Nigel Hitchin - Academic Career

Academic Career

Hitchin attended Ecclesbourne School, Duffield, and earned his BA in mathematics from Jesus College, Oxford in 1968. After moving to Wolfson College, he received his D.Phil. in 1972. In 1997 he was appointed to the Savilian Chair of Geometry at Oxford University, a position previously held by his doctoral supervisor (and later research collaborator) Sir Michael Atiyah.

Amongst his notable discoveries are the Hitchin integrable system, the Hitchin–Thorpe inequality, Hitchin's projectively flat connection over Teichmüller space, Hitchin's self-duality equations, the Atiyah–Hitchin monopole metric, the ADHM construction of instantons (of Atiyah, Drinfeld, Hitchin, and Manin), and the Hyperkähler quotient (of Hitchin, Karlhede, Lindström and Rocek).

In his article on generalized Calabi–Yau manifolds, he introduced the notion of generalized complex manifolds, providing a single structure that incorporates, as examples, Poisson manifolds, symplectic manifolds and complex manifolds. These have found wide applications as the geometries of flux compactifications in string theory and also in topological string theory.

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