Topology Research Group

Topology research at OSU focuses on knot theory and three-dimensional manifolds, using combinatorial, geometric and algebraic tools. Particular topics include triangulations, embedded surfaces and both classical and quantum invariants.

Faculty

Neil Hoffman

B.A., Williams College; Ph.D., University of Texas, 2011.

Dr. Hoffman focuses on low-dimensional topology, knot theory, hyperbolic 3-manifolds. Dr. Hoffman focuses on problems in low-dimensional topology relating to knot theory, triangulations, commensurability, and the algorithmic classification of 3-manifolds.
Robert Myers
B.A./M.A./Ph.D., Rice U., 1977.

Dr. Myers' research area, geometric topology, is the study of spaces called manifolds. These are generalizations of the curves and surfaces encountered in calculus. The subject has close ties to group theory and geometry. One particularly rich source of examples and applications, which is also very accessible and easy to visualize, is knot theory. This is exactly what its name implies: the mathematical study of knotted curves in ordinary space.
Henry Segerman
MMath., University of Oxford; Ph.D., Stanford University, 2007.

In geometry and topology, Dr. Segerman is mainly interested in triangulations of three-manifolds: their uses in the geometry and invariants of three-manifolds, computation using triangulations, and the structure of the set of triangulations of a three-manifold under local moves. He is also interested in the visualization and application of mathematical concepts with new technologies, for example 3D printing and virtual/augmented reality.