Simon Donaldson
#453
Most Influential Person Now
English mathematician and Fields medalist
Simon Donaldson's AcademicInfluence.com Rankings
Simon Donaldsonmathematics Degrees
Mathematics
#17
World Rank
#67
Historical Rank
Differential Topology
#4
World Rank
#4
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Differential Geometry
#3
World Rank
#6
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Algebraic Geometry
#11
World Rank
#12
Historical Rank
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Mathematics
Simon Donaldson's Degrees
- PhD Mathematics University of Oxford
Why Is Simon Donaldson Influential?
(Suggest an Edit or Addition)According to Wikipedia, Sir Simon Kirwan Donaldson is an English mathematician known for his work on the topology of smooth four-dimensional manifolds, Donaldson–Thomas theory, and his contributions to Kähler geometry. He is currently a permanent member of the Simons Center for Geometry and Physics at Stony Brook University in New York, and a Professor in Pure Mathematics at Imperial College London.
Simon Donaldson'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
- Geometry of four-manifolds (1990) (1691)
- Anti Self‐Dual Yang‐Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles (1985) (1118)
- An application of gauge theory to four-dimensional topology (1983) (825)
- Scalar Curvature and Stability of Toric Varieties (2002) (815)
- Scalar Curvature and Projective Embeddings, I (2001) (638)
- Polynomial invariants for smooth four-manifolds (1990) (592)
- Twisted harmonic maps and the self-duality equations (1987) (457)
- Infinite determinants, stable bundles and curvature (1987) (425)
- A new proof of a theorem of Narasimhan and Seshadri (1983) (383)
- The orientation of Yang-Mills moduli spaces and 4-manifold topology (1987) (376)
- Kahler-Einstein metrics on Fano manifolds, I: approximation of metrics with cone singularities (2012) (370)
- Symplectic submanifolds and almost-complex geometry (1996) (368)
- Kahler-Einstein metrics on Fano manifolds, III: limits as cone angle approaches 2\pi\ and completion of the main proof (2013) (320)
- Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than 2 (2012) (310)
- Nahm's equations and the classification of monopoles (1984) (302)
- Gauge Theory in higher dimensions, II (2009) (277)
- Floer Homology Groups in Yang-Mills Theory (2002) (271)
- Lefschetz pencils on symplectic manifolds (1999) (270)
- Lower bounds on the Calabi functional (2005) (258)
- 4-MANIFOLDS AND KIRBY CALCULUS (Graduate Studies in Mathematics 20) By R OBERT E. G OMPF and A NDRÁS I. S TIPSICZ : 558 pp., US$65.00, ISBN 0-8218-0994-6 (American Mathematical Society, Providence, RI, 1999). (2001) (253)
- Instantons and geometric invariant theory (1984) (250)
- Connections, cohomology and the intersection forms of 4-manifolds (1986) (243)
- Irrationality and the $h$-cobordism conjecture (1987) (237)
- The Seiberg-Witten equations and 4-manifold topology (1996) (234)
- Kähler Metrics with Cone Singularities Along a Divisor (2011) (233)
- Gromov–Hausdorff limits of Kähler manifolds and algebraic geometry (2012) (216)
- Some numerical results in complex differential geometry (2005) (178)
- REMARKS ON GAUGE THEORY, COMPLEX GEOMETRY AND 4-MANIFOLD TOPOLOGY (1997) (178)
- Quasiconformal 4-manifolds (1989) (166)
- Constant Scalar Curvature Metrics on Toric Surfaces (2008) (161)
- Kahler geometry on toric manifolds, and some other manifolds with large symmetry (2008) (160)
- Connected sums of self-dual manifolds and deformations of singular spaces (1989) (142)
- Interior estimates for solutions of Abreu's equation (2004) (139)
- Scalar curvature and projective embeddings, II (2004) (138)
- Boundary value problems for Yang—Mills fields (1992) (136)
- Two-forms on four-manifolds and elliptic equations (2006) (125)
- Floer’s work on instanton homology, knots and surgery (1995) (122)
- Pin structures on low-dimensional manifolds (1991) (110)
- Extremal metrics on toric surfaces: a continuity method (2008) (108)
- Luttinger surgery along Lagrangian tori and non-isotopy for singular symplectic plane curves (2002) (108)
- Kahler-Einstein metrics and stability (2012) (104)
- Singular Lefschetz pencils (2004) (99)
- Holomorphic Discs and the Complex Mounge-Amperè equation (2001) (82)
- Lefschetz pencils and the canonical class for symplectic four-manifolds (2000) (76)
- Moment maps and diffeomorphisms (2002) (69)
- Stability, birational transformations and the Kahler-Einstein problem (2010) (60)
- Geometry of Low-dimensional Manifolds: Yang-Mills invariants of four-manifolds (1991) (54)
- Geometry of Low-Dimensional Manifolds (1991) (52)
- Self-dual connections and the topology of smooth 4-manifolds (1983) (52)
- Fundamental groups of complements of plane curves and symplectic invariants (2002) (51)
- Integral bounds on curvature and Gromov–Hausdorff limits (2011) (49)
- DIFFERENTIAL GEOMETRY OF COMPLEX VECTOR BUNDLES (1989) (49)
- Topological Field Theories and formulae of Casson and Meng{Taubes (1999) (46)
- Adiabatic Limits of Co-associative Kovalev–Lefschetz Fibrations (2016) (42)
- Nahm's equations and free-boundary problems (2007) (40)
- Fukaya-Floer homology and gluing formulae for polynomial invariants (1995) (34)
- Moment maps in differential geometry (2003) (34)
- Conjectures in Kahler geometry (2008) (33)
- The Ding Functional, Berndtsson Convexity and Moment Maps (2015) (31)
- Rational and ruled symplectic 4-manifolds (1991) (30)
- Discussion of the Kähler-Einstein problem (2009) (27)
- Gauge Theory and Four-Manifold Topology (1994) (25)
- TOPOLOGY AND ANALYSIS The Atiyah-Singer Index Formula and Gauge-Theoretic Physics (1986) (24)
- The approximation of instantons (1993) (22)
- Algebraic families of constant scalar curvature K\"ahler metrics (2015) (20)
- Numerical approximations to extremal metrics on toric surfaces (2008) (20)
- Calabi-Yau metrics on Kummer surfaces as a model glueing problem (2010) (18)
- On the topology of algebraic surfaces (1991) (17)
- Extremal metrics on toric surfaces, I (2006) (17)
- Symplectic Geometry: Complex cobordism, Ashtekar's equations and diffeomorphisms (1994) (15)
- Different faces of geometry (2004) (15)
- Compactification and completion of Yang-Mills moduli spaces (1989) (15)
- Stability of algebraic varieties and Kähler geometry (2017) (15)
- SOME RECENT DEVELOPMENTS IN KÄHLER GEOMETRY AND EXCEPTIONAL HOLONOMY (2018) (15)
- Conjectures in Kaehler geometry (2002) (14)
- Vector Bundles in Algebraic Geometry: Floer homology and algebraic geometry (1995) (14)
- COMPLEX DIFFERENTIAL GEOMETRY (AMS/IP Studies in Advanced Mathematics 18) By F ANGYANG Z HENG : 264 pp., US$49.00, ISBN 0-8218-2163-6 (American Mathematical Society/International Press, Providence, RI, 2000). (2002) (13)
- Some problems in differential geometry and topology (2008) (12)
- A note on the \alpha-invariant of the Mukai-Umemura 3-fold (2007) (10)
- Lectures on Lie groups and geometry (2008) (10)
- Volume estimates for K\"ahler-Einstein metrics and rigidity of complex structures (2011) (9)
- The Geometry of 4-Manifolds (2010) (9)
- The Geometry of 4-Manifolds (2010) (9)
- Lefschetz pencils and mapping class groups (2004) (9)
- Boundary value problems in dimensions seven, four and three related to exceptional holonomy (2017) (8)
- Flat algebraic manifolds (1991) (8)
- Deformations Of Multivalued Harmonic Functions (2019) (8)
- Complex curves and surgery (1988) (8)
- Lie Algebra Theory without Algebra (2007) (8)
- A generalised Joyce construction for a family of nonlinear partial differential equations (2008) (8)
- Gauge Theory: Mathematical Applications (2006) (7)
- Toric Anti-self-dual 4-manifolds Via Complex Geometry (2006) (7)
- Kahler-Einstein metrics and algebraic geometry (2017) (6)
- b-Stability and Blow-Ups (2011) (6)
- K\"ahler-Einstein metrics and algebraic structures on limit spaces (2016) (5)
- Remarks on $G_{2}$-manifolds with boundary (2018) (5)
- CHAPTER 14 – One Hundred Years of Manifold Topology (1999) (5)
- a Pseudoholomorphic Curve ? (2005) (4)
- Yang-Mills Theory and Geometry (2005) (4)
- On the Work of Louis Nirenberg (2011) (4)
- MATHEMATICAL USES OF GAUGE THEORY (2008) (4)
- Atiyah’s work on holomorphic vector bundles and gauge theories (2021) (3)
- Skyrme fields and instantons (1991) (3)
- Karen Uhlenbeck and the Calculus of Variations (2019) (3)
- Geometry of Low-Dimensional Manifolds : Symplectic Manifolds and Jones-Witten Theory (1991) (2)
- 4-Manifolds with indefinite intersection form (1985) (2)
- An elliptic boundary value problem for $G_{2}$ structures (2018) (2)
- An elliptic boundary value problem for G2-structures (2019) (2)
- The Yang-Mills equations on Kahler manifolds (1982) (2)
- THE FLOER MEMORIAL VOLUME (Progress in Mathematics 133) Edited by Helmut Hofer, Clifford H. Taubes, et al.: 685 pp., DM.138., ISBN 3 7643 5044 X (Birkhäuser, 1995) (1997) (2)
- HELICES AND VECTOR BUNDLES (Seminaire Rudakov) (1991) (2)
- Boundary Value Problems in Dimensions 7, 4 and 3 Related to Exceptional Holonomy (2018) (2)
- Geometry of Low-dimensional Manifolds: Representations of braid groups (1991) (1)
- Finite groups of hyperbolic isometries (1991) (1)
- Geometry of Low-dimensional Manifolds: Introduction (1991) (1)
- Floer homology groups in Yang–Mills theory: The Floer homology groups (2002) (1)
- Memories of Sir Michael Atiyah (2019) (1)
- A journey through the mathematical world of Karen Uhlenbeck (2022) (1)
- Geometry of low-dimensional manifolds 2, Sympletic manifolds and Jones-Witten theory / : proceedings of the Durham Symposium, July 1989. (1990) (1)
- Ordinary differential equations (2011) (0)
- Geometric And Functional Analysis CONSTANT SCALAR CURVATURE METRICS ON TORIC SURFACES (2009) (0)
- Topology and related topics (2017) (0)
- Elliptic functions and integrals (2011) (0)
- Geometry of Low-dimensional Manifolds: FLOER'S INSTANTON HOMOLOGY GROUPS (1991) (0)
- Applications of the Euler characteristic (2011) (0)
- Contrasts in Riemann surface theory (2011) (0)
- Floer homology groups in Yang–Mills theory: Floer homology and 4-manifold invariants (2002) (0)
- FOUR‐MANIFOLD THEORY (Contemporary Mathematics, 35). (1986) (0)
- Proof of the Main Theorem (2011) (0)
- The Work of Peter B. Kronheimer (1994) (0)
- Gauge theory and algebraic surfaces : proceedings of the Durham symposium, July 1989 (1990) (0)
- Calculus on surfaces (2011) (0)
- Fe b 20 09 Gauge theory in higher dimensions , II (2021) (0)
- New Developments in the Theory of Knots; The Geometry and Physics of Knots; The Geometry of Four‐Manifolds (1992) (0)
- SURVEYS IN DIFFERENTIAL GEOMETRY (Supplement to the Journal of Differential Geometry 1) (1995) (0)
- Maps between Riemann surfaces (2011) (0)
- Gauge theory and tubular ends (2002) (0)
- On some recent developments in Kähler geometry (2013) (0)
- The Uniformisation Theorem (2011) (0)
- Meromorphic functions and the Main Theorem for compact Riemann surfaces (2011) (0)
- Yau and differential geometry (2019) (0)
- Geometry of Low-dimensional Manifolds: SYMPLECTIC GEOMETRY (1991) (0)
- Floer homology groups in Yang–Mills theory: Introduction (2002) (0)
- Divisors, line bundles and Jacobians (2011) (0)
- MOMENT MAPS AND DIFFEOMORPHISMSt (2016) (0)
- Mathematical aspects of gauge theory : lecture notes (2017) (0)
- Geometry of Low-dimensional Manifolds: Acknowledgments (1991) (0)
- Names of Participants (1991) (0)
- Associative submanifolds and gradient cycles (2020) (0)
- IRRATIONALITY AND THE Λ-COBORDISM CONJECTURE (2008) (0)
- Closed 3-forms in five dimensions and embedding problems (2022) (0)
- Floer homology groups in Yang–Mills theory: Further directions (2002) (0)
- Mappings and moduli (2011) (0)
- Floer homology groups in Yang–Mills theory: Basic material (2002) (0)
- Gauge theory on Calabi-Yau manifolds (1997) (0)
- Symplectic manifolds and Jones-Witten theory : proceedings of the Durham symposium, July 1989 (1990) (0)
- The ADHM construction of Yang-Mills instantons (2022) (0)
- Moduli and deformations (2011) (0)
- Gauge Theory and Smooth Structures on 4-Manifolds (2020) (0)
- Book Review: Topology of gauge fields and condensed matter (1995) (0)
- Differential Geometric Methods in Low-dimensional Topology (2008) (0)
- Fredholm topology and enumerative geometry: reflections on some words of Michael Atiyah (2022) (0)
- Reducible connections and cup products (2002) (0)
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Simon Donaldson is affiliated with the following schools:
