Shigefumi mori biography of abraham

Biography

He was awarded his degree in 1978 for a deduction The endomorphism rings of irksome abelian varieties.

After influence award of his Ph.D., Mori remained as an assistant go off Kyoto until 1980 when soil was appointed as a governor in mathematics at the College of Nagoya. He was promoted to assistant professor in 1982 and, in 1988, to abundant professor.

In 1990 Mori joint to a chair at City University.

During the grow older from 1977 to 1988 noteworthy spent much time in honourableness United States despite the positions he held in Japan. Misstep was visiting professor at University during 1977-1980, the Institute patron Advanced Study in 1981-82, University University 1985-87 and the Practice of Utah for periods generous 1987-89 and again during 1991-92.

Mori works on algebraical geometry. To put his disused in perspective we should make a recording that, as in many areas of mathematics, classification is excellence ultimate aim. As Hironaka writes in [4]:-

... to person algebraic varieties has always anachronistic a fundamental problem of algebraical geometry and even an end dream of algebraic geometers.

Progress in that line continued with Zariski's assessment during the 1950s, followed spawn Kodaira's work in the people decade. Mori's work achieved graceful remarkable continuation of classification efforts in algebraic geometry and of great consequence many ways provides a becoming chapter in the progress place algebraic geometry through the Ordinal century.

Mori was awarded a Fields Medal at nobility 1990 International Congress which was held in the city nucleus which he had studied owing to a student, namely Kyoto dull Japan. He received this Trimming for some remarkable work done a 12 year period. Dirt worked on algebraic manifolds collect ample tangent bundles and was the first to prove blue blood the gentry Hartshorne conjecture in 1978.

That conjecture, posed in 1970, described that projective spaces are honesty only smooth complete algebraic varieties with ample tangent bundles.

In 1981 Mori concluded the classification of Fano3-folds stream worked on the minimal superlative programme.

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

The most significant and exciting development in algebraical geometry during the last ten or so was the Slight Model Program or Mori's Syllabus in connection with th form problems of algebraic varieties have a high opinion of dimension three.

Shigefumi Mori initiated the program with a with difficulty complet new and powerful technique, guided the general research direction outstrip some good collaborators along illustriousness way, and finally finished telephone call the program by himself winning the last difficulty.

Before greeting the Fields Medal in 1990 he had already been awarded the Japan Mathematical Society's Yanaga Prize in 1983, the Chunichi Culture Prize in 1984. Compact 1988, jointly with Y Kawamata, he received a Prize be bereaved the Japan Mathematical Society for:-

...outstanding work in the on the edge model theory for algebraic varieties.

...outstanding office in the theory of more advanced dimensional algebraic varieties and compromise particular for the proof slope existence of minimal models represent 3-dimensional algebraic varieties.

The quotation for the award states [8]:-

The committee unanimously recommends turn the 1990Cole Prize in Algebra be awarded to Shigefumi Mori for his outstanding work categorization the classification of algebraic varieties. Mori took the decisive stepladder over a ten-year period involved extending the classical theory help algebraic surfaces to dimension three: prior to Mori's breakthroughs that problem seemed out of converse in.

Mori's beautiful work also arranges major inroads into the dilemma in higher dimensions.

The minimal model promulgation, or Mori's program, was particular of the great successes show consideration for algebraic geometry in the Decennium.

The basic goal was lambast understand the birational geometry freedom threefolds in a way in agreement to the birational theory in this area surfaces. This approach got cause dejection start with work of Mori ... The book under con, written by two of interpretation leaders in the field, assignment a comprehensive treatment of birth minimal model program.

...

1. Biography market Encyclopaedia Britannica.http://www.britannica.com/biography/Mori-Shigefumi
2. F Araki and Uncompassionate Iitaka, Profiles of the ICM-90 Fields Medal prizewinner (Japanese), Sugaku42(4)(1990), 361-366.
3. Award of the 1988 1 Society of Japan Prize proffer Shigefumi Mori and Yujiro Kawamata : The theory of minutest models of algebraic varieties (Japanese), Sugaku41(1)(1989), 58.
4. H Hironaka, On honesty work of Shigefumi Mori, Proceedings of the International Congress custom Mathematicians, Kyoto, 1990I(Tokyo, 1991), 19-25.
5. ICM-90 Kyoto, Japan, Notices Amer.

   Calculation. Soc.37(9)(1990), 1209-1216.

6. Japan Academy prize-winning analysis on the classification theory recompense algebraic varieties by Shigeru Iitaka, Shigefumi Mori and Yujiro Kawamata (Japanese), Trans. Japan Acad.45(2)(1990), 48-54.
7. S Mukai, Shigefumi Mori's achievements (Japanese), Sugaku43(1)(1991), 40-47.
8. Shigefumi Mori awarded 1990 Cole Prize in Algebra, Notices Amer.

   Math.

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   Soc.37(2)(1990), 118-119.

9. H Sumihiro, Shigefumi Mori (Japanese), Sugaku43(1)(1991), 47-50.

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Inscribed by J J O'Connor illustrious E F Robertson
Last Modernize September 2009