Curtis, who has worked on the title since it launched in 1996, said she was leaving to spend more time with her family and concentrate on her freelance career.
"I've enjoyed every moment on this fabulous magazine but I'd really like to spend less time on planes now and to spend some quality time with my family," she said.
Langmead joined the title in November, following the high-profile departure of founder Tyler Brule, after the relationship between him and IPC turned sour.
According to Langmead: "Anne-Marie was one of the founding members of Wallpaper and has worked tirelessly over the years to deliver the very best fashion coverage for the title. On behalf of everyone at the magazine, I want to thank her for her brilliant and exhaustive contribution and to wish her well in her new freelance career. We will miss her enormously."
Since taking over, Langmead has made a number of high-profile appointments including former Marie Claire fashion director Marcus Von Ackermann as editorial director and former GQ and Sunday Times Magazine art director Tony Chambers as creative director.
Brulee founded Wallpaper in 1996 and it was bought by Time a year later. IPC was taken over by Time parent AOL Time Warner last year and Wallpaper was subsequently moved into the IPC fold along with Time's other UK-based magazine In Style.
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