Shigefumi mori biography of christopher robin

Biography

After the award of his Ph.D., Mori remained as an assistant at Kyoto until when he was appointed as a lecturer in mathematics at the University of Nagoya.

Shigefumi mori biography of christopher cross

He was promoted to assistant professor in and, in , to full professor. In Mori returned to a chair at Kyoto University.

During the years from to he spent much time in the United States despite the positions he held in Japan. He was visiting professor at Harvard during , the Institute for Advanced Study in , Columbia University and the University of Utah for periods during and again during

Mori works on algebraic geometry.

To put his work in perspective we should note that, as in many areas of mathematics, classification is the ultimate aim. As Hironaka writes in [4]:-

to classify algebraic varieties has always been a fundamental problem of algebraic geometry and even an ultimate dream of algebraic geometers.

Progress in this line continued with Zariski's contribution during the s, followed by Kodaira's work in the following decade. Mori's work achieved a remarkable continuation of classification efforts in algebraic geometry and in many ways provides a fitting chapter in the progress of algebraic geometry through the 20th century.

Mori was awarded a Fields Medal at the International Congress which was held in the city in which he had studied as a student, namely Kyoto in Japan. He received this Medal for some remarkable work over a 12 year period. He worked on algebraic manifolds with ample tangent bundles and was the first to prove the Hartshorne conjecture in This conjecture, posed in , claimed that projective spaces are the only smooth complete algebraic varieties with ample tangent bundles.

In Mori completed the classification of Fano3-folds and worked on the minimal model programme.

Hironaka, speaking of Mori's work which led to the award of the Fields Medal said [4]:-

The most profound and exciting development in algebraic geometry during the last decade or so was the Minimal Model Program or Mori's Program in connection with th classification problems of algebraic varieties of dimension three.

Shigefumi mori biography of christopher jackson Shigefumi Mori is a Japanese mathematician who won a Fields Medal for his work on algebraic manifolds. Shigefumi Mori attended Kyoto University and he received his B.A. from there in and his M.A. in In that year he was appointed as an assistant at Kyoto and studied there for his doctorate under Masayoshi Nagata 's supervision.

Shigefumi Mori initiated the program with a decisively new and powerful technique, guided the general research direction with some good collaborators along the way, and finally finished up the program by himself overcoming the last difficulty.

Before receiving the Fields Medal in he had already been awarded the Japan Mathematical Society's Yanaga Prize in , the Chunichi Culture Prize in In , jointly with Y Kawamata, he received a Prize from the Japan Mathematical Society for:-

outstanding work in the minimal model theory for algebraic varieties.

outstanding work in the theory of higher dimensional algebraic varieties and in particular for the proof of existence of minimal models for 3-dimensional algebraic varieties.

The citation for the award states [8]:-

The committee unanimously recommends that the Cole Prize in Algebra be awarded to Shigefumi Mori for his outstanding work on the classification of algebraic varieties. Mori took the decisive steps over a ten-year period in extending the classical theory of algebraic surfaces to dimension three: prior to Mori's breakthroughs this problem seemed out of reach.

Mori's beautiful work also makes major inroads into the problem in higher dimensions.

The minimal model program, or Mori's program, was one of the great successes of algebraic geometry in the s.

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Shigefumi mori biography of christopher robin

The basic goal was to understand the birational geometry of threefolds in a way analogous to the birational theory of surfaces. This approach got its start with work of Mori The book under review, written by two of the leaders in the field, is a comprehensive treatment of the minimal model program.

1. Biography in Encyclopaedia Britannica.
2. F Araki and S Iitaka, Profiles of the ICM Fields Medal prizewinner (Japanese), Sugaku42(4)(),
3. Award of the Mathematical Society of Japan Prize to Shigefumi Mori and Yujiro Kawamata : The theory of minimal models of algebraic varieties (Japanese), Sugaku41(1)(),
4. H Hironaka, On the work of Shigefumi Mori, Proceedings of the International Congress of Mathematicians, Kyoto, I(Tokyo, ),
5. ICM Kyoto, Japan, Notices Amer.

   Math.

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

   Soc.37(9)(),

6. Japan Academy prize-winning research on the classification theory of algebraic varieties by Shigeru Iitaka, Shigefumi Mori and Yujiro Kawamata (Japanese), Trans. Japan Acad.45(2)(),
7. S Mukai, Shigefumi Mori's achievements (Japanese), Sugaku43(1)(),
8. Shigefumi Mori awarded Cole Prize in Algebra, Notices Amer.

   Math. Soc.37(2)(),

9. H Sumihiro, Shigefumi Mori (Japanese), Sugaku43(1)(),

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Written by J J O'Connor and E F Robertson
Last Update September