Alberto Cattaneo Explained

Alberto Sergio Cattaneo
Birth Date:26 June 1967
Birth Place:Milan
Nationality:Italian
Fields:Mathematical Physics
Workplaces:University of Zurich
Alma Mater:Università degli Studi di Milano
Thesis Title:Teorie topologiche di tipo BF ed invarianti dei nodi
Thesis Year:1995
Doctoral Advisor:Maurizio Martellini
Doctoral Students:Thomas Willwacher
Website:https://www.math.uzh.ch/cattaneo/

Alberto Sergio Cattaneo (26 June 1967 in Milan)[1] is an Italian mathematician and mathematical physicist, specializing in geometry related to quantum field theory and string theory.

Biography

After attending Liceo scientifico A. Volta in Milan, Cattaneo studied physics at University of Milan, graduating in 1991. In 1995 he obtained a PhD in theoretical physics at the same university; his thesis, entitled Teorie topologiche di tipo BF ed invarianti dei nodi (Topological BF theories and knot invariants), was supervised by Maurizio Martellini.[2]

Cattaneo worked as a postdoc in 1995-1997 at Harvard University (with Arthur Jaffe) and in 1997-1998 at University of Milan (with Paolo Cotta-Ramusino). In 1998 he moved to University of Zurich's mathematics department as assistant professor and he become full professor in 2003.

In 2006 he was an invited speaker, with the talk From topological field theory to deformation quantization and reduction, at the International Congress of Mathematicians in Madrid.[3] Cattaneo was elected a Fellow of the American Mathematical Society in 2013.[4]

Research

Cattaneo's research interests include deformation quantization, symplectic and Poisson geometry, topological quantum field theories, and the mathematical aspects of perturbative quantization of gauge theories.

With Giovanni Felder he developed a path integral interpretation of the deformation quantization of Poisson manifolds (introduced in 2003 by Maxim Kontsevich),[5] as well as a description of the symplectic groupoid integrating a Poisson manifold as an infinite-dimensional symplectic quotient.[6]

He supervised 14 PhD students as of 2022.

Selected publications

Articles

Books

as editor

References

  1. Web site: Prof. Alberto S. Cattaneo. Institut für Mathematik, Universität Zürich.
  2. Web site: Alberto Cattaneo - The Mathematics Genealogy Project . 2022-06-18 . www.genealogy.math.ndsu.nodak.edu.
  3. Book: Proceedings of the International Congress of Mathematician 2006 . . 2007 . Sanz-Solé . Marta . Marta Sanz-Solé . Madrid . 339 . Soria . Javier . Varona . Juan Luis . Verdera . Joan.
  4. Web site: Fellows of the American Mathematical Society . 2022-06-18 . American Mathematical Society . en.
  5. Cattaneo . Alberto . Felder . Giovanni . Giovanni Felder . 2000 . A Path Integral Approach to the Kontsevich Quantization Formula . Communications in Mathematical Physics . 212 . 3 . 591–611 . math/9902090 . 2000CMaPh.212..591C . 10.1007/s002200000229 . 8510811.
  6. Cattaneo . Alberto S. . Felder . Giovanni . Giovanni Felder . 2001 . Poisson sigma models and symplectic groupoids . Quantization of Singular Symplectic Quotients . en . Basel . Birkhäuser . 61–93 . 10.1007/978-3-0348-8364-1_4 . 978-3-0348-8364-1. 10248666 . math/0003023 .
  7. Web site: Déformation, Quantification, Théorie de Lie. AMS Bookstore.

External links

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