Have you ever thought “If only I could superexponentially reduce the state space of gene genealogies I’m dealing with when I infer changes in Ne over time!” ? Then this paper, releasing the method BESTT, is for you! Led by the incredible Julia Palacios, former lab postdoc, and building off of theoretical results from her 2015 Genetics paper. Currently for independent loci, but SMC-based inference is up next!