We theoretically study the properties of topological systems and explore new types of topological phases (like the ones shown in the figures). These include topological insulators and superconductors, but also gapless systems such as Weyl semimetals. Part of our focus is on determining the stability of topological phases to perturbations such as disorder, as well as studying their dynamical properties.

1. Anomalous levitation and annihilation in Floquet topological insulators, arXiv:2003.02266
2. Simulating Floquet topological phases in static systems, arXiv:2001.08217
3. Topological phases without crystalline counterparts, Phys. Rev. Lett. 123, 196401 (2019)
4. Partial lattice defects in higher order topological insulators, Phys. Rev. Lett. 123, 266802 (2019)
5. Localization counteracts decoherence in noisy Floquet topological chains,  Phys. Rev. Lett. 120, 216801 (2018)