Nigel Hitchin
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English mathematician
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Nigel Hitchinmathematics Degrees
Mathematics
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#186
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Algebraic Geometry
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#10
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Differential Geometry
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Measure Theory
#719
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#969
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Mathematics
Why Is Nigel Hitchin Influential?
(Suggest an Edit or Addition)According to Wikipedia, Nigel James Hitchin FRS is a British mathematician working in the fields of differential geometry, gauge theory, algebraic geometry, and mathematical physics. He is a Professor Emeritus of Mathematics at the University of Oxford.
Nigel Hitchin'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
- THE SELF-DUALITY EQUATIONS ON A RIEMANN SURFACE (1987) (1771)
- Self-duality in four-dimensional Riemannian geometry (1978) (1477)
- Generalized Calabi-Yau manifolds (2002) (1350)
- Construction of Instantons (1978) (1325)
- Hyperkähler metrics and supersymmetry (1987) (1152)
- Stable bundles and integrable systems (1987) (923)
- The Geometry and Dynamics of Magnetic Monopoles (1988) (877)
- LIE-GROUPS AND TEICHMULLER SPACE (1992) (457)
- Stable forms and special metrics (2001) (432)
- Lectures on Special Lagrangian Submanifolds (1999) (363)
- Monopoles and geodesics (1982) (344)
- KAHLERIAN TWISTOR SPACES (1981) (329)
- Flat connections and geometric quantization (1990) (318)
- The moduli space of special Lagrangian submanifolds (1997) (293)
- THE GEOMETRY OF THREE-FORMS IN SIX DIMENSIONS (2000) (286)
- Complex manifolds and Einstein’s equations (1982) (244)
- Polygons and gravitons (1979) (239)
- The geometry of three-forms in six and seven dimensions (2000) (235)
- Harmonic maps from a 2-torus to the 3-sphere (1990) (232)
- Compact four-dimensional Einstein manifolds (1974) (226)
- Twistor spaces, Einstein metrics and isomonodromic deformations (1995) (216)
- Low energy scattering of non-Abelian monopoles (1985) (206)
- Linear field equations on self-dual spaces (1980) (175)
- On the construction of monopoles (1983) (172)
- Instantons, Poisson Structures and Generalized Kähler Geometry (2005) (168)
- The moduli space of complex Lagrangian submanifolds (1999) (116)
- Lectures on generalized geometry (2010) (111)
- A panoramic view of riemannian geometry (2006) (100)
- DIFFERENTIAL ANALYSIS ON COMPLEX MANIFOLDS (Graduate Texts in Mathematics, 65) (1981) (97)
- Deformations of instantons. (1977) (85)
- THE GEOMETRY AND DYNAMICS OF MAGNETIC MONOPOLES. M.B. PORTER LECTURES (1988) (82)
- Integrable Systems: Twistors, Loop Groups, and Riemann Surfaces (1999) (81)
- Geometry and physics (1996) (81)
- Poncelet Polygons and the Painleve Equations (2004) (78)
- Monopoles, Minimal Surfaces And Algebraic Curves (1987) (67)
- TWISTOR GEOMETRY AND FIELD THEORY (Cambridge Monographs in Mathematical Physics) (1991) (67)
- L2-Cohomology of Hyperkähler Quotients (1999) (66)
- The Many Facets of Geometry: A Tribute to Nigel Hitchin (2010) (66)
- Gravitational Instantons of Type Dk (2003) (65)
- Bihermitian metrics on Del Pezzo surfaces (2006) (60)
- Symetric Monopoles (1995) (60)
- Low-energy scattering of non-Abelian magnetic monopoles (1985) (60)
- Brackets, forms and invariant functionals (2005) (59)
- Encyclopaedia of Mathematics, Supplement III (2002) (59)
- Langlands duality and G2 spectral curves (2006) (53)
- Curvature and characteristic numbers of hyper-Kähler manifolds (1999) (52)
- On the Hyperkähler/Quaternion Kähler Correspondence (2012) (52)
- Generalized holomorphic bundles and the B-field action (2010) (51)
- Deformations of holomorphic Poisson manifolds (2011) (50)
- Geometrical aspects of Schlesinger's equation (1997) (42)
- Global Riemannian Geometry (1984) (40)
- Einstein metrics and the eta-invariant. (1997) (40)
- Global Differential Geometry (2001) (39)
- A Lecture on the Octahedron (2003) (38)
- Hyperkahler Manifolds (2012) (37)
- The geometry and topology of moduli spaces (1990) (36)
- Higgs Bundles and Characteristic Classes (2013) (36)
- Poisson structures and generalized Kähler geometry (28)
- Integral systems in Riemannian geometry (1998) (27)
- Nonabelianization of Higgs bundles (2013) (24)
- DIFFERENTIAL GEOMETRY: MANIFOLDS, CURVES AND SURFACES (Graduate Texts in Mathematics 115) (1990) (21)
- Higgs bundles and diffeomorphism groups (2015) (20)
- Spectral curves and the ADHM method (1988) (18)
- Critical Loci for Higgs Bundles (2017) (18)
- Quaternionic Kähler Moduli Spaces (2009) (17)
- VECTOR FIELDS ON THE CIRCLE (1991) (17)
- Poisson modules and generalized geometry (2009) (17)
- SYMPLECTIC GEOMETRY (Advanced Studies in Contemporary Mathematics 5) (1991) (16)
- Special metric structures and closed forms (2005) (14)
- Very stable Higgs bundles, equivariant multiplicity and mirror symmetry (2021) (14)
- The Hyperholomorphic Line Bundle (2013) (13)
- Generalized geometry – an introduction (2010) (13)
- Spinors, Lagrangians and rank 2 Higgs bundles (2016) (12)
- A Note on Vanishing Theorems (2014) (11)
- GAUGE THEORY ON RIEMANN SURFACES (1989) (9)
- Vector bundles in algebraic geometry : Durham, 1993 (1995) (9)
- INTEGRABILITY, SELF‐DUALITY, AND TWISTOR THEORY (LMS Monographs (N.S.) 15) (1999) (9)
- The Symplectic Geometry of Moduli Spaces of Connections and Geometric Quantization (1990) (8)
- Monopoles and Geodesies (2004) (6)
- Spherical harmonics and the icosahedron (2007) (6)
- Vector bundles and the icosahedron (2009) (6)
- The Wess-Zumino term for a harmonic map (2000) (5)
- SL(2) over the octonions (2018) (5)
- The Yang-Mills equations and the topology of 4-manifolds (1983) (4)
- Remarks on Nahm’s equations (2017) (4)
- MODULI, DEFORMATIONS AND CLASSIFICATIONS OF COMPACT COMPLEX MANIFOLDS (Research Notes in Mathematics, 45) (1981) (4)
- Stable bundles and polyvector fields (2010) (4)
- Global Geometry and Mathematical Physics (1990) (4)
- CLIFFORD ALGEBRA TO GEOMETRIC CALCULUS A Unified Language for Mathematics and Physics By D. Hestenes and G. Sobczyk: pp. 314. Dfl.150.‐; US$58.00. (D. Reidel Publishing Company, Holland, 1984.) (1985) (4)
- ADVANCES IN MODULI THEORY (Translations of Mathematical Monographs 206). By Y UJI S HIMIZU and K ENJI U ENO : 300 pp., US$49.00, ISBN 0-8218-2156-3 (American Mathematical Society, Providence, RI, 2002) (2003) (4)
- Manifolds with holonomy U∗(2m)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$U^*(2m)$$\end{document} (2014) (4)
- Manifolds with holonomy $$U^*(2m)$$U∗(2m) (2014) (3)
- Interaction between mathematics and physics (2007) (3)
- The Atiyah–Singer Index Theorem (2010) (3)
- Singularities and Computer Algebra (London Mathematical Society Lecture Note Series) (2006) (2)
- Spinors, Twistors and Classical Geometry (2021) (2)
- Multiplicity algebras for rank 2 bundles on curves of small genus (2022) (2)
- Higgs Bundles in the Vector Representation (2009) (1)
- Geometry of Low-dimensional Manifolds: Geometric quantization of spaces of connections (1991) (1)
- Integrable systems and Special Kähler metrics (2019) (1)
- Vector Bundles in Algebraic Geometry: Introduction (1995) (1)
- The moduli space of complex Lagrangian (1999) (1)
- Memories of Sir Michael Atiyah (2019) (1)
- Geometry and Physics: A Personal View (2010) (1)
- The central sphere of an ALE space (2020) (1)
- CHAPTER 14. Particle Scattering (1988) (0)
- A Teichmüller space for negatively curved surfaces (2020) (0)
- CHAPTER 13. Geodesics on M02 (1988) (0)
- Poincaré, Perelman and proof (2007) (0)
- CHAPTER 11. The Metric on M02 (1988) (0)
- CHAPTER 6. Particles and Symmetric Products (1988) (0)
- CONNECTIONS, DEFINITE FORMS, AND FOUR‐MANIFOLDS (Oxford Mathematical Monographs) (1993) (0)
- Sir Michael Atiyah - Bibliography from SIR MICHAEL ATIYAH OM. 22 April 1929 – 11 January 2019 (2020) (0)
- THE CHERN SYMPOSIUM 1979 Proceedings of the International Symposium on Differential Geometry in honour of S.‐S. Chern, held in Berkeley, California, June 1979 (1982) (0)
- Review: B. Booss and D. D. Bleecker, Topology and analysis, the Atiyah-Singer index formula and gauge-theoretic physics (1986) (0)
- CHAPTER 5. The Twistor Description (1988) (0)
- Remembering M. S. Narasimhan (1932–2021) (2022) (0)
- CHAPTER 8. Spectral Radii and the Conformal Structure (1988) (0)
- Critical Loci for Higgs Bundles (2019) (0)
- Supplementary material from "SIR MICHAEL ATIYAH OM. 22 April 1929 – 11 January 2019" (2020) (0)
- Book review. The Shape of Inner Space (2011) (0)
- A remark on calibrations and Lie groups (2022) (0)
- Shiing-Shen Chern 1911–2004 (2006) (0)
- CHAPTER 12. Detailed Properties of the Metric (1988) (0)
- Arthur Geoffrey Walker. 17 July 1909 — 31 March 2001 (2006) (0)
- CHAPTER 2. Geometry of the Monopole Spaces (1988) (0)
- CHAPTER 9. The Anti-self-dual Einstein Equations (1988) (0)
- CHAPTER 3. Metric of Monopole Spaces (1988) (0)
- A Note on Coupled Dirac Operators (2022) (0)
- -cohomology of Hyperkähler Quotients (0)
- O ct 2 00 3 Gravitational Instantons of Type (2004) (0)
- Isadore M. Singer (1924–2021) In Memoriam Part 1: Scientific Works (2022) (0)
- Lessons from a Prussian past (1993) (0)
- CHAPTER 15. Comparisons with KdV Solitons (1988) (0)
- Sir Michael Atiyah OM. 22 April 1929–11 January 2019 (2020) (0)
- Remembering M. S. Narasimhan (1932–2021) Arnaud Garc´ıa-Prada, (2022) (0)
- CHAPTER 7. The 2-monopole Space (1988) (0)
- On the Hyperkähler/Quaternion Kähler Correspondence (2013) (0)
- CHAPTER 1. The Monopole Equations (1988) (0)
- Poncelet Polygons and the Painlevé Equations N (2004) (0)
- Low-dimensional geometry—A variational approach (2006) (0)
- CHAPTER 4. Hyperkahler Property of the Metric (1988) (0)
- Michael Atiyah: Geometry and Physics (2020) (0)
- Monopole and vortex scattering (1987) (0)
- CHAPTER 10. Some Inequalities (1988) (0)
- Einstein metrics and magnetic monopoles (2019) (0)
- Shiing-Shen Chern. 26 October 1911 — 3 December 2004 (2014) (0)
- Book Review: The geometry of four-manifolds (1993) (0)
- HAMILTONIAN ACTIONS IN GENERALIZED COMPLEX GEOMETRY (2009) (0)
- CHAPTER 16. Background Material (1988) (0)
- G2 geometry and integrable systems (2009) (0)
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