Carolina Araújo

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Carolina Bhering Araújo (born September 5, 1976 in Niterói , Brazil ) is a Brazilian mathematician .

life and work

Araújo graduated from the Pontifical Catholic University of Rio de Janeiro in 1998 with a degree in mathematics . In 2004 she did her PhD at Princeton University in New Jersey with János Kollár ( The Variety of Tangents to Rational Curves ). Since 2006 she has been working as a researcher and teacher on the postgraduate program at the Instituto de Matemática Pura e Aplicada in Rio de Janeiro . She specializes in algebraic geometry , including birational geometry, which is used to classify and describe the structure of algebraic varieties. During and after her doctorate, she developed techniques related to the theory of rational curves of minimal degree proposed by the Japanese mathematician Shigefumi Mori , which she published in 2008. In 2008 she won the L'Oreal Award for Women in Science in Brazil. In 2018 she was the organizer and invited speaker at the International Congress of Mathematicians in Rio de Janeiro ( Positivity and algebraic integrability of holomorphic foliations ). She chaired the first World Meeting for Women in Mathematics in August 2018. She was one of the female mathematicians featured in the short documentary Journeys of Women in Mathematics funded by the Simons Foundation.

Fonts (selection)

  • Rationally connected varieties, Summer Research Conference on Algebraic Geometry at Snowbird, 2005
  • Rational curves of minimal degree and characterizations of projective spaces, Mathematische Annalen, Volume 335, 2006, pp. 937-951
  • with S. Druel, S. Kovács: Cohomological characterizations of projective spaces and hyperquadrics, Inventiones Mathematicae, Volume 174, 2008, pp. 233-253
  • Identifying quadric bundle structures on complex projective varieties, Geometriae Dedicata , Volume 139, 2009, pp. 289-297
  • with Stéphane Druel: Characterization of generic projective space bundles and algebraicity of foliations, Arxiv 2017

Web links

Individual evidence