In Memoriam: Richard Bishop

Professor Emeritus Richard Bishop passed away on Wednesday December 18. Dick was a prominent figure in differential and Riemannian geometry who made many influential contributions, especially in connection with Riemannian comparison theorems and the study of geodesic metric spaces with synthetic curvature bounds. One of his most well-known results was a volume comparison theorem for geodesic balls in a Riemannian manifold. This result has been referred to by some authors as the Bishop-Gromov Comparison Theorem due to the extensive subsequent use and application of the result by M. Gromov.

Dick wrote two books: Geometry of Manifolds (with Crittenden, 1964) and Tensor Analysis on Manifolds (with Goldberg, 1968).  He was a faculty member at UIUC from 1959 until his retirement in 1997. He was named an AMS Fellow in 2013. Dick remained actively engaged in research and the life of the department for many years after retirement. He was a wonderful colleague and a generous departmental citizen.