RESEARCH
My research explores the information encoded in quantum wave functions beyond energy spectra, and its consequences for topological and correlated phases.
Quantum geometry describes how wave functions evolve across parameter or momentum space. I am interested in the quantum metric, Berry and non-Abelian curvature, and geometries that arise in multiband systems and Kramers pairs.
Related publication →Some topological structures depend on more information than occupied-band topology or the low-energy nodal spectrum alone. Hopf and real Hopf invariants, delicate topology, and unconventional transitions are representative examples.
Related publication →A longer-term direction is to understand how nontrivial quantum geometry and symmetry can organize interacting many-body phenomena, particularly in narrow-band systems.
Notes & learning →