Robert Everist Greene (born 1943) is an American mathematician, who contributed to differential geometry and several complex variables. He is currently a Professor of Mathematics at the University of California, Los Angeles.
Greene was an undergraduate at Michigan State University and a Putnam Fellow in 1963. He went to Princeton briefly, then completed his Ph.D. at the University of California, Berkeley in 1969. His doctoral advisor was Hung-Hsi Wu; his doctoral thesis was titled Isometric Embeddings of Riemannian and Pseudo-Riemannian Manifolds.
Greene is also an amateur violinist, and was the violin instructor of Russell Crowe for the 2003 epic period war-drama film . In his Princeton years, he played violin with Hassler Whitney, one of the founders of the subject differential topology, who was a violin and viola player.
Some of Greene's books and papers are: