Ruida Di

We give a new proof of a uniform version of Bogomolov conjecture for tori. To do this, we prove an equidistribution result on non-degenerate subvarieties. Our proof is inspired by Dimitrov-Gao-Habegger, K\"{u}hne, Gao-Ge-K\"{u}hne's approach to the uniform Mordell-Lang conjecture.