Michael Atiyah

Q: What Schools Are Affiliated With Michael Atiyah

Michael Atiyah is affiliated with the following schools: University of Oxford, University of Edinburgh, University of Cambridge

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Michael Atiyah

Mathematics

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#53

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Algebraic Geometry

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Topology

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#10

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Measure Theory

#63

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#105

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Why Is Michael Atiyah Influential?

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According to Wikipedia, Sir Michael Francis Atiyah was a British-Lebanese mathematician specialising in geometry. His contributions include the Atiyah–Singer index theorem and co-founding topological K-theory. He was awarded the Fields Medal in 1966 and the Abel Prize in 2004.

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Michael Atiyah's Published Works

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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

Introduction to commutative algebra (1969) (4267)
The Yang-Mills equations over Riemann surfaces (1983) (2150)
Spectral asymmetry and Riemannian Geometry. I (1973) (1897)
Self-duality in four-dimensional Riemannian geometry (1978) (1477)
Construction of Instantons (1978) (1325)
The moment map and equivariant cohomology (1984) (1191)
Vector Bundles Over an Elliptic Curve (1957) (951)
Convexity and Commuting Hamiltonians (1982) (945)
The Index of elliptic operators. 3. (1968) (937)
The Index of Elliptic Operators: IV (1971) (907)
The Index of elliptic operators. 1 (1968) (898)
Complex analytic connections in fibre bundles (1957) (897)
The Geometry and Dynamics of Magnetic Monopoles (1988) (877)
A Lefschetz Fixed Point Formula for Elliptic Complexes: I (1967) (643)
On the heat equation and the index theorem (1973) (634)
Vector bundles and homogeneous spaces (1961) (589)
Elliptic operators, discrete groups and von Neumann algebras (1976) (574)
The index of elliptic operators on compact manifolds (1963) (573)
THE INDEX OF ELLIPTIC OPERATORS (1997) (573)
Seminar on the Atiyah-Singer Index Theorem. (1968) (541)
The Index of Elliptic Operators: II (1968) (492)
Spectral asymmetry and Riemannian geometry. II (1975) (476)
A Lefschetz Fixed Point Formula for Elliptic Complexes: II. Applications (1968) (444)
Topological quantum field theories (1988) (424)
Instantons and algebraic geometry (1977) (422)
Equivariant $K$-theory and completion (1969) (416)
M-Theory Dynamics On A Manifold Of G_2 Holonomy (2001) (395)
K -THEORY AND REALITY (1966) (381)
Characters and cohomology of finite groups (1961) (379)
Dirac operators coupled to vector potentials. (1984) (353)
Riemann surfaces and spin structures (1971) (352)
Resolution of Singularities and Division of Distributions (1970) (347)
Index theory for skew-adjoint fredholm operators (1969) (333)
The Index of elliptic operators. 5. (1971) (329)
Elliptic operators and compact groups (1974) (320)
Twisted K-theory (2004) (292)
Lacunas for hyperbolic differential operators with constant coefficients I (1970) (267)
Spectral asymmetry and Riemannian geometry. III (1976) (266)
An M theory flop as a large N duality (2000) (248)
On the Krull-Schmidt theorem with application to sheaves (1956) (242)
BOTT PERIODICITY AND THE INDEX OF ELLIPTIC OPERATORS (1968) (236)
Spin-manifolds and group actions (1970) (225)
The Geometry and Physics of Knots (1990) (213)
Group representations, λ-rings and the J-homomorphism (1969) (207)
Topological aspects of Yang-Mills theory (1978) (206)
Low energy scattering of non-Abelian monopoles (1985) (206)
Skyrmions from instantons (1989) (202)
Analytic cycles on complex manifolds (1962) (202)
The geometry and physics of knots: Frontmatter (1990) (202)
Riemann-Roch theorems for differentiable manifolds (1959) (201)
Mathematics: Frontiers and Perspectives (2000) (187)
The experience of mathematical beauty and its neural correlates (2014) (168)
A geometric construction of the discrete series for semisimple Lie groups (1977) (156)
POWER OPERATIONS IN K -THEORY (1966) (151)
On framings of 3-manifolds (1990) (149)
On equivariant Euler characteristics (1989) (148)
Instantons in two and four dimensions (1984) (144)
On analytic surfaces with double points (1958) (143)
Topological Lagrangians and cohomology (1990) (142)
The logarithm of the dedekind η-function (1987) (138)
Twisted K-theory and cohomology (2005) (127)
Sir Michael Atiyah : a great mathematician of the twentieth century (1999) (125)
The Index Problem for Manifolds with Boundary (1994) (123)
Bordism and Cobordism (1961) (115)
SYMMETRIES OF ISLAMIC GEOMETRICAL PATTERNS (1994) (113)
On the heat equation and the index theorem (1973) (112)
Lie theory and geometry : in honor of Bertram Kostant (1997) (111)
Circular symmetry and stationary phase approximation (1981) (110)
New invariants of 3 and 4 dimensional manifolds (1987) (105)
A geometric construction of the discrete series for semisimple Lie groups (1977) (95)
Vector Fields on Manifolds (2013) (93)
K -THEORY AND THE HOPF INVARIANT (1966) (93)
Vector bundles and the Künneth formula (1962) (90)
On the periodicity theorem for complex vector bundles (1964) (89)
A Lefschetz fixed point formula for elliptic differential operators (1966) (85)
Geometry and kinematics of two Skyrmions (1993) (85)
Deformations of instantons. (1977) (85)
THE GEOMETRY AND DYNAMICS OF MAGNETIC MONOPOLES. M.B. PORTER LECTURES (1988) (82)
Geometry and physics (1996) (81)
Angular momentum, convex Polyhedra and Algebraic Geometry (1983) (81)
Polyhedra in Physics, Chemistry and Geometry (2003) (79)
Introduction to the Problem of Minimal Models in the Theory of Algebraic Surfaces (1960) (79)
Eta invariants, signature defects of cusps, and values of L-functions (1983) (78)
Complex Fibre Bundles and Ruled Surfaces (1955) (76)
The geometry of point particles (2001) (73)
Responses to `Theoretical mathematics: toward a cultural synthesis of mathematics and theoretical physics', by A. Jaffe and F. Quinn (1994) (73)
Integrals of the Second Kind on an Algebraic Variety (1955) (71)
Notes on the Lefschetz fixed point theorem for elliptic complexes (1964) (70)
The Riemann–Roch theorem for analytic embeddings (1962) (66)
Twistor theory at fifty: from contour integrals to twistor strings (2017) (65)
Mathematics in the 20th century (2001) (61)
Low-energy scattering of non-Abelian magnetic monopoles (1985) (60)
Vector bundles on projective 3-space (1976) (58)
The Nature of Mathematical Proof (2005) (57)
Vector fields with finite singularities (1972) (56)
What is supersymmetry? (1986) (53)
The signature of fibre-bundles (2015) (53)
Curvature, cones and characteristic numbers (2012) (52)
Immersions and embeddings of manifolds (1962) (50)
The Unity of Mathematics (1978) (46)
Geometric models of matter (2011) (44)
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)] (1994) (43)
On the K-theory of compact lie groups (1965) (42)
Compact lie groups and the stable homotopy of spheres (1974) (42)
Representation Theory of Lie Groups (1980) (41)
Projective planes, Severi varieties and spheres (2002) (41)
Convexity and Loop Groups (1983) (41)
Eigenvalues of the dirac operator (1985) (41)
Algebraic topology and operators in Hilbert space (1969) (41)
Configurations of points (2001) (39)
On complex Stiefel manifolds (1960) (38)
Mathematics for physics (1983) (37)
The Art of Mathematics (2009) (36)
Bott Periodicity and the Parallelizability of the spheres (1961) (35)
The geometry of classical particles (2002) (34)
Quantum theory and geometry (1995) (34)
Nahm’s equations, configuration spaces and flag manifolds (2001) (34)
K-Theory Past and Present (2000) (33)
Skyrmions, instantons, mass and curvature (2004) (30)
Special Article Mathematics in the 20th Century (2002) (30)
Lacunas for hyperbolic differential operators with constant coefficients. II (1973) (29)
Idempotency: List of Participants (1998) (29)
Bakerian Lecture, 1975: Global geometry (1976) (28)
A Variant of K-theory: K_{+-} (2003) (23)
NEW INVARIANTS OF THREE-DIMENSIONAL AND FOUR-DIMENSIONAL MANIFOLDS (1987) (22)
EXPONENTIAL ISOMORPHISMS FOR λ-RINGS (1971) (19)
Pulling the strings (2005) (18)
MAGNETIC MONOPOLES AND THE YANG-BAXTER EQUATIONS (1991) (18)
DUALITY IN MATHEMATICS AND PHYSICS (2008) (17)
Fields Medallists' Lectures (1997) (17)
Topological quantum field theory (2003) (17)
Topological quantum field theory (2003) (17)
An interview with Michael Atiyah (1984) (14)
Algebraic topology and elliptic operators (2010) (14)
Complex geometry of nuclei and atoms (2016) (14)
The Jones-Witten invariants of knots (1990) (14)
Yang-Mills and bundles over algebraic curves (1981) (13)
Time evolution in a geometric model of a particle (2014) (13)
Paul Dirac: The Man and his Work (1998) (12)
A Shifted View of Fundamental Physics (2010) (12)
How research is carried out (1974) (12)
Quantum physics and the topology of knots (1995) (12)
Paul Dirac: The Dirac equation and geometry (1998) (12)
Geometric Models of Helium (2017) (11)
Anomalies and index theory (1984) (10)
Invariant differential operators and eigenspace representations (1980) (9)
The Non-Existent Complex 6-Sphere (2016) (9)
Surveys in Differential Geometry VIII, Papers in Honor of Calabi, Lawson, Siu and Uhlenbeck (2003) (9)
A survey of K-theory (1977) (8)
Signature defects of cusps and values of L-functions (1984) (8)
Maslov optimization theory: topological aspect (1998) (8)
X-THEORY AND REALITY (1966) (8)
The Encoding of Temporally Irregular and Regular Visual Patterns in the Human Brain (2008) (8)
Quantum field theory and low dimensional geometry (1990) (7)
Monopoles and Yang-Baxter equations (1995) (7)
Anyons in geometric models of matter (2016) (7)
The Harish-Chandra character (1980) (7)
On the Work of Edward Witten (1997) (6)
Mathematics in the twentieth century (2000) (6)
The Role of Algebraic Topology in Mathematics (1966) (6)
The impact of Thom’s cobordism theory (2004) (6)
Green's functions for selfdual four manifolds (1981) (6)
THE WORK OF SIMON DONALDSON (1997) (6)
Lecture 1: Transversally elliptic operators (1974) (6)
Equivariant Cohomology and Representations of the Symmetric Group (2000) (6)
THE FINE STRUCTURE CONSTANT (2018) (6)
Differential analysis : papers presented at the Bombay Colloquium, 1964 (1964) (6)
М. Вернь Formal equivariant Â class, splines and multiplicities of the index of transversally elliptic operators (2018) (5)
Abstracts of additional presentations made at the Royal Society Discussion Meeting ‘The nature of mathematical proof’ (2005) (5)
The Influence of Computers and Informatics on Mathematics and its Teaching: Mathematics and the Computer Revolution (1986) (4)
A note on the tangents of a twisted cubic (1952) (4)
Michael Atiyah collected works (2004) (4)
The Social Responsibility of Scientists (1999) (4)
Introduction To Commutative Algebra, Student Economy Edition (2015) (4)
Commentary on the article of manin (1985) (4)
What is Geometry? The 1982 Presidential Address (1982) (4)
Mathematics: Art and science (2005) (4)
Einstein and Geometry (2007) (4)
John Arthur Todd (1998) (4)
William Vallance Douglas Hodge (1977) (3)
Science for evil: the scientist's dilemma (1999) (3)
Edinburgh Lectures on Geometry, Analysis and Physics (2010) (3)
A Nuclear-Weapon-Free World: Steps Along the Way (2000) (3)
The Relativistic Geometry and Dynamics of Electrons (2018) (3)
Reflections on geometry and physics (1993) (3)
Mathematics and the computer revolution (2016) (2)
Hyperbolic differential equations and algebraic geometry (1968) (2)
THE GROTHENDIECK RING IN GEOMETRY AND TOPOLOGY (2010) (2)
Address of the President, Sir Michael Atiyah, O. M., given at the Anniversary Meeting on 30 November 1994 (1995) (2)
Understanding the 6-Dimensional Sphere (2018) (2)
Address of the President, Sir Michael Atiyah, given at the Anniversary meeting on 29 November 1991 (1992) (2)
Classical Groups and Classical Differential Operators on Manifolds (2010) (2)
APPENDIX I. THE INDEX THEOREM FOR MANIFOLDS WITH BOUNDARY (1965) (2)
Representation theory of Lie groups : proceedings of the SRC/LMS Research Symposium on Representations of Lie Groups, Oxford, 28 June-15 July 1977 (1979) (2)
Eighty Years On (2011) (2)
The Interaction between Geometry and Physics (2006) (2)
Paul Dirac: Paul Dirac: aspects of his life and work (1998) (2)
A Community of Scholars: Impressions of the Institute for Advanced Study (2011) (2)
Scalar curvature, flat Borromean rings, and the 3-body problem (2017) (2)
Vector Bundles on Algebraic Varieties: Papers presented at the Bombay Colloquium 1984 (1987) (2)
Benjamin Franklin and the Edinburgh Enlightenment1 (2006) (2)
William Vallance Douglas Hodge, 17 June 1903 - 7 July 1975 (1976) (1)
Riemann's Influence in Geometry, Analysis and Number Theory (2007) (1)
Geometry of Low-dimensional Manifolds: Representations of braid groups (1991) (1)
Congurations of points (2010) (1)
COMPLEX ANALYTIC CONNECTIONS IN FIBRE (2010) (1)
The Hirzebruch Signature Theorem for Conical Metrics (2016) (1)
Friedrich Hirzebruch (1927--2012) (2014) (1)
Raoul Harry Bott, FRS, 1923–2005 (2010) (1)
Anniversary Address by the President of the Royal Society: Sir Michael Atiyah (1996) (1)
Note on Involutions (1977) (1)
GEOMETRY AND ANALYSIS Papers dedicated to the memory of V. K. Patodi (1984) (1)
The millennium prize promblems : Clay Mathematics Institute Millennium Meeting, Collège de France, Paris, May 24-25, 2000 (2002) (1)
Real and Complex Geometry in Four Dimensions (1980) (1)
The geometry and physics of knots: History and background (1990) (1)
Geometry and Physics: Where Are We Going? (2021) (1)
Remarks on Morse Theory (1980) (1)
Integral geometry and representation theory (1980) (1)
ISLAMIC PATTERNS AND THEIR SYMMETRIES (1994) (1)
Computing and the cultures of proving. Dicussion (2005) (1)
THE WORK OF SERGE NOVIKOV (1997) (1)
K-theory : lectures by M. F. Atiyah; Notes by D. W. Anderson (1967) (1)
Geometry and analysis of Shimizu L-functions. (1982) (1)
The challenge of computer mathematics. Discussion (2005) (1)
The Israeli-Palestinian Science Organization (2007) (1)
The geometry and physics of knots: The infinite-dimensional case (1990) (1)
Erratum to the Paper: A Geometric Construction of the Discrete Series for Semisimple Lie Groups (1980) (1)
The European Mathematical Society (1991) (1)
Raoul Harry Bott. 24 September 1923 — 20 December 2005 (2007) (1)
Acte d'investidura dorctor honoris causa del Professor sir Michael Francis Atiyah (2008) (0)
Paul Dirac: The monopole (1998) (0)
Paul Dirac: Antimatter (1998) (0)
CHAPTER 10. Some Inequalities (1988) (0)
Book Review: Lectures on mechanics (1994) (0)
Lecture 6: The operators \bar \partial ^ \pm for G = S1 (1974) (0)
Lecture 4: The naturality of the index and the localization theorem (1974) (0)
A UK Academy of Medicine? (1996) (0)
PRM volume 122 issue 1-2 Cover and Front matter (1992) (0)
THE GATEWAY FROM ISLAMIC PATTERNS TO INVARIANCE AND GROUPS (1994) (0)
Lecture 10: Applications (1974) (0)
Algebraic Topology – A Student's Guide: Characters and cohomology of finite groups (1972) (0)
2006 Fields Medals Awarded, Volume 53, Number 9 (2006) (0)
Thoughts of a Mathematician (2008) (0)
CHAPTER 1. The Monopole Equations (1988) (0)
O ct 2 00 2 Lagrangian surfaces with circular ellipse of curvature in complex space forms (2008) (0)
Lecture 7: Toral actions with finite isotropy groups (1974) (0)
A problem in Euclidean Geometry (2013) (0)
Anyon Networks from Geometric Models of Matter (2021) (0)
Biodiversity A Joint Statement (1992) (0)
Józef Rotblat: My Friend (2007) (0)
The Heidelberg Laureate Forum on the moving frontier between mathematics and computer science (2017) (0)
Quantum Field Theory and Low-Dimensional Geometry (Common Trends in Mathematics and Quantum Field Theories) (1991) (0)
The Riemann Hypothesis (2018) (0)
CHAPTER 7. The 2-monopole Space (1988) (0)
Invitation to Physicists (1991) (0)
MANIFOLDS OF PIECEWISE LINEAR MAPS AND A RELATED NORMED LINEAR SPACE (2007) (0)
Address of the President, Sir Michael Atiyah, O. M., given at the Anniversary Meeting on 30 November 1993 (1994) (0)
The Feynman integral formulation (1990) (0)
Working with Raoul Bott: From geometry to physics (2010) (0)
CHAPTER 15. Comparisons with KdV Solitons (1988) (0)
Rings and Ideals (2018) (0)
Viii. Final Perspectives Viii.6 Advice to a Young Mathematician (2008) (0)
John Arthur Todd, 23 August 1908 - 22 December 1994 (1996) (0)
William Leonard Edge (2018) (0)
VI.90 William Vallance Douglas Hodge (2010) (0)
The mysteries of space (1992) (0)
Non-abelian moduli spaces (1990) (0)
CHAPTER 9. The Anti-self-dual Einstein Equations (1988) (0)
CHAPTER 2. Geometry of the Monopole Spaces (1988) (0)
if-THEORY AND THE HOPF INVARIANT (2005) (0)
New Developments in the Theory of Knots; The Geometry and Physics of Knots; The Geometry of Four‐Manifolds (1992) (0)
100 Years of Mathematics. (2000) (0)
Todd function as weak analytic function (2019) (0)
Rings and Modules of Fraction (2018) (0)
msp MATHEMATICS AND CULTURE : GEOMETRY IN OXFORD 1960 – 1990 (2012) (0)
What is a proof? Discussion (2005) (0)
MILLENNIUM LECTURE - CAIRO, 15 JANUARY 2000 (2001) (0)
Lessons from the Scottish Enlightenment (2011) (0)
Dirac operators coupled to vector potentials: (elliptic operators/index theory/characteristic classes/anomalies/gauge fields) (1989) (0)
CHAPTER 11. The Metric on M02 (1988) (0)
CHAPTER 14. Particle Scattering (1988) (0)
CLASSIFICATION,IDENTIFICATION AND CONSTRUCTION OF THE SEVENTEEN TYPES OF TWO-DIMENSIONAL PERIODIC PATTERNS (1994) (0)
Professor S.-T. Yau at 70 (2019) (0)
PRM volume 116 issue 3-4 Cover and Front matter (1990) (0)
CHAPTER 16. Background Material (1988) (0)
Jo Rotblat: Man With a Cause (2007) (0)
The Royal Society of Edinburgh Two-day Conference organised (2015) (0)
Woods Hole (Commentary on [124]) (2017) (0)
TWISTED K-THEORY OLD AND NEW 3 General plan of the paper (2007) (0)
Discrete Valuation Rings and Dedekind Domains (2018) (0)
A Geometer Explores the Universe (2012) (0)
Physics and mathematics of strings: Proceedings of a Royal Society Discussion Meeting, held on 8 and 9 December 1988 (1989) (0)
J ul 2 00 4 Twisted K-theory (0)
THE MATHEMATICAL HERITAGE OF HENRI POINCARÉ (Proceedings of Symposia in Pure Mathematics, 39) (1985) (0)
The Logarithm of the Dedekind q-Function (2004) (0)
SCIENCE AND THE MILITARY : Warfare (2003) (0)
CHAPTER 13. Geodesics on M02 (1988) (0)
Lecture 9: The cohomology formula (1974) (0)
CONFORMAL COMPACTIFICATIONS AND THEIR TOPOLOGY Objekttyp (2019) (0)
The Impact of Physics on Geometry (1988) (0)
CHAPTER 6. Particles and Symmetric Products (1988) (0)
CHAPTER 5. The Twistor Description (1988) (0)
Anyons in geometric models of matter (2017) (0)
Early papers : general papers (1988) (0)
Lacunas of hyperbolic differential equationes(講演記録) (1970) (0)
ISLAMIC PATTERNSAND THEIR GEOMETRICAL STRUCTURES (1994) (0)
Surveys in Differential Geometry XV A Shifted View of Fundamental Physics (2011) (0)
The geometry and physics of knots: Final comments (1990) (0)
Lecture 2: The index of transversally elliptic operators (1974) (0)
M. Hervé, Several Complex Variables: Local Theory (Oxford University Press, 1963), 26s. 6d. (1964) (0)
Address of the President, Sir Michael Atiyah, O. M., given at the Anniversary Meeting on 30 November 1992 (1993) (0)
EQUIVARIANT K-TΉEORY AND COMPLETION (2008) (0)
Geometry Topology and Physics (1988) (0)
Some applications of topological methods in algebraic geometry (1955) (0)
CHAPTER 3. Metric of Monopole Spaces (1988) (0)
A Community of Scholars (2017) (0)
Lecture 3: The excision and multiplicative properties (1974) (0)
Mathematics and the real world (1998) (0)
ARITHMETIC PHYSICS – ABEL LECTURE (2019) (0)
K-Theory and the Jones Polynomial (2018) (0)
LECTURES ON DIFFERENTIAL GEOMETRY (1966) (0)
PRM volume 115 issue 1-2 Cover and Front matter (1990) (0)
Lecture 5: The index homomorphism for G = S1 (1974) (0)
IN PRAISE OF PATTERN, SYMMETRY, UNITY & ISLAMIC ART (1994) (0)
New developments in the theory and application of solitons : proceedings of a Royal Society Discussion Meeting held on 1 and 2 November, 1984 (1985) (0)
Time evolution in a geometric model of a particle (2015) (0)
CHAPTER 4. Hyperkahler Property of the Metric (1988) (0)
CHAPTER 8. Spectral Radii and the Conformal Structure (1988) (0)
POWER OPERATIONS IN Z-THEORY (2005) (0)
Collected papers of V. K. Patodi (1996) (0)
The Relativistic Geometry and Dynamics of Electrons (2018) (0)
CHAPTER 12. Detailed Properties of the Metric (1988) (0)

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