Mazur's research focuses on fisheries science and management. Overarching themes in Mazur's writings include fisheries, fisheries modelling, fisheries management, conservation, fish population dynamics, American lobster. More specifically, Mazur uses computer simulations to evaluate management regulations in the Maine lobster fishery. Mazur also conducts oral history interviews with Maine lobstermen to understand changes in the fishery and concern's stakeholders may have about the future of the fishery, which are used to inform the simulation work. Fisheries stock assessment is another area of Mazur's expertise. Mazur works on fisheries habitat modelling as well. Mazur serves as a senator on the University of Maine's Graduate School Government, on the University of Maine's School of Marine Science's Symposium Planning Committee, and the University of Maine's Student Research Symposium Committee.