Paolo Cascini

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Paolo Cascini is an Italian mathematician who studies algebraic geometry .

Cascini studied at the University of Florence with a master's degree in 2000. He received his doctorate in 2004 under Fjodor Bogomolow at the Courant Institute of New York University (On the Subsheaves of the Cotangent Bundles). There he received his master’s degree in 2002. In 2004 he became Visiting Assistant Professor and in 2007 Assistant Professor at the University of California, Santa Barbara . He is a professor at Imperial College London .

He deals with the program of minimal models in the birational classification of higher dimensional algebraic varieties. With Christopher Hacon , James McKernan, and Caucher Birkar , he made advances in the classification of general-type varieties in the Minimal Model Program, for which all four received the AMS EH Moore Research Article Prize in 2016. He also deals with Kähler manifolds.

In 2008 he was a Sloan Research Fellow. In 2005 he received the Wilhelm Magnus Prize from the Courant Institute.

Fonts (selection)

  • with F. Bogomolov, B. de Oliveira: Singularities on Complete Algebraic Varieties, Central European Journal of Math., Volume 4, 2006, pp. 194-208.
  • Rational curves on complex manifolds, Milan J. of Math., Volume 81, 2013, pp. 291-315.
  • with V. Lazić: The Minimal Model Program Revisited, in: Contributions to Algebraic Geometry, EMS Publishing House, 2012, pp. 169–187.
  • with V. Lazic: New outlook on the Minimal Model Program, I, Duke Math. Journal, Volume 161, 2012, pp. 2415-2467.
  • with Caucher Birkar , Christopher Hacon , James McKernan : Existence of minimal models for varieties of log general type, Journal of the American Mathematical Society, Volume 23, 2010, pp. 405-468
  • with H. Tanaka, C. Xu: On base point freeness in positive characteristic, Annales Scientifique Ecole Normale Superieure, Volume 48, 2015, pp. 1239-1272

Web links

Individual evidence

  1. ↑ Paolo Cascini in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
personal data
SURNAME Cascini, Paolo
BRIEF DESCRIPTION Italian mathematician
DATE OF BIRTH 20th century