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- Nigel Hitchin

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
49
Citations
21,808
106
World Ranking
821
National Ranking
59

2013 - Fellow of the American Mathematical Society

1993 - Member of Academia Europaea

1991 - Fellow of the Royal Society, United Kingdom

- Pure mathematics
- Geometry
- Algebra

Nigel Hitchin mainly investigates Pure mathematics, Mathematical analysis, Geometry, Nahm equations and Euclidean geometry. His Pure mathematics study frequently draws connections to adjacent fields such as Independent equation. His studies examine the connections between Mathematical analysis and genetics, as well as such issues in Twistor theory, with regards to Fundamental theorem of Riemannian geometry, Gauge group and Information geometry.

Nigel Hitchin has researched Geometry in several fields, including Chern–Weil homomorphism, Equivariant cohomology and Integrable system. In Nahm equations, he works on issues like ADHM construction, which are connected to Quantum electrodynamics, Linear algebra, Filtered algebra and Gravitational instanton. His Euclidean geometry research incorporates themes from Infinity, Instanton, Mathematical physics and Classical mechanics.

- THE SELF-DUALITY EQUATIONS ON A RIEMANN SURFACE (1683 citations)
- Selfduality in Four-Dimensional Riemannian Geometry (1312 citations)
- Construction of Instantons (1257 citations)

His main research concerns Pure mathematics, Mathematical analysis, Moduli space, Mathematical physics and Magnetic monopole. His Symplectic geometry, Higgs bundle, Twistor theory, Cohomology and Holomorphic function investigations are all subjects of Pure mathematics research. His Mathematical analysis research includes elements of Invariant and Twistor space.

His work deals with themes such as Mirror symmetry, Symplectic manifold, Submanifold, Higgs field and Differential geometry, which intersect with Moduli space. As part of one scientific family, he deals mainly with the area of Magnetic monopole, narrowing it down to issues related to the Geometry, and often Nonlinear system. His study in Nahm equations is interdisciplinary in nature, drawing from both ADHM construction and Euclidean geometry.

- Pure mathematics (54.55%)
- Mathematical analysis (27.27%)
- Moduli space (23.97%)

- Pure mathematics (54.55%)
- Moduli space (23.97%)
- Mathematical analysis (27.27%)

His scientific interests lie mostly in Pure mathematics, Moduli space, Mathematical analysis, Holomorphic function and Higgs bundle. His primary area of study in Pure mathematics is in the field of Symplectic geometry. His research investigates the connection between Moduli space and topics such as Higgs field that intersect with problems in Integrable system and Mathematical physics.

In general Mathematical analysis study, his work on Frame bundle and Line bundle often relates to the realm of Poisson algebra, thereby connecting several areas of interest. His Line bundle study combines topics in areas such as Cotangent bundle, Kähler manifold, Twistor theory and Hyperkähler manifold. Nigel Hitchin combines subjects such as Geometry, Elliptic curve and Hilbert scheme with his study of Holomorphic function.

- Lectures on generalized geometry (89 citations)
- On the Hyperkähler/Quaternion Kähler Correspondence (43 citations)
- Generalized holomorphic bundles and the B-field action (41 citations)

- Geometry
- Pure mathematics
- Algebra

Nigel Hitchin mostly deals with Pure mathematics, Holomorphic function, Mathematical analysis, Higgs bundle and Line bundle. Nigel Hitchin interconnects Group and Higgs boson in the investigation of issues within Pure mathematics. In his study, Mathematics education is inextricably linked to Geometry, which falls within the broad field of Holomorphic function.

Frame bundle is the focus of his Mathematical analysis research. His Higgs bundle research is multidisciplinary, relying on both Symplectic geometry, Kähler manifold and Twistor theory, Twistor space. His research integrates issues of Algebraic geometry, Characteristic class and Section in his study of Moduli space.

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 SELF-DUALITY EQUATIONS ON A RIEMANN SURFACE

Nigel J. Hitchin.

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

2843 Citations

THE SELF-DUALITY EQUATIONS ON A RIEMANN SURFACE

Nigel J. Hitchin.

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

2843 Citations

Self-duality in four-dimensional Riemannian geometry

Michael Francis Atiyah;Nigel James Hitchin;I. M. Singer.

Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences **(1978)**

2178 Citations

Self-duality in four-dimensional Riemannian geometry

Michael Francis Atiyah;Nigel James Hitchin;I. M. Singer.

Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences **(1978)**

2178 Citations

Construction of Instantons

M.F. Atiyah;Nigel J. Hitchin;V.G. Drinfeld;Yu.I. Manin.

Physics Letters A **(1978)**

2077 Citations

Construction of Instantons

M.F. Atiyah;Nigel J. Hitchin;V.G. Drinfeld;Yu.I. Manin.

Physics Letters A **(1978)**

2077 Citations

Generalized Calabi-Yau manifolds

Nigel Hitchin.

Quarterly Journal of Mathematics **(2003)**

1942 Citations

Generalized Calabi-Yau manifolds

Nigel Hitchin.

Quarterly Journal of Mathematics **(2003)**

1942 Citations

The Geometry and Dynamics of Magnetic Monopoles

Michael Francis Atiyah;Nigel J Hitchin.

**(1988)**

1418 Citations

The Geometry and Dynamics of Magnetic Monopoles

Michael Francis Atiyah;Nigel J Hitchin.

**(1988)**

1418 Citations

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