Ilmanen's genus reduction conjecture for mean curvature flow

Let $M_t$ be any mean curvature flow in $\mathbb{R}^3$. A genus reduction conjecture asserts that the genus of $M_t$ strictly decreases at the time of a singularity, unless the singularity is a neck-pinch or a shrinking sphere. By the works of Brendle, Ilmanen–White, Chodosh–Schulze, Chodosh–Daniels–Schulze, Bamler–Kleiner, and Chodosh–Choi–Schulze–Mantoulidis, this conjecture has been resolved.