Graeme Segal

BSc, MA, DPhil, FRS

Senior Research Fellow, All Souls College, Oxford (from 1999 to 2009)
Lowndean Professor of Astronomy and Geometry, and Fellow of St John’s College, Cambridge (from 1990 to 1999)
Oxford University: Junior Lecturer in Mathematics (1965-6); CUF Lecturer (1966-70); Science Research Council Research Associate (1971-5); University Lecturer (1975-8); Reader (1978-89); Professor of Mathematics (ad hominem) (1989-90) (from 1965 to 1990)
Fellow, St Catherine’s College, Oxford (from 1966 to 1990)
Junior Research Fellow, Worcester College, Oxford (from 1964 to 1966)
Graduate student, Balliol College, Oxford (from 1963 to 1964)
Graduate student, St. John’s College, Cambridge (from 1962 to 1963)
Undergraduate, University of Sydney (from 1958 to 1961)

Geometry: algebraic topology and the structure of manifolds
Quantum field theory: its conceptual and mathematical structure; geometric applications of field theory; two-dimensional conformal field theory
Global analysis: index theory, geometry and representations of finite- and infinite-dimensional Lie groups; integrable systems

‘The definition of conformal field theory’, in U. Tillmann (ed.), Topolology, geometry, and quantum field theory (CUP, 2004)
(with A. Pressley), Loop groups (OUP, 1986)
‘Loop groups and equations of KdV type’, IHES Publ. Math., 61 (1985), 5-65
‘Unitary representations of some infinite-dimensional groups’, Comm. Math. Phys., 80 (1981), 301-42
‘The topology of spaces of rational functions’, Acta Mathematica, 143 (1979), 39-72
‘Categories and cohomology theories’, Topology, 13 (1974), 293-312