This talk will discuss the Nadler-Quinn problem. Posed in 1972, the
problem asks if, given any arc-like continuum and any point , we can
embed in the plane with accessible. In 2001, Minc constructed a
particularly simple example of an arc-like continuum and point for
which it was not known whether could be made accessible in a plane
embedding of . In 2020, Anusic proved that can, in fact, be embedded with accessible. I will give an
overview of this proof and briefly introduce a more recent approach to the
problem.