In this talk, I first give a very general overview of the concept of MBL (many-body localization). Then I introduce the so-called quantum sun model (aka avalanche model/ quantum grain model). Then  I discuss the significance of this model in the MBL community. Afterwards, I present our result which is proof of the localization and Poisson stat. for this model in certain range of parameters. Finally,  I give some rough ideas about the proof: we first prove the result for the "free model" (sum of free disordered spin z), then we show that the interacting model is sufficiently "similar" to the free model by controlling the ratio of "in-resonance" levels. This is joint work with Wojciech De Roeck.