Given a valuation over a singularity, it is a fundamental problem whether it has finitely generated associated graded rings. This problem has deep connection with the theory of K-stability and moduli, where the finite generation of certain minimizing valuations were shown. For klt singularities, we propose the study of Kollár valuations, which are valuations with finitely generated associated graded rings that induces klt degenerations. We show that the locus of Kollár valuations is path connected. We discuss some open questions and examples. Based on joint work with Chenyang Xu.