Raoul Bott | Academic Influence

Raoul Bott's AcademicInfluence.com Rankings

Raoul Bott

Mathematics

#28

World Rank

#89

Historical Rank

#7

USA Rank

Algebraic Topology

#2

World Rank

#4

Historical Rank

#1

USA Rank

Measure Theory

#392

World Rank

#573

Historical Rank

#168

USA Rank

mathematics Degrees

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Mathematics

Raoul Bott's Degrees

PhD Mathematics Columbia University

Why Is Raoul Bott Influential?

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According to Wikipedia, Raoul Bott was a Hungarian-American mathematician known for numerous foundational contributions to geometry in its broad sense. He is best known for his Bott periodicity theorem, the Morse–Bott functions which he used in this context, and the Borel–Bott–Weil theorem.

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Raoul Bott'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

Differential forms in algebraic topology (1982) (3057)
The Yang-Mills equations over Riemann surfaces (1983) (2150)
The moment map and equivariant cohomology (1984) (1191)
A Lefschetz Fixed Point Formula for Elliptic Complexes: I (1967) (643)
A Lefschetz Fixed Point Formula for Elliptic Complexes: II. Applications (1968) (444)
Homogeneous Vector Bundles (1957) (416)
Applications of the Theory of Morse to Symmetric Spaces (1958) (416)
Lectures on characteristic classes and foliations (1972) (343)
On the self‐linking of knots (1994) (305)
Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic sections (1965) (302)
An application of the Morse theory to the topology of Lie-groups (1956) (288)
THE STABLE HOMOTOPY OF THE CLASSICAL GROUPS. (1957) (287)
The Stable Homotopy of the Classical Groups (1959) (281)
On the parallelizability of the spheres (1958) (274)
On the iteration of closed geodesics and the sturm intersection theory (1956) (273)
Lacunas for hyperbolic differential operators with constant coefficients I (1970) (267)
Lectures on Morse theory, old and new (1982) (267)
Impedance Synthesis without Use of Transformers (1949) (233)
The space of loops on a Lie group. (1958) (227)
Singularities of holomorphic foliations (1972) (213)
On the rigidity theorems of Witten (1989) (161)
Nondegenerate Critical Manifolds (1954) (160)
Vector fields and characteristic numbers. (1967) (153)
Some remarks on the paper of Callias (1978) (149)
A residue formula for holomorphic vector-fields (1967) (138)
Morse theory indomitable (1988) (136)
The Index Problem for Manifolds with Boundary (1994) (123)
A Celebration of the Mathematical Legacy of Raoul Bott (2010) (120)
On the algebra of networks (1953) (119)
Problems on invariants of knots and 3-manifolds (2004) (118)
On a theorem of Lefschetz. (1959) (113)
On the Pontryagin product in spaces of paths (1953) (111)
Integral Invariants of 3-Manifolds (1997) (110)
On the de Rham theory of certain classifying spaces (1976) (100)
On the Chern-Weil homomorphism and the continuous cohomology of Lie-groups (1973) (99)
The Index Theorem for Homogeneous Differential Operators (1965) (96)
On the Zeroes of Meromorphic Vector-Fields (1970) (95)
On the periodicity theorem for complex vector bundles (1964) (89)
A Lefschetz fixed point formula for elliptic differential operators (1966) (85)
Integral invariants of 3-manifolds. II (1998) (76)
A note on theSamelson product in the classical groups (1960) (70)
Notes on the Lefschetz fixed point theorem for elliptic complexes (1964) (70)
THE COHOMOLOGY RING OF G/T. (1955) (68)
On characteristic classes of $\Gamma $-foliations (1972) (64)
Lectures on Algebraic and Differential Topology (1972) (62)
ON TORSION IN LIE GROUPS. (1954) (61)
On the third symmetric potency of S1 (1952) (59)
Lectures on K(X) (1969) (52)
The cohomology of the vector fields on a manifold (1977) (48)
On some formulas for the characteristic classes of group-actions (1978) (47)
Representation Theory of Lie Groups (1980) (41)
On Manifolds All of Whose Geodesics are Closed (1954) (36)
Surjectivity for Hamiltonian loop group spaces (2002) (36)
Marston Morse and his mathematical works (1980) (30)
Lacunas for hyperbolic differential operators with constant coefficients. II (1973) (29)
The periodicity theorem for the classical groups and some of its applications (1970) (29)
18. Symmetric Solutions to Majority Games (1953) (28)
On characteristic classes in the framework of Gel''fand-Fuks cohomology (1976) (27)
Representation Theory of Lie Groups: The geometry and representation theory of compact Lie groups (1980) (26)
A remark on the integral cohomology of BΓq (1972) (26)
On Some Recent Interactions Between Mathematics and Physics (1985) (20)
ON THE IMMERSION PROBLEM FOR REAL PROJECTIVE SPACES (2007) (20)
From Minimal Geodesics to Supersymmetric Field Theories (2010) (19)
Current Developments in Mathematics 1995 (1996) (18)
A note on the $KO$-theory of sphere-bundles (1962) (16)
ON SYMMETRIC PRODUCTS AND THE STEENROD SQUARES (1953) (16)
MICROBIOLOGY OF RECLAIMED WATER FROM SEWAGE FOR RECREATIONAL USE. (1965) (15)
On Induced Representations (1988) (14)
An Introduction to Equivariant Cohomology (1999) (13)
Yang-Mills and bundles over algebraic curves (1981) (13)
Some Aspects of Invariant Theory in Differential Geometry (2010) (13)
Morse theory and its application to homotopy theory (1960) (12)
Stable bundles revisited (1990) (12)
Correction to "Applications of the Theory of Morse to Symmetric Spaces" (1961) (10)
Morse Theoretic Aspects of Yang-Mills Theory (1980) (10)
Some Formulas Related to Complex Transgression (1970) (10)
Invariant differential operators and eigenspace representations (1980) (9)
Topics in Topology and Differential Geometry (1994) (9)
On E. Verlinde’s Formula in the Context of Stable Bundles (1991) (9)
On the shape of a curve (1975) (8)
The Harish-Chandra character (1980) (7)
Gel'fand-Fuks cohomology and foliations : proceedings of the eleventh annual Holiday Symposium at New Mexico State University, December 27-31, 1973 (1975) (7)
ON INVARIANTS OF MANIFOLDS (1996) (6)
Equivariant Morse Theory and the Yang-Mills Equation on Riemann Surfaces· (1980) (6)
Morse theory and the yang-mills equations (1980) (6)
An Elementary Theorem in Geometric Invariant Theory (1961) (5)
On the Fixed Point Formula and the Rigidity Theorems of Witten Lectures at Cargése 1987 (1988) (5)
An Equivariant Setting of the Morse Theory (1995) (4)
On Topology and Other Things (1985) (4)
On the Fixed Point Formula and the Rigidity Theorems of Witten (1987) (3)
LARS VALERIAN AHLFORS (1907-1996) (1998) (2)
Some Recollections from 30 Years Ago (1995) (2)
Integral geometry and representation theory (1980) (1)
Equivariant cohomology and equivariant characteristic numbers of a homogeneous space (2001) (1)
The Čech-de Rham Complex (1982) (1)
Book Review: The geometry and physics of knots (1992) (1)
On Mathematics and Physics (1995) (1)
On Characteristic Classes and Continuous Cohomology (1986) (1)
6 F eb 2 00 1 EQUIVARIANT CHARACTERISTIC CLASSES IN THE CARTAN MODEL (0)
Collected papers. Volume 1, Topology and Lie groups (1994) (0)
Design and construction of Big Dee poloidal coils and their support structure (1983) (0)
The topological constraints on analysis (1989) (0)
Variational methods in topology (published in Russian in 1982) based on a course which he taught to undergraduate and graduate students at Moscow State (2010) (0)
Mathematics related to physics (1995) (0)
A Fixed Point Theorem for Elliptic Complexes (1994) (0)
Topology and Lie groups (1994) (0)
Book reviews (2001) (0)
Cross‐Connection Control and Backflow Prevention in San Diego, Calif. (1965) (0)
Remarks Upon Receiving the Steele Career Prize at the Columbus Meeting of the A.M.S. (1995) (0)
Spectral Sequences and Applications (1982) (0)
Differenstial forms in algebraic topology / Raoul Bott, Loring W.Tu (1986) (0)
WASTE WATER RECLAIMED FOR RECREATIONAL USE AT SANTEE, CALIFORNIA. (1965) (0)
On Some Recent Developments in Yang—Mills Theory (1995) (0)
THE SUMMER MEETING IN ANN ARBOR (2007) (0)
Book Reviews (1929) (0)
AN ELEMENTARY THEOREM IN GEOMETRIC INVARIANT THEORY (2007) (0)
Lectures on algebraic and differential topology, delivered at the II. ELAM (1972) (0)
ALGEBRAIC TOPOLOGY AT THE STEKLOV MATHEMATICAL INSTITUTE OF THE ACADEMY OF SCIENCES OF THE USSR (2008) (0)
Bericht über das Symposium «Solids/liquids separation practice and the influence of new techniques» 1984 (1984) (0)
Integral Invariants of 3-manifolds. Ii Integral Invariants of 3-manifolds. Ii Integral Invariants of 3-manifolds. Ii (0)
Integral Invariants of 3-manifolds. Ii Integral Invariants of 3-manifolds. Ii Integral Invariants of 3-manifolds. Ii (0)
Dirac operators and K-theory for discrere groups (2008) (0)
Marston Morse Selected Papers (1981) (0)
APPLICATIONS OF AFFINE ROOT SYSTEMS TO THE THEORY OF SYMMETRIC SPACES 1 (2007) (0)
COMMITTEE ON PROFESSIONAL EDUCATION; REPORT OF THE CHAIRMAN, 1964. (1965) (0)
Equivariant characteristic classes in the Cartan model (2001) (0)
MICROBIOLOGYOF RECLAIMEDWATER FROM SEWAGE FOR RECREATIONALUSE (1965) (0)
Ahlfors ( 1907 – 1996 ) (1997) (0)
On Knot and Manifold Invariants (1992) (0)
THE ANNUAL MEETING OF THE SOCIETY The fifty-eighth Annual Meeting of the American Mathematical (2007) (0)

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