We show that a two dimensional Stein space with isolated, normal singularities, strictly pseudoconvex, algebraic boundary and K\"ahler-Einstein Bergman metric is biholomorphic to unit ball resolving a version of Cheng's conjecture of 2D Stein spaces. We also show that the condition of the strictly pseudoconvex boundary can be relaxed to finite type instead. These results are due to joint works with P. Ebenfelt, S.Sinha and M.Xiao