Abstract: Topological phases are exotic quantum matters that have non-trivial topological nature in their electronic properties, which often result in robust quantization in bulk transports and excitations localized on the boundary. In low-dimensional topological superconductors, the boundary excitations are dubbed “Majorana modes” for being their own antiparticles, and have been proposed as a promising candidate for qubits in quantum computation. Yet, materials hosting topological superconductivity are rare to date. I will discuss examples of how to design and search for material candidates for various types of topological superconductors by exploiting the interplay between topology and symmetry.