Matilde Marcolli

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Matilde Marcolli (born November 30, 1969 in Como ) is an Italian mathematician.

Life

Marcolli received her physics diploma (Laurea) summa cum laude from the University of Milan with Piccinini ( Classes of self equivalences of fiber bundles ) in 1993 . In 1994 she completed her master's degree in mathematics at the University of Chicago , where she received her doctorate in 1997 from Melvin Rothenberg ( Three dimensional aspects of Seiberg-Witten Gauge Theory ). She then was a Moore Instructor at the Massachusetts Institute of Technology (MIT) until 2000 . In 2000 she became a Senior Researcher at the Max Planck Institute for Mathematics in Bonn . At the same time, she has been an Associate Professor at Florida State University in Tallahassee since 2001 . She has previously been visiting scholar at the Tata Institute of Fundamental Research , Johns Hopkins University , the Kavli Institute for Theoretical Physics , the Mittag-Leffler Institute in Stockholm and the Isaac Newton Institute in Cambridge. Since September 2008 she has been a professor at Caltech and since 2006 an honorary professor at the University of Bonn. She has been a professor at the University of Toronto since 2017, having previously worked at the Perimeter Institute .

Marcolli works on the application of Alain Connes ' non-commutative geometry , for example in number theory and physics (renormalization theory, quantum Hall effect, cosmology). In addition to Connes, she also works with Caterina Consani and Yuri Manin .

In 2001 she received the Heinz Maier-Leibnitz Prize of the German Research Foundation (DFG) and in 2002 the Sofja Kovalevskaja Prize of the Alexander von Humboldt Foundation . In 2008 she was plenary speaker at the 5th European Congress of Mathematicians in Amsterdam (Renormalization, Galois symmetries and motives) and was invited speaker at the International Congress of Mathematicians (ICM) 2010 ( Noncommutative geometry and arithmetic ).

Fonts

  • Seiberg-Witten Gauge Theory. Hindustan Book Agency, New Delhi 1999.
  • Matilde Marcolli, Yuri Manin: Continued fractions, modular symbols, and non-commutative geometry . 2001. arxiv : math / 0102006
  • with Caterina Consani: Non-commutative geometry, dynamics, and ∞-adic Arakelov-Geometry . 2002. arxiv : math / 0205306
  • Lectures on Arithmetic Noncommutative Geometry. Vanderbilt University, 2004 (also University Lectures Series, 2005). arxiv : math / 0409520
  • Arithmetic noncommutative geometry. AMS, 2005.
  • Matilde Marcolli, Alain Connes: A walk in the noncommutative garden . 2006. arxiv : math / 0601054
  • Editor with Caterina Consani: Noncommutative geometry and Number Theory. Vieweg, 2006.
  • Matilde Marcolli, Alain Connes: From Physics to Number Theory via Noncommutative Geometry . Part I: Quantum Statistical Mechanics of Q-lattices . In: Pierre Cartier u. a .: Frontiers in Number Theory, Physics and Geometry. Volume 1. Springer Verlag, 2006 (Les Houches, 2004). arxiv : math / 0404128
  • Modular curves, C * algebras and chaotic cosmology. In: Pierre Cartier u. a. Frontiers in Number Theory, Physics and Geometry. Volume 2. Springer Verlag, 2007.
  • With Alain Connes: Renormalization, the Riemann-Hilbert Correspondence and Motivic Galois-Theory. In: Pierre Cartier u. a .: Frontiers in Number Theory, Physics and Geometry. Volume 2. Springer Verlag, 2007.
  • with Masoud Khalkhali (ed.): An invitation to Noncommutative geometry. World Scientific, 2008.
  • with Alain Connes : Noncommutative geometry, quantum fields and motives. AMS Colloquium Publications, 2008.
  • Feynman motives. World Scientific, 2009.
  • Noncommutative Cosmology . World Scientific, 2017

Web links

Remarks

  1. Associate Professor is listed on their homepage at Caltech