He is a graduate of Cheshire High School and New York University's Tisch School of the Arts, and is known for his recurring role as "Dr. Raj, the Psychiatric doctor" on the ABC medical drama Grey's Anatomy.
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In theater, Nigam has appeared alongside fellow-NYU alumni Philip Seymour Hoffman in the controversial production of the Peter Sellars' directed The Merchant of Venice at the Royal Shakespeare Company in London and The Goodman Theatre in Chicago.
MetroPCS's TV commercial series (from 2010 to 2011) features two Indians "Ranjit" played by veteran actor Anjul Nigam and "Chad" who make fun of American popular culture, which received mixed reviews.