3 problems

Let $V(I')$ be the affine variety defined by the specialized ideal $I'$ associated with the specialized spectral-invariant system, and let $q$ denote the period. A point is regular…

Let $q>3$, let $V$ be a nonzero $q\mathbb{Z}$-periodic potential of the form … and let $\Delta$ denote the discrete Laplacian. Floquet-isospectral potential conjecture. There exist…

Commutation-of-limits conjecture. For sufficiently small $\epsilon_1$ and $\epsilon_2$, the scaling limit exists uniformly with respect to $T_{\mathrm{cr}}$; the deformation limits…