Kozma obtained his PhD in 2001 at the University of Tel Aviv with Alexander Olevskii.
In 2005, he demonstrated the existence of the scaling limit value (that is, for increasingly finer lattices) of the loop-erased random walk in three dimensions and its invariance under rotations and dilations.
This was introduced to the study of self-avoiding random walk by Gregory Lawler in 1980,[3] but is an independent model in another universality class.
In the two-dimensional case, conformal invariance was proved by Lawler, Oded Schramm and Wendelin Werner (with Schramm–Loewner evolution) in 2004.
In addition to probability theory, he also deals with Fourier series.