Teaching

Topics:

• Abelian & Non-Abelian topological order, anyons, topological quantum computing

• Symmetry protected topological phases (topological insulators)

• Quantum information perspectives (entanglement structure)

• Topological materials and experimental progress

Topics:

• Spontaneous symmetry breaking

• Particle-vortex duality

• Quantum phase transitions, universality, and renormalization group

• Gauge theories and confinement

• Topological field theory, Chern-Simons theory

Topics:

• Multi-electron atoms

• Perturbation theory and scattering

• Quantum mechanics of charged particles, scalar-fields, and electromagnetic fields