Donald C. Spencer

Donald C. Spencer's AcademicInfluence.com Rankings

Donald C. Spencer

Mathematics

#294

World Rank

#633

Historical Rank

#143

USA Rank

Measure Theory

#1078

World Rank

#1386

Historical Rank

#394

USA Rank

mathematics Degrees

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Mathematics

Why Is Donald C. Spencer Influential?

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According to Wikipedia, Donald Clayton Spencer was an American mathematician, known for work on deformation theory of structures arising in differential geometry, and on several complex variables from the point of view of partial differential equations. He was born in Boulder, Colorado, and educated at the University of Colorado and MIT.

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Donald C. Spencer'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

On Deformations of Complex Analytic Structures, II (1958) (703)
Functionals of Finite Riemann Surfaces (1954) (310)
ON DEFORMATIONS OF COMPLEX ANALYTIC STRUCTURES, III. STABILITY THEOREMS FOR COMPLEX STRUCTURES (1960) (301)
Overdetermined systems of linear partial differential equations (1969) (195)
On Sets of Integers Which Contain No Three Terms in Arithmetical Progression. (1942) (152)
On the Existence of Deformations of Complex Analytic Structures (1958) (150)
Coefficient Regions for Schlicht Functions (1950) (119)
Ordered rearrangement of variable region genes of the T cell receptor gamma locus correlates with transcription of the unrearranged genes (1993) (115)
The force of impact on a cone striking a water surface (vertical entry) (1951) (85)
The coefficients of schlicht functions (1943) (81)
A theorem of completeness for complex analytic fibre spaces (1958) (75)
The role of viral enhancer "core" motif-related sequences in regulating T cell receptor-gamma and -delta gene expression. (1993) (75)
Deformation of Structures on Manifolds Defined by Transitive, Continuous Pseudogroups Part I: Infinitesimal Deformations of Structure (1962) (66)
A theorem of completeness of characteristic systems of complete continuous systems (1959) (64)
Complex boundary value problems (1952) (50)
Lie Equations, Vol. I: General Theory. (Am-73) (1972) (47)
Predominant variable region gene usage by gamma/delta T cell receptor- bearing cells in the adult thymus (1988) (46)
A Function-Theoretic Identity (1943) (46)
Deformation of Structures on Manifolds Defined by Transitive, Continuous Pseudogroups. Part III: Structures Defined by Elliptic Pseudogroups (1965) (43)
The Lattice Points of Tetrahedra (1942) (42)
Extremal Methods in Cavitational Flow (1952) (37)
Identification of a T-cell-specific transcriptional enhancer located 3' of C gamma 1 in the murine T-cell receptor gamma locus. (1991) (35)
Divisor Class Groups on Algebraic Varieties. (1953) (35)
Groups of Complex Line Bundles Over Compact Kähler Varieties. (1953) (35)
The flow of an ideal incompressible fluid about a lens (1947) (27)
On the non-linear cohomology of Lie equations. I (1976) (27)
COMPLEX NEUMANN PROBLEMS (1957) (24)
On a Theorem of Lefschetz and the Lemma of Enriques-Severi-Zariski. (1953) (23)
On Arithmetic Genera of Algebraic Varieties. (1953) (21)
46. Existence of Complex Structure on a Differentiable Family of Deformations of Compact Complex Manifolds (1959) (20)
On a Hardy-Littlewood problem of diophantine approximation (1939) (17)
On finitely mean valent functions. II (1940) (17)
Stability theorems for complex structures (1959) (17)
A variational method in conformal mapping (1947) (16)
42. On The Variation of Almost-Complex Structure (1957) (15)
A complex tensor calculus for Kähler manifolds (1953) (15)
On Mean One-Valent Functions (1941) (14)
The coefficient regions of schlicht functions (1949) (13)
On the nonlinear cohomology of Lie equations. III (1978) (13)
On Finitely Mean Valent Functions (1942) (13)
Complex Analysis and Algebraic Geometry: Submanifolds and Over-determined Differential Operators (1977) (13)
Chain homotopy and the de Rham theory (1956) (11)
Localized cervical venectasis: presented as a neck tumor. (1962) (11)
Control of gamma delta T-cell development. (1991) (10)
The Coefficients of Schlicht Functions: IV. (1946) (7)
Cohomology and the Riemann-Roch Theorem. (1953) (6)
Some problems in conformal mapping (1947) (6)
De Rham theorems and Neumann decompositions associated with linear partial differential equations (1964) (5)
A property of pseudo-conformal transformations in the neighborhood of boundary points (1942) (5)
Heat Conduction on Arbitrary Riemannian Manifolds. (1953) (4)
Protein Compartmentalization (1986) (4)
Harmonic Tensors on Manifolds with Boundary. (1951) (4)
Some Remarks on Perturbation of Structure (1960) (3)
The Coefficients of Schlicht Functions: III. (1946) (3)
The influence of gaps on density of integers (1942) (3)
A Generalization of a Theorem of Hodge. (1952) (3)
Systems of linear partial differential equations and deformation of pseudogroup structures (1974) (3)
Technical considerations in the resection of aneurysms of the ascending aorta, transverse arch and upper descending thoracic aorta. (1962) (3)
Contributions to the Theory of Riemann Surfaces. (AM-30) (1953) (2)
On distortion in pseudo-conformal mapping (1942) (2)
DEFORMATION OF PSEUDOGROUP STRUCTURES. (1961) (2)
On an Inequality of Grunsky. (1940) (2)
THE THEOREM OF RIEMANN-ROCH FOR ADJOINT SYSTEMS ON KÄHLERIAN VARIETIES (1953) (2)
Game playing with BASIC (1977) (2)
Note on Mean One-valent Functions (1942) (1)
Flat differential operators (1971) (1)
On Green's operators (1952) (1)
On a Theorem of Rengels (1941) (1)
Cauchy's Formula on Kähler Manifolds. (1952) (1)
Note on some Function‐Theoretic Identities (1940) (1)
Experimental considerations of deep hypothermia in animals. (1962) (1)
REAL AND COMPLEX OPERATORS ON MANIFOLDS (1953) (1)
Review: J. E. Littlewood, Lectures on the theory of functions (1946) (1)
On the non-linear cohomology of Lie equations. II (1976) (1)
A General Class of Problems in Conformal Mapping. (1947) (1)
Effect of acute and chronic constriction of the celiac axis in the dog. (1961) (0)
Chapter I. Jet Sheaves and Differential Equations (1973) (0)
Acute and chronic effects of constricting the superior mesenteric artery in the experimental animal. (1962) (0)
A quick look at Basic (1977) (0)
Chapter V. Derivations of Jet Forms (1973) (0)
Remark on formal exterior differentiation (1965) (0)
Book Reviews: Dirichlet's Principle, Conformal Mapping, and Minimal Surfaces (1951) (0)
Some Remarks Concerning the Coefficients of Schlicht Functions (1942) (0)
Curvatures associated with differential operators (1974) (0)
A COMPLEX TENSOR CALCULUS FOR KAHLER (2006) (0)
Correction to Deformation of Structures on Manifolds Defined by Transitive, Continuous Pseudogroups. Part I: Infinitesimal Deformations of Structure (1963) (0)
New technique for venotomy in pediatric surgery. (1962) (0)
8. Applications of the Variational Method (1955) (0)
Using BASIC in the classroom (1978) (0)
Effects of acute and chronic constriction of the celiac axis in the dog. (1962) (0)
Chapter II. Linear Lie Equations (1973) (0)
1. Geometrical and Physical Considerations (1955) (0)
A convenient technic for storing, identifying, and transporting sterile catheters. (1962) (0)
Part I. An a priori estimate (1982) (0)
5. Surfaces Imbedded in a Given Surface (1955) (0)
6. Integral Operators (1955) (0)
3. Relations between Differentials (1955) (0)
7. Variations of Surfaces and of their Functionals (1955) (0)
Venotomy without Infection from Stitches (1961) (0)
Glossary of Symbols (1973) (0)
Arterial, Capillary, and Venous Phase Arteriography in the Evaluation of Renal Ischemia (1963) (0)
Dirichlet's Principle, Conformal Mapping, andMinimal Surfaces. R. Courant. New York: Interscience, 1950. 330 pp. $4.50 (1951) (0)
4. Bilinear Differentials (1955) (0)
Chapter IV. Non-Linear Complexes (1973) (0)
Calculation of friction factors (1936) (0)
Teacher's manual for BASIC : a unit for secondary schools (1980) (0)
B. Deformation Theory of Lie Structures (1973) (0)
On Distortion in Axalytic Transformations (1941) (0)
A. Integrability of Lie Structures (1973) (0)
9. Remarks on Generalization to Higher Dimensional Kähler Manifolds (1955) (0)
Chapter III. Derivations and Brackets (1973) (0)
2. Existence Theorems for Finite Riemann Surfaces (1955) (0)

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