# John Morgan

#4,179

Most Influential Person Now

American mathematician

## John Morgan 's AcademicInfluence.com Rankings

John Morgan mathematics Degrees

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?

(Suggest an Edit or Addition)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.

## John Morgan 's Published Works

### 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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