Our research revolves mainly around geometric and topological properties of quantum transport in electric circuits. Importantly, and in contrast to most of the research done in the field, we are not considering topological properties, which emerge on the level of the bandstructure of certain exotic materials or metamaterials. Rather, we are interested in circuits made up of trivial materials, which exhibit topological effects in their transport properties. We specialise in both superconducting transport, i.e., equilibrium properties of the circuit, as well as non-equilibrium, dissipative transport. On the fundamental side, we are trying to find new ways of characterising topological transport, and examining new, previously unknown effects. Based on these results, we then aim at developing new ideas for applications, be it for quantum information or new measurement concepts.