Graeme Segal

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Graeme B. Segal is a mathematician at Oxford University.

He was a student of Michael Atiyah, and received his Ph.D. in 1967.

His thesis was on 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.

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