4 problems

Let $G$ be one of the remaining hypergeometric monodromy groups in the cases listed in the paper's table of open cases. The groups are being considered with the amalgamated free-pr…

The Dwork family consists of the hypergeometric groups associated with the Dwork family of parameters; in particular, the septic case has…

For $n\geq 2$, let $R_n,U_n,T_n\in\operatorname{GL}_n(\mathbb{C})$ be the matrices defined above, let $H_n=\langle R_n,U_n,T_n\rangle$, and write $\langle R_n\rangle$ and…

For hyperbolic hypergeometrics $(\alpha,\beta)$, the group $G(\alpha,\beta)$ is an orthogonal group $O_f$ defined over $\mathbb{Q}$, where $f$ is a rational quadratic form in an od…