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- Simon Donaldson

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
47
Citations
17,870
100
World Ranking
908
National Ranking
66

2020 - Wolf Prize in Mathematics for their contributions to differential geometry and topology.

2013 - Fellow of the American Mathematical Society

2000 - Member of the National Academy of Sciences

1993 - Member of Academia Europaea

1986 - Fellow of the Royal Society, United Kingdom

1986 - Fields Medal of International Mathematical Union (IMU) Received medal primarily for his work on topology of four-manifolds, especially for showing that there is a differential structure on euclidian four-space which is different from the usual structure.

- Mathematical analysis
- Pure mathematics
- Geometry

His primary scientific interests are in Pure mathematics, Moduli space, Higgs bundle, Fano plane and Einstein. His study looks at the intersection of Moduli space and topics like Topology with Intersection form. His Higgs bundle study contributes to a more complete understanding of Geometry.

Simon Donaldson combines subjects such as Algebraic surface, Holomorphic function and Yang–Mills existence and mass gap with his study of Geometry. He has included themes like Donaldson theory, Vector bundle, Fourier transform and ADHM construction in his Algebraic surface study. His study on Fano plane also encompasses disciplines like

- Theoretical physics which intersects with area such as Mathematical analysis,
- Cone and related Mathematical physics.

- The Geometry of Four-Manifolds (1312 citations)
- Anti Self‐Dual Yang‐Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles (1049 citations)
- Scalar Curvature and Stability of Toric Varieties (738 citations)

Simon Donaldson mainly focuses on Pure mathematics, Mathematical analysis, Scalar curvature, Einstein and Differential geometry. Simon Donaldson combines Pure mathematics and Stability in his studies. His work on Holonomy and Manifold is typically connected to Separable partial differential equation and Geometric invariant theory as part of general Mathematical analysis study, connecting several disciplines of science.

Simon Donaldson has researched Scalar curvature in several fields, including Kähler manifold, Toric variety and Constant. In Holomorphic function, Simon Donaldson works on issues like Moduli space, which are connected to Gauge theory, Differential topology and Topology. His research in Algebraic variety intersects with topics in Geometry and Invariant.

- Pure mathematics (51.59%)
- Mathematical analysis (28.57%)
- Scalar curvature (12.70%)

- Pure mathematics (51.59%)
- Holonomy (8.73%)
- Boundary (3.97%)

His main research concerns Pure mathematics, Holonomy, Boundary, Algebraic geometry and Submanifold. His studies link Associative property with Pure mathematics. Holonomy is the subject of his research, which falls under Mathematical analysis.

His Mathematical analysis research is multidisciplinary, incorporating perspectives in Point and Deformation theory. His study looks at the relationship between Algebraic geometry and topics such as Algebraic variety, which overlap with Geometry. His study explores the link between Submanifold and topics such as Signature that cross with problems in Differential geometry, Riemannian geometry, Regular polygon and Connection.

- Gromov–Hausdorff limits of Kähler manifolds and algebraic geometry, II (44 citations)
- Adiabatic Limits of Co-associative Kovalev–Lefschetz Fibrations (21 citations)
- The Ding Functional, Berndtsson Convexity and Moment Maps (15 citations)

- Mathematical analysis
- Topology
- Geometry

Simon Donaldson mainly investigates Pure mathematics, Holonomy, Theoretical physics, Ricci flow and Interpretation. His Pure mathematics research incorporates themes from Space and Signature. The study incorporates disciplines such as Moment map, Fano plane and Metric in addition to Ricci flow.

His Flow research extends to Interpretation, which is thematically connected.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

The Geometry of Four-Manifolds

Simon K. Donaldson;P. B. Kronheimer.

**(1990)**

2288 Citations

Anti Self‐Dual Yang‐Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles

S. K. Donaldson.

Proceedings of The London Mathematical Society **(1985)**

1218 Citations

An application of gauge theory to four-dimensional topology

Simon K. Donaldson.

Journal of Differential Geometry **(1983)**

1028 Citations

Scalar Curvature and Projective Embeddings, I

S.K. Donaldson.

Journal of Differential Geometry **(2001)**

979 Citations

Scalar Curvature and Stability of Toric Varieties

S. K. Donaldson.

Journal of Differential Geometry **(2002)**

799 Citations

Polynomial invariants for smooth four-manifolds

S.K. Donaldson.

Topology **(1990)**

753 Citations

A new proof of a theorem of Narasimhan and Seshadri

S. K. Donaldson.

Journal of Differential Geometry **(1983)**

578 Citations

The orientation of Yang-Mills moduli spaces and 4-manifold topology

S. K. Donaldson.

Journal of Differential Geometry **(1987)**

566 Citations

Symplectic submanifolds and almost-complex geometry

S. K. Donaldson.

Journal of Differential Geometry **(1996)**

548 Citations

Twisted harmonic maps and the self-duality equations

S. K. Donaldson.

Proceedings of The London Mathematical Society **(1987)**

548 Citations

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