John Morgan | Academic Influence

John Morgan 's AcademicInfluence.com Rankings

John Morgan

Mathematics

#183

World Rank

#423

Historical Rank

#83

USA Rank

Geometry

#13

World Rank

#28

Historical Rank

#5

USA Rank

Differential Geometry

#22

World Rank

#28

Historical Rank

#10

USA Rank

Group Theory

#40

World Rank

#51

Historical Rank

#11

USA Rank

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Mathematics

John Morgan 's Degrees

Bachelors Mathematics Stanford University

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Why Is John Morgan Influential?

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According to Wikipedia, John Willard Morgan is an American mathematician known for his contributions to topology and geometry. He is a Professor Emeritus at Columbia University and a member of the Simons Center for Geometry and Physics at Stony Brook University.

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John Morgan '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

Real homotopy theory of Kähler manifolds (1975) (913)
Ricci Flow and the Poincare Conjecture (2006) (546)
Vector Bundles and F Theory (1997) (543)
The Seiberg-Witten equations and applications to the topology of smooth four-manifolds (1995) (448)
Smooth Four-Manifolds and Complex Surfaces (1994) (440)
Valuations, Trees, and Degenerations of Hyperbolic Structures, I (1984) (406)
Rational Homotopy Theory and Differential Forms (1981) (364)
Group Actions On R‐Trees (1987) (286)
The algebraic topology of smooth algebraic varieties (1978) (278)
The Smith conjecture (1984) (276)
On Thurston''s uniformization theorem for three-dimensional manifolds (1984) (274)
Notes on supersymmetry (following Joseph Bernstein) (1999) (264)
Triples, Fluxes, and Strings (2001) (234)
Vector Bundles over Elliptic Fibrations (1997) (206)
On the diffeomorphism types of certain algebraic surfaces. I (1988) (203)
A product formula for the seiberg-witten invariants and the generalized thom conjecture (1996) (199)
The L[2]-moduli space and a vanishing theorem for Donaldson polynomial invariants (1994) (149)
Almost commuting elements in compact Lie groups (1999) (143)
Algebraic surfaces and Seiberg-Witten invariants (1995) (137)
The Transversality Characteristic Class and Linking Cycles in Surgery Theory (1974) (120)
Principal G bundles over elliptic curves (1997) (120)
A nodal basis for ¹ piecewise polynomials of degree ≥5 (1975) (108)
Degenerations of hyperbolic structures, III: Actions of 3-manifold groups on trees and Thurston’s compactness theorem (1988) (106)
Degenerations of hyperbolic structures, II: Measured laminations in 3-manifolds (1988) (98)
Product formulas along $T^3$ for Seiberg-Witten invariants (1997) (92)
Non-singular Morse–Smale flows on 3-dimensional manifolds (1979) (92)
Mirror Symmetry and Integral Variations of Hodge Structure Underlying One Parameter Families of Calabi-Yau Threefolds (2005) (87)
Comparison of the Donaldson polynomial invariants with their algebro-geometric analogues (1993) (87)
A Van Kampen Theorem for Weak Joins (1986) (80)
Completion of the Proof of the Geometrization Conjecture (2008) (80)
Recent progress on the Poincaré conjecture and the classification of 3-manifolds (2004) (77)
Generalized triangle groups (1987) (76)
Algebraic surfaces and 4-manifolds: Some conjectures and speculations (1988) (70)
Homotopy K3 surfaces and mod 2 Seiberg-Witten invariants (1997) (69)
Free actions of surface groups on R-trees (1991) (69)
Holomorphic principal bundles over elliptic curves (1998) (68)
Four-manifolds without symplectic structures but with nontrivial Seiberg-Witten invariants (1995) (68)
The Geometrization Conjecture (2014) (66)
Group actions on trees and the compactification of the space of classes of SO(n, 1)-representations (1986) (55)
A note on Donaldson's polynomial invariants (1992) (52)
Obstruction bundles, semiregularity, and Seiberg–Witten invariants (1995) (51)
Compact symplectic manifolds with free circle actions, and Massey products. (1991) (51)
The algebraic topology of smooth algebraic varieties (1986) (48)
Holomorphic Principal Bundles Over Elliptic Curves II: The Parabolic Construction (2000) (48)
Quadratic functions, the index modulo 8, and a Z4-Hirzebruch formula (1973) (45)
Exceptional groups and del Pezzo surfaces (2000) (34)
Complex versus differentiable classification of algebraic surfaces (1989) (32)
Mathematics Underlying the F-Theory/Heterotic String Duality in Eight Dimensions (2003) (31)
$\Lambda $\<-Trees and Their Applications (1992) (30)
The Pontrjagin Dual of 3-Dimensional Spin Bordism (2016) (28)
Gauge theory and the topology of four-manifolds (1997) (27)
Relative growth rates of closed geodesics on a surface under varying hyperbolic structures (1993) (25)
${\rm SO}(3)$-invariants for 4-manifolds with $b\sp +\sb 2=1$. II (1994) (24)
Seiberg-Witten invariants (2001) (24)
On the $C^\infty$ invariance of the canonical classes of certain algebraic surfaces (1987) (23)
Ricci Flow and Geometrization of 3-Manifolds (2010) (23)
Chapter X Finite Group Actions on Homotopy 3-Spheres (1984) (22)
Chapter I The Smith Conjecture (1984) (21)
Homotopy theoretic consequences of N. Levitt’s obstruction theory to transversality for spherical fibrations (1976) (18)
On the mixed Hodge structure associated to $\pi _3$ of a simply connected complex projective manifold (1981) (17)
Ergodic theory and free actions of groups on ℝ-trees (1988) (16)
On the diffeomorphism classification of regular elliptic surfaces (1993) (16)
Algebraic topology of Calabi–Yau threefolds in toric varieties (2006) (15)
Concordance classes of regularO(n)-actions on homotopy spheres (1980) (15)
Transversality structures and P. L. structures on spherical fibrations (1972) (14)
Holomorphic Principal Bundles Over Elliptic Curves III: Singular Curves and Fibrations (2001) (14)
EMBEDDED TORI IN FOUR-MANIFOLDS (1999) (13)
An introduction to compactifying spaces of hyperbolic structures by actions on trees (1985) (12)
Differential topology of complex surfaces : elliptic surfaces with P[g]=1: smooth classification (1993) (12)
Correction to: A cochain level proof of Adem relations in the mod 2 Steenrod algebra (2020) (12)
The Dimension of the Space of C¹ Piecewise Polynomials (1996) (12)
Minuscule representations, invariant polynomials, and spectral covers (2000) (10)
On the converse to a theorem of Atiyah and Bott (2000) (9)
Quadratic Functions of Cocycles and Pin Structures (2018) (9)
ON THE C°° INVARIANCE OF THE CANONICAL CLASSES OF CERTAIN ALGEBRAIC SURFACES (2007) (8)
Complexity of 4-dimensional h-cobordisms (1999) (8)
Holomorphic bundles over elliptic manifolds (1999) (7)
The VE Electro-Mechanical Car Brake for Windmills (and Railways) (2012) (7)
Differential Topology Of Complex Surfaces (1993) (7)
Energy and Timing Advantages of Highly Non-Linear EMB Actuation (2013) (7)
Embedded genus-2 surfaces in four-manifolds (1997) (7)
Groups acting freely on R-trees (1991) (7)
Wheel Optimized Brake Torque at the VE Mechatronic Brake (2011) (7)
Corrections to : “The algebraic topology of smooth algebraic varieties” (1986) (6)
Correction to Section 19.2 of Ricci Flow and the Poincare Conjecture (2015) (5)
The rational homotopy theory of smooth, complex projective varieties (following Deligne, Griffiths, Morgan, and Sullivan [2]) (1975) (5)
The Topology of Elliptic Surfaces (1994) (5)
Topological triviality of various analytic families (1983) (5)
Automorphism sheaves, spectral covers, and the Kostant and Steinberg sections (2002) (4)
Donaldson Polynomials of Elliptic Surfaces (1994) (3)
The Poincaré Conjecture (2006) (3)
S0(3)-INVARIANTS FOR 4-MANIFOLDS WITH b+ = 1. II (2008) (2)
Stable tangential homotopy equivalences (1969) (2)
Installation and operating experience of a gas engine-driven chiller with engine heat recovery (1989) (2)
Part 1 : Classical Fields and Supersymmetry (1)
A cochain level proof of Adem relations in the mod 2 Steenrod algebra (2021) (1)
Generating Dynamic Aircraft Hazard Areas for Commercial Space Operations (2020) (1)
Trees and Hyperbolic Geometry (2010) (1)
2. Clifford Algebras and Spin Groups (1995) (1)
Representatives for classes in the image of the ν-map (1993) (0)
Quillen’s Work on Rational Homotopy Theory (2013) (0)
On the Diffeomorphism Types of Certain Elliptic Surfaces (2020) (0)
Certain moduli spaces for bundles on elliptic surfaces with p g = 1 (1993) (0)
ON QUANTUM FIELDS AND STRINGS FOR MATHEMATICIANS (2001) (0)
Homotopy Theory of DGAs (2013) (0)
Postnikov Towers and Rational Homotopy Theory (2013) (0)
3. Spin Bundles and the Dirac Operator (1995) (0)
Chapter III An Outline of the Proof (1984) (0)
Holomorphic Vector Bundles, Stability, and Gauge Theory (1994) (0)
6. The Seiberg-Witten Invariant (1995) (0)
deRham’s Theorem for Simplicial Complexes (2013) (0)
7. Invariants of Kahler Surfaces (1995) (0)
DGAs and Rational Homotopy Theory (2013) (0)
Differential Graded Algebras (2020) (0)
The blow-up formula (1993) (0)
The Fundamental Group (2013) (0)
Donaldson Polynomials of Algebraic Surfaces (1994) (0)
The Kodaira Classification of Surfaces (1994) (0)
Correction to: A cochain level proof of Adem relations in the mod 2 Steenrod algebra (2022) (0)
Ricci flow and Thurston’s geometrization conjecture (with notes by Max Lipyanskiy) (2009) (0)
Glossary 7 Part 1 : Classical Fields and Supersymmetry (0)
CW Homology Theorem (2013) (0)
5. Curvature Identities and Bounds (1995) (0)
1 3 N ov 2 00 0 Minuscule Representations , Invariant Polynomials , and Spectral Covers (2002) (0)
Computation of donaldson invariants for elliptic surfaces of geometric genus one (1995) (0)
Big Diffeomorphism Groups and Minimal Models (1994) (0)
The Hirsch Lemma (2013) (0)
Dynamic Contour Generation for Commercial Space Launch Operations (2021) (0)
GROUP ACTIONS ON U -TREES (2006) (0)
Development of a gas engine-driven chiller. Annual report, November 1986-December 1987 (1988) (0)
Se p 20 00 Exceptional Groups and del Pezzo Surfaces (2008) (0)
NOISE AND VIBRATION ASSESSMENT OF THE GAUTRAIN RAPID RAIL LINK (2003) (0)
Development of a gas engine-driven chiller. Annual report, January 1988-November 1988 (1989) (0)
Nashville's Performance-Based I/I Reduction Contract (2002) (0)
Chapter II History of the Smith Conjecture and Early Progress (1984) (0)
Examples and Computations (2013) (0)
The proof of Theorem 1.1.1 (1993) (0)
4. The Seiberg-Witten Moduli Space (1995) (0)
The Whitehead Theorem and the Hurewicz Theorem (2013) (0)
Critères pour l'indépendance algébrique . Metaplectic correspondence . Quadratic vector fields in the plane have a finite number of limit cycles . C[k]-conjugacy of holomorphic flows near a singularity . Correction to the algebraic topology of smooth algebraic varieties (1986) (0)
Unstable polynomials of algebraic surfaces (1993) (0)
Definition of the Polynomial Invariants (1994) (0)
Identification of δ3,r (S, H) with γ3(S) (1993) (0)
Development of a gas engine-driven chiller (1989) (0)
Eilenberg–MacLane Spaces, Cohomology, and Principal Fibrations (2013) (0)
Spectral Sequence of a Fibration (2013) (0)

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