Shigefumi Mori: Difference between revisions

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{{Short description|Japanese mathematician (born 1951)}}
{{Infobox scientist
{{Infobox scientist
|name = Shigefumi Mori
| name = Shigefumi Mori
|image = Shigefumi_Mori.jpg
| image = Shigefumi Mori cropped 1 Shigefumi Mori 20211103.jpg
⚫
| birth_date = {{birth date and age|1951|02|23}}
|image_size = 224px
|caption = Shigefumi Mori
| birth_place = [[Nagoya]], [[Japan]]
| death_date =
⚫
|birth_date = {{birth date and age|1951|02|23}}
| death_place =
|birth_place = [[Nagoya]], [[Japan]]
|death_date =
| nationality = [[Japan]]ese
|death_place =
| field = [[Mathematician]]
⚫
| work_institutions = [[Nagoya University]]<br>[[Kyoto University]]
|nationality = [[Japan]]ese
|field = [[Mathematician]]
| alma_mater = [[Kyoto University]]
| thesis_title = The Endomorphism Rings of Some Abelian Varieties
⚫
|work_institutions = [[Kyoto University]]
|alma_mater = [[Kyoto University]]
| thesis_year = 1978
|doctoral_advisor = [[Masayoshi Nagata]]
| doctoral_advisor = [[Masayoshi Nagata]]
|doctoral_students =
| doctoral_students =
|known_for = [[Algebraic geometry]]
| known_for = [[Algebraic geometry]]<br>[[minimal model program]]
|awards = [[Fields Medal]] (1990)<br>[[Cole Prize]] (1990)
| awards = [[Fields Medal]] (1990)<br>[[Cole Prize]] (1990)
}}
}}
{{nihongo|'''Shigefumi Mori'''|森 重文|Mori Shigefumi|extra=born February 23, 1951}} is a [[Japan]]ese [[mathematician]], known for his work in [[algebraic geometry]], particularly in relation to the classification of [[three-fold]]s.
{{nihongo|'''Shigefumi Mori'''|森 重文|Mori Shigefumi|extra=born February 23, 1951}} is a Japanese [[mathematician]], known for his work in [[algebraic geometry]], particularly in relation to the classification of [[three-fold]]s.


==Career==
⚫
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 model (birational geometry)|minimal model]]s of [[algebraic surfaces]]. He found that the concept of [[minimal model (birational geometry)|minimal models]] can be applied to [[three-folds]] as well if we allow some [[Singularity (mathematics)|singularities]] on them.
⚫
Mori completed his Ph.D. titled "The Endomorphism Rings of Some Abelian Varieties" under [[Masayoshi Nagata]] at [[Kyoto University]] in 1978.<ref>{{MathGenealogy|id=100894}}</ref> He was a visiting professor at [[Harvard University]] during 1977–1980, the [[Institute for Advanced Study]] in 1981–82, [[Columbia University]] 1985–87 and the [[University of Utah]] for periods during 1987–89 and again during 1991–92. He has been a professor at [[Kyoto University]] since 1990.


==Work==
The extension of Mori’s results to dimensions higher than three is called the [[Mori program]] and, as of 2006, is an active area of [[algebraic geometry]].
[[File:Widden Mori.jpg|thumb|left|200px|With [[Edward Witten]] (1990)]]
⚫
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 model (birational geometry)|minimal model]]s of [[algebraic surfaces]]. He found that the concept of [[minimal model (birational geometry)|minimal models]] can be applied to [[three-folds]] as well if we allow some [[Singularity (mathematics)|singularities]] on them. The extension of Mori's results to dimensions higher than three is called the [[minimal model program]] and is an active area of research in algebraic geometry.


⚫
He has been elected president of the [[International Mathematical Union]], becoming the first head of the group from East Asia.<ref>{{Cite news | url=http://www.japantimes.co.jp/news/2014/08/12/national/kyoto-university-professor-elected-head-international-mathematical-union/ | title=Kyoto University professor elected head of International Mathematical Union| newspaper=The Japan Times Online| date=2014-08-12}}</ref>

==Awards==
He was awarded the [[Fields Medal]] in 1990 at the [[International Congress of Mathematicians]].
He was awarded the [[Fields Medal]] in 1990 at the [[International Congress of Mathematicians]].


In 2021, he received the [[Order of Culture]].<ref>{{cite web |url= https://www.jiji.com/jc/article?k=2021102600557&g=pol|title= 長嶋茂雄さんら9人文化勲章 功労者に加山雄三さんら|access-date= October 26, 2021|work= Jiji.com}}</ref>
⚫
He was visiting professor at [[Harvard University]] during 1977–1980, the [[Institute for Advanced Study]] in 1981–82, [[Columbia University]] 1985–87 and the [[University of Utah]] for periods during 1987–89 and again during 1991–92. He has been a professor at [[Kyoto University]] since 1990.


⚫
== Major publications ==
⚫
He has been elected president of the [[International Mathematical Union]], becoming the first head of the group from East Asia.<ref>http://www.japantimes.co.jp/news/2014/08/12/national/kyoto-university-professor-elected-head-international-mathematical-union/</ref>
[[File:Shigefumi Mori ICM 2018.jpg|thumb|200px|Mori attended the opening ceremony of the [[International Congress of Mathematicians]] (2018)]]

* {{cite journal |doi=10.2307/1971241|jstor=1971241|last1=Mori|first1=Shigefumi|title=Projective Manifolds with Ample Tangent Bundles|journal=[[Annals of Mathematics]]|year=1979|volume=110|issue=3|pages=593–606}}
⚫
== Selected publications ==
* {{cite journal |doi=10.1007/BF01170131|title=Classification of Fano 3-folds with B<sub>2</sub>≥2.|year=1981|last1=Mori|first1=Shigefumi|last2=Mukai|first2=Shigeru|journal=Manuscripta Mathematica|volume=36|issue=2|pages=147–162|s2cid=189831516}}
* {{cite journal
** {{cite journal |doi=10.1007/s00229-002-0336-2|title=Classification of Fano 3-folds with B<sub>2</sub>≥2. (Erratum)|year=2003|last1=Mori|first1=Shigefumi|last2=Mukai|first2=Shigeru|journal=Manuscripta Mathematica|volume=110|issue=3|page=407|s2cid=121266346}}
| last = Mori
* {{cite journal |doi=10.2307/2007050|jstor=2007050|last1=Mori|first1=Shigefumi|title=Threefolds Whose Canonical Bundles Are Not Numerically Effective|journal=Annals of Mathematics|year=1982|volume=116|issue=1|pages=133–176}}
| first = Shigefumi
* {{cite journal |doi=10.1090/S0894-0347-1988-0924704-X|title=Flip theorem and the existence of minimal models for 3-folds|year=1988|last1=Mori|first1=Shigefumi|journal=[[Journal of the American Mathematical Society]]|volume=1|issue=1 |pages=117–253|jstor=1990969|doi-access=free}}
| title = Projective manifolds with ample tangent bundles
* Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi. Rationally connected varieties. J. Algebraic Geom. 1 (1992), no. 3, 429–448.
| journal = [[Ann. of Math.]]
* {{cite journal |doi=10.4310/jdg/1214453188|title=Rational connectedness and boundedness of Fano manifolds|year=1992|last1=Kollár|first1=János|last2=Miyaoka|first2=Yoichi|last3=Mori|first3=Shigefumi|journal=[[Journal of Differential Geometry]]|volume=36|issue=3|s2cid=118102421 |doi-access=free}}
| volume = 110
* {{cite journal |doi=10.1090/S0894-0347-1992-1149195-9|title=Classification of three-dimensional flips|year=1992|last1=Kollár|first1=János|last2=Mori|first2=Shigefumi|journal=Journal of the American Mathematical Society|volume=5|issue=3|pages=533–703|jstor=2152704|doi-access=free}}
| year = 1979
* {{cite journal |doi=10.2307/2951828|jstor=2951828|last1=Keel|first1=Sean|last2=Mori|first2=Shigefumi|title=Quotients by Groupoids|journal=Annals of Mathematics|year=1997|volume=145|issue=1|pages=193–213|s2cid=17830187}}
| pages = 593–606
* Kollár, János; Mori, Shigefumi. Birational geometry of algebraic varieties. With the collaboration of C. H. Clemens and A. Corti. Translated from the 1998 Japanese original. Cambridge Tracts in Mathematics, 134. Cambridge University Press, Cambridge, 1998. viii+254 pp. {{ISBN|0-521-63277-3}}
| doi = 10.2307/1971241
| issue = 3
| jstor = 1971241
| mr = 0554387
}}
* {{cite journal
| last = Mori
| first = Shigefumi
| title = Threefolds whose canonical bundles are not numerically effective
| journal = [[Ann. of Math.]]
| volume = 116
| year = 1982
| pages = 133–176
| doi = 10.2307/2007050
| issue = 1
| jstor = 2007050
| mr = 0662120
}}
* {{cite journal
| last = Mori
| first = Shigefumi
| title = Flip theorem and existence of minimal models for 3-folds
| journal = [[J. Amer. Math. Soc.]]
| volume = 1
| year = 1988
| pages = 117–253
| doi = 10.2307/1990969
| issue = 1
| jstor = 1990969
| mr = 924704
}}


==See also==
==See also==
Line 76: Line 53:
{{Reflist}}
{{Reflist}}
*{{MacTutor Biography|id=Mori}}
*{{MacTutor Biography|id=Mori}}
*{{MathGenealogy|id=100894}}
*[[Heisuke Hironaka]], [https://books.google.com/books?id=q6eSjV-0egUC&pg=PA487 The work of Shigefumi Mori.] Fields Medallists Lectures, Michael F. Atiyah (Editor), Daniel Iagolnitzer (Editor); [[World Scientific Publishing]], 2007. {{isbn|981-02-3117-2}}
*[[Heisuke Hironaka]], [https://books.google.com/books?id=q6eSjV-0egUC&pg=PA487 The work of Shigefumi Mori.] Fields Medallists Lectures, Michael F. Atiyah (Editor), Daniel Iagolnitzer (Editor); [[World Scientific Publishing]], 2007. {{isbn|981-02-3117-2}}


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[[Category:People from Nagoya]]
[[Category:People from Nagoya]]
[[Category:Kyoto University alumni]]
[[Category:Kyoto University alumni]]
[[Category:Kyoto University faculty]]
[[Category:Academic staff of Kyoto University]]
[[Category:Nagoya University faculty]]
[[Category:Academic staff of Nagoya University]]
[[Category:Foreign Members of the Russian Academy of Sciences]]
[[Category:Foreign Members of the Russian Academy of Sciences]]
[[Category:Foreign associates of the National Academy of Sciences]]
[[Category:Institute for Advanced Study visiting scholars]]
[[Category:Institute for Advanced Study visiting scholars]]
[[Category:Persons of Cultural Merit]]
[[Category:Persons of Cultural Merit]]
[[Category:Recipients of the Order of Culture]]
[[Category:University of Utah faculty]]
[[Category:University of Utah faculty]]
[[Category:Columbia University faculty]]
[[Category:Columbia University faculty]]
[[Category:Harvard University faculty]]
[[Category:Harvard University Department of Mathematics faculty]]
[[Category:Presidents of the International Mathematical Union]]

Latest revision as of 08:17, 6 March 2024

Shigefumi Mori
Born (1951-02-23) February 23, 1951 (age 73)
Nagoya, Japan
NationalityJapanese
Alma materKyoto University
Known forAlgebraic geometry
minimal model program
AwardsFields Medal (1990)
Cole Prize (1990)
Scientific career
FieldsMathematician
InstitutionsNagoya University
Kyoto University
Thesis The Endomorphism Rings of Some Abelian Varieties  (1978)
Doctoral advisorMasayoshi Nagata

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.

Career[edit]

Mori completed his Ph.D. titled "The Endomorphism Rings of Some Abelian Varieties" under Masayoshi Nagata at Kyoto University in 1978.[1] He was a visiting professor at Harvard University during 1977–1980, the Institute for Advanced Study in 1981–82, Columbia University 1985–87 and the University of Utah for periods during 1987–89 and again during 1991–92. He has been a professor at Kyoto University since 1990.

Work[edit]

With Edward Witten (1990)

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 minimal model program and is an active area of research in algebraic geometry.

He has been elected president of the International Mathematical Union, becoming the first head of the group from East Asia.[2]

Awards[edit]

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

In 2021, he received the Order of Culture.[3]

Major publications[edit]

Mori attended the opening ceremony of the International Congress of Mathematicians (2018)
  • Mori, Shigefumi (1979). "Projective Manifolds with Ample Tangent Bundles". Annals of Mathematics. 110 (3): 593–606. doi:10.2307/1971241. JSTOR 1971241.
  • Mori, Shigefumi; Mukai, Shigeru (1981). "Classification of Fano 3-folds with B2≥2". Manuscripta Mathematica. 36 (2): 147–162. doi:10.1007/BF01170131. S2CID 189831516.
  • Mori, Shigefumi (1982). "Threefolds Whose Canonical Bundles Are Not Numerically Effective". Annals of Mathematics. 116 (1): 133–176. doi:10.2307/2007050. JSTOR 2007050.
  • Mori, Shigefumi (1988). "Flip theorem and the existence of minimal models for 3-folds". Journal of the American Mathematical Society. 1 (1): 117–253. doi:10.1090/S0894-0347-1988-0924704-X. JSTOR 1990969.
  • Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi. Rationally connected varieties. J. Algebraic Geom. 1 (1992), no. 3, 429–448.
  • Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi (1992). "Rational connectedness and boundedness of Fano manifolds". Journal of Differential Geometry. 36 (3). doi:10.4310/jdg/1214453188. S2CID 118102421.
  • Kollár, János; Mori, Shigefumi (1992). "Classification of three-dimensional flips". Journal of the American Mathematical Society. 5 (3): 533–703. doi:10.1090/S0894-0347-1992-1149195-9. JSTOR 2152704.
  • Keel, Sean; Mori, Shigefumi (1997). "Quotients by Groupoids". Annals of Mathematics. 145 (1): 193–213. doi:10.2307/2951828. JSTOR 2951828. S2CID 17830187.
  • Kollár, János; Mori, Shigefumi. Birational geometry of algebraic varieties. With the collaboration of C. H. Clemens and A. Corti. Translated from the 1998 Japanese original. Cambridge Tracts in Mathematics, 134. Cambridge University Press, Cambridge, 1998. viii+254 pp. ISBN 0-521-63277-3

See also[edit]

References[edit]

  1. ^ Shigefumi Mori at the Mathematics Genealogy Project
  2. ^ "Kyoto University professor elected head of International Mathematical Union". The Japan Times Online. 2014-08-12.
  3. ^ "長嶋茂雄さんら9人文化勲章 功労者に加山雄三さんら". Jiji.com. Retrieved October 26, 2021.

External links[edit]

Retrieved from "https://en.wikipedia.org/w/index.php?title=Shigefumi_Mori&oldid=1212128999"