5 problems

Brahmagupta-move staircase conjecture. The functions $c_{\beta_i}$ have infinite staircases.

Usher's conjecture. Between the center of $A_{0,n}$ and $\mathrm{accum}(L_{n,0})$, the function $c_{L_{n,0}}$ equals

Staircase correspondence conjecture. For every $\beta\geq\sqrt{3}$, the function $c_\beta$ has an infinite staircase if and only if the function $c_{H_b}$ has an infinite staircase…

Let $b\in(1/3,1)$, let $\mathcal S^U_{\bullet,n}$ be the staircases from Theorem with centers in $(6,\infty)$, and let $\Phi$ and $Sh$ be the transformations described in the surro…

Let ${\bf B}$ be a center-blocking class with corresponding blocked $b$-interval … Write $H_b$ for the Hirzebruch surface problem at parameter $b$, and let $\mathcal S_b$ denote a…