Donald C. Spencer
(1912–2001)
a Honorary Member of the Diffiety Institute
Personal data
Born:
Boulder, Colorsdo,USA
April 25, 1912 Married to
Mary J. Halley
July 25, 1936 Children: Maredith, Marianne Married 2nd to
Natalie Robertson Sanborn
July 7, 1951 Child: Donald Clayton
Education
B.A.,
University of Colorado,
1934 B.S.,
Massachusetts Institute of Technology,
1936 Ph. D.,
Cambridge University, England,
1939 Sc. D.,
Cambridge University, England,
1963
Professional Experience
Instructor, Massachusetts Institute of Technology, 1939-1942 Associate Professor, Stanford University, 1942-1946 Member of Applied Mathematics Group, New York University, 1944-1945 Professor, Stanford University, 1946-1950, 1963-1968 Associate Professor, Princeton University, 1950-1953 Professor, Princeton University, 1953-1963, 1968-1978 Eugene Higgins Professor of Mathematics,
Princeton University, 1971-1972 Henry Burchard Fine Professor of Mathematics,
Princeton University, 1972-1978 Henry Burchard Fine Professor of Mathematics, emeritus,,
Princeton University, 1978-
Honors and distinctions
Sc.D. honoris causa, Purdue University, 1971 Scott visiting professor of mathematics,
University of Pensilvania, Fall, 1964 Fulbright grant for study and lecturing, Colle`ge de France, 1954-1955 Joint recipient with A.C. Schaeffer of the Bocher Memorial
Prize, American Mathematical Society, 1948 Phi Beta Kappa, University of Colorado, 1933
Other Relevant Information
Member of National Academy of Sciences, USA, 1961- Fellow of American Academy of Arts and Sciences, USA, 1967- Member of Editorial Board, Proceedings of the National
Academy of Sciences, USA, 1965-1967 Member of Editorial Board, Annals of Mathematics, 1958-1962 Member of Editorial Board, Transactions of the American Mathematical
Society, 1950-1955 Member of Editorial Board, American Journal of Mathematics,
1967-1975 Member of Editorial Board, Journal of Differential Geometry,
1967-1981 Colloquium Lecturer, American Mathematical Society,
Summer meeting of 1968 Lecturer, VIII S'eminaire de Math'ematiques Sup'erieures,
University of Montreal Visiting Committee, Department of Mathematics, Massachusetts Institute of
Technology, Alumnus Member, 1968-1969 Co-editor (with S. Iyanaga), Global Analysis: Paper in
honor of K. Kodaira, University of Tokio Press and Princeton
University Press
Here
you can find papers by Joseph J. Kohn, Phillip A. Griffiths,
Hubert Goldschmidt, Enrico Bombieri, Bohous Cenkl, Paul Garabedian, and
Louis Nirenberg consecrated to the memory of Professor D. C. Spencer.
List of Ph.D. Students of Donald C. Spencer
Arthur Grad (1948)
Louis N. Howard (1953)
Pierre E. Conner (1955)
Robert Hermann (1956)
Joseph J. Kohn (1956)
Bruce L. Reinhart (1956)
Patrick X. Gallagher (1959)
Alan L. Mayer (1961)
Richard T. Bumby (1962)
Phillip A. Griffiths (1962)
Michael E. Ash (1963)
Joseph E. D'Atri (1964)
W. Stephen Piper (1966)
William J. Sweeney (1966)
Roger A. Horn (1967)
Frank W. Owens (1967)
Barry MacKichan (1968)
Laird E. Taylor (1968)
Sherman H. C. Hsiao (1972)
Robert J. V. Jackson (1972)
Robert E. Knapp (1972)
Charles Rockland (1972)
Constantin N. Kockinos (1973)
Marshall W. Buck (1974)
Suresh H. Moolgavkar (1975)
John E. Lindley (1977)
Jack F. Conn (1978)
Bibliography of the publications of D. C. Spencer
I. Books and Monographs
(with A. C. Schaeffer). Coefficient Regions for Schlicht Functions,
Amer. Math. Soc. Colloq. Publ., Vol. 35, New York, 1950, 311 pp.
(with M.Schiffer). Functionals of Finite Riemann Surfaces,
Princeton University Press, 1954, 451 pp.
(with H. K. Nickerson and N. E. Steenrod). Advanced Calculus,
Van Nostrand, Princeton, New Jersey, 1959, 540 pp.
(with A. Kumpera). Lie Equations. Volume I: General Theory,
Annals of Math. Studies, No. 73, Princeton University Press,
1972, 293 pp.
II. Papers
1939
On a Hardy-Littlewood problem of diophantine approximation,
Proc. Cambridge Philos. Soc. 35 (1939) 527-547.
1940
On finitely mean valent functions. II, Tram. Amer. Math. Soc.48 (1940) 418-435.
On an inequality of Grunsky, Proc. Nat. AweL Sci. U.S.A.
26 (1940) 616-621.
Note on some function-theoretic identities, J. London Math. Soc.
15 (1940) 84-86.
1941
On finitely mean valent functions, Proc. London Math. Soc. (2)47 (1941) 201-211.
On a theorem of Rengels, J. Math. Phys., Massachusetts fast.
Tech. 20 (1941) 118-123.
On distortion in analytic transformations, J. Math. Phys.,
Massachusetts Inst.Tech. 20 (1941)124-126.
On mean one-valent functions, Ann. of Math.42 (1941) 614-633.
Distortion in Conformal Mapping (mimeographed), Additional note to
lectures on conformal mapping of multiply-connected domains by S. Bergman,
Brown University, 1941, 11 pp.
1942
The lattice points of tetrahedra, J. Math, Phys., Massachusetts Inst.
Tech. 21 (1942) 189-197.
(with R. Salem). The influence of gaps on density of integers,
Duke Math. J.9 (1942) 855-872.
(with R. Salem). On sets of integers which contain no three terms in
arithmetical progression, Proc. Nat. Acad. Sci. U.S.A.28 (1942) 561-563.
Note on mean one-valent functions, J. Math. Phys., Massachusetts Inst.
Tech. 21 (1942) 178-188.
Some remarks concerning the coefficients of schlicht functions,
J. Math. Phys., Massachusetts Inst. Tech. 21 (1942) 63-68.
(with S. Bergman). On distortion in pseudo-conformal mapping,
Tram. Amer. Math. Soc.51 (1942) 133-163.
(with S. Bergman). A property of pseudo-conformal transformations in
the neighborhood of boundary points. Duke Math. J.9 (1942) 757-762.
1943
A function-theoretic identity, Amer. J. Math.65 (1943) 147-160.
(with A. C. Schaeffer). The coefficients of schlicht functions,
Duke Math. J.10 (1943) 611-635.
1945
(with A. C. Schaeffer). The coefficients of schlicht functions. II,
Duke Math. J.12 (1945) 107-125.
(with M. Shiftman). The Force of Impact on a Sphere Striking a Water
Surface: Approximation by the Flow about a Lens, 47 pp.;
Second Approximation, 83 pp.. Applied Math. Panel, National Defense
Research Committee, 1945 (Applied Mathematics Group, New York University,
Report Nos. 105 and 133).
1946
(with A. C. Schaeffer). The coefficients of schlicht functions. III,
Proc. Nat. Acad. Sci. U.S.A.32 (1946) 111-115.
1947
(with A. C. Schaeffer). A general class of problems in conformal mapping,
Proc. Nat. Acad. Sci. U.S.A.33 (1947) 185-189.
Some problems in conformal mapping, Bull. Amer. Math. Soc.53
(1947) 417-439.
(with A. C. Schaeffer). A variational method in conformal mapping,
Duke Math. J.14 (1947) 949-966.
(with M. Shiftman). The flow of an ideal incompressible fluid about a lens.
Quart. Appi. Math.5 (1947) 270-288.
1949
(with A. C. Schaeffer). The coefficients of schlicht functions. IV,
Proc. Nat. Acad. Sci. U.S.A.35 (1949) 143-150.
(with A. C. Schaeffer and M. Schiffer). The coefficient regions of schlicht
functions, Duke Math. J.16 (1949) 493-527.
1950
(with R. Salem). On sets which do not contain a given number of terms
in arithmetical progression, Nieuw Arch. Wisk. (2) 13 (1950)
133-143.
(with M. Schiffer) The coefficient problem for multiply-connected domains,
Ann. of Math.52 (1950) 362-402.
(with A. C. Schaeffer). Models illustrating the third coefficient region for
schlicht functions, Scripta Math.16 (1950) 67 - 71.
1951
(with J.A.Jenkms). Hyperelliptic trajectories, Ann. of Math.53 (1951) 4-35.
(with M. Schiffer), A variational calculus for Riemann surfaces,
Ann. Acad. Sci. Fenn. Ser. A I, No. 93, 1951, 9 pp.
(with M. Schiffer). On the conformal mapping of one Riemann surface
into another, Ann. Acad. Sci. Fenn. Ser. A I, No. 94, 1951, 10 pp.
(with G. F. D.Duff). Harmonic tensors on manifolds with boundary,
Proc. Nat. Acad. Sci. U.S.A.37 (1951) 614-619.
(with M. Schiffman). The force of impact on a cone striking a water
surface (vertical entry), Comm. Pure Appl. Math.4 (1951) 379-417.
1952
(with A. C. Schaeffer). Coefficient regions for schlicht functions,
Proc. Internal. Congress Math. (Cambridge, U.S.A., 1950), Amer.
Math. Soc., Vol. 11, 1952, 224-232.
(with A. C. Schaeffer). A variational method for simply-connected domains,
Construction and applications of conformal maps, Proc. Sympos.,
Nat. Bureau of Standards, Applied Math. Ser. No. 18, 1952, 189-191.
(with M. Schiffer). Some remarks on variational methods applicable to
multiply-connected domains.
Construction and applications of conformal maps, Proc. Sympos.,
Nat. Bureau of Standards, Applied Math. Ser. No. 18, 1952, 193-198.
(with G. F. D. Duff). Harmonic tensors on Riemannian manifolds with boundary,
Ann. of Math.56 (1952) 128-156.
(with P. R. Garabedian). Complex boundary value problems,
Trans. Amer. Math. Soc.73 (1952) 223-242.
A generalization of a theorem of Hodge, Proc. Nat. Acad. Sci. U.S.A.38 (1952) 533-534.
Cauchy's formula on Kahler manifolds, Proc. Nat. Acad. Sci. U.S.A.38 (1952) 76-80.
(with P. R. Garabedian). Extremal methods in cavitational flow, J.Rational Mech. Anal.1 (1952) 359-409.
1953
(with P. R. Garabedian). A complex tensor calculus for Kahler manifolds,
Acta Math.89 (1953) 279-331.
Heat conduction on arbitrary Riemannian manifolds, Proc. Nat. Aca. Sci
U.S.A.39 (1953) 327-330.
Real and complex operators on manifolds, Contributions to the theory of
Riemann surfaces, Annals of Math. Studies, No. 30, Princeton University
Press, 1953, 203-227.
Cohomology and the Riemann-Roch theorem, Proc. Nat. Acad. Sci. U.S.A.39 (1953) 660-669.
(with K. Kodaira). On arithmetic genera of algebraic varieties,
Proc. Nat. Acad. Sci. U.S.A.39 (1953) 641 -649.
(with K. Kodaira). Groups of complex line bundles over compact Kahler
varieties, Proc. Nat. Acad. Sci. U.S.A.39 (1953) 868-872.
(with K. Kodaira). Divisor class groups on algebraic varieties,
Proc. Nat. Acad. Sci. U.S.A.39 (1953) 872-877.
(with K. Kodaira). On a theorem of Lefschetz and the lemma of
Enriques-Severi-Zariski, Proc. Nat. Acad. Sci. U.S.A.39
(1953) 1273-1278.
1954
Dirichlet's principle on manifolds, Studies in Math. and Mech. presented
to Richard von Mises, Academic Press, New York, 1954, 127-134.
1955
Potential theory and almost-complex manifolds, Lectures on functions of
a complex variable. University of Michigan Press, 1955, 15-43.
1956
(with V.K.A.M. Gugenheim). Chain homotopy and the de Rham
theory, Proc. Amer. Math. Soc.7 (1956) 144-152.
1957
(with J. J. Kohn). Complex Neumann problems, Ann. of Math.66
(1957) 89-140.
(with K. Kodaira). On the variation of almost-complex structure,
Algebraic Geometry and Topology, Princeton University Press, 1957,
139-150.
1958
A spectral resolution of complex structure,
Sympos. Internac. Topologia Algebraica Mexico, 1958, 68-76.
(with K. Kodaira). On deformations of complex analytic structures. I, II,
Ann. of Math.67 (1958) 328-466.
(with K. Kodaira and L. Nirenberg). On the existence of deformations
of complex analytic structures, Ann. of Math.68 (1958) 450-459.
(with K. Kodaira). A theorem of completeness for complex analytic fibre spaces,
Acta Math.100 (1958) 281 -294.
1959
(with K. Kodaira). Existence of complex structure on a differentiable
family of deformations of compact complex manifolds, Ann. of Math.70 (1959) 145-166.
(with K. Kodaira). A theorem of completeness of characteristic systems
of complete continuous systems, Amer. J. Math.81 (1959)
477-500.
1960
Some remarks on perturbation of structure, Analytic Functions,
Princeton University Press, 1960, 67-87.
(with K. Kodaira). On deformations of complex analytic structures. III.
Stability theorems for complex structures, Ann. of Math.71
(1960) 43-76.
(with L. Nirenberg). On rigidity of holomorphic imbeddings,
Contributions to function theory (Internal. Colloq. Function Theory)
Tata Institute, Bombay, 1960, 133-137.
1961
(with K. Kodaira). Multifoliate structures, Ann. of Math.74
(1961) 52-100.
Some remarks on homological analysis and structures, Differential
Geometry, (Proc. Sympos. Pure Math. Vol. 3, Tucson, Arizona, 1960),
Amer. Math. Soc., 1961, 56-86.
Deformation of pseudogroup structures, Proc. Nat. Acad. Sci. U.S.A.47 (1961) 1205-1208.
Complex analysis, article in the 1961 printing of the Encyclopaedia
Britannica (listed under ANALYSIS, COMPLEX), 7 pp.
A type of formal exterior differentiation associated with psedogroups,
Scripta Math.26 (1961) 101-106.
Instrinsic formulation of the equation of structure of a transitive
continuous pseudogroup, Studies in Math. Anal. and Related Topics,
Stanford University Press, 1962, 373-376.
1963
Harmonic integrals and Neumann problems associated with linear partial
differential equations. Outlines of the joint Soviet-American Sympos.
on Partial Differential Equations,
August, 1963, Novosibirsk (Moscow, 1963) 253-260.
Existence of local coordinates for structures defined by elliptic
pseudo-groups, Differential Analysis (Papers presented at the Bombay
Colloq. 1964), Oxford University Press, 1964, 135-162.
Remark on formal exterior differentiation, J. Analyse Math.14
(1965) 433-442.
1966
The theory of harmonic integrals, Some Recent Advances in the Basic
Sciences, Vol. 1, Annual Sci. Conf. Proc. Belter Graduate School of
Sci., Yeshiva University, New York, 1966, 137-155.
Some remarks on overdetermined systems of linear partial differential
equations, Proc. Katata Conf. on the theory of partial differential
equations and on the theory of complex manifolds, Kyoto, 1966, 52-82.
On deformation of pseudogroup structures. Global Analysis
(Papers in Honor of K. Kodaira), Princeton University Press, 1969, 367-395.
1970
Uncoupled overdetermined systems, Global Analysis (Proc. Sympos. Pure
Math. Vol. 16, Berkeley, California, 1968), Amer. Math. Soc., 1970,
211-220.
1971
Overdetermined operators: Some remarks on symbols, Proc. Internal.
Congress Math. (Nice, France, 1970). Gauthier-Villars, Paris, Vol. 2,
1971, 251-256.
Flat differential operators, (Sympos. on Several Complex Variables,
Park City, Utah, 1970), Lecture Notes in Math., Vol. 184, Springer,
Berlin, 1971,85-108.
1974
(with A. Kumpera). Systems of Lineara Partial Differential Equations and
Deformation of Pseudogroup Structures, Seminaire math. superieure, 1969,
Presses Universite de Montreal, 1974, 100 pp.
(with H. Goldschmidt). Submanifolds and over-determined differential operators.
Complex Analysis and Algebraic Geometry (A collection of papers
dedicated to K. Kodaira), Iwanami Shoten Publishers and Cambridge University
Press, 1977, 319-356.
1978
(with H. Goldschmidt). On the non-linear cohomology of Lie equations. Ill, IV,
J. Differential Geometry13 (1978) 409-526.