Solomon Lefschetz | Academic Influence

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Solomon Lefschetz

Mathematics

#87

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Measure Theory

#536

Historical Rank

mathematics Degrees

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Mathematics

Solomon Lefschetz's Degrees

PhD Mathematics Clark University

Why Is Solomon Lefschetz Influential?

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According to Wikipedia, Solomon Lefschetz was a Russian-born American mathematician who did fundamental work on algebraic topology, its applications to algebraic geometry, and the theory of non-linear ordinary differential equations.

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Solomon Lefschetz'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

Stability by Liapunov's Direct Method With Applications (1962) (1187)
Differential Equations: Geometric Theory (1958) (683)
Introduction to non-linear mechanics (1943) (606)
Stability of nonlinear control systems (1966) (420)
Contributions to the theory of nonlinear oscillations (1950) (231)
Introduction to Topology (1950) (220)
Qualitative Methods in Mathematical Analysis (1964) (100)
On certain numerical invariants of algebraic varieties with application to abelian varieties (1921) (93)
Topics in topology (1942) (92)
On Compact Spaces (1931) (79)
Intersections and transformations of complexes and manifolds (76)
Lectures on differential equations (1946) (56)
International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics (1963) (48)
Existence of Periodic Solutions for Certain Differential Equations. (1943) (45)
Applications of algebraic topology (1975) (35)
On the Fixed Point Formula (1937) (28)
Geometry on Ruled Surfaces (1914) (24)
On the existence of loci with given singularities (23)
Manifolds with a boundary and their transformations (1927) (22)
Theory and Applications of Liapunov's Direct Method, 1963 (1963) (22)
On analytical complexes (1933) (20)
On a theorem of Bendixson (1968) (18)
Applications of Algebraic Topology: Graphs and Networks, The Picard-Lefschetz Theory and Feynman Integrals (1975) (18)
Differential equations : geometric theory / Solomon Lefschetz (1977) (15)
On Locally Connected and Related Sets (1934) (15)
The early development of algebraic topology (1970) (12)
PLANAR GRAPHS AND RELATED TOPICS. (1965) (12)
Correspondences Between Algebraic Curves (11)
On Generalized Manifolds (1933) (11)
Continuous Transformations of Manifolds. (1923) (10)
Duality in Vector Spaces (1975) (10)
A page of mathematical autobiography (1968) (10)
A Theorem on Correspondences on Algebraic Curves (1928) (9)
On Automatic Controls (1960) (9)
Geometric differential equations - Recent past and proximate future. (1967) (8)
Chain-deformations in topology (1935) (8)
Continuous Transformations of Manifolds. (8)
Recent Soviet contributions to ordinary differential equations and nonlinear mechanics (1961) (7)
SOME MATHEMATICAL CONSIDERATIONS ON NONLINEAR AUTOMATIC CONTROLS (1962) (7)
On singular chains and cycles (1933) (6)
Complete families of periodic solutions of differential equations (1954) (6)
Closed Point Sets on a Manifold (6)
Recent Soviet contributions to mathematics (1962) (6)
On the Real Folds of Abelian Varieties. (1919) (5)
Homology theory of topological spaces (1942) (5)
Recent Advances in the Stability of Nonlinear Controls (1965) (5)
Liapunov Stability and Controls (1965) (5)
On Chains of Topological Spaces (1938) (5)
The role of algebra in topology (1937) (4)
Intersections of Complexes on Manifolds. (1925) (4)
A Direct Proof of De Moivre's Formula (1916) (4)
The Early Development of Algebraic Geometry (1969) (4)
Contributions to the Theory of Non-Linear Oscillations. II (1954) (3)
Witold Hurewicz, In memoriam (1957) (3)
On Transformations of Closed Sets (1930) (3)
On locally-connected and related sets. (Second paper) (1936) (3)
Transformations of Manifolds with a Boundary. (1926) (3)
Zariski on Algebraic Surfaces (1936) (3)
On critical sets (1935) (3)
Report on curves traced on algebraic surfaces (1923) (3)
On Separable Spaces (1932) (3)
Algebraic Surfaces, Theiry Cycles and Integrals (1920) (3)
Reminiscences of a Mathematical Immigrant in the United States (1970) (3)
ON THE DUALITY THEOREMS FOR THE BETTI NUMBERS OF TOPOLOGICAL MANIFOLDS. (1930) (3)
A correction to a propagating error in the Lurie problem (1967) (2)
On the $V_3^3$ with five nodes of the second species in $S_4$ (1912) (2)
Two Theorems on Conics (2)
The Arithmetic Genus of an Algebraic Manifold Immersed in Another (1916) (2)
The equation of Picard-Fuchs for an algebraic surface with arbitrary singularities (1915) (2)
The stability theory of Liapunov (1958) (2)
On the Functional Independence of Ratios of Theta Functions. (1927) (2)
The Residual Set of a Complex on a Manifold and Related Questions. (1927) (2)
On Locally Connected Sets and Retracts. (1938) (2)
A Theorem on Extremals: I. (1935) (1)
DUALITY RELATIONS IN TOPOLOGY. (1929) (1)
Introduction to general topology (1942) (1)
Note on the n-dimensional cycles of an algebraic n-dimensional variety (1915) (1)
THE SECOND ALL-SOVIET MATHEMATICAL CONGRESS. (1934) (1)
Double curves of surfaces projected from space of four dimensions (1912) (1)
The Picard-Lefschetz Theory (1975) (1)
Topological and Algebraic Considerations (1975) (1)
Topics in Topology. (AM-10) (1943) (1)
On Some Topological Properties of Plane Curves and a Theorem of Mobius (1913) (1)
Contributions to the Theory of Nonlinear Oscillations (Am-20), Volume I (1950) (1)
Severi's theory of the base for an algebraic surface (1970) (1)
Real Hypersurfaces Contained in Abelian Varieties. (1919) (1)
On Certain Properties of Separable Spaces. (1932) (1)
Topics in Topology. (AM-10) (Annals of Mathematics Studies) (1942) (1)
Errata: “Manifolds with a boundary and their transformations” [Trans. Amer. Math. Soc. 29 (1927), no. 2, 429–462; 1501397] (1927) (1)
Application of Chain-Deformations to Critical Points and Extremals. (1935) (1)
On the Mapping of Abstract Spaces on Polytopes. (1939) (1)
The Residual Set of a Complex on a Manifold and Related Questions (Second Note). (1927) (0)
Chapter VII. Abelian Differentials (1953) (0)
Algebra: 369-373 (1912) (0)
Intersections of chains on a manifold (1930) (0)
Chapter V. Further Properties of Homotopy. Fixed Points. Fundamental Group. Homotopy Groups (1949) (0)
Chapter IV. LOCAL CONNECTEDNESS AND RELATED TOPICS (1943) (0)
Introduction, a Survey of Some Topological Concepts (1949) (0)
TABLE OP CONTENTS (1943) (0)
Book Review: The Cambridge Colloquium, 1916, Part II. Analysis Situs (1924) (0)
The Sensitivity of Terminal Conditions of Optimal Control Systems to Parameter Variations (1965) (0)
Geometry: 417-419 (1913) (0)
A Theorem of Extremals: II. (1935) (0)
STUDY OF NONLINEAR MECHANICS. (1964) (0)
SPECIAL BIBLIOGRAPHY ON LOCAL CONNECTEDNESS AND RETRACTION (1943) (0)
Chapter VI. Linear Series (1953) (0)
On Remarkable Points of Curves (1912) (0)
Infinite complexes and their applications (1930) (0)
Chapter IV. Formal Power Series (1953) (0)
Complexes: Multiplications and intersections. Fixed elements. Manifolds (1942) (0)
Review: W. Sierpinski, Introduction to General Topology (1935) (0)
Topology of polyhedra and related questions (1942) (0)
Graphs. Geometric Structure (1975) (0)
Lectures by S. Lefschetz on algebraic geometry, 1937-1938 (1937) (0)
Chapter I. Algebraic Foundations (1953) (0)
Extension to Higher Varieties (1975) (0)
Chapter V. Algebraic Curves, their Places and Transformations (1953) (0)
Chapter I. POLYTOPES (1943) (0)
List of Symbols Most Frequently Used in the Text (1953) (0)
Topological invariance of the homology characters (1930) (0)
Chapter II. SINGULAR COMPLEXES (1943) (0)
List of Symbols (1949) (0)
Book Review: Algebraic Surfaces (1936) (0)
The Second Quadrennial Congress of the Mathematicians of the Slav Countries (1935) (0)
Nets of complexes (1942) (0)
Geometry: 403-405 (1912) (0)
Veblen on Analysis Situs (1924) (0)
Chapter IX. Systems of Curves on a Surface (1953) (0)
Chapter I. Basic Information about Sets, Spaces, Vectors, Groups (1949) (0)
II. On the Critical Points of a Class of Differential Equations (1958) (0)
Applications to analytical and algebraic varieties (1930) (0)
A Résumé of Linear Algebra (1975) (0)
Transformations of manifolds, their coincidences and fixed points (1930) (0)
Chapter III. Transformations of Algebraic Varieties (1953) (0)
Elementary combinatorial theory of complexes (1930) (0)
Manifolds and their duality theorems (1930) (0)
Complexes: Products. Transformations. Subdivisions (1942) (0)
GEOMETRIC DIFFERENTIAL EQUATIONS**Research reported on here was supported in part by the Air Force Office of Scientific Research - AFOSR 693–67B, United States Army Research Office - DA-31–124-ARO-D-270, and Office of Naval Research -NONR N0014–67-A-0191–0009. (1972) (0)
Geometry: 412-414 (1913) (0)
Chapter VIII. Abel's Theorem. Algebraic Series and Correspondences (1953) (0)
Pratical Geometry and Graphics.@@@Practical Mathematics (1913) (0)
Review: Lamberto Cesari, Asymptotic behavior and stability problems in ordinary differential equations (1960) (0)
Chapter III. Theory of Complexes (1949) (0)
Chapter IV. Transformations of Complexes. Simplicial Approximations and Related Questions (1949) (0)
Geometry: 406-408 (1912) (0)
Mathematics (1949) (0)
Chapter VI. Introduction to Manifolds. Duality Theorems (1949) (0)
Chapter II. Two-dimensional Polyhedral Topology (1949) (0)
Algebraic Surfaces, Their Cycles and Integrals. A Correction (1922) (0)
STUDY OF SOLUTION OF STABILITY PROBLEMS OF NONLINEAR SYSTEMS. (1963) (0)
Chapter II. Algebraic Varieties: Fundamental Concepts (1953) (0)
Chapter III. MAPPING AND IMBEDDING THEOREMS. RETRACTION (1943) (0)
The Society's notes (1973) (0)
Geometry: 409-411 (1912) (0)
LECTURE SERIES IN DIFFERENTIAL EQUATIONS, SESSION I. CONTROL THEORY (1965) (0)
Feynman Integrals. B. (1975) (0)
THE SECOND QUADRENNIAL CONGRESS OF THE MATHEMATICIANS OF THE SLAV COUNTRIES. (1935) (0)

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