3 problems

Equal-density packing conjecture. Densities of the densest $p2$, $pg$, and $p2gg$ packings are equal for all, but centrally nonsymmetric $n$-gons with three-fold rotational symmetr…

Rigid-transformation packing conjecture. Under this dimension hypothesis, the set obtained by applying the transformations in $\Theta$ to $E$ has positive $d$-dimensional Lebesgue…

For each integer $m\geq 2$, let $(Y_m,\omega_m)$ be the toric symplectic manifold obtained from $\mathbb{CP}^{2}$ with lines of area $m+2$ by symplectically blowing up along the st…