The rearrangement conjecture

A longstanding folklore conjecture in combinatorial number theory is the following: given an additive set $S$ not containing the identity, $S$ can be ordered as $s_1, \ldots, s_k$ so that the partial sums $s_1+\cdots+s_j$ are distinct for each $j\in[k]$. We discuss a recent resolution of this conjecture in the finite field model (where the ambient group is $\mathbb{F}_2^n$, or more generally, any bounded exponent abelian group). This is joint work with B. Bedert, M. Bucic, N. Kravitz, and R. Montgomery.