William Goldman is a mathematician known for his work in differential geometry, and particularly in the study of geometric structures on manifolds. He has made significant contributions to the fields of hyperbolic geometry and mathematical physics. His research often intersects with the study of 3-manifolds and relates to various aspects of topology and geometry. Goldman is also recognized for his work on the theory of Fuchsian groups and their connections to the geometrical and topological properties of surfaces.

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