AMR-108-0006
Partially Solved
2.1 (Leitner) — Limits between Thurston geometries
v1.3 research notesGeometric transitions are continuous paths of geometries that abruptly change type in the limit. Understand all transitions between the eight Thurston...
L3
AMR-108-0032
Partially Solved
5.7 (Agol) — Renormalized volume as a metric
v1.3 research notesThe renormalized volume of quasi-Fuchsian groups gives a function $\rho:\mathcal{T}(S)\times\mathcal{T}(S)\to\mathbb{R}$. Is $\rho$ a metric on the Te...
L3
AMR-108-0034
Open
5.9 (Cooper) — Thurston's Lego sets in dimensions at least four
v1.3 research notesGiven $R>0$ and an integer $n\geq4$, is there an $\varepsilon>0$ and a finite set of hyperbolic $n$-simplices such that every closed cone $n$-manifold...
L3
AMR-108-0047
Open
6.3 (Maher) — Structure behind Rivin's experimental regularity
v1.3 research notesRivin's experimental results appear extremely regular, possibly indicating additional structure. Investigate this phenomenon....
L3