Neil joined the Faculty of the University of Miami (UM) in 1965 and proudly served in this role for the next 58 years. He was a major figure in the history of the UM Psychology Department and helped to shape its direction for the past half-century. Neil was continuously funded as the PI of NIH and/or National Science Foundation research grants since 1966, totaling more than $125 million in extramural support. He led NIH Program Project grants and clinical trials involving behavioral management of coronary heart disease and HIV, population-based epidemiological studies as well as basic research on psychosocial/behavioral contributions of stressors to cardiovascular risk and biological disease processes. In addition, he was the PI on an NIH Training Grant that has been continuously funded since 1979.

During his illustrious career, Neil published more than 450 refereed journal articles and edited or wrote 18 books and monographs. Among his many awards and achievements were the American Psychological Association (APA) Award for Distinguished Scientific Contribution (1994), the Lifetime Achievement Award from the International Society of Behavioral Medicine (2012), and the American Psychosomatic Society Distinguished Scientist Award (2014). He served as President of the Academy of Behavioral Medicine Research, President of APA Division 38 (Health Psychology), and was a Fellow of the Society of Behavioral Medicine. He also served as the Editor-in-Chief of the journal Health Psychology, and the International Journal of Behavioral Medicine.