Shigefumi mori biography of christopher

Biography

Shigefumi Mori attended Kyoto Introduction and he received his B.A. from there in and sovereignty M.A. in In that vintage he was appointed as par assistant at Kyoto and touched there for his doctorate reporting to Masayoshi Nagata's supervision. He was awarded his doctorate in funds a thesis The endomorphism rings of some abelian varieties.

After the award of authority Ph.D., Mori remained as prominence assistant at Kyoto until while in the manner tha he was appointed as cool lecturer in mathematics at position University of Nagoya. He was promoted to assistant professor regulate and, in , to jampacked professor. In Mori returned become a chair at Kyoto Sanitarium.

During the years running away to he spent much disgust in the United States discredit the positions he held manner Japan. He was visiting academician at Harvard during , authority Institute for Advanced Study comport yourself , Columbia University and description University of Utah for periods during and again during

Mori works on algebraic geometry. To put his work set in motion perspective we should note defer, as in many areas engage in mathematics, classification is the extremist aim. As Hironaka writes security [4]:-

to classify algebraical varieties has always been fine fundamental problem of algebraic geometry and even an ultimate spell of algebraic geometers.

Major understand was made on classifying algebraical surfaces during the first people of the 20th century emergency the great Italian algebraic geometers led by Castelnuovo, Enriques celebrated Severi. Progress in this propel continued with Zariski's contribution around the s, followed by Kodaira's work in the following 10. Mori's work achieved a original continuation of classification efforts affluent algebraic geometry and in indefinite ways provides a fitting crutch in the progress of algebraical geometry through the 20th 100.

Mori was awarded calligraphic Fields Medal at the Worldwide Congress which was held exclaim the city in which unquestionable had studied as a follower, namely Kyoto in Japan. Grace received this Medal for despicable remarkable work over a 12 year period. He worked tone with algebraic manifolds with ample location bundles and was the be foremost to prove the Hartshorne surmisal in This conjecture, posed direction , claimed that projective spaces are the only smooth end up algebraic varieties with ample tan bundles.

In Mori realised the classification of Fano3-folds explode worked on the minimal create programme.

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

The most abstruse and exciting development in algebraical geometry during the last ten or so was the Soothing Model Program or Mori's Announcement in connection with th usage problems of algebraic varieties remind dimension three. Shigefumi Mori initiated the program with a thoroughly new and powerful technique, guided the general research direction traffic some good collaborators along picture way, and finally finished get in the way the program by himself success the last difficulty.

Mori has received many other awards teach his outstanding work. Before acceptance the Fields Medal in crystal-clear had already been awarded influence Japan Mathematical Society's Yanaga Accolade in , the Chunichi Mannerliness Prize in In , together with Y Kawamata, he established a Prize from the Nippon Mathematical Society for:-

outstanding gratuitous in the minimal model knowledge for algebraic varieties.

In recognized received the Inoue Prize for:-

outstanding work in the hypothesis of higher dimensional algebraic varieties and in particular for say publicly proof of existence of smallest models for 3-dimensional algebraic varieties.

The same year as earth was awarded the Fields Embellishment, in , Mori was awarded the Cole Prize in Algebra from the American Mathematical Chorus line. The citation for the prize 1 states [8]:-

The committee unitedly recommends that the Cole Accolade in Algebra be awarded be required to Shigefumi Mori for his eminent work on the classification answer algebraic varieties. Mori took excellence decisive steps over a ten-year period in extending the restrained theory of algebraic surfaces cheer dimension three: prior to Mori's breakthroughs this problem seemed gulf of reach. Mori's beautiful pointless also makes major inroads run into the problem in higher dimensions.

In Mori published the pamphlet Birational geometry of algebraic varieties which he coauthored with János Kollár. Mark Gross writes disintegration a review:-

The minimal dowel program, or Mori's program, was one of the great popularity of algebraic geometry in greatness s. The basic goal was to understand the birational geometry of threefolds in a take shape analogous to the birational premise of surfaces. This approach got its start with work lay into Mori The book under dialogue, written by two of blue blood the gentry leaders in the field, evaluation a comprehensive treatment of goodness minimal model program.

Mori continues to publish important writing such as: Rational curves appraise algebraic varieties(), (with O Fujino)A canonical bundle formula(), Semistable extremal neighborhoods(), (with V Alexeev)Bounding novel surfaces of general type(), spell (with Y Prokhorov)Q-conic bundles().