Dominic Joyce

Dominic David Joyce ( born April 8, 1968) is a British mathematician who deals with differential geometry.

Joyce studied at Merton College, Oxford University and obtained his doctorate in 1992 under Simon Donaldson (Hyper Complex and quaternionic manifolds and Scalar Curvature on Connected Sums ). Subsequently he was a Post-Doc at Christ Church College, Oxford, Princeton University and the University of California, Berkeley. Since 1995 he is a Fellow of Lincoln College, Oxford, where he was University Lecturer was first and was able to concentrate thanks to a scholarship to research. Since 2006 he is a professor at Oxford.

Joyce worked on the construction of manifolds with Riemannian metrics with special holonomy. The possible Holonomiegruppen were classified in the 1950s by Marcel Berger. Joyce succeeded in constructing examples of still missing from this list, compact manifolds with Riemann metric with holonomy group G2 ( Joyce called manifolds ) and Spin ( 7). In exploring these manifolds (which have also applications in string theory ), he also came across new examples of mirror symmetry (mirror symmetry ).

Joyce won the Whitehead Prize from the London Mathematical Society and the EMS price. In 1998 he was invited speaker at the International Congress of Mathematicians in Berlin (compact manifolds with exceptional holonomy ).

He is married and has three daughters.

Writings

  • Compact manifolds with special holonomy, Oxford University Press 2000
  • Riemannian Holonomy Groups and calibrated geometry, Oxford University Press 2007
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