Question: Who directed and co wrote the film also written by Marshall Brickman, featuring work by Gordon Willis?

Context paragraphs:
Gordon Willis: Gordon Hugh Willis, Jr., ASC (May 28, 1931 – May 18, 2014) was an American cinematographer.  He is best known for his work on Francis Ford Coppola's "The Godfather" series as well as Woody Allen's "Annie Hall" and "Manhattan".  Fellow cinematographer William Fraker called Willis's work a "milestone in visual storytelling", while one critic suggested that Willis "defined the cinematic look of the 1970s: sophisticated compositions in which bolts of light and black put the decade's moral ambiguities into stark relief".

Annie Hall: Annie Hall is a 1977 American romantic comedy film directed by Woody Allen from a screenplay he co-wrote with Marshall Brickman.  Produced by Allen's manager, Charles H. Joffe, the film stars the director as Alvy "Max" Singer, who tries to figure out the reasons for the failure of his relationship with the film's eponymous female lead, played by Diane Keaton in a role written specifically for her.

Sleeper (1973 film): Sleeper is a 1973 American futuristic science fiction comedy film, directed by Woody Allen and written by Allen and Marshall Brickman.  The plot involves the adventures of the owner of a health food store who is cryogenically frozen in 1973 and defrosted 200 years later in an ineptly led police state.  The film contains many elements which parody notable works of science fiction and was made as a tribute to comedians Groucho Marx and Bob Hope.

Simon (1980 film): Simon is a 1980 American comedy film.  It was written and directed by Marshall Brickman and stars Alan Arkin.

The Manhattan Project (film): The Manhattan Project is an American film, released in 1986.  Named after the World War II-era program that constructed the first atomic bombs, the plot revolves around a gifted high school student who decides to construct an atomic bomb for a national science fair.  It was directed by Marshall Brickman, based upon his screenplay co-written with Thomas Baum, and starred Christopher Collet, John Lithgow, John Mahoney, Jill Eikenberry and Cynthia Nixon.  This was the first production from short-lived Gladden Entertainment.

The Addams Family (musical): The Addams Family is a musical comedy with music and lyrics by Andrew Lippa and the book by Marshall Brickman and Rick Elice.  The show is based upon "The Addams Family" characters created by Charles Addams in his single-panel gag cartoons, which depict a ghoulish American family with an affinity for all things macabre.  Although numerous film and television adaptations of Addams' cartoons exist, the musical is the first stage show based on the characters.  "The Addams Family" is also the first show produced by Elephant Eye Theatricals.

Manhattan Murder Mystery: Manhattan Murder Mystery is a 1993 American comedy murder mystery film directed by Woody Allen, co-written by Allen and Marshall Brickman, and starring Allen, Diane Keaton, Anjelica Huston and Alan Alda.  The film centers on a married couple's investigation of the death of their neighbor's wife.

Sister Mary Explains It All: Sister Mary Explains It All is a 2001 satirical dark comedy film written by Christopher Durang and directed by Marshall Brickman.  The film, based upon Durang's 1979 play "Sister Mary Ignatius Explains It All For You", and starring Diane Keaton in the title role, premiered on the Showtime network.

Manhattan (film): Manhattan is a 1979 American romantic comedy film directed by Woody Allen and produced by Charles H. Joffe.  The screenplay was written by Allen and Marshall Brickman.  Allen co-stars as a twice-divorced 42-year-old comedy writer who dates a 17-year-old girl (Mariel Hemingway) but falls in love with his best friend's (Michael Murphy) mistress (Diane Keaton).  Meryl Streep and Anne Byrne also star.

Lovesick (1983 film): Lovesick is a 1983 American romantic comedy film written and directed by Marshall Brickman.  It stars Dudley Moore and Elizabeth McGovern and features Alec Guinness as the ghost of Sigmund Freud.

Supporting paragraphs: Gordon Willis Annie Hall
Answer: Woody Allen