Brickman died on Friday in Manhattan, his daughter Sophie Brickman told The New York Times. No cause of death was cited.
Brickman was best known for his extensive collaboration with Allen, beginning with the 1973 film Sleeper. Together, they co-wrote Annie Hall (1977), Manhattan (1979) and Manhattan Murder Mystery (1993).
The loosely structured script for Annie Hall, in particular, has been hailed as one of the wittiest comedies. It won Brickman and Allen an Oscar for best original screenplay.
In his acceptance speech, Brickman referenced one of the film's many oft-quoted lines, saying: "I've been out here a week, and I still have guilt when I make a right turn on a red light."
"If the film is worth anything," Brickman told Vanity Fair in 2017, "it gives a very particular specific image of what it was like to be alive in New York at that time in that particular social-economic stratum."
Brickman and Allen had met in the early 1960s when Allen was breaking through as a stand-up comedian.
Brickman, born in Rio de Janeiro, Brazil, was the son of Jewish socialists Abram, who fled Poland during World War II, and Pauline (Wolin) Brickman, who was from New York.
By the late 60s, Brickman was head writer for Johnny Carson's The Tonight Show.
When Brickman and Allen began writing together, they found a natural chemistry, with Brickman playing a supporting role to Allen's semi-autobiographical material.
"We didn't write scenes together. I think that's the death for any collaboration," Brickman told the Writers Guild. "I don't think there's any such thing really as an equal collaboration. I think that in any collaboration, one person, one personality, one point of view has to dominate."
Brickman wrote and directed the 1980 film Simon, starring Arkin as a psychology professor brainwashed into believing he's from outer space. He also directed 1983's Lovesick, with Alec Guinness as the ghost of Sigmund Freud, and 1986's The Manhattan Project, about a high schooler who builds a nuclear weapon for a school project.
With Rick Elice penning the music, Brickman wrote the Broadway musical Jersey Boys, about the 1960s rock group The Four Seasons. It ran on Broadway for 12 years beginning in 2005. He and Elice also wrote the 2010 musical The Addams Family.
Brickman is survived by his wife, Nina, daughters Sophie and Jessica, and five grandchildren.
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