2023 - Research.com Mathematics in United Kingdom Leader Award
2022 - Research.com Mathematics in United Kingdom Leader Award
2008 - President's Medal of the IOP, Institute of Physics
2004 - Abel Prize For their discovery and proof of the index theorem, bringing together topology, geometry and analysis, and their outstanding role in building new bridges between mathematics and theoretical physics.
1978 - Member of the National Academy of Sciences
1966 - Fields Medal of International Mathematical Union (IMU) Did joint work with Hirzebruch in K-theory; proved jointly with Singer the index theorem of elliptic operators on complex manifolds; worked in collaboration with Bott to prove a fixed point theorem related to the 'Lefschetz formula'.
The scientist’s investigation covers issues in Pure mathematics, Mathematical analysis, Elliptic operator, Discrete mathematics and Index. His Pure mathematics study incorporates themes from Fundamental theorem of Riemannian geometry and Euclidean geometry. He interconnects Quantum electrodynamics, Instanton, Gauge group and Twistor theory in the investigation of issues within Euclidean geometry.
The study incorporates disciplines such as Equivariant map, Quantum cohomology and Cartan model in addition to Mathematical analysis. His work focuses on many connections between Elliptic operator and other disciplines, such as Semi-elliptic operator, that overlap with his field of interest in Operator theory. While the research belongs to areas of Discrete mathematics, Michael Atiyah spends his time largely on the problem of Fixed point, intersecting his research to questions surrounding Schauder fixed point theorem.
His primary scientific interests are in Pure mathematics, Algebra, Theoretical physics, Mathematical physics and Mathematical analysis. His study brings together the fields of Discrete mathematics and Pure mathematics. Much of his study explores Theoretical physics relationship to Magnetic monopole.
His Mathematical physics research focuses on Instanton in particular. Michael Atiyah frequently studies issues relating to Equivariant cohomology and Equivariant map. Michael Atiyah merges Elliptic operator with Index in his study.
His scientific interests lie mostly in Theoretical physics, Mathematical physics, Instanton, Dirac equation and Pure mathematics. His Theoretical physics research integrates issues from Electric charge, Quantum mechanics and Surface. The concepts of his Instanton study are interwoven with issues in Twistor space, Twistor theory, Cohomology, Holomorphic function and Space.
His Dirac equation study also includes
The scientist’s investigation covers issues in Mathematical physics, Neuroscience, Functional magnetic resonance imaging, Pure mathematics and Instanton. His work carried out in the field of Mathematical physics brings together such families of science as Fiber bundle, Singularity, Curvature, Signature and Gravitation. In general Neuroscience study, his work on Sensory system often relates to the realm of Neural correlates of consciousness, thereby connecting several areas of interest.
His Functional magnetic resonance imaging study combines topics in areas such as Frontal lobe, Neuroesthetics, Cortex and Human brain. His Pure mathematics study frequently draws connections to other fields, such as String. His biological study spans a wide range of topics, including Space, Einstein, Gravitational singularity and Twistor theory.
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.
Introduction to Commutative Algebra
Spectral asymmetry and Riemannian geometry. III
M. F. Atiyah;V. K. Patodi;I. M. Singer.
Mathematical Proceedings of the Cambridge Philosophical Society (1975)
The Yang-Mills equations over Riemann surfaces
Michael Francis Atiyah;Raoul Bott.
Philosophical Transactions of the Royal Society A (1982)
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)
Construction of Instantons
M.F. Atiyah;Nigel J. Hitchin;V.G. Drinfeld;Yu.I. Manin.
Physics Letters A (1978)
THE INDEX OF ELLIPTIC OPERATORS
Michael F. Atiyah.
The moment map and equivariant cohomology
M.F. Atiyah;M.F. Atiyah;R. Bott;R. Bott.
Vector Bundles Over an Elliptic Curve
M. F. Atiyah.
Proceedings of The London Mathematical Society (1957)
Convexity and Commuting Hamiltonians
M. F. Atiyah.
Bulletin of The London Mathematical Society (1982)
The Index of elliptic operators. 1
M.F. Atiyah;I.M. Singer.
Annals of Mathematics (1968)
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