Two breakthrough discoveries in the 1980s set the stage for modern condensed matter physics: the cuprates revealed a rich landscape of broken symmetries intertwined with high-temperature superconductivity, while integer and fractional quantum Hall effects in two-dimensional electron systems showcased the fundamental importance of topological invariants. Atomically thin van der Waals materials now allow these concepts to coexist in a single, highly tunable platform. In multilayer graphene, flat electronic bands with sizable Berry curvature arise from metastable rhombohedral stacking or from twist-induced moiré superlattices. I will discuss recent results from both systems, emphasizing how electrostatic gating, displacement field, magnetic field, temperature, and uniaxial strain tune correlated and topological phases. In rhombohedral graphene, the electronic wavefunction concentrates on the outer crystal faces and is nearly absent in the bulk. We observe spin-triplet superconductivity in this dual-surface–polarized semimetal, providing a new geometric control knob for pairing. The same material also hosts an h/e2-quantized anomalous Hall state. In magic-angle twisted bilayer graphene, we use continuous uniaxial strain to tune the moiré geometry and corresponding flat bands. The resistivity shows a large elastoresponse that depends on band filling and temperature, and in some regimes follows Curie–Weiss-like behavior consistent with a strain-coupled electronic susceptibility. Together, these findings reveal new pathways to probe and control the interplay of strong correlations and topology within flat-band multilayer graphene systems.