Named after Leo Szilard - Hungarian-American physicist (1898-1964).
Szilard is a damaged lunar crater that lies to the east-northeast of the crater Richardson. About a half-crater-diameter to the northwest is the large walled plain Harkhebi. Between Harkhebi and Szilard is the small Giordano Bruno. The ray system from this impact forms streaks across the rim and interior. (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.