Dr. Greene received his medical degree in urologic training at the University of Dalhousie, University in Halifax, Nova Scotia. Following postgraduate education, he went to MD Anderson Cancer Center in Houston, Texas to complete a three-year Fellowship in Urologic Oncology.

He was recruited to UAMS in 1997 to build the section of Urologic Oncology. He has been an active member within the College of Medicine and the Winthrop P. Rockefeller Cancer Institute. His efforts in community outreach lead to the founding of the Arkansas Prostate Cancer Foundation in 1999 and state-appropriation for prostate cancer screening and awareness in 2001. He was awarded the Robert Woods Bass Chair in Urologic Oncology and made Director of the Center for Prostate Cancer Research in 2005.

While a primary focus of Dr. Greene was to improve the quality of prostate cancer treatment, his other areas of clinical expertise are in testis cancer, bladder cancer , advanced renal carcinoma and urinary diversion.

His basic science interests include carotenoid metabolism and prostate cancer risk, oxidative stress and mutagenesis, and the epi-genetics of prostate cancer.