Cusp forms, Spanning sets and Super Symmetry

- Construction of a spanning set for the space of cusp forms in the case of a product of complex symmetric domains of rank 1 and a discrete subgroup with compact quotient based on the concept of hyperbolic flows, - formulating the theory of super automorphic forms for parametrized discrete subgroups, - construction of a spanning set for the space of super cusp forms in the rank 1 case for non-parametrized discrete subgroups, - outlook on how to define the space of super cusp forms and how to find spanning sets in the case of a parametrized discrete subgroup