3 problems

Let $M$ be a $k$-cusped hyperbolic $3$-manifold. A Dehn filling point is a point corresponding to a Dehn filling of $M$, and its height is the height used in the associated Dehn fi…

Let $S=S(g,p)$ be an orientable, connected surface of genus $g$ with $p$ punctures, and let $M$ be a hyperbolic surface bundle over $S^1$ with fiber of type $(-\chi,p)$, where…

Let $n$ be an odd, negative integer, and let the trace field of a hyperbolic knot complement mean its invariant trace field. Trace-field symmetry conjecture. The $(-2,3,n)$ and…