According to Wikipedia, Sir Michael Francis Atiyah was a British-Lebanese mathematician specialising in geometry.Atiyah grew up in Sudan and Egypt but spent most of his academic life in the United Kingdom at the University of Oxford and the University of Cambridge and in the United States at the Institute for Advanced Study. He was the President of the Royal Society , founding director of the Isaac Newton Institute , master of Trinity College, Cambridge , chancellor of the University of Leicester , and the President of the Royal Society of Edinburgh . From 1997 until his death, he was an honorary professor in the University of Edinburgh.

- Introduction to commutative algebra
- The Yang-Mills equations over Riemann surfaces
- Self-duality in four-dimensional Riemannian geometry
- Construction of Instantons
- Spectral Asymmetry and Riemannian Geometry
- The moment map and equivariant cohomology
- The Index of elliptic operators. 1
- The Index of elliptic operators. 3.
- Convexity and Commuting Hamiltonians
- Spectral asymmetry and Riemannian geometry I
- Vector Bundles Over an Elliptic Curve
- The Geometry and Dynamics of Magnetic Monopoles
- The Index of Elliptic Operators: IV
- Complex analytic connections in fibre bundles
- Spectral asymmetry and Riemannian geometry. II
- THE INDEX OF ELLIPTIC OPERATORS
- Topological quantum field theories
- A Lefschetz Fixed Point Formula for Elliptic Complexes: I
- Vector bundles and homogeneous spaces
- The index of elliptic operators on compact manifolds
- On the heat equation and the index theorem
- Seminar on the Atiyah-Singer Index Theorem.
- The Index of elliptic operators. 5.
- The Index of Elliptic Operators: II
- Elliptic operators, discrete groups and von Neumann algebras
- A Lefschetz Fixed Point Formula for Elliptic Complexes: II. Applications
- Instantons and algebraic geometry
- Equivariant $K$-theory and completion
- M-Theory Dynamics On A Manifold Of G_2 Holonomy
- Characters and cohomology of finite groups
- K -THEORY AND REALITY
- Dirac operators coupled to vector potentials.
- Resolution of Singularities and Division of Distributions
- Riemann surfaces and spin structures
- Index theory for skew-adjoint fredholm operators
- Elliptic operators and compact groups
- The geometry and physics of knots: Frontmatter
- Twisted K-theory
- Lacunas for hyperbolic differential operators with constant coefficients I
- An M theory flop as a large N duality
- Spin-manifolds and group actions
- BOTT PERIODICITY AND THE INDEX OF ELLIPTIC OPERATORS
- On the Krull-Schmidt theorem with application to sheaves
- Low energy scattering of non-Abelian monopoles
- Group representations, λ-rings and the J-homomorphism
- Topological aspects of Yang-Mills theory
- Analytic cycles on complex manifolds
- The Geometry and Physics of Knots
- Skyrmions from instantons
- Mathematics: Frontiers and Perspectives
- On the heat equation and the index theorem
- Riemann-Roch theorems for differentiable manifolds
- On framings of 3-manifolds
- The experience of mathematical beauty and its neural correlates
- POWER OPERATIONS IN K -THEORY
- Instantons in two and four dimensions
- Topological Lagrangians and cohomology
- On equivariant Euler characteristics
- The logarithm of the dedekind η-function
- On analytic surfaces with double points
- Twisted K-theory and cohomology
- The Index Problem for Manifolds with Boundary
- Bordism and Cobordism
- Lie theory and geometry : in honor of Bertram Kostant
- A Geometric Construction of the Discrete Series for Semisimple Lie Groups
- SYMMETRIES OF ISLAMIC GEOMETRICAL PATTERNS
- A geometric construction of the discrete series for semisimple Lie groups
- Circular symmetry and stationary phase approximation
- Vector bundles and the Künneth formula
- On the periodicity theorem for complex vector bundles
- K -THEORY AND THE HOPF INVARIANT
- THE GEOMETRY AND DYNAMICS OF MAGNETIC MONOPOLES. M.B. PORTER LECTURES
- Deformations of instantons.
- Sir Michael Atiyah : a great mathematician of the twentieth century
- New invariants of 3 and 4 dimensional manifolds
- Low-energy scattering of non-Abelian magnetic monopoles
- Geometry and kinematics of two Skyrmions
- Eta invariants, signature defects of cusps, and values of L-functions
- A Lefschetz fixed point formula for elliptic differential operators
- Notes on the Lefschetz fixed point theorem for elliptic complexes
- Responses to `Theoretical mathematics: toward a cultural synthesis of mathematics and theoretical physics', by A. Jaffe and F. Quinn
- Polyhedra in Physics, Chemistry and Geometry
- Introduction to the Problem of Minimal Models in the Theory of Algebraic Surfaces
- Complex Fibre Bundles and Ruled Surfaces
- Integrals of the Second Kind on an Algebraic Variety
- The geometry of point particles
- The Riemann–Roch theorem for analytic embeddings
- Vector fields with finite singularities
- Topological quantum field theory
- Topological quantum field theory
- The Nature of Mathematical Proof
- Angular momentum, convex Polyhedra and Algebraic Geometry
- Vector bundles on projective 3-space
- Immersions and embeddings of manifolds
- The Unity of Mathematics
- Representation Theory of Lie Groups
- Vector Fields on Manifolds
- On complex Stiefel manifolds
- Geometry and physics
- What is supersymmetry?
- Mathematics in the 20th Century
- Eigenvalues of the dirac operator
- Curvature, cones and characteristic numbers
- On the K-theory of compact lie groups
- Compact lie groups and the stable homotopy of spheres
- Responses to: A. Jaffe and F. Quinn, “Theoretical mathematics: toward a cultural synthesis of mathematics and theoretical physics” [Bull. Amer. Math. Soc. (N.S.) 29 (1993), no. 1, 1–13; MR1202292 (94h:00007)]
- Twistor theory at fifty: from contour integrals to twistor strings
- The signature of fibre-bundles
- Algebraic topology and operators in Hilbert space
- Convexity and Loop Groups
- Geometric models of matter
- Projective planes, Severi varieties and spheres
- Quantum theory and geometry
- Configurations of points
- Nahm’s equations, configuration spaces and flag manifolds
- K-Theory Past and Present
- The geometry of classical particles
- Bott Periodicity and the Parallelizability of the spheres
- Mathematics for physics
- The Art of Mathematics
- Idempotency: List of Participants
- X-THEORY AND REALITY
- Bakerian Lecture, 1975: Global geometry
- Skyrmions, instantons, mass and curvature
- NEW INVARIANTS OF THREE-DIMENSIONAL AND FOUR-DIMENSIONAL MANIFOLDS
- Mathematics in the 20th century
- Lecture 1: Transversally elliptic operators
- A Variant of K-theory: K_{+-}
- Lacunas for hyperbolic differential operators with constant coefficients. II
- EXPONENTIAL ISOMORPHISMS FOR λ-RINGS
- Fields Medallists' Lectures
- MAGNETIC MONOPOLES AND THE YANG-BAXTER EQUATIONS
- Pulling the strings
- The Jones-Witten invariants of knots
- Paul Dirac: The Dirac equation and geometry
- Green's functions for selfdual four manifolds
- Errata to the Paper: On the Heat Equation and the Index Theorem.
- How research is carried out
- Paul Dirac: The Man and his Work
- Yang-Mills and bundles over algebraic curves
- DUALITY IN MATHEMATICS AND PHYSICS
- Anomalies and index theory
- Algebraic topology and elliptic operators
- A Shifted View of Fundamental Physics
- Complex Geometry of Nuclei and Atoms
- Time evolution in a geometric model of a particle
- Vector fields on manifolds.
- Maslov optimization theory: topological aspect
- Quantum physics and the topology of knots
- An interview with Michael Atiyah
- The Encoding of Temporally Irregular and Regular Visual Patterns in the Human Brain
- A survey of K-theory
- Geometric Models of Helium
- Invariant differential operators and eigenspace representations
- Signature defects of cusps and values of L-functions
- Quantum field theory and low dimensional geometry
- Surveys in Differential Geometry VIII, Papers in Honor of Calabi, Lawson, Siu and Uhlenbeck
- The Non-Existent Complex 6-Sphere
- THE WORK OF SIMON DONALDSON
- The impact of Thom’s cobordism theory
- On the Work of Edward Witten
- The Harish-Chandra character
- The Role of Algebraic Topology in Mathematics
- Mathematics in the twentieth century
- THE FINE STRUCTURE CONSTANT
- Monopoles and Yang-Baxter equations
- John Arthur Todd
- Abstracts of additional presentations made at the Royal Society Discussion Meeting ‘The nature of mathematical proof’
- Equivariant Cohomology and Representations of the Symmetric Group
- Anyons in geometric models of matter
- A geometric construction of the discrete series for semisimple Lie groups
- Geometry and Physics
- The Influence of Computers and Informatics on Mathematics and its Teaching: Mathematics and the Computer Revolution
- Differential analysis : papers presented at the Bombay Colloquium, 1964
- Einstein and Geometry
- Commentary on the article of manin
- The geometry and physics of knots: History and background
- The Social Responsibility of Scientists
- Reflections on geometry and physics
- Classical Groups and Classical Differential Operators on Manifolds
- William Vallance Douglas Hodge
- Michael Atiyah collected works
- Mathematics: Art and science
- Edinburgh Lectures on Geometry, Analysis and Physics
- A Nuclear-Weapon-Free World: Steps Along the Way
- What Is Geometry? The 1982 Presidential Address
- Science for evil: the scientist's dilemma
- The Interaction between Geometry and Physics
- Paul Dirac: Paul Dirac: aspects of his life and work
- Bakerian Lecture, 1975: Global Geometry
- Benjamin Franklin and the Edinburgh Enlightenment1
- Hyperbolic differential equations and algebraic geometry
- THE GROTHENDIECK RING IN GEOMETRY AND TOPOLOGY
- The Relativistic Geometry and Dynamics of Electrons
- A Community of Scholars: Impressions of the Institute for Advanced Study
- The millennium prize promblems : Clay Mathematics Institute Millennium Meeting, Collège de France, Paris, May 24-25, 2000
- COMPLEX ANALYTIC CONNECTIONS IN FIBRE
- APPENDIX I. THE INDEX THEOREM FOR MANIFOLDS WITH BOUNDARY
- Representation theory of Lie groups : proceedings of the SRC/LMS Research Symposium on Representations of Lie Groups, Oxford, 28 June-15 July 1977
- Understanding the 6-Dimensional Sphere
- Scalar curvature, flat Borromean rings, and the 3-body problem
- William Vallance Douglas Hodge, 17 June 1903 - 7 July 1975
- Remarks on Morse Theory
- Congurations of points
- The European Mathematical Society
- The challenge of computer mathematics. Discussion
- Computing and the cultures of proving. Dicussion
- THE WORK OF SERGE NOVIKOV
- Raoul Harry Bott. 24 September 1923 — 20 December 2005
- Anniversary Address by the President of the Royal Society: Sir Michael Atiyah
- М. Вернь Formal equivariant Â class, splines and multiplicities of the index of transversally elliptic operators
- Introduction To Commutative Algebra, Student Economy Edition
- 100 Years of Mathematics.
- Erratum to the Paper: A Geometric Construction of the Discrete Series for Semisimple Lie Groups
- Integral geometry and representation theory
- A note on the tangents of a twisted cubic
- Real and Complex Geometry in Four Dimensions
- Address of the President, Sir Michael Atiyah, given at the Anniversary meeting on 29 November 1991
- Geometry of Low-dimensional Manifolds: Representations of braid groups
- Geometry and Physics: Where Are We Going?
- The geometry and physics of knots: The infinite-dimensional case
- Raoul Harry Bott, FRS, 1923–2005
- Mathematics and the computer revolution
- ISLAMIC PATTERNS AND THEIR SYMMETRIES
- GEOMETRY AND ANALYSIS Papers dedicated to the memory of V. K. Patodi
- Eighty Years On
- The Israeli-Palestinian Science Organization
- K-theory : lectures by M. F. Atiyah; Notes by D. W. Anderson
- Vector Bundles on Algebraic Varieties: Papers presented at the Bombay Colloquium 1984
- CHAPTER 16. Background Material
- Algebraic Topology – A Student's Guide: Characters and cohomology of finite groups
- Thoughts of a Mathematician
- CHAPTER 7. The 2-monopole Space
- Lecture 7: Toral actions with finite isotropy groups
- CHAPTER 14. Particle Scattering
- LECTURES ON DIFFERENTIAL GEOMETRY
- CHAPTER 10. Some Inequalities
- The Royal Society of Edinburgh Two-day Conference organised
- Jo Rotblat: Man With a Cause
- if-THEORY AND THE HOPF INVARIANT
- K-Theory and the Jones Polynomial
- Some applications of topological methods in algebraic geometry
- Lecture 10: Applications
- William Leonard Edge
- Lacunas of hyperbolic differential equationes(講演記録)
- Lecture 5: The index homomorphism for G = S1
- Lecture 9: The cohomology formula
- Address of the President, Sir Michael Atiyah, O. M., given at the Anniversary Meeting on 30 November 1994
- Rings and Modules of Fraction
- The Hirzebruch Signature Theorem for Conical Metrics
- 3 1 O ct 2 00 5 Twisted K-theory and cohomology
- Woods Hole (Commentary on [124])
- Anyon Networks from Geometric Models of Matter
- A UK Academy of Medicine?
- The Heidelberg Laureate Forum on the moving frontier between mathematics and computer science
- Quantum Field Theory and Low-Dimensional Geometry (Common Trends in Mathematics and Quantum Field Theories)
- Early papers : general papers
- Lessons from the Scottish Enlightenment
- MILLENNIUM LECTURE - CAIRO, 15 JANUARY 2000
- TWISTED K-THEORY OLD AND NEW 3 General plan of the paper
- Paul Dirac: The monopole
- Biodiversity A Joint Statement
- CLASSIFICATION,IDENTIFICATION AND CONSTRUCTION OF THE SEVENTEEN TYPES OF TWO-DIMENSIONAL PERIODIC PATTERNS
- Physics and mathematics of strings: Proceedings of a Royal Society Discussion Meeting, held on 8 and 9 December 1988
- Józef Rotblat: My Friend
- The geometry and physics of knots: Final comments
- A Community of Scholars
- CHAPTER 12. Detailed Properties of the Metric
- The Feynman integral formulation
- VI.90 William Vallance Douglas Hodge
- msp MATHEMATICS AND CULTURE : GEOMETRY IN OXFORD 1960 – 1990
- John Arthur Todd, 23 August 1908 - 22 December 1994
- CHAPTER 5. The Twistor Description
- Book Review: Lectures on mechanics
- CHAPTER 2. Geometry of the Monopole Spaces
- Lecture 6: The operators \bar \partial ^ \pm for G = S1
- New developments in the theory and application of solitons : proceedings of a Royal Society Discussion Meeting held on 1 and 2 November, 1984
- Rings and Ideals
- Surveys in Differential Geometry XV A Shifted View of Fundamental Physics
- CHAPTER 15. Comparisons with KdV Solitons
- CHAPTER 8. Spectral Radii and the Conformal Structure
- What is a proof? Discussion
- MANIFOLDS OF PIECEWISE LINEAR MAPS AND A RELATED NORMED LINEAR SPACE
- CHAPTER 13. Geodesics on M02
- The geometry and physics of knots , by Michael Atiyah. Pp 78. £6·95 (paperback), £20 (hardback). 1990. ISBN 0-521-39554-2, -39521-6 (Cambridge University Press)
- POWER OPERATIONS IN Z-THEORY
- Collected papers of V. K. Patodi
- J ul 2 00 4 Twisted K-theory
- Mathematics and the real world
- The Logarithm of the Dedekind q-Function
- THE MATHEMATICAL HERITAGE OF HENRI POINCARÉ (Proceedings of Symposia in Pure Mathematics, 39)
- Lecture 3: The excision and multiplicative properties
- New Developments in the Theory of Knots; The Geometry and Physics of Knots; The Geometry of Four‐Manifolds
- Invitation to Physicists
- ISLAMIC PATTERNSAND THEIR GEOMETRICAL STRUCTURES
- A problem in Euclidean Geometry
- 2006 Fields Medals Awarded, Volume 53, Number 9
- O ct 2 00 2 Lagrangian surfaces with circular ellipse of curvature in complex space forms
- ARITHMETIC PHYSICS – ABEL LECTURE
- Viii. Final Perspectives Viii.6 Advice to a Young Mathematician
- Discrete Valuation Rings and Dedekind Domains
- The Riemann Hypothesis
- Paul Dirac: Antimatter
- Todd function as weak analytic function
- SCIENCE AND THE MILITARY : Warfare
- Geometry and analysis of Shimizu L-functions.
- CHAPTER 3. Metric of Monopole Spaces
- CONFORMAL COMPACTIFICATIONS AND THEIR TOPOLOGY Objekttyp
- The Impact of Physics on Geometry
- Note on Involutions
- Construction of Instantons
- CHAPTER 6. Particles and Symmetric Products
- CHAPTER 11. The Metric on M02
- Professor S.-T. Yau at 70
- Dirac operators coupled to vector potentials: (elliptic operators/index theory/characteristic classes/anomalies/gauge fields)
- Математика и компьютерная революция@@@Mathematics and the computer revolution
- Address of the President, Sir Michael Atiyah, O. M., given at the Anniversary Meeting on 30 November 1992
- CHAPTER 9. The Anti-self-dual Einstein Equations
- Address of the President, Sir Michael Atiyah, O. M., given at the Anniversary Meeting on 30 November 1993
- Lecture 2: The index of transversally elliptic operators
- The mysteries of space
- CHAPTER 4. Hyperkahler Property of the Metric
- Working with Raoul Bott: From geometry to physics
- Geometry Topology and Physics
- Lecture 4: The naturality of the index and the localization theorem
- Non-abelian moduli spaces
- M. Hervé, Several Complex Variables: Local Theory (Oxford University Press, 1963), 26s. 6d.
- CHAPTER 1. The Monopole Equations
- IN PRAISE OF PATTERN, SYMMETRY, UNITY & ISLAMIC ART
- A Geometer Explores the Universe
- THE GATEWAY FROM ISLAMIC PATTERNS TO INVARIANCE AND GROUPS
- Riemann's Influence in Geometry, Analysis and Number Theory

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