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Main topics

  • Knot Algebras, Hopf Algebras, Quantum Algebras
  • Quantum Invariants of Knots and Links
  • Vassiliev Invariants
  • TQFT, Topological Quantum Computing
  • Link Homology and Categorification
  • Quandles and Quandle Cohomology
  • Knots and Links in 3- and 4-Manifolds
  • Invariants of 3- and 4-Manifolds
  • Skein Modules
  • Braids
  • Orderability of Braid Groups, 3-Manifold Groups and Knot Groups
  • Virtual Knot Theory
  • Hyperbolic Knots and Geometric Structures on 3-Manifolds
  • Physical Knots, Topology of Fluid Flows, Surgery
  • Applications to Natural Sciences (Physics, Biology, Chemistry, …)