He holds the Peter C. Doherty Endowed Chair of Immunology in St. Jude Children's Research Hospital.

After training at the Massachusetts Institute of Technology for the next two years, Green graduated from Yale with a PhD in 1981, where he studied immunology with Richard K. Gershon.

[2] In 2005, he moved to St. Jude Children's Research Hospital to become the Peter C. Doherty Endowed Chair of the Department of Immunology.

[8] Other areas of interest include regulated necrosis,[9] metabolic reprogramming in T lymphocytes,[10] and the function of the tumor suppressor, p53.

He is an Honorary Fellow of Trinity College, Dublin (2010)[15] and Dottore Honoris Causa of Rome University Tor Vergata (2016).