We study how topology and quantum geometry shape the local structure, collective behavior, and measurable response of quantum matter. The group’s work is organized around four connected directions: disorder and defects, moiré correlations, quantum geometry in materials, and transport and response.
Disorder and defects in topological systems
Topological phases are most revealing where translation symmetry breaks: at defects, boundaries, and through disorder. We study the real-space states and dynamical responses that survive imperfect crystals, and how local modes reorganize transport and screening.
Moiré materials and correlations
In moiré materials, geometry and interactions become tunable on the same energy scale. We study how flat topological bands generate fractional phases, magnetism, superconductivity, and collective modes, and how those states appear in transport, optics, and time-resolved probes.
Symmetry and topological characterization of quantum materials
Quantum geometry measures how electrons are localized and bonded inside a crystal; topology records the obstructions to that localization. We connect both to measurable energy scales and responses in real materials, from capacitance and optics to scanning probes and transport.
Transport and collective behavior of quantum devices
How do geometry and topology become measurable? We study the electrical, optical, and collective response of quantum materials—from instantaneous geometric currents and nonlinear metal response to plasmons, kinetic inductance, and unconventional superconductivity.
