Alberto Cattaneo
Alberto Sergio Cattaneo | |
|---|---|
| File:Cattaneo xu.jpg Alberto Cattaneo (right) with Ping Xu, Oberwolfach 2003 | |
| Born | 26 June 1967 Milan |
| Alma mater | Università degli Studi di Milano |
| Scientific career | |
| Fields | Mathematical Physics |
| Institutions | University of Zurich |
| Thesis | Teorie topologiche di tipo BF ed invarianti dei nodi (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
[edit | edit source]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 the University of Milan (with Paolo Cotta-Ramusino). In 1998, he moved to University of Zurich's mathematics department as an assistant professor, and he became a 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 | edit source]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 | edit source]Articles
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Books
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References
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External links
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