In 1975 he started his undergraduate studies in the department of mathematics and physics at the University of Haifa at Oranim, and completed them in 1982, in the Technion, after a three years break for service in the Israel Defense Forces.

In 1992 Soker has received the Alon Fellowship and returned to Israel to become an assistant professor at the Mathematics-Physics Department of the University of Haifa at Oranim.

Soker suggested a "cold feedback" scenario, where nonlinear over-dense blobs of gas cool quickly and are removed from the intracluster medium before the next major active galactic nucleus heating event in their region.

He has developed the "core-degenerate" model to account for the explosion of type Ia Supernovae, as a result of the merger of a white dwarf with the core of an Asymptotic Giant Branch star in the late stages of common envelope.

The model proposes that when the LBV erupted, its binary companion accreted gas and launched jets that formed the hourglass shaped Homunculus Nebula.