British playwright, screen, television and radio writer whose plays usually involve both ethical and social matters. He is best known for his plays What We Did To Weinstein (Menier Chocolate Factory, London, 2005) which earned Craig a Most Promising Playwright Nomination at the Evening Standard Awards; The Glass Room (Hampstead Theatre, 2006), which deals with Holocaust denial; the English version of Tadeusz Slobodzianek's Our Class (2009) and The Holy Rosenbergs (2011), both at the National Theatre. 2017 saw the semi-autobiographical Filthy Business (Hampstead Theatre, London).