toward stimuli. Weldon is a recipient of the National Research Service Award from the National Institute of Mental Health. He has reviewed material for the National Science Foundation and Science magazine. His areas of research include the developmental psychobiology of memory; the behavioral correlates of midbrain neuronal activity; and the cognitive neuroscience of visual spatial memory in humans.