Alberto Cattaneo

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Alberto Sergio Cattaneo (born June 26, 1967 in Milan ) is an Italian mathematician who deals with algebraic geometry .

Alberto Cattaneo (right) with Ping Xu, Oberwolfach 2003

Cattaneo graduated from Liceo A. Volta in Milan in 1986 and studied physics at the University of Milan with the Laurea degree in 1991 with Luciano Girardello (investigation of the localization properties of quasi-periodic chains with the Real Space renormalization group, Italian). In 1995 he received his doctorate in theoretical physics under Maurizio Martellini in Milan (topological BF theories and knot invariants). As a post-doctoral student he worked with Arthur Jaffe at Harvard University until 1997 and then with Paolo Cotta-Ramusino at the University of Milan. In 1998 he became an assistant professor and in 2003 a full professor at the University of Zurich .

In 2001 he was at Harvard with Raoul Bott and in 2005 at IHES .

Since his dissertation he has been dealing with topological field theories with application to knot theory . With Giovanni Felder he developed a path integral interpretation of the deformation quantization of Poisson manifolds by Maxim Kontsevich .

He is a fellow of the American Mathematical Society . He was invited speaker at the International Congress of Mathematicians 2006 in Madrid ( From topological field theory to deformation quantization and reduction ).

Fonts

  • with A. Bruguières, B. Keller, C. Torossian Déformation, Quantification, Théorie de Lie , Panoramas et Synthése 20, 2005

Web links

Individual evidence

  1. ↑ Date of birth according to the CV on his homepage
  2. ↑ Cattaneo, Felder A path integral approach to the Kontsevich quantization formula , Comm. Math. Phys., Vol. 212, 2000, pp. 591-611
personal data
SURNAME Cattaneo, Alberto
ALTERNATIVE NAMES Cattaneo, Alberto Sergio (full name)
BRIEF DESCRIPTION Italian mathematician
DATE OF BIRTH June 26, 1967
PLACE OF BIRTH Milan