3 problems

Sullivan's and Schoen–Yau's conjectures. Every proper minimal surface in $\mathbb{R}^3$ having finite topology, as conjectured by Sullivan, or having a proper projection into a pla…

A properly immersed minimal surface in $\mathbb{R}^3$ is said to lie above a negative half catenoid when it is contained in the corresponding region determined by a negative half o…

Khan–Marković conjecture. For every such sequence $(\ell_n)_{n=1}^{\infty}$, there exists a choice of twists $(t_n)_{n=1}^{\infty}$ such that the flute surface…