Alberto Cattaneo

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

Cattaneo's research interests include

He supervised 14 PhD students as of 2022.[2]

Selected publications

Articles

• Cattaneo, Alberto S.; Cotta‐Ramusino, Paolo; Fröhlich, Jürg; Martellini, Maurizio (1995). "Topological BF theories in 3 and 4 dimensions". Journal of Mathematical Physics. 36 (11): 6137–6160.
  S2CID 166350
  .
• Cattaneo, Alberto S.; Felder, Giovanni; Tomassini, Lorenzo (2002). "From local to global deformation quantization of Poisson manifolds". Duke Mathematical Journal. 115 (2).
  S2CID 10201285
  .
• Cattaneo, A. S.; Indelicato, D. (2005). Formality and star products. Vol. 323. pp. 79–144.
  S2CID 17250747
  .
• Cattaneo, Alberto S.; Felder, Giovanni (2007). "Relative formality theorem and quantisation of coisotropic submanifolds".
  S2CID 10469717
  .
• Cattaneo, A. S. (2008). "Deformation quantization and reduction". Cont. Math. 450: 79–101.
  S2CID 218971990
  .
• Cattaneo, Alberto S.; Dherin, Benoit;
  S2CID 50308861
  .
• Cattaneo, Alberto S.; Dherin, Benoît; Weinstein, Alan (2011). "Symplectic microgeometry II: Generating functions". Bulletin of the Brazilian Mathematical Society. New Series. 42 (4): 507–536.
  S2CID 44023383
  .
• Landsman, N. P.; Pflaum, Markus;
  ISBN 978-3-0348-8364-1
  .
• Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai (2012). "Classical and quantum Lagrangian field theories with boundary".
  arXiv:1207.0239 [math-ph
  ].
• Cattaneo, Alberto S.; Dherin, Benoit; Weinstein, Alan (2013). "Symplectic microgeometry III: Monoids". Journal of Symplectic Geometry. 11 (3): 319–341.
  S2CID 50637248
  .
• Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai (2016). "Perturbative BV theories with Segal-like gluing".
  arXiv:1602.00741 [math-ph
  ].
• Cattaneo, Alberto S.; Schiavina, Michele (2017). "On Time". Letters in Mathematical Physics. 107 (2): 375–408.
  S2CID 119145820
  .
• Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai (2018). "Perturbative Quantum Gauge Theories on Manifolds with Boundary". Communications in Mathematical Physics. 357 (2): 631–730.
  S2CID 119640108
  .
• Cattaneo, Alberto S.; Moshayedi, Nima; Wernli, Konstantin (2019). "Globalization for Perturbative Quantization of Nonlinear Split AKSZ Sigma Models on Manifolds with Boundary". Communications in Mathematical Physics. 372 (1): 213–260.
  S2CID 119605584
  .
• Cattaneo, Alberto S.; Dherin, Benoit; Weinstein, Alan (2021). "Symplectic microgeometry, IV: Quantization". Pacific Journal of Mathematics. 312 (2): 355–399.
  S2CID 220546201
  .