Dominic Joyce

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

Joyce studied at Merton College, Oxford University and received her PhD in 1992 from Simon Donaldson (Hyper Complex and Quaternionic Manifolds and Scalar Curvature on Connected Sums). He then worked as a post-doc at Christ Church College, Oxford, Princeton University and the University of California, Berkeley . He has been a Fellow of Lincoln College in Oxford since 1995, where he was initially a University Lecturer and, thanks to a scholarship, was able to concentrate on research. He has been a professor at Oxford since 2006.

Joyce dealt with the construction of manifolds with Riemann metrics with special holonomy group . The possible holonomy groups were classified by Marcel Berger in the 1950s . Joyce succeeded in constructing missing examples from this list, compact manifolds with Riemann metrics with holonomy group G2 (called Joyce manifolds) and spin (7). While investigating these manifolds (which also have applications in string theory ) he also came across new examples of mirror symmetry.

Joyce won the London Mathematical Society's Whitehead Prize and the EMS Prize . In 1998 he was invited speaker at the International Congress of Mathematicians in Berlin (Compact manifolds with exceptional holonomy) . For 2016 he was awarded the Fröhlich Prize .

He is married and has three daughters.

Fonts

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

Web links

References

  1. one of the exceptional simple Lie groups
  2. Robert Bryant and S. Salamon constructed non-compact manifolds with these holonomy groups earlier in 1998