Giovanni Felder

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Giovanni Felder (born 18 November 1958) is a Swiss mathematical physicist and mathematician. He specializes in "algebraic and geometric properties of integrable models of statistical mechanics and quantum field theory."[1]

Education and career[]

Felder attended school in Lugano and Willisau District. He studied at ETH Zurich, where he graduated with M.Sc. in 1982 and with Ph.D. in 1986.[2] His doctoral dissertation Renormalization Group, Tree Expansion, and Non-renormalizable Quantum Field Theories was supervised by Jürg Fröhlich (and Konrad Osterwalder).[3] After holding postdoctoral positions from 1986 to 1988 at IHES, from 1988 to 1989 at the Institute for Advanced Study,[2] and from 1989 to 1991 at the Institute of Theoretical Physics, ETH Zurich, Felder was from 1991 to 1994 an assistant professor of mathematics at ETH Zurich. From 1994 to 1996 he was a professor of mathematics at the University of North Carolina. Since 1996 he is a professor of mathematics at ETH Zurich.[4] Since 2013 he is the director of the Institute for Theoretical Studies at ETH Zurich.[5]

In the late 1980s he did research with Krzysztof Gawedzki and Antti Kupiainen on the geometry of the Wess-Zumino-Witten model in conformal field theory.[6][7] In 1989 he introduced a BRST approach to the "minimal two-dimensional conformal invariant models of Belavin, Polyakov and Zamolodchikov."[8] With Alexander Varchenko and others, Felder did research on various integrable models[9] in quantum field theory and statistical mechanics and resulting special functions (such as the elliptical gamma function,[10] elliptic quantum groups,[11] and elliptic Macdonald polynomials).[12] With Alberto S. Cattaneo in 2000 he gave a path integral interpretation of Kontsevich's deformation quantization of Poisson manifolds.[13]

In 1994 Felder was an invited speaker with talk Conformal field theory and integrable systems associated to elliptic curves at the International Congress of Mathematicians in Zurich.[14] In 2012 he was elected a full member of the Academia Europaea.[4] He was elected a fellow of the American Mathematical Society in the Class of 2013 (announced in 2012).

His doctoral students include Thomas Willwacher.

References[]

  1. ^ "Felder, Giovanni, Prof. Dr". ETH Zürich, Mathematics Department.
  2. ^ Jump up to: a b "Giovanni Felder". Institute for Advanced Study. 9 December 2019.
  3. ^ Giovanni Felder at the Mathematics Genealogy Project
  4. ^ Jump up to: a b "Giovanni Felder". Academia Europaea.
  5. ^ "50 million Swiss francs to Institute for Theoretical Studies". EurekAlert!, American Association for the Advancement of Science. 15 May 2013.
  6. ^ Felder, G.; Gawedzki, K.; Kupiainen, A. (1988). "Spectra of Wess-Zumino-Witten models with arbitrary simple groups". Communications in Mathematical Physics. 117 (1): 127–158. Bibcode:1988CMaPh.117..127F. doi:10.1007/BF01228414. S2CID 119767773.
  7. ^ Felder, G.; Gawȩdzki, K.; Kupiainen, A. (1988). "The spectrum of Wess-Zumino-Witten models". Nuclear Physics B. 299 (2): 355–366. Bibcode:1988NuPhB.299..355F. doi:10.1016/0550-3213(88)90288-X.
  8. ^ Felder, Giovanni (1989). "BRST approach to minimal models". Nuclear Physics B. 317 (1): 215–236. Bibcode:1989NuPhB.317..215F. doi:10.1016/0550-3213(89)90568-3.
  9. ^ Felder, Giovanni; Varchenko, Alexander; Tarasov, Vitaly (1996). "Solutions of the elliptic qKZB equations and Bethe ansatz I". arXiv:q-alg/9606005. Bibcode:1996q.alg.....6005F. Cite journal requires |journal= (help)
  10. ^ Felder, Giovanni; Varchenko, Alexander (2000). "The Elliptic Gamma Function and SL(3, Z)⋉Z3  ". Advances in Mathematics. 156: 44–76. doi:10.1006/aima.2000.1951. S2CID 16762932.
  11. ^ Felder, Giovanni; Varchenko, Alexander (1996). "On representations of the elliptic quantum group τ,η". Communications in Mathematical Physics. 181 (3): 741–761. arXiv:q-alg/9601003. Bibcode:1996CMaPh.181..741F. doi:10.1007/BF02101296. S2CID 119128058.
  12. ^ Felder, Giovanni; Varchenko, Alexander (2004). "Hypergeometric theta functions and elliptic Macdonald polynomials". International Mathematics Research Notices. 2004 (21): 1037. arXiv:math/0309452. doi:10.1155/S1073792804132893.
  13. ^ Cattaneo, Alberto S.; Felder, Giovanni (2000). "A Path Integral Approach to the Kontsevich Quantization Formula". Communications in Mathematical Physics. 212 (3): 591–611. arXiv:math/9902090. Bibcode:2000CMaPh.212..591C. doi:10.1007/s002200000229. S2CID 8510811.
  14. ^ "Conformal field theory and integrable systems associated to elliptic curves by Giovanni Felder". Proceedings of the International Congress of Mathematicians. August 3–11, 1994, Zürich, Switzerland. vol. 2. Birkhäuser Basel. 1995. pp. 1247–1255. ISBN 978-3-7643-5153-3. |volume= has extra text (help)

External links[]

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