Dr. Gill has done extensive work in the development of Bayesian hierarchical models, nonparametric Bayesian models, elicited prior development from expert interviews, as well in fundamental issues in statistical inference. 

Current applied work includes: blood and circulation physiology including how our bodies change these dynamics in times of stress such as injury, long-term mental health outcomes from children’s exposure to war, pediatric head trauma, analysis of terrorism data, survey research methodologies, and spatial analysis of social and biomedical conditions. He is also a member of American University’s Center for Behavioral Neuroscience.