Richard L. Bishop


Richard Lawrence Bishop is an American mathematician, a professor emeritus of mathematics at the University of Illinois at Urbana–Champaign. The Bishop–Gromov inequality in Riemannian geometry is named after him.
Bishop went to Case Institute of Technology as an undergraduate, earning a B.S. in 1954. Next he earned his Ph.D. from the Massachusetts Institute of Technology in 1959, and immediately joined the UIUC faculty. His thesis, On Imbeddings and Holonomy, was supervised by Isadore Singer. At UIUC, his doctoral students included future UIUC colleague Stephanie B. Alexander. He is the author of Geometry of Manifolds and Tensor Analysis on Manifolds.
In 2013, Bishop became one of the inaugural fellows of the American Mathematical Society.