6 problems

Let $g$ be the genus of a hyperelliptic sigma-function, let $\mathscr{P}=\mathbb{Q}[\Lambda]$, and let $\mathscr{Q}=\mathscr{P}[D_1,\dots,D_g]$ be the graded ring of linear differe…

Let $\mathcal{V}$ be a trigonal curve whose finite branch points are real or occur in complex-conjugate pairs. Let $\wp_{i,j}$ and $\wp_{i,j,k}$ denote the associated Kleinian func…

Let $\Delta_n$ be the Hankel determinants whose moments are defined by the recurrence in the source. Let $\tilde{\mathcal C}$ be the quintic curve … which is isomorphic to the rele…

Let $g$ be the genus of a hyperelliptic curve, let $\bm{\sigma}(u)$ be its genus-$g$ hyperelliptic sigma-function, and let $\Lambda_{g-1}$ be a parameter stratum on which the genus…

Witten's conjecture. A 24-dimensional manifold exists such that the Monster group acts on it via the Weierstrass sigma function.

EEL construction conjecture. The EEL construction could be applied to every space curve if it is Weierstrass.