6 problems

Even-modulus regularity conjecture. The conclusions of Theorem hold for $p$ even as well; that is, when $p$ is even, $\operatorname{Sing}(T)$ is $(m-1)$-rectifiable and, for every…

Flat-point conjecture.

Tangent-cone uniqueness conjecture. There is a unique tangent cone to $T$ at $p$.

White's discreteness conjecture. The union of the boundary and interior singular sets is discrete.

Boundary-measure conjecture.

Dimension conjecture. The Hausdorff dimension of the set of genuine boundary singularities is at most $m-2$.