In 1952, Stone moved to Los Angeles and joined the faculty of UCLA's School of Medicine, department of pathology.

He also served as the chief of research in pathology for the Atomic Bomb Casualty Commission from 1959 to 1960 and a collection of his speeches is held at the National Library of Medicine.

[2] Stone also served as the vice president for health services and dean of the school of medicine at the University of New Mexico.

While at the University of New Mexico, he worked to increase diversity within the school of medicine by hiring minority faculty members and appointing a woman to a key leadership role.

Stone is credited with helping to develop the idea of using a method control population to study the rates of given diseases for comparison.

He served two years and was fired in January 1975 after he "became an advocate of medical research rather than an emissary of the HEW secretary's office, he had failed to relate the federal governments health research effort to the developing health services activities and failing to give strong direction to the NIH.