From IMDB.com:
Birth name
David Alan Mamet
Spouse
Rebecca Pidgeon (22 September 1991 - present) 2 children
Lindsay Crouse (21 December 1977 - 1990) (divorced) 2 children
Trade mark
Frequently makes use of William H. Macy, Alec Baldwin and Joe Mantegna, actors who also headlined his stage productions. Other regulars include Ed O'Neill, Lionel Mark Smith, Ricky Jay, Jonathan Katz and the late J. T. Walsh.
The telephone is often a key device or weapon in his works.
His films feature bursts of fast moving, profane dialog.
Often casts his wife, Rebecca Pidgeon, in prominent roles in movies he directs
Great attention to realistic dialogue, often the actors in his films stutter or even leave a large portion of their lines unsaid.
Trivia
Playwright/screenwriter
Well known for the rhythmic nature of his dialogue, he actually uses a metronome during rehearsals to perfect the actors' delivery of it.
Won the Pulitzer prize in Drama for "Glengary Glen Ross".
His stage work assayed in book entitled, "How Good is David Mamet, Anyway?" by critic John Heilpern, Dec.1999.
Attended Goddard College, Plainfield, VT with William H. Macy and Jonathan Katz.
Brother of Lynn Mamet.
2 children with actress Rebecca Pidgeon: Clara and Noah.
Daughters with Lindsay Crouse: Willa and Zosia.
His play, Boston Marriage performed at the Donmar Warehouse and New Ambassador's Theatre in London, was nominated for a 2002 Laurence Olivier Theatre Award for Best New Comedy of 2001.
Eschews using a personal computer to write his screen/plays preferring, instead, his old-fashioned typewriter
Used to work as a waiter at Second City Theater in Chicago.
Brother-in-law of Matthew Pidgeon.
Was twice nominated for Broadway's Tony Award as author of a Best Play nominee: in 1984 for "Glengarry Glen Ross," and in 1988 for "Speed-the-Plow."
Often either declines credit or uses a pseudonym if he is called upon only as a script doctor, or some films he doesn't direct. The only such film that credited him by name was Hannibal.