John E. Roberts

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John Elias Roberts (born November 20, 1939 in New Malden ; † August 3, 2015 ) was a British theoretical physicist and mathematician who dealt with axiomatic quantum field theory ( local quantum physics according to Rudolf Haag ).

Roberts had an English father and an Austrian mother. He studied mathematics at the University of Cambridge , where he received his doctorate in 1965 under Richard J. Eden (second advisor was Res Jost from ETH Zurich , where he was in 1963/64). As a post-doctoral student he was with Rudolf Haag at the University of Hamburg , where his collaboration with Sergio Doplicher began. With Haag and Doplicher a series of papers appeared up to 1974. After that he was at the Center for Theoretical Physics of the University of Marseille-Luminy and the CNRS . In 1977 he became a professor at the University of Osnabrück . From 1992 he was professor at the University of Rome (Tor Vergata), where he met colleagues such as Sergio Doplicher, Roberto Longo and Claudia Pinzari .

Roberts worked with Doplicher and Haag on superselection rules in algebraic QFT and with Doplicher on a reconstruction theorem of the fields of gauge groups from observable algebras (1990). In doing so, he introduced little-used mathematical concepts in this area, such as category theory (tensor categories), formulation of the structure theory of super-selection sectors as cohomology theory and Cuntz algebras. Together with colleagues in Rome, he also applied sector theory to curved space-times.

In 2002 he was awarded a Humboldt Research Prize with Detlev Buchholz at the University of Göttingen. He went there after his retirement in Rome in 2012.

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