# Richard L. Bishop

Richard L. Bishop | |
---|---|

Born | c. 1932 (age 85–86) |

Nationality | American |

Alma mater |
Massachusetts Institute of Technology Case Institute of Technology |

Scientific career | |

Fields | Mathematics |

Institutions | University of Illinois at Urbana–Champaign |

Doctoral advisor | Isadore Singer |

Doctoral students | Stephanie B. Alexander |

**Richard Lawrence Bishop** (born c. 1932) is an American mathematician, a professor emeritus of mathematics at the University of Illinois at Urbana–Champaign.^{[1]} 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 B.S. in 1954. Next he earned his Ph.D. from the Massachusetts Institute of Technology in 1959, and immediately joined the UIUC faculty.^{[2]} His thesis, *On Imbeddings and Holonomy*, was supervised by Isadore Singer.^{[3]} At UIUC, his doctoral students included future UIUC colleague Stephanie B. Alexander.^{[3]} He is the author of *Geometry of Manifolds* (with Richard J. Crittenden, AMS Chelsea Publishing, 1964,^{[4]} translated into Russian 1967^{[5]} and reprinted 2001^{[6]}) and *Tensor Analysis on Manifolds* (with Samuel I. Goldberg, Macmillan, 1968,^{[7]} reprinted by Dover Books on Mathematics, 1980^{[8]}).

In 2013, Bishop became one of the inaugural fellows of the American Mathematical Society.^{[9]}

## References

- ↑ Emeritus faculty Archived 2014-07-14 at the Wayback Machine., UIUC Mathematics, retrieved 2014-06-16.
- ↑ Information from Bishop's web page at UIUC, retrieved 2014-06-16.
- 1 2 Richard Lawrence Bishop at the Mathematics Genealogy Project
- ↑ Review of
*Geometry of Manifolds*by W. Klingenberg, MR 0169148 - ↑ MR 0213981
- ↑ 1852066
- ↑ Review of
*Tensor Analysis on Manifolds*by T. J. Willmore, MR 0224010 - ↑ MR 0615912
- ↑ List of Fellows of the American Mathematical Society, retrieved 2014-06-16.