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# Shigefumi Mori

Shigefumi Mori (森 重文 Mori Shigefumi, born February 23, 1951) is a Japanese mathematician, known for his work in algebraic geometry, particularly in relation to the classification of three-folds.

He generalized the classical approach to the classification of algebraic surfaces to the classification of algebraic three-folds. The classical approach used the concept of minimal models of algebraic surfaces. He found that the concept of minimal models can be applied to three-folds as well if we allow some singularities on them.

The extension of Mori’s results to dimensions higher than three is called the Mori program and as of 2006, is an extremely active area of algebraic geometry.

He was awarded the Fields Medal in 1990 at the International Congress of Mathematicians.

He has been a professor at Kyoto University since 1990.

Selected publications

* Mori, Shigefumi (1979). "Projective manifolds with ample tangent bundles". Ann. Of Math. (The Annals of Mathematics, Vol. 110, No. 3) 110 (3): 593--606. doi:10.2307/1971241. http://jstor.org/stable/1971241.

* Mori, Shigefumi (1982). "Threefolds whose canonical bundles are not numerically effective". Ann. Of Math. (The Annals of Mathematics, Vol. 116, No. 1) 116 (1): 133--176. doi:10.2307/2007050. http://jstor.org/stable/2007050.

* Mori, Shigefumi (1988). "Flip theorem and existence of minimal models for 3-folds". J. Amer. Math. Soc. (Journal of the American Mathematical Society, Vol. 1, No. 1) 1 (1): 117--253. doi:10.2307/1990969. http://jstor.org/stable/1990969.

References

* O'Connor, John J.; Robertson, Edmund F., "Mori, Shigefumi", MacTutor History of Mathematics archive, University of St Andrews, http://www-history.mcs.st-andrews.ac.uk/Biographies/Mori.html .

* Shigefumi Mori at the Mathematics Genealogy Project

* Heisuke Hironaka, The work of Shigefumi Mori. Fields Medallists Lectures, Michael F. Atiyah (Editor), Daniel Iagolnitzer (Editor); World Scientific Publishing, 2007. ISBN 9810231172

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