Named after Sir Arthur Schuster - British mathematician, physicist (1851-1934).
Schuster is a lunar impact crater that lies along the eastern rim of the much larger walled plain Mendeleev, on the far side. To the east is the crater Henderson, and to the southeast lies the large Chaplygin. The schuster is a worn and eroded crater formation, with the most intact portion of the rim along the western half where it overlaps Mendeleev. There is a tight cluster of small craterlets along the northern inner wall and floor where the crater rim joins the rim of Mendeleev. (wikipedia entry)
A crater is a circular depression likely created by an impact event. On the Moon they are named after deceased scientists, polar explorers, astronauts or cosmonauts.