Giovanni fields

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Giovanni Felder (born November 18, 1958 ) is a Swiss mathematical physicist and mathematician.

Felder attended school in Lugano and Willisau Land . He studied at the ETH Zurich , where he received his doctorate in 1986 under Jürg Fröhlich (and Konrad Osterwalder ) ( Renormalization Group, Tree Expansion, and Non-renormalizable Quantum Field Theories ). As a post-doctoral student he was at IHES . After working as a senior assistant at the ETH and stays at the Institute for Advanced Study and the Institute of Theoretical Physics at the University of California, Santa Barbara , he became assistant professor for mathematics at the ETH. From 1994 to 1996 he was Professor of Mathematics at the University of North Carolina . He has been a full professor of mathematics at ETH since 1996.

In the 1980s he worked with Krzysztof Gawedzki and Antti Kupiainen on the geometry of Wess-Zumino-Witten models in conformal field theory and later, among other things, with various integrable models of mathematical physics ( quantum field theory and statistical mechanics ) and the resulting special ones Functions (such as the elliptic gamma function, a generalization of the gamma function associated with elliptic curves ) and symmetries (such as elliptic quantum groups ) and with deformation quantization . With Alberto S. Cattaneo , he gave a path integral interpretation of the deformation quantization of Poisson manifolds by Maxim Konzewitsch in 2000 . He works with Alexander Varchenko , among others .

In 1994 he was invited speaker at the International Congress of Mathematicians in Zurich ( Conformal field theory and integrable systems associated to elliptic curves ). He is a fellow of the American Mathematical Society . In 2012 he was elected a full member of the Academia Europaea .

Since 2013 he has been director of the Institute for Theoretical Studies at ETH Zurich.

Thomas Willwacher is one of his doctoral students .

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project
  2. Felder Elliptic quantum groups , 11th International Congress Mathematical Physics, 1995
  3. Cattaneo, Felder A path integral approach to the Kontsevich quantization formula , Comm. Math. Phys., Vol. 212, 2000, pp. 591-611
  4. ^ Welcome to the Institute for Theoretical Studies. ethz.ch, accessed on February 14, 2018 .