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Saint Louis University has a very active research group in topology,with an emphasis on the topology of 3-dimensional manifolds. Areas of specialty include hyperbolic 3-manifolds, hyperbolic geometry, knot theory and foliations.

Geometric Topology, Low dimensional topology, Deformation theory

Foliations

Geometric topology, L^{2} topological invariants.

Topological groups.

Geometric topology, Knot Theory