Alberto Cattaneo – Wikipedia

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Italian mathematician and physicist

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[edit]

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.[1]

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[edit]

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.[1]

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.[2]

Selected publications[edit]

Articles[edit]

Books[edit]

as editor[edit]

References[edit]

  1. ^ a b c “Prof. Alberto S. Cattaneo”. Institut für Mathematik, Universität Zürich.
  2. ^ a b “Alberto Cattaneo – The Mathematics Genealogy Project”. www.genealogy.math.ndsu.nodak.edu. Retrieved 2022-06-18.
  3. ^ Sanz-Solé, Marta; Soria, Javier; Varona, Juan Luis; Verdera, Joan, eds. (2007). Proceedings of the International Congress of Mathematician 2006 (PDF). Madrid: European Mathematical Society. p. 339.
  4. ^ “Fellows of the American Mathematical Society”. American Mathematical Society. Retrieved 2022-06-18.
  5. ^ Cattaneo, Alberto; 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.
  6. ^ Cattaneo, Alberto S.; Felder, Giovanni (2001). “Poisson sigma models and symplectic groupoids”. Quantization of Singular Symplectic Quotients. Basel: Birkhäuser: 61–93. doi:10.1007/978-3-0348-8364-1_4. ISBN 978-3-0348-8364-1. S2CID 10248666.
  7. ^ “Déformation, Quantification, Théorie de Lie”. AMS Bookstore.

External links[edit]