4 problems

Let $N$ be the level parameter, let $\alpha$ be the invariant, let $\operatorname{image}\alpha$ denote its image, let $\Phi_m^{\alpha}$ be the modular polynomial with level structu…

Let $r\ge 2$, and consider the map … Here the map is induced by the covering map from the regular cover $S_{\mathcal{D}}\to\Sigma_{g,p}^b$, where…

Prime-set level conjecture. For every integer $k$,

Let $\operatorname{Mod}_g$ be the mapping class group of a closed oriented genus $g$ surface, and for $\ell\geq 2$ let $\operatorname{Mod}_g(\ell)$ be the kernel of its action on…