Superconducting circuits provide a useful toolbox for science at the intersection of many different fields – materials, devices, physics, computer science, and mathematics.  I will describe how our work with this platform spans these fields, drawing insight from many sources to advance the state of the art.  In particular, I will show how materials science can lead to insight into improved qubit coherence; how Hamiltonian engineering can be used to immunize qubits against noise and provide faster gates; and how lattices of qubits and cavities can draw on graph theory to realize flat bands and novel fragile topological states.