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Joseph Maher is interested in geometric topology, particularly in the study of surfaces and three-dimensional spaces. Topics of interest include knots, hyperbolic geometry, and the collection of all maps from a surface to itself, which is known as the mapping class group of the surface. This group has interesting large scale geometry, and is closely related to the space of all hyperbolic metrics on a surface, known as Teichmuller space.

Joseph Maher received his Bachelor’s degree from the University of Cambridge, and his PhD in Mathematics from the University of California, Santa Barbara. He has held visiting positions at the University of Melbourne, the California Institute of Technology and the Université du Québec à Montréal, and taught most recently at Oklahoma State University.