Thematically, our research field is quantum-theoretical condensed matter physics. Presently, our main focus is on topological states of matter, where we investigate quantum anomalies, quantum oscillations, magnetic-breakdown effects, and various transport phenomena. More information on our research interests is given below.

Conceptually, our research addresses fundamental physics and basic mechanisms that do not rely on specific material details. We work with effective models, such as low-energy, tight-binding, and semiclassical models, whereby the robustness of the considered mechanisms, typically coming from topology, ensures their manifestations in real, specific materials. We collaborate with material scientists and experimentalists.

Methodologically, central to our work are analytical investigations that aim to understand the physics at a fundamental, conceptual level. We also perform numerical calculations, which main purpose is to test the analytics on more complex and realistic models. Generally, our research is driven by the physical problems, not by a particular method. As a result, there is a broad range of tools that we use, including scattering-matrix approach, Landauer and semiclassical transport approaches, trajectory-based semiclassics, diagrammatic perturbation theory, and mean-field approximation.