
- Topological phases and materials
- Symmetry-protected topological insulators
- Strongly-correlated Abelian and non-Abelian topological order
- Quantum spin liquids
- Weyl and Dirac semi-metals
- Machine learning approach to strongly-correlated systems
- Quantum Loop Topography for machine learning
- Machine learning entanglement spectrum, etc.
- Machine learning for experimental and synthetic data analysis
- Quantum entanglement approach to strongly-correlated systems
- Minimum entropy states for quasi-particle statistics and braiding
- Momentum polarization for chiral topological order
- Entanglement characterization of emergent Fermi surfaces and non-Fermi liquids
- Quantum oscillations and magneto-transport signatures in realistic materials
- Quantum oscillations and magneto-transport in Weyl and Dirac semimetals
- Quantum oscillations in the presence of charge density waves, bilayer structures, and nematicity
- Effective theory of quasi-periodic systems and cyclotron electrons
- Other computational methods
- Variational Monte Carlo and Quantum Monte Carlo methods
- Recursive Green's function method
- Exact diagonalization method