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The Geometry and Topology group have a wide range of interests including:

  • aperiodic tilings
  • cluster algebras
  • complex geometry
  • computational topology and its applications
  • discrete groups
  • Floer homology and gauge theory
  • geometric analysis
  • hyperbolic geometry
  • linkages
  • locally symmetric spaces
  • low dimensional topology
  • metric geometry
  • quantum topology
  • Riemannian geometry
  • topological dynamics
  • transformation groups
  • tropical geometry