He is the J. McLain King Professor of Mathematics at Haverford College in Pennsylvania.
[1] Greene did his undergraduate studies at Harvard University, and earned his Ph.D. in 1969 from the California Institute of Technology under the supervision of Robert P.
[1][2] He held positions at the Massachusetts Institute of Technology and the University of Pennsylvania before moving to Haverford.
Greene has written highly cited research papers on Sperner families,[3] Young tableaux,[4] and combinatorial equivalences between hyperplane arrangements, zonotopes, and graph orientations.
[5] With Daniel Kleitman, he has also written a highly cited survey paper on combinatorial proof techniques.