4 problems

Let $w$ be a width, and let $\Sigma_w$ denote the corresponding semigraphical translator: a helicoid when $w<\pi$ and a pitchfork when $w\geqslant\pi$. Uniqueness conjecture. For a…

Let $s>0$ be fixed, and let $M_i$ be an annuloid in the family $\mathcal A$ from Corollary, with necksize $s$ and inner width $b_i\to\infty$. After suitable vertical translations, c…

Let $T[\Sigma_0]$ denote the level-set flow associated with the translator $\Sigma_0$, and suppose that $T[\Sigma_0]$ fattens. A complete translator is called unstable or mathcal{I…

Let the complete translators constructed in Theorem be the finite-entropy translating hypersurfaces obtained there. Type-II blow-up conjecture. The complete translators constructed…