Education
Massachusetts Institute of Technology. Case Western Reserve University.
Massachusetts Institute of Technology. Case Western Reserve University.
The Bishop–Gromov inequality in Riemannian geometry is named after him (with Mikhail Gromov). Bishop went to Case Institute of Technology as an undergraduate, earning a Bachelor of Surgery in 1954. Next he earned his Doctor of Philosophy 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.
He is the author of Geometry of Manifolds (with Richard J Crittenden, American Mathematical Society Chelsea Publishing, 1964, translated into Russian 1967 and reprinted 2001) and Tensor Analysis on Manifolds (with Samuel I Goldberg, Macmillan, 1968, reprinted by Dover Books on Mathematics, 1980). In 2013, Bishop became one of the inaugural fellows of the American Mathematical Society.
American Mathematical Society.