# Solomon Lefschetz

#1,920

Most Influential Person Across History

Jewish American mathematician

## Solomon Lefschetz's AcademicInfluence.com Rankings

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Mathematics

## Solomon Lefschetz's Degrees

- PhD Mathematics Clark University

## Why Is Solomon Lefschetz Influential?

(Suggest an Edit or Addition)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.

## Solomon Lefschetz's Published Works

### 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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