• Majoranas in topological insulators and superconductors

  • Introduction to Majoranas in topological insulators and superconductors
  • Different types of bulk-edge correspondence
  • Turning the helical edge into a topological superconductor
  • Two-dimensional p-wave superconductors
  • Vortices in 2D p-wave superconductors
  • Vortices in 3D topological insulator
  • Conclusions: Majoranas in topological insulators and superconductors

• Crystalline defects in weak topological insulators

  • Introduction: weak topological phases
  • Crystallographic defects and topology
  • The role of defect dimensionality
  • The defect topological invariant
  • Conclusions: Crystalline defects in weak topological insulators