4 problems

Let $b_2$ denote the lower boundary of the surface-superconductivity regime, let $b_3$ denote its upper boundary for smooth domains, and let $\Theta_0$ be the relevant spectral con…

Corner-factor conjecture. There is a canonical determinant $\operatorname{det}_{\angle}'\mathcal N_{\partial P}$ of the Neumann jump operator on a piecewise real-analytic curve wit…

Let a Jordan domain have finitely many corners with angle parameters $\alpha_j$, and let the truncated Grunsky determinant be regularized by subtracting its logarithmic divergence.…

Corner-singularity convergence conjecture. If $D$ is a polygonal scatterer, the convergence rate should rely on the singular behavior of the scattered field near corner points, and…