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Topology

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.

People specializing in this area

Faculty

Anneke Bart

Geometric Topology, Low dimensional topology, Deformation theory

John Cantwell

Foliations

Bryan Clair

Geometric topology, L2 topological invariants.

David Letscher

Algorithmic questions in 3-manifold topology

David Oury

Presently my research concerns model categories and abstract homotopy theory in an effort to better understand infinity-categories, also called weak omega-categories, which are more general than their well known (strict) counterparts and are used to better understand more diverse environments, in mathematics, physics and computer science.

Kevin P. Scannell

Hyperbolic 3-manifolds, spaces of knots

Christine Stevens

Topological groups.

Michael Tsau

Geometric topology, Knot Theory

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