Robert C. Gunning | Academic Influence

Robert C. Gunning's AcademicInfluence.com Rankings

Robert C. Gunning

Mathematics

#1689

World Rank

#2713

Historical Rank

#691

USA Rank

Measure Theory

#2689

World Rank

#3213

Historical Rank

#776

USA Rank

mathematics Degrees

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Mathematics

Robert C. Gunning's Degrees

PhD Mathematics Princeton University

Why Is Robert C. Gunning Influential?

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According to Wikipedia, Robert Clifford Gunning is a professor of mathematics at Princeton University specializing in complex analysis, who introduced indigenous bundles. Gunning was born in Longmont, Colorado, and attended to high school in his hometown. In 1947 he was admitted into the University of Colorado, graduating with a bachelor's degree in 1952. For his graduate studies he went to Princeton University, where he earned his Ph.D in 1955 under Salomon Bochner with thesis A classification of factors of automorphy. He then taught at the University of Chicago 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.

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Robert C. Gunning's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Lectures on Vector Bundles over Riemann Surfaces. (1967) (191)
Lectures on Riemann surfaces (1969) (173)
Special coordinate coverings of Riemann surfaces (1967) (147)
Lectures on Modular Forms. (AM-48) (1962) (95)
Lectures on Riemann Surfaces: Jacobi Varieties (1966) (80)
Introduction to Holomorphic Functions of Several Variables: Local Theory (2018) (67)
Some curves in abelian varities (1982) (65)
Riemann surfaces and generalized theta functions (1976) (55)
Some Identities for Abelian Integrals (1986) (38)
Lectures on complex analytic varieties : the local parametrization theorem (1970) (34)
The Structure of Factors of Automorphy (1956) (30)
On Uniformization of Complex Manifolds: The Role of Connections (2015) (30)
Introduction to Holomorphic Functions of Several Variables, Volume II (1990) (27)
On the period classes of Prym differentials. I. (1980) (27)
Problems in Analysis: A Symposium in Honor of Salomon Bochner (PMS-31) (2015) (26)
Lectures on Complex Analytic Varieties: Finite Analytic Mappings. (1970) (25)
Theta functions, Bowdoin 1987 (1989) (24)
Analytic structures on the space of flat vector bundles over a compact riemann surface (1971) (20)
From fourier analysis and number theory to radon transforms and geometry : in memory of Leon Ehrenpreis (2013) (19)
Some special complex vector bundles over Jacobi varieties (1973) (14)
The eichler cohomology groups and automorphic forms (1961) (11)
ON GENERALIZED THETA FUNCTIONS (1982) (10)
Affine and Projective Structures on Riemann Surf Aces (1981) (10)
Riemann surfaces and their associated Wirtinger varieties (1984) (9)
Connections for a Class of Pseudogroup Structures (1965) (9)
On Vitali's Theorem for Complex Spaces with Singularities (1959) (8)
Factors of Automorphy and Other Formal Cohomology Groups for Lie Groups (1959) (6)
GENERAL FACTORS OF AUTOMORPHY. (1955) (5)
Local moduli for complex analytic vector bundles (1971) (5)
Modern methods in complex analysis : the Princeton conference in honor of Gunning and Kohn (1995) (5)
Theta Functions–Bowdoin 1987, Part 2 (1989) (3)
Collected papers of Salomon Bochner (1992) (3)
Local theory of several complex variables (1961) (3)
On Projective Covariant Differentiation (1981) (3)
Generalized Theta Functions (1976) (2)
EXISTENCE OF FUNCTIONALLY INDEPENDENT AUTOMORPHIC FUNCTIONS. (1955) (2)
Local Rings of Holomorphic Functions (2018) (2)
Homogeneous symplectic multipliers (1960) (2)
On Cartan's theoremsA andB in several complex variables (1961) (2)
Differential operators preserving relations of automorphy (1963) (1)
A performance comparison of coverage algorithms for simple robotic vacuum cleaners (2018) (1)
Lectures on Vector Bundles over Riemann Surfaces. (MN-6), Volume 6 (2020) (1)
A -Almost Automorphic Functions (2015) (1)
Some Non-Abelian Problems on Compact Riemann Surfaces (1968) (1)
Infinite Linear Pseudogroups of Transformations (1962) (1)
CHAPTER I. GEOMETRICAL BACKGROUND (1962) (0)
Visions of␣Infinity: The Great Mathematical Problems by Ian Stewart (2013) (0)
INDICES OF RANK AND OF SINGULARITY ON ABELIAN VARIETIES. (1957) (0)
Multipliers on complex homogeneous spaces (1957) (0)
Elementary Properties of Holomorphic Functions (2018) (0)
2. Finite analytic mappings with given domain (2015) (0)
10. Complex flat canonical structures on surfaces (2015) (0)
Oka’s Theorem. (2018) (0)
Special Classes of Plurisubharmonic Functions (2018) (0)
Pseudoconvex Subsets of ℂ d (2018) (0)
Plurisubharmonic and Holomorphic Functions (2018) (0)
Riemann Domains of Holomorphy (2018) (0)
Complex Manifolds and Vector Bundles (1976) (0)
Convergence Properties of Power Series (2018) (0)
CHAPTER VI. QUADRATIC FORMS (1962) (0)
Some Intrinsic Constructions on Compact Riemann Surfaces (2013) (0)
CHAPTER II. MODULAR FORMS (1962) (0)
6. Pseudogroup structures and their associated connections (2015) (0)
Local Parametrization of Holomorphic Varieties (2018) (0)
7. Complex analytic affine connections (2015) (0)
Stein spaces, sheaf theory (2009) (0)
Review: Makoto Namba, Families of meromorphic functions on compact Riemann surfaces (1981) (0)
Complex numbers and complex variables (2014) (0)
CHAPTER IV. EISENSTEIN SERIES (1962) (0)
3. Jacobi varieties and symmetric products of Riemann surfaces (2015) (0)
Holomorphic Vector Fields and Differential Equations (2018) (0)
The Legacy of Leon Ehrenpreis (2013) (0)
Holomorphic Varieties and Subvarieties (2018) (0)
Holomorphic Mappings and Complex Manifolds (2018) (0)
1. Marked Riemann surfaces and their canonical differentials (2015) (0)
Envelopes of Holomorphy and Riemann Domains (2018) (0)
§ 2. The group of k-jets and its Lie algebra (2015) (0)
CONES IN COMPLEX AFFINE SPACE ARE (2010) (0)
Visions of␣Infinity: The Great Mathematical Problems by Ian Stewart (2013) (0)
Normalization of Varieties (2018) (0)
Stein spaces, geometric theory (2009) (0)
Quadratic Periods of Hjperelliptic Abelian Integrals (2015) (0)
INDEX OF SYMBOLS (2015) (0)
Meromorphic Functions in ℂ n (2018) (0)
Finite Branched Holomorphic Coverings (2018) (0)
§ 4. The classification of tangentially transitive pseudogroups: algebraic aspects (2015) (0)
Book Review: Algebraic curves and Riemann surfaces (1996) (0)
Proper Holomorphic Mappings and Modifications (2018) (0)
Pseudoconvex Sets with Smooth Boundaries (2018) (0)
3. The pseudogroups defined by partial differential equations (2015) (0)
Appendix. Local cohomology groups of complements of complex analytic subvarieties. (2015) (0)
Preface. (2020) (0)
CHAPTER V. MODULAR CORRESPONDENCES (1962) (0)
2. Jacobi varieties and their distinguished subvarieties (2015) (0)
12. Complex projective structures on surfaces (2015) (0)
§ 4. Intersections in Jacobi varieties and Torelli’s theorem (2015) (0)
Book Review: Families of meromorphic functions on compact Riemann surfaces (1981) (0)
Appendix. On conditions ensuring that W2r (2015) (0)
§3· Finite analytic mappings with given range. (2015) (0)
CHAPTER III. POINCARÉ SERIES (1962) (0)
9. Complex analytic canonical connections (2015) (0)
Some Applications of Local Parametrization (2018) (0)
Correction to "Factors of Automorphy and Other Formal Cohomology Groups for Lie Groups" (1959) (0)
THE SCIENTIFIC WORK OF ROBERT C. GUNNING (1996) (0)
The theorem of Schwartz on Frechet spaces (2009) (0)
11. Complex affine structures on surfaces (2015) (0)
Holomorphic Functions on Varieties (2018) (0)
Pseudoconvexity and Holomorphic Convexity (2018) (0)
1. Finite analytic mappings (2015) (0)
Pluriharmonic and Plurisubharmonic Functions (2018) (0)
Partitions of unity (2009) (0)
8. Complex analytic projective connections (2015) (0)

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