The first two U.S. stores will open in November in Brookfield Place and SoHo in New York.
A special sneaker and a blanket will be offered starting on Oct. 28.
The initiative will raise funds for new cancer research at Memorial Sloan Kettering.
The retailer will stage its first fashion show at the Florence trade show.
The designer cut his teeth working for Thom Browne and Club Monaco before launching his eponymous brand.
Tom Nastos will now oversee Project men’s and women’s and Tommy Fazio will add oversight of trends for MR Magazine.
The store had opened in May as a pop-up.