Graeme Bryce Segal | |
---|---|

Graeme Segal in Berkeley, 1982 | |

Born | 21 December 1941 |

Nationality | Australian |

Alma mater | University of Sydney St Catherine's College, Oxford |

Known for | Atiyah–Segal completion theorem Segal conjecture |

Spouse(s) | Marina Warner |

Awards | Pólya Prize (1990) Sylvester Medal (2010) |

Scientific career | |

Fields | Mathematics |

Institutions | St John’s College, Cambridge ^{ [1] }All Souls College, Oxford |

Thesis | Equivariant K-theory (1967) |

Doctoral advisor | Michael Atiyah |

**Graeme Bryce Segal** FRS ^{ [2] } (born 21 December 1941) is an Australian mathematician, and professor at the University of Oxford.

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*.

His thesis was in the area of equivariant K-theory. The Atiyah–Segal completion theorem in that subject was a major motivation for the Segal conjecture, which he formulated. He has made many other contributions to homotopy theory in the past four decades, including an approach to infinite loop spaces. He was also a pioneer of elliptic cohomology, which is related to his interest in topological quantum field theory.

Segal was an Invited Speaker at the ICM in 1970 in Nice^{ [3] } and in 1990 in Kyoto.^{ [4] } He was elected a Fellow of the Royal Society in 1982 and an Emeritus Fellow of All Souls College, Oxford.^{ [5] } He was awarded the Sylvester Medal by the Royal Society in 2010.^{ [6] }

He was Lowndean Professor of Astronomy and Geometry from 1990 to 1999.

Segal was elected the President of the London Mathematical Society in 2011.

He is married to writer, Marina Warner. They live in London.^{ [7] }

*Loop Groups*(Oxford Mathematical Monographs). New ed. Clarendon Press, Oxford 2003, ISBN 0-19-853561-9 (with Andrew Pressley).*Lectures on Lie groups and Lie algebras*(London Mathematical Society Student texts Vol. 32). 5th ed. Cambridge University Press, Cambridge 2006, ISBN 0-521-49579-2 (with Ian G. Macdonald and Roger Carter).

**Sir Michael Francis Atiyah** was a British-Lebanese mathematician specialising in geometry.

**Edward Witten** is an American mathematical and theoretical physicist. He is currently the Charles Simonyi Professor in the School of Natural Sciences at the Institute for Advanced Study. Witten is a researcher in string theory, quantum gravity, supersymmetric quantum field theories, and other areas of mathematical physics. In addition to his contributions to physics, Witten's work has significantly impacted pure mathematics. In 1990, he became the first physicist to be awarded a Fields Medal by the International Mathematical Union, awarded for his 1981 proof of the positive energy theorem in general relativity. He is considered to be the practical founder of M-theory.

**Daniel Gray** "**Dan**" **Quillen** was an American mathematician.

**Samson Abramsky** FRS, FRSE is a computer scientist who holds the Christopher Strachey Professorship at the Department of Computer Science, University of Oxford. He has made contributions to the areas of domain theory, the lazy lambda calculus, strictness analysis, concurrency theory, interaction categories, geometry of interaction, game semantics and quantum computing.

**Sir Simon Kirwan Donaldson** is an English mathematician known for his work on the topology of smooth (differentiable) four-dimensional manifolds and Donaldson–Thomas theory. He is currently a permanent member of the Simons Center for Geometry and Physics at Stony Brook University in New York, and a Professor in Pure Mathematics at Imperial College London.

**Nigel James Hitchin** FRS is a British mathematician working in the fields of differential geometry, gauge theory, algebraic geometry, and mathematical physics. He is a Professor Emeritus of Mathematics at the University of Oxford.

**John Frank Adams** FRS was a British mathematician, one of the major contributors to homotopy theory.

**Mathai Varghese** is a mathematician at the University of Adelaide. His most influential contribution to date is the Mathai–Quillen formalism, which he formulated together with Daniel Quillen, and which has since found applications in index theory and topological quantum field theory. He was appointed a full professor in 2006. He was appointed Director of the Institute for Geometry and its Applications in 2009. In 2011, he was elected a Fellow of the Australian Academy of Science. In 2013, he was appointed the Elder Professor of Mathematics at the University of Adelaide, and was elected a Fellow of the Royal Society of South Australia. In 2017, he was awarded an ARC Australian Laureate Fellowship.

**Dusa McDuff** FRS CorrFRSE is an English mathematician who works on symplectic geometry. She was the first recipient of the Ruth Lyttle Satter Prize in Mathematics, was a Noether Lecturer, and is a Fellow of the Royal Society.

**Peter Clive Sarnak** is a South African-born mathematician with dual South-African and American nationalities. Sarnak has been a member of the permanent faculty of the School of Mathematics at the Institute for Advanced Study since 2007. He is also Eugene Higgins Professor of Mathematics at Princeton University since 2002, succeeding Andrew Wiles, and is an editor of the Annals of Mathematics. He is known for his work in analytic number theory. He also sits on the Board of Adjudicators and the selection committee for the Mathematics award, given under the auspices of the Shaw Prize.

**Segal's Burnside ring conjecture**, or, more briefly, the **Segal conjecture**, is a theorem in homotopy theory, a branch of mathematics. The theorem relates the Burnside ring of a finite group *G* to the stable cohomotopy of the classifying space *BG*. The conjecture was made in the mid 1970s by Graeme Segal and proved in 1984 by Gunnar Carlsson. As of 2016, this statement is still commonly referred to as the Segal conjecture, even though it now has the status of a theorem.

**Richard Samuel Ward** FRS is a British mathematical physicist. He is a Professor of Theoretical Physics at the University of Durham.

**Dame Frances Clare Kirwan**, is a British mathematician, currently Savilian Professor of Geometry at the University of Oxford. Her fields of specialisation are algebraic and symplectic geometry.

The **Atiyah–Segal completion theorem** is a theorem in mathematics about equivariant K-theory in homotopy theory. Let *G* be a compact Lie group and let *X* be a *G*-CW-complex. The theorem then states that the projection map

**Michael Jerome Hopkins** is an American mathematician known for work in algebraic topology.

**John Lawrence Cardy**FRS is a British-American theoretical physicist at the University of California, Berkeley. He is best known for his work in theoretical condensed matter physics and statistical mechanics, and in particular for research on critical phenomena and two-dimensional conformal field theory.

The position of **Savilian Professor of Geometry ** was established at the University of Oxford in 1619. It was founded by Sir Henry Savile, a mathematician and classical scholar who was Warden of Merton College, Oxford, and Provost of Eton College, reacting to what has been described by one 20th-century mathematician as "the wretched state of mathematical studies in England" at that time. He appointed Henry Briggs as the first professor. Edward Titchmarsh said when applying that he was not prepared to lecture on geometry, and the requirement was removed from the duties of the post to enable his appointment, although the title of the chair was not changed. The two Savilian chairs have been linked with professorial fellowships at New College, Oxford since the late 19th century. Before then, for over 175 years until the middle of the 19th century, the geometry professors had an official residence adjoining the college in New College Lane.

**Christopher Michael Hull** is a professor of theoretical physics at Imperial College London. Hull is known for his work on string theory, M-theory, and generalized complex structures. Edward Witten drew partially from Hull's work for his development of M-theory.

**Philip Candelas**, is a British physicist and mathematician. He has served as Rouse Ball Professor of Mathematics at the University of Oxford and is a Fellow of Wadham College, Oxford.

**Ralph Louis Cohen** is an American mathematician, specializing in algebraic topology and differential topology.

- ↑ Dr Graeme Segal - All Souls College Oxford
- ↑ "Fellows of the Royal Society". Royal Society. Retrieved 14 December 2011.
Dr Graeme Segal, elected fellow 1982

- ↑ Segal, G. "Equivariant stable homotopy theory." In Actes du Congrès International des Mathématiciens (Nice, 1970), vol. 2, pp. 59–63. 1970.
- ↑ Segal, Graeme. "Geometric aspects of quantum field theory." In Proc. Intern. Congress Kyoto 1990, Math. Soc, pp. 1387–1396. 1990.
- ↑ "Graeme Segal wins Sylvester Medal". All Souls College, Oxford. 9 June 2010. Archived from the original on 4 October 2010. Retrieved 12 October 2010.
- ↑ "The Sylvester Medal". The Royal Society. Retrieved 12 October 2010.
- ↑ Higgins, Charlotte (6 March 2021). "Interview - Marina Warner".
*The Guardian*. Retrieved 7 March 2021.,

- Dr Graeme Segal FRS, Mathematical Institute, University of Oxford
- Graeme Segal at the Mathematics Genealogy Project
- Topology, Geometry and Quantum Field Theory. Proceedings of the 2002 Oxford Symposium in Honour of the 60th Birthday of Graeme Segal.

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