Her initial research interests include Heusler compounds and related filled tetrahedral structure types, the design, synthesis and physical investigation of new quantum materials, and materials for energy technologies (solar cells, thermoelectrics, catalysis, spintronics). The physical investigations are executed on bulk material, thin films and artificial superstructures.
Her current research focuses on relativistic materials science. Felser, along with collaborators, developed the field of topological quantum chemistry, which involves the design, synthesis, and realization of new multifunctional materials guided by theory. In particular, she focuses on new materials for quantum technologies such as topological insulators, Weyl and Dirac semimetals, skyrmions, superconductors, new fermions, and new quasiparticles (axions, majorana, parafermions, etc.).