Graeme Segal
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Graeme Segalmathematics Degrees
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Algebraic Geometry
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Mathematics
Graeme Segal's Degrees
- PhD Mathematics University of Oxford
Why Is Graeme Segal Influential?
(Suggest an Edit or Addition)According to Wikipedia, Graeme Bryce Segal FRS is an Australian mathematician, and professor at the University of Oxford. Biography Segal was educated at the University of Sydney, where he received his BSc degree in 1961. He went on to receive his D.Phil. in 1967 from St Catherine's College, Oxford; his thesis, written under the supervision of Michael Atiyah, was titled Equivariant K-theory.
Graeme Segal's Published Works
Published Works
- Loop groups and equations of KdV type (1985) (1078)
- Categories and cohomology theories (1974) (1031)
- Classifying spaces and spectral sequences (1968) (819)
- Unitary representations of some infinite dimensional groups (1981) (786)
- The Definition of Conformal Field Theory (1988) (679)
- The Index of Elliptic Operators: II (1968) (492)
- Equivariant K-theory (1968) (478)
- Equivariant $K$-theory and completion (1969) (416)
- Configuration-spaces and iterated loop-spaces (1973) (341)
- The topology of spaces of rational functions (1979) (302)
- Twisted K-theory (2004) (292)
- Homology fibrations and the “group-completion” theorem (1976) (213)
- Lectures on Lie groups and Lie algebras (1995) (178)
- The representation ring of a compact Lie group (1968) (174)
- On equivariant Euler characteristics (1989) (148)
- D-branes and K-theory in 2D topological field theory (2006) (147)
- Floer's infinite dimensional Morse theory and homotopy theory (1994) (144)
- Heisenberg groups and noncommutative fluxes (2006) (133)
- Dirichlet Branes and Mirror Symmetry (2009) (129)
- Twisted K-theory and cohomology (2005) (127)
- The Uncertainty of Fluxes (2006) (107)
- The cohomology of the space of magnetic monopoles (1996) (85)
- Integrable Systems: Twistors, Loop Groups, and Riemann Surfaces (1999) (81)
- The geometry of the KdV equation (1991) (75)
- EQUIVARIANT STABLE HOMOTOPY THEORY (1970) (68)
- Classifying spaces related to foliations (1978) (68)
- On equivariant homotopy type (1978) (50)
- Wick Rotation and the Positivity of Energy in Quantum Field Theory (2021) (50)
- K i Groups of Rings of Algebraic Integers (1975) (49)
- K-homology theory and algebraic K-theory (1977) (48)
- The cohomology of the vector fields on a manifold (1977) (48)
- Advances in Homotopy Theory: Loop groups and harmonic maps (1989) (43)
- Equivariant bundles with abelian structural group (1983) (37)
- PERMUTATION REPRESENTATIONS OF FINITE p-GROUPS (1972) (36)
- THE MULTIPLICATIVE GROUP OF CLASSICAL COHOMOLOGY (1975) (31)
- New Developments in Topology: Operations in stable homotopy theory (1974) (26)
- New Developments in Topology: Frontmatter (1974) (23)
- Locality of Holomorphic Bundles, and Locality in Quantum Field Theory (2010) (21)
- STABILITY FOR HOLOMORPHIC SPHERES AND MORSE THEORY (1999) (20)
- EXPONENTIAL ISOMORPHISMS FOR λ-RINGS (1971) (19)
- Elliptic cohomology (2019) (19)
- Elliptic cohomology (2019) (19)
- Equivariant Contractiblity of the General Linear Group of Hilbert Space (1969) (16)
- Homology stability for classical regular semisimple varieties (2001) (16)
- HOLOMORPHIC SPHERES IN LOOP GROUPS AND BOTT PERIODICITY* (1996) (14)
- REFLECTIONS ON QUILLEN'S ALGEBRAIC K-THEORY (2013) (14)
- Mapping configuration spaces to moduli spaces (2008) (13)
- On equivariant homotopy theory (1980) (12)
- Topology, geometry and quantum field theory : proceedings of the 2002 Oxford Symposium in the honour of the 60th birthday of Graeme Segal (2004) (11)
- Characteristic classes for permutation representations (1981) (9)
- Lectures on Lie Groups and Lie Algebras: Index (1995) (6)
- М. Вернь Formal equivariant  class, splines and multiplicities of the index of transversally elliptic operators (2018) (5)
- Classifying space of a topological group in the Gel'fand — Fuks sense (1975) (5)
- Representation Theory: An introduction to the paper “Schubert cells and cohomology of the spaces G/P” (1982) (4)
- GEOMETRY AND TOPOLOGY OF MANIFOLDS The Mathematical Legacy of Charles Ehresmann (2005) (3)
- Space and spaces (2016) (3)
- Representation Theory: Two papers on representation theory (1982) (3)
- Loop groups and equations of KdV type . Bifurcations de points fixes elliptiques, 1. courbes invariantes . Singularités d'ordre supérieur de 1.formes, 2.formes et équations de pfaff . On isomorphisms of geometrically finite möbius groups (1985) (3)
- Michael Atiyah’s work in algebraic topology (2021) (2)
- Noncommutative geometry and quantum field theory (2009) (1)
- Topology of the Space of SU(2)-Monopoles in ℝ3 (2021) (1)
- Automatic control measuring and regulating devices (1965) (1)
- J ul 2 00 4 Twisted K-theory (0)
- Lectures on Lie Groups and Lie Algebras: Introduction (1995) (0)
- Elliptic Cohomology: What is an elliptic object? (2007) (0)
- Lectures on Lie Groups and Lie Algebras: Examples (1995) (0)
- Lectures on Lie Groups and Lie Algebras: Maximal compact subgroups (1995) (0)
- Compact groups and integration (1995) (0)
- Lectures on Lie Groups and Lie Algebras: Borel subgroups and maximal tori (1995) (0)
- DIFFERENTIAL TOPOLOGY: FIRST STEPS (1970) (0)
- Lectures on Lie Groups and Lie Algebras: SU 2, SO 3, and SL 2ℝ (1995) (0)
- Lectures on Lie Groups and Lie Algebras: Induced representations (1995) (0)
- Lectures on Lie Groups and Lie Algebras: Notes and references (1995) (0)
- EQUIVARIANT K-TΉEORY AND COMPLETION (2008) (0)
- IND-VARIETIES OF GENERALIZED FLAGS: A SURVEY OF RESULTS (2017) (0)
- Lectures on Lie Groups and Lie Algebras: Representations of simple Lie algebras (1995) (0)
- Lectures on Lie Groups and Lie Algebras: The Lie algebra of a linear algebraic group (1995) (0)
- Lectures on Lie Groups and Lie Algebras: Representation theory (1995) (0)
- Lectures on Lie Groups and Lie Algebras: Bibliography (1995) (0)
- 3 2 2 A ug 2 00 6 The Uncertainty of Fluxes (0)
- A pr 2 00 4 A survey of the topological properties of symplectomorphism groups Dusa McDuff (2003) (0)
- Lectures on Lie Groups and Lie Algebras: Homogeneous spaces and quotients (1995) (0)
- Lectures on Lie Groups and Lie Algebras: Homogeneous spaces (1995) (0)
- Lectures on Lie Groups and Lie Algebras: The Heisenberg group (1995) (0)
- Lectures on Lie Groups and Lie Algebras: Some theorems about matrices (1995) (0)
- Lectures on Lie Groups and Lie Algebras: Simple Lie algebras over ℂ (1995) (0)
- Lectures on Lie Groups and Lie Algebras: The Borel-Weil theorem (1995) (0)
- Affine algebraic varieties (1995) (0)
- Intraoperative Management of a Severely Kinked Endotracheal Tube and Difficult Airway. (2022) (0)
- Lectures on Lie Groups and Lie Algebras: Lie theory (1995) (0)
- Tangent spaces. Separability (1995) (0)
- Lectures on Lie Groups and Lie Algebras: Preface (1995) (0)
- 06 05 19 8 v 2 2 3 M ay 2 00 6 The Uncertainty of Fluxes (0)
- New developments in topology : the edited and revised proceedings of the Symposium on Algebraic Topology, Oxford, June 1972 (1974) (0)
- Status: R Morse Theory and Classifying Spaces Bc F ' M (2007) (0)
- Lectures on Lie Groups and Lie Algebras: Representations of SL 2ℝ (1995) (0)
- Lectures on Lie Groups and Lie Algebras: Introduction to Lie algebras (1995) (0)
- Lectures on Lie Groups and Lie Algebras: The complexification of a compact group (1995) (0)
- New Developments in Topology: Preface (1974) (0)
- Lectures on Lie Groups and Lie Algebras: The root structure of a linear algebraic group (1995) (0)
- Lectures on Lie Groups and Lie Algebras: Representations of non-compact groups (1995) (0)
- Holomorphic spheres in loop groups and Bott periodicity (1999) (0)
- Lectures on Lie Groups and Lie Algebras: Projective algebraic varieties (1995) (0)
- The Peter-Weyl theorem (1995) (0)
- TWISTED K-THEORY OLD AND NEW 3 General plan of the paper (2007) (0)
- Lectures on Lie Groups and Lie Algebras: Linear algebraic groups: definition and elementary properties (1995) (0)
- Lectures on Lie Groups and Lie Algebras: The unitary and symmetric groups (1995) (0)
- Lectures on Lie Groups and Lie Algebras: Functions on ℝ n and S n -1 (1995) (0)
- Resultants and universal coverings (2008) (0)
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Graeme Segal is affiliated with the following schools: