Schuster began his academic studies at the Hebrew University in 1981, and graduated in 1984, with a bachelor's degree in mathematics and computer science.

After receiving his degree, Schuster worked as a teacher at Ort College in Givat Ram, Jerusalem.

In 1991 Schuster received a doctorate at the Hebrew University of Jerusalem in computer science.

His PhD topic dealt with the dynamic configuration of communication networks for parallel computation, under the guidance of Eli Shamir.

[4] In 2016, Schuster co-founded a startup called Cy-oT (Cyber of Things), along with Natan Bandler and Daniel Moscovici.