Robert Clifford Gunning (born 27 November 1931) is an American mathematician. He is a professor of mathematics at

Princeton University Princeton University is a private university, private Ivy League research university in Princeton, New Jersey, United States. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial ...

, specializing in

complex analysis Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers. It is helpful in many branches of mathematics, including algebraic ...

, who introduced indigenous bundles.

Education and career

Gunning was born in Longmont,

Colorado Colorado is a U.S. state, state in the Western United States. It is one of the Mountain states, sharing the Four Corners region with Arizona, New Mexico, and Utah. It is also bordered by Wyoming to the north, Nebraska to the northeast, Kansas ...

, and attended to high school in his hometown. In 1947 he was admitted into the

University of Colorado The University of Colorado (CU) is a system of public universities in Colorado. It consists of four institutions: the University of Colorado Boulder, the University of Colorado Colorado Springs, the University of Colorado Denver, and the U ...

, graduating with a bachelor's degree in 1952. For his graduate studies he went to

, where he earned his Ph.D. in 1955 under

Salomon Bochner Salomon Bochner (20 August 1899 – 2 May 1982) was a Galizien-born mathematician, known for work in mathematical analysis, probability theory and differential geometry. Life He was born into a Jewish family in Podgórze (near Kraków), th ...

with thesis ''A classification of factors of automorphy''. He then taught at the

University of Chicago The University of Chicago (UChicago, Chicago, or UChi) is a Private university, private research university in Chicago, Illinois, United States. Its main campus is in the Hyde Park, Chicago, Hyde Park neighborhood on Chicago's South Side, Chic ...

and in 1956 as Higgins-Lecturer at Princeton University. At Princeton, Gunning became in 1957 assistant professor, in 1962 associate professor, and in 1966 professor. He was a visiting professor in São Paulo in 1958, Cambridge in 1959/60, Munich in 1967, Oxford in 1968, Boulder in 1970, and Los Angeles in 1972. Gunning is known as the author of important books on functions of several complex variables. From 1958 to 1961 he was a Sloan Research Fellow. He served as Princeton University's dean of the faculty from 1989 to 1995. In 2003 he received Princeton University's prize for outstanding teaching. For a number of years he was an editor for

Princeton University Press Princeton University Press is an independent publisher with close connections to Princeton University. Its mission is to disseminate scholarship within academia and society at large. The press was founded by Whitney Darrow, with the financial ...

and for the Annals of Mathematical Studies. He was also the editor of the collected works of Salomon Bochner. In 1970 he was an invited speaker at the International Mathematical Congress in

Nice Nice ( ; ) is a city in and the prefecture of the Alpes-Maritimes department in France. The Nice agglomeration extends far beyond the administrative city limits, with a population of nearly one million Riemann surface In mathematics, particularly in complex analysis, a Riemann surface is a connected one-dimensional complex manifold. These surfaces were first studied by and are named after Bernhard Riemann. Riemann surfaces can be thought of as deformed vers ...

s''). Among his doctoral students are Sheldon Katz, Henry Laufer, Richard S. Hamilton, Yum-Tong Siu, and Michael Eastwood. In 2012 he became a fellow of the

American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...

Selected works

* ''Analytic functions of several complex variables''. Prentice-Hall 1965. * ''Lectures on Riemann Surfaces''. Princeton University Press 1966. * ''Lectures on Vector Bundles over Riemann Surfaces''. Princeton University Press 1967. * ''Riemann Surfaces and generalized Theta Functions''. Springer, Ergebnisse der Mathematik und ihrer Grenzgebiete, 1976. * ''On uniformization of complex manifolds: The role of connections'', Princeton University Press 1978 * ''Introduction to holomorphic functions of several variables''. 3 vols., Wadsworth and Brooks/Cole, 1990. * ''An Introduction to Analysis, Princeton University Press'', 2018.

References

External links

Robert Gunning's homepage
{{DEFAULTSORT:Gunning, Robert 1931 births Living people 20th-century American mathematicians 21st-century American mathematicians Fellows of the American Mathematical Society University of Colorado Boulder alumni Princeton University alumni Princeton University faculty Complex analysts Sloan Research Fellows People from Longmont, Colorado Mathematicians from Colorado