Mori, Shigefumi(Institute for Advanced Study) | Activity Database on Education and Research, Kyoto University

Mori, Shigefumi

Institute for Advanced Study Program-Specific Professor

Last Updated :2025/06/20

Basic Information

Professional Memberships

National Academy of Sciences

Russian Academy of Sciences

American Academy of Arts and Sciences

The Mathematical Society of Japan

Academic Degree

Master of Science(Kyoto University)

Doctor of Science(Kyoto University)

Academic Resume (Graduate Schools)

Kyoto University, Graduate School of Science, Mathematics, 修了

Academic Resume (Undergraduate School/Majors)

Kyoto University, Faculty of Science, Mathematics, 卒業

High School

High School
Tokai high school

Language of Instruction

English

ID,URL

ORCID ID
0000-0002-3225-1854
J-Global ID
201401074715079978

researchmap URL

https://researchmap.jp/7000008378

Last Updated :2025/06/20

Research

Research Topics, Overview of the research

Research Topics
Algebraic Geometry
Overview of the research
Figures called algebraic varieties are the subjects of algebraic geometry. Rather than directly treat the variety, we birationally transform the original figures into models with locally mild singularities and globally nice properties in order to study the original figures. The varieties obtained after all are either Minimal Models or models with Fano fiberstructures. The process is well understood in dimension 2 or less, and I am studying the case of dimension 3.

Research Interests

minimal model

terminal singularity

extremal contraction

Fano variety

extremal ray

Research Areas

Natural sciences, Algebra

Papers

General elephants for threefold extremal contractions with one-dimensional fibres: exceptional case
S. Mori; Yu. G. Prokhorov
Sbornik: Mathematics, 01 Mar. 2021, Peer-reviewed

Threefold extremal curve germs with one non-Gorenstein point
S. Mori; Y. Prokhorov
Izvestija: Mathematics, 2019, Peer-reviewed, Invited

Threefold Extremal Contractions of Types (IIA). Part II, in "Geometry and Physics: Volume II, in honour of Nigel Hitchin"
S. Mori; Y. Prokhorov
Oxford Univ. Press, 2018, Peer-reviewed, Invited

対談：森理論について
藤野修; 森重文
数学, 2017, Peer-reviewed, Invited

Threefold extremal contractions of type (IIA). I
S. Mori; Yu. G. Prokhorov
IZVESTIYA MATHEMATICS, 2016, Peer-reviewed, Invited

3-FOLD EXTREMAL CONTRACTIONS OF TYPES (IC) AND (IIB)
Shigefumi Mori; Yuri Prokhorov
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, Feb. 2014, Peer-reviewed

Threefold extremal contractions of type (IA)
Shigefumi Mori; Yuri Prokhorov
Kyoto Journal of Mathematics, Jun. 2011, Peer-reviewed

On Q-Conic Bundles, III To the memory of the late Professor Masayoshi Nagata
Shigefumi Mori; Yuri Prokhorov
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, Aug. 2009, Peer-reviewed

Multiple fibers of del Pezzo fibrations
Shigefumi Mori; Yuri Prokhorov
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, Apr. 2009, Peer-reviewed

On Q-conic bundles, II
Shigefumi Mori; Yuri Prokhorov
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, Aug. 2008, Peer-reviewed

On Q-conic bundles
Shigefumi Mori; Yuri Prokhorov
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, May 2008, Peer-reviewed

Errata to "classification of three-dimensional flips"
Shigefumi Mori
Journal of the American Mathematical Society, Jan. 2007, Peer-reviewed

Bounding singular surfaces of general type
Alexeev, V; S Mori
ALGEBRA, ARITHMETIC AND GEOMETRY WITH APPLICATIONS, 2004, Invited

Extremal rays and Fano 3-folds, in "The Fano Conference 2002,"
S. Mori; S. Mukai
Univ. Torino, Turin, 2004, Peer-reviewed, Invited

Fano threefolds with wild conic bundle structures
S Mori; N Saito
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, Jun. 2003, Peer-reviewed

Classification of Fano 3-folds with B-2 >= 2 (vol 36, pg 147, 1981)
S Mori; S Mukai
MANUSCRIPTA MATHEMATICA, Mar. 2003, Peer-reviewed

On semistable extremal neighborhoods
S. Mori
Adv. Stud. in Pure Math., 2002, Peer-reviewed, Invited

On a hyperplanesection theorem of Gurjar
S. Mori
Math. Ann., 2001, Peer-reviewed

A canonical bundle formula
O Fujino; S Mori
JOURNAL OF DIFFERENTIAL GEOMETRY, Sep. 2000, Peer-reviewed

Boundedness of canonical Q-Fano 3-folds
J Kollar; Y Miyaoka; S Mori; H Takagi
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, May 2000, Peer-reviewed

Rational curves on algebraic varieties, in "Mathematics: Frontier and Perspectives"
S. Mori
Amer. Math. Soc. Providence, RI, 2000, Invited

双有理幾何学 (協力 C. H. Cleens, A. Corti)
J. Kollar; 森重文
岩波講座現代数学の展開, 1998, Peer-reviewed, Invited

Birational Geometry of algebraic varieties (With the collaboration of C. H. Clemens and A. Corti, Translated from the 1998 Japanese original)
J. Kollar; S. Mori
Cambridge Tracts in Mathematics, 1998, Peer-reviewed

Quotients by groupoids
S Keel; S Mori
ANNALS OF MATHEMATICS, Jan. 1997, Peer-reviewed

RATIONAL CONNECTEDNESS AND BOUNDEDNESS OF FANO MANIFOLDS
J KOLLAR; Y MIYAOKA; S MORI
JOURNAL OF DIFFERENTIAL GEOMETRY, Nov. 1992, Peer-reviewed

RATIONAL CURVES ON FANO VARIETIES
J KOLLAR; Y MIYAOKA; S MORI
LECTURE NOTES IN MATHEMATICS, 1992, Peer-reviewed

RATIONAL CURVES ON FANO VARIETIES
J KOLLAR; Y MIYAOKA; S MORI
CLASSIFICATION OF IRREGULAR VARIETIES, 1992, Peer-reviewed, Invited

Rationally connected varieties
J. Kollar; Y. Miyaoka; S. Mori
Journal of Alg. Geom., 1992, Peer-reviewed

Classification of three-dimensional flips
János Kollár; Shigefumi Mori
Journal of the American Mathematical Society, 1992, Peer-reviewed

Birational classification of algebraic threefolds
S. Mori
Proc. ICM90 Kyoto, Springer Verlag, 1991, Peer-reviewed, Invited

Birational Classification of algebraic 3-folds in "Algebraic analysis, geometry, and number theory (Baltimore, MD, 1988)"
S. Mori
Johns Hopkins Univ. Press, Baltimore, 1989, Peer-reviewed, Invited

ON 4-DIMENSIONAL TERMINAL QUOTIENT SINGULARITIES
S MORI; DR MORRISON; MORRISON, I
MATHEMATICS OF COMPUTATION, Oct. 1988, Peer-reviewed

Flip theorem and the existence of minimal models for 3-folds
Shigefumi Mori
Journal of the American Mathematical Society, 1988, Peer-reviewed

HIGHER DIMENSIONAL COMPLEX-GEOMETRY
H CLEMENS; J KOLLAR; S MORI
ASTERISQUE, 1988, Peer-reviewed

Hartshorne conjecture and extremal ray (English traslation)
S. Mori
Sugaku Expositions, 1988, Invited

CLASSIFICATION OF HIGHER-DIMENSIONAL VARIETIES
S MORI
PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS, 1987, Peer-reviewed, Invited

A numerical criterion of uniruledness
Y. Miyaoka; S. Mori
Ann. of Math. (2), 1986, Peer-reviewed

ON 3-DIMENSIONAL TERMINAL SINGULARITIES
S MORI
NAGOYA MATHEMATICAL JOURNAL, 1985, Peer-reviewed

Classification of Fano 3-folds with B_2 >= 2, I
S. Mori; S. Mukai
Algebraic and Topological Theories - to the memory of Dr. Takehiko MIYATA, 1985, Peer-reviewed

ON DEGREES AND GENERA OF CURVES ON SMOOTH QUARTIC SURFACES IN P3
S MORI
NAGOYA MATHEMATICAL JOURNAL, 1984, Peer-reviewed

Cone of curves, and Fano 3-folds
S. Mori
Proc. ICM Warsaw 1983, 1984, Peer-reviewed, Invited

On Fano 3-folds with B_2 >= 2
S. Mori; S. Mukai
Advanced Studies in Pure Math., 1983, Peer-reviewed, Invited

Hartshorne 予想と extremal ray
S. Mori
Sugaku, 1983, Peer-reviewed, Invited

THREEFOLDS WHOSE CANONICAL BUNDLES ARE NOT NUMERICALLY EFFECTIVE
S MORI
ANNALS OF MATHEMATICS, 1982, Peer-reviewed

Threefolds whose canonical bundles are not numerically effective, in "Algebraic threefolds (Varenna, 1981)"
S. Mori
Springer Lecture Notes in Math., 1982, Peer-reviewed, Invited

The uniruledness of the moduli of curves of genus 11
S. Mori; S. Mukai
Springer Lect. Notes. in Math., 1982, Peer-reviewed, Invited

CLASSIFICATION OF FANO 3-FOLDS WITH B2 GREATER-THAN-OR-EQUAL TO 2
S MORI; S MUKAI
MANUSCRIPTA MATHEMATICA, 1981, Peer-reviewed

Classification of Fano 3-folds with B_2 >= 2; Erratum 110 (2003) 407
S. Mori; S. Mukai
Manuscripta Math., 1981, Peer-reviewed

THREEFOLDS WHOSE CANONICAL BUNDLES ARE NOT NUMERICALLY EFFECTIVE
S MORI
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA-PHYSICAL SCIENCES, 1980, Peer-reviewed

Projective manifolds with ample tangent bundles
S. Mori
Ann. Math. (2), 1979, Peer-reviewed

On Tate conjecture on endomorphisms of abelian varieties
S. Mori
Intl. Symp. on Alg. Geom., Kyoto 1977, Kinokuniya, 1978, Peer-reviewed

On Hartshone's conjecture
S. Mori; H.Sumihiro
J. Math. Kyoto Univ., 1978, Peer-reviewed

The endomorphism rings of some abelian varieties II
S. Mori
Japanese J. Math., New Series, 1977, Peer-reviewed

Graded factorial domains
S. Mori
Japanese J. Math., New Series, 1977, Peer-reviewed

The endomorphism rings of some abelian variieties
S. Mori
Japanese J. Math., New Series, 1976, Peer-reviewed

On a generalization of complete intersections
S. Mori
J. Math. Kyoto Univ., 1975, Peer-reviewed

On affine cones associated with polarized varieties
S. Mori
Japanese J. Math., New Series, 1975, Peer-reviewed

A^2 の rational ruled surfaces への埋め込みについて
森重文
数理解析研究所講究録, 1973, Peer-reviewed

Misc.

Preface
Masaki Kashiwara; Shigefumi Mori; Shigeru Mukai; Kyoji Saito; Yum-Tong Siu; Bernard Teissier; Stephen S. -T. Yau
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, May 2008

Presentations

Rational Curves on Algebraic Varieties - extremal rays and MMP -
Shigefumi Mori
Conference in memory of Andrei Nikolaevich Tjurin, 28 Oct. 2020, Invited

On the classification of algebraic varieties
Shigefumi Mori
Colloquium, TIFR, Mumbai, 09 Dec. 2019, Invited

Extremal contractions of 3-folds with fiber dimension 1
Shigefumi Mori
城崎シンポジウム, 24 Oct. 2019, Invited

Rational curves on algebraic varieties
Shigefumi Mori
日本数学会小平邦彦賞記念講演会, 21 Sep. 2019, Invited

Around extremal rays and classificaiton of Fano 3-folds: personal recollections
森重文
向井茂教授退職記念研究集会, 13 Mar. 2019, 京都大学数理解析研究所, Invited

Birational classification of algebraic varieties
森重文
ICTP Colloquia 2018, 30 Nov. 2018, International Centre for Theoretical Physics (ICTP), Invited

Birational classification of algebraic varieties
森重文
Leonardo da Vinci lecture, 26 Nov. 2018, ミラノ大学数学教室, Invited

On the classification of algebraic varieties
森重文
Symposium Colloquium in honor of Prof. John Ball, 18 May 2018, Math Institute, Oxford University, Invited

On the classification of algebraic varieties
森重文
Kavli IPMU談話会, 11 Dec. 2017, 東京大学IPMU, Invited

On the classification of algebraic varieties
森重文
75 Years of Mathematics in Mexico, 05 Dec. 2017, Instituto de Matemáticas of the National University of Mexico (UNAM), Invited

On the classification of algebraic varieties
森重文
数学研究所講演会, 17 Nov. 2017, ベトナム科学技術アカデミー数学研究所, Invited

Extremal contractions of dimension three with fiber dimension 1
森重文
SIMONS CONFERENCE IN MATHEMATICS AND PHYSICAL SCIENCES (BIRATIONAL GEOMETRY), 22 Aug. 2017, サイモンズ財団, Invited

On the classification of algebraic varieties
森重文
数学談話会, 14 Jul. 2017, Warwick University, Invited

代数多様体の分類について
森重文
日本学士院談話, 12 May 2017, 日本学士院, Invited

On the classification of algebraic varieties
森重文
談話会, 03 Apr. 2017, University o Sussex, Invited

代数多様体の分類について
森重文
理化学研究所講演会「数理と自然のハーモニー」, 18 Nov. 2016, 理化学研究所, Invited

Rational curves on algebraic varieties
森重文
大韓数学会70周年記念コンファレンス, 21 Oct. 2016, Seoul National University, Invited

Rational curves on algebraic varieties
森重文
日本数学会秋季総合分科会, 16 Sep. 2016, 関西大学, Invited

Rational curves on algebraic varieties
森重文
Hitchin 70 Conference, 10 Sep. 2016, Math Institute, Oxford University, Invited

Rational Curves on Algebraic Varieties
森重文
Benjamin Peirce Centennial Conference, 10 Jun. 2016, Harvard University, Invited

代数幾何に魅せられて
森重文
最終講義, 11 Mar. 2016, 京都大学数理解析研究所

Rational Curves on Algebraic Varieties - extremal rays and MMP
森重文
12th Congress of the Chinese Mathematical Society, 22 Nov. 2015, Capital Normal University, Beijing, Invited

Rational Curves on Algebraic Varieties - extremal rays and MMP
森重文
20th Brazilian Mathematics Colloquium, 29 Jul. 2015, National Institute of Pure and Applied Mathematics, Invited

Rational Curves on Algebraic Varieties - extremal rays and MMP
森重文
The symposium on geometry at Univ. of Macau, 29 May 2015, Univ. of Macau, Invited

代数多様体の有理曲線についてー極小モデルと端射線ー
森重文
早稲田大学数学・応用数理談話会, 09 Apr. 2015, 早稲田大学, Invited

Extremal rays and the explicit minimal model program in dimension three
森重文
台湾数学会年会, 06 Dec. 2014, 国立成功大学, Invited

Algebraic Geometry vs. Impressionism Painting
森重文
Heidelberg Laureate Forum, 25 Sep. 2014, Heidelberg Laureate Forum Foundation, Invited

数学誌出版の現状：将来に向けて
森重文
RIMS共同研究「数学誌出版の現状と将来の分析」, 26 Dec. 2012, 数理解析研究所, Invited

A personal review on extremal rays and related results
森重文
Joint Colloquium, 25 Aug. 2011, 国立台湾大学, Invited

Three dimensional Q-conic bundles and a personal review of extremal rays
森重文
森重文還暦記念講演会, 22 Jun. 2011, 京都大学数理解析研究所, Invited

Three dimensional Q-conic bundles and related topics
森重文
International conference “Birational Geometry”, 08 Dec. 2010, International Centre for Mathematical Sciences, Edinburgh, Invited

Three dimensional Q-conic bundles and related topics
森重文
International workshop "Workshop on Moduli and Birational Geometry", 05 Aug. 2010, Pohang University of Science and Technology, Invited

Three dimensional Q-conic bundles and related topics
森重文
Miniconference on MMP and RC, 21 May 2010, Princeton University, Invited

Three dimensional Q-conic bundles and related topics
森重文
Comples Geometry 2010 (Mabuchi 60), 20 Mar. 2010, 大阪大学理学部, Invited

Three dimensional Q-conic bundles and related topics
森重文
GCOE若手数学者交流会, 22 Feb. 2010, 京都大学GCOE, Invited

On Q-conic bundles and threefold extremal contractions of type IA
森重文
Professor Miyaoka's sixtieth birthday celebration symposium "Invariants in Algebraic Geometry", 09 Nov. 2009, 東京大学数理科学研究科, Invited

On Q-conic bundles
森重文
International conference "Geometry of Algebraic Varieties" dedicated to the memory of Vasily Alexeevich Iskovskikh, 29 Jun. 2009, Steklov Mathematical Institute, Invited

Q-conic bundles and the General Elephant Conjecture
森重文
IAS/Park City 数学研究所夏期学校, 24 Jul. 2008, パークシティ, Invited

Q-conic bundles and the General Elephant Conjecture
森重文
60Miles conference, 16 Jul. 2008, University of College London, Invited

Q-conic bundles and the General Elephant Conjecture
森重文
Conference on Arithmetic and Algebraic geometry, 03 Jul. 2008, 東京大学数理科学研究科, Invited

Recent progress in Higher Dimensional Algebraic Geometry
森重文
クレイ数学研究所年会, 14 May 2007, クレイ数学研究所, Invited

幾つかの数学学術誌の電子ジャーナル化への対応
森重文
学術情報・電子ジャーナルシンポジウム, 16 Sep. 2004, 電子ジャーナルパネル, Invited

３次元フリップについて
森重文
談話会, 20 Oct. 1997, 名古屋大学多元数理科学研究科, Invited

３次元フリップについて
森重文
談話会, 17 Oct. 1997, 東京大学数理科学研究科, Invited

Quotients by groupoids
森重文
談話会, 18 Sep. 1995, 名古屋大学多元数理科学研究科, Invited

Quotients by groupoids
森重文
談話会, 16 Jun. 1995, 東京工業大学数学教室, Invited

代数曲線の幾何
森重文
数理解析研究所公開講座, 08 Aug. 1994, 京都大学数理解析研究所, Invited

Birational classification of algebraic threefolds
S. Mori
International Congress of Mathematicians, Aug. 1990, International Mathematical Union, Invited

Cones of curves, and Fano 3-folds
S. Mori
International Congress of Mathematicians, Aug. 1983, International Mathematical Union, Invited

Books and Other Publications

Birational geometry of algebraic varieties: Open problems
ed. S. Mori; J. Koll\'ar; Y. Miyaoka; S. Mukai
Proc. the 23rd international Taniguchi symposium, Aug. 1988, Not refereed

Awards

01 Jul. 2025
Basic Science Lifetime Award

28 Aug. 2024
ロンドン数学会名誉会員

05 Apr. 2023
Turin National Academy of Sciences, Foreign Membere, Turin National Academy of Sciences
Italy, International academic award
Shigefumi Mori

Apr. 1983
The Mathematical Society of Japan, Iyanaga Prize

May 1984
Chunichi Newspaper, Chunichi Cultural Prize

Oct. 1988
The Mathematical Society of Japan, Autumn Prize

Feb. 1989
Inoue Foundation for Science, Inoue Prize for Science

Jan. 1990
American Mathematical Society, Frank Nelson Cole Prize

Jun. 1990
Japan Academy, Japan Academy Prize

Aug. 1990
International Mathematical Union, Fields Medal

Nov. 1990
Ministry of Education, Culture, Sports, Science and Technology, Person of Cultural Merits

Apr. 1992
American Academy of Arts and Sciences, Foreign Honorary Member, American Academy of Arts and Sciences

Dec. 1998
Japan Academy, Member, the Japan Academy

Oct. 2002
University of Torino, Laurea Honoris Causa, University of Torino

Jun. 2004
The Fujihara Foundation of Science, Fujihara Award

Jul. 2010
Nagoya University, University Professor, Nagoya University

Oct. 2016
Russian Academy of Sciences, Foreign Member, Russian Academy of Sciences

May 2017
National Academy of Sciences, U.S.A., Foreign Associate, National Academy of Sciences, U.S.A.

Jul. 2017
Warwick University, Honorary Degree, Warwick University

Nov. 2018
Tokai Television Broadcasting, Cultural Prize of Tokai Television Broadcasting

Sep. 2019
Mathematical Society of Japan, Kodaira Kunihiko Prize

Feb. 2020
Kyoto Prefecture, Kyoto Prefecture Cultural Award, Special Achievement Award

03 Nov. 2021
Japanese Government, Order of Culture
Shigefumi Mori

External funds: Kakenhi

Various problems related to the classification in higher dimensional birational geometry
Grant-in-Aid for Scientific Research (B)
Kyoto University
Shigefumi Mori
From 01 Apr. 2013, To 31 Mar. 2018, Project Closed
Qコニック束;因子収縮射;フリップ収縮射;反標準線形系;Du Val特異点;端末特異点;Qデルペゾ束;極小モデルプログラム;端収縮射;フリップ;ファノ多様体
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-25287005/

Developments in Interactions between Algebraic Geometry and Integrable Systems
Grant-in-Aid for Scientific Research (S)
Kobe University
Masa-Hiko Saito
From 31 May 2012, To 31 Mar. 2017, Project Closed
可積分系;パンルヴェ方程式;相空間;モジュライ空間;モノドロミー保存変形;量子コホモロジーとミラー対称性;リーマン・ヒルベルト対応;Floer 理論;パンルヴェ型方程式;混合ツイスターD加群;Floer理論;量子コホモロジーとミラー対称性;Bridgeland安定性;モジュライ理論;国際研究者交流（フランス、ハンガリー）;国際情報交換;国際研究者交流
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-24224001/

Moduli theoretic study of Fano varieties and Enriques surfaces
Grant-in-Aid for Scientific Research (B)
Kyoto University
Shigeru MUKAI
From 01 Apr. 2010, To 31 Mar. 2013, Project Closed
代数幾何学;Enriques曲面;K3曲面;モジュライ空間;Torelli定理;ルート系;Mathieu群;アーベル曲面;モジュライ;Torelli型定理;保型形式;井草4次超曲面
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22340007/

Various problems related to the classification in higher dimensional birational geometry
Grant-in-Aid for Scientific Research (B)
Kyoto University
Shigefumi MORI
From 01 Apr. 2008, To 31 Mar. 2013, Project Closed
Q コニック束;因子収縮射;フリップ収縮射;反標準線形系;Du Val 特異点;端末特異点;特異点解消;極小モデルプログラム;Qコニック束;一般象予想;Du Val特異点;端収縮射;Qデルペゾ束;デュバル特異点;Qファノ多様体;特異ファイバー;アルゴリズム
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20340005/

Theory of log mixed Hodge structures and its applications to geometry
Grant-in-Aid for Scientific Research (B)
Osaka University
Sampei USUI
From 01 Apr. 2007, To 31 Mar. 2011, Project Closed
ホッジ理論;モジュライ;混合対数的ホッジ構造;混合版SL(2)軌道;混合版ボレル・セールコンパクト化;カラビ・ヤウ多様体;トレリ定理;ネロンモデル;対数的混合ホッジ構造;混合版冪零軌道の空間;対数的中間ヤコビ多様体;混合版SL(2)-軌道の空間;角付多様体;2次元特異点;非クーラー曲面;混合対数ホッジ構造;一般大域的トレリ定理;対数的ネロンモデル;分類空間;混合版SU(2)-軌道の空間;退化;ツイスター空間;対数的ホッジ構造の分類空間;混合版SL(2)軌道定理;混合版ボレル・セールコンパクト化;一般大域的トレッリ定理;対数的ピカール多様体;対数的局所系の高次準像;曲面上の非零有効因子;log Hodge構造の分類空間;混合log Hodge構造;log周期写像;一般型多様体;Calabi-You多様体;大域的Torelli定理
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19340008/

New developments and interaction between Algebraic Geometry and Integrable Systems
Grant-in-Aid for Scientific Research (S)
Kobe University
Masa-hiko SAITO;Masahiko SAITO
From 01 Apr. 2007, To 31 Mar. 2012, Project Closed
可積分系;パンルヴェ方程式;相空間;モジュライ空間;量子コホモロジーとミラー対称性;極小モデル理論;高次元代数多様体;モノドロミー保存変形;複素力学系;ミラー対称性
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19104002/

Fano varieties and moduli spaces with emphasis on the Verlinde Formula and the 14^ problem of Hilbert
Grant-in-Aid for Scientific Research (B)
Kyoto University
Shigeru MUKAI
From 01 Apr. 2005, To 31 Mar. 2009, Project Closed
代数幾何学;ヒルベルトの第14問題;quiver;フェアリンデ公式;ヒルベルト概型;エンリケス曲面;ファノ多様体;モジュライ;代数的ベクトル束;高次元双有理幾何学;Verlinde公式;代数曲面;K3曲面;Enriques曲面;Hilbert概型;Brill-Noether理論;Hom概型;レベル階数双対性;Kummer曲面;Hilbertの第14問題
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17340006/

Various Problems on the Classification in Higher Dimensional Birational Geometry
Grant-in-Aid for Scientific Research (B)
Kyoto University
Shigefumi MORI
From 01 Apr. 2004, To 31 Mar. 2008, Project Closed
Qコニック束;K3曲面;端末特異点;因子収縮射;フロップ;複素シンプレクティック多様体;ファノ多様体;極小モデル理論;端射線;del Pezzo曲面;逆同伴;乗数イデアル;ポアソン変形;モジュライ空間;シンプレクテイック特異点;変形;対数的標準特異点;b関数;フリップ;標準特異点;general elephant予想;因子収縮写像;導来圏;Fano多様体;Zariski分解;Chow群, Q-conic bundle;K3 surface;Terminal singularity;divisorial contraction;flop;complex symplectic variety;Fano variety;minimal model theory
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16340004/

Study of algebraic varieties by log Hosge theory
Grant-in-Aid for Scientific Research (B)
Osaka University
Sampei USUI
From 01 Apr. 2003, To 31 Mar. 2007, Project Closed
log Hodge構造;分類空間のコンパクト化;周期写像;一般型多様体;混合型SL(2)軌道定理;開完全交叉多様体;Jacobi環;Beilinson型Hodge予想;(混合)対数ホッジ構造;モジュライ空間;対数中間ヤコビ多様体;コンパクト化;安定擬アーベル多様体;ベイリンソン・ホッジ予想;モーデル・ヴェイユ格子;共形ケーラー構造;対数的(混合)ホッジ構造;対数的中間ヤコビ多様体;対数的周期写像;対数的アーベル・ヤコビ写像;ヤコビ環;Bloch予想の対数版;Green予想;国際研究者交流;log Hodge構造のfine moduli;log manifold;minimal model;Bloch-Ogus-Kato complex;リーマン面の退化;ガロワ点;ツイスター空間;Frobenius多様体, Log Hodge structure;Compactification of classifying space;period map;varieties of general typem;mixed version of SL(2)-orbit theore;open complete intersection;Jacobian ring;Beilinson's Hodge conjecture
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15340009/

Arithmetic of Algebraic Varieties and their Moduli Spaces
Grant-in-Aid for Scientific Research (A)
The University of Tokyo
Toshiyuki KATSURA
From 01 Apr. 2003, To 31 Mar. 2007, Project Closed
カラビ・ヤウ多様体;K3曲面;楕円曲面;アーベル多様体;モジュライ空間;モーテル・ヴェイユ格子;ハイト;イリュージー層;準楕円曲面;擬射影平面;リジッド幾何;モーデル・ヴェイユ格子;代数多様体;数論幾何;代数幾何;ピカール数;アルチン予想;符号;アルチン・メイザー形式群;中間ヤコビ多様体;フェルマー多様体, Calabi-Yau manifold;K3 surface;elliptic surface;Abelian varietv;moduli space;Mordell-Weil group;height;Illusie sheaf
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15204001/

Degeneration of algebraic varieties and log geometry
Grant-in-Aid for Scientific Research (B)
KYOTO UNIVERSITY
Kazuya KATO
From 01 Apr. 2002, To 31 Mar. 2004, Project Closed
Hodge構造;分類空間;SL(2)軌道;対数幾何;対数的アーベル多様体;分岐理論;L関数;岩澤理論;アーベル多様体;複素トーラス;玉河数;スキーム;分岐;退化;導手;Rimemann-Roch;l進層;nilpotent orbit, Hodge structure;Clarifying space;SL(2)-orbit;Log geometry;log abelian variety;ramificaiton theory;L-function;Iwasawa theory
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-14340010/

The flag variety of elliptic Lie algebra and elliptic primitive automorphic forms
Grant-in-Aid for Scientific Research (B)
Kyoto University
Kyoji SAITO
From 01 Apr. 2001, To 31 Mar. 2004, Project Closed
楕円ルート系;ブレイド群;原子形式;平坦構造;semi-algebraic geometry;鏡映群;楕円リー環;highest weight表現;エータ関数;原始形式;楕円Lie環;拡大ハイパボリックルート系;最高ウエイト表現;ブロック代数;周期積分;フロベニウス多様体;無限次元リー環;周期写像;拡大アフィン・ルート系;Bruhat分解;Peter-Weyl定理, elliptic root system;braid group;primitive form;flat structure;semi-algebraic geometry;reflection group;elliptic Lie algebra
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13440021/

Complex symplectic manifolds and related topics
Grant-in-Aid for Scientific Research (B)
The University of Tokyo;Kyoto University
Yoichi MIYAOKA
From 01 Apr. 2000, To 31 Mar. 2003, Project Closed
複素シンプレクティック;双有理射;ファイバー構造;射影空間;二次超曲面;三次元ファノ多様体;複素シンプレクティック多様体;高次元多様体;正則写像;変形同値類;有利曲線族;ファノ多様体;2次超曲面;双有理写像;完全可積分ハミルトン系;大域剛性;モディライ空間;複素トーラス;Q-ファノ多様体, complex symplectic;birational morphism;fiber space structure;projective space;hyperquadrics;Fano 3-folds
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-12440006/

Classification problems in Higher Dimensional Birational Geometry
Grant-in-Aid for Scientific Research (B)
KYOTO UNIVERSITY
Shigefumi MORI
From 01 Apr. 2000, To 31 Mar. 2004, Project Closed
flip;flop;Fano 3-fold;canonical divisor;symplectic variety;extremal neighborhood;elliptic structure;terminal singularity;symplectic singularity;invariants;monodromy;derived category;K3 surface;complex symplectic structure;Painleve equation;Calabi-Yau threefold;deformation theory;cononical bundle;Calabi-Yau 3-fold;Gorenstein singularity;eliptic surface;端末特異点;端射線;Fano多様体;シンプレクティック多様体;フリップ;Painleve微分方程式;ケーラー錐;K3曲面, flip;flop;Fano 3-fold;canonical divisor;symplectic variety;extremal neighborhood;elliptic structure;terminal singularity
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-12440005/

Research on Interactions of Algebraic Geometry, Hodge Theory and Logarithmic Geometry
Grant-in-Aid for Scientific Research (A)
Osaka University
Sampei USUI
From 01 Apr. 1999, To 31 Mar. 2002, Project Closed
対数的Hodge構造;モジュライのコンパクト化;不変式;Torelli問題;代数多様体;標準環;ベクトル束;シンプレクティック多様体;標準束公式;2次包;特異シンプレクティック多様体;Log Hodge構造;退化;周期写像;一般型多様体;symplectic多様体;有理端曲線, Logarithmic Hodge Theory;Compactifications of Moduli;Invariant Functions;Torelli Problem;Algebraic Varieties;Canonical Rings;Vector Bundles;Symplectic Varieties
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-11304001/

Primitive Forms and Period Maps
Grant-in-Aid for Scientific Research (B)
KYOTO UNIVERSITY
Kyoji SAITO
From 01 Apr. 1997, To 31 Mar. 2000, Project Closed
原始形式;weight系;楕円ルート系;楕円特異点;楕円ワイル群;楕円リー環;楕円L-函数;平坦構造;平坦座標;楕円アルティン群;原始保型形式;エータ積;Weight系, primitive forms;period maps;elliptic singularities;elliptic root systems;elliptic Lie algebra;elliptic L-functions;regular systems of weights;flat structure
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09440031/

Various problems related to classifications around the higher dimensional birational geometry
Grant-in-Aid for Scientific Research (B)
Kyoto University
Shigefumi MORI
From 01 Apr. 1997, To 31 Mar. 2000, Project Closed
極小モデル;アバンダンス予想;ミラー予想;K3曲面;カラビーヤウ多様体;アーベル多様体;B-モデル;端末特異点;モーデル・ヴェイユ格子;アパンダンス予想;A-モデル;Chern数;極小モデル理論;flip;Mirror対称;Calabi-Yau多様体;Hilbert scheme;special Lagrangian, minimal model;abundance conjecture;mirror conjecture;K3 surface;Calabi-Yau manifold;Abelian variety;B-model;terminal singularity
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09440010/

Synthetic research of algebraic geometry with an expectation of wide applications
Grant-in-Aid for Scientific Research (A)
TOHOKU UNIVERSITY
Masanori ISHIDA
From 01 Apr. 1997, To 31 Mar. 2000, Project Closed
代数幾何学;代数多様体;トーリック多様体;可換環;計算幾何;アーベル多様体;モジュライ空間;組合せ論;モーデルベイユ格子;カラビヤウ多様体;グレーブナー基底;アインシュタイン計量, Algebraic geometry;Algebraic variety;Toric variety;Commutative algebra;Computational geometry;Abelian variety
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09304001/

高次元代数多様体の双正則幾何
Grant-in-Aid for Scientific Research (C)
Kyoto University
宮岡洋一
From 01 Apr. 1996, To 31 Mar. 1997, Project Closed
高次元代数多様;双正則幾何;ベクトル束;多様体上の曲線;Lang予想;極小モデル;平坦座標;飯高予想
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08640029/

Algebraic analysis of infinite symmetry
Grant-in-Aid for Scientific Research (B)
KYOTO UNIVERSITY
Masaki KASHIWARA
From 01 Apr. 1996, To 31 Mar. 1997, Project Closed
代数解析;無限対称性;可解模型;量子群;結晶基底;相関函数, algebraic analysis;infinite symmetry;solvable model;quantum group;crystal base;correlation function
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08454006/

Algebraic Geometry and Hodge Theory
Grant-in-Aid for Scientific Research (B)
Osaka University
Sampei USUI
From 01 Apr. 1996, To 31 Mar. 1999, Project Closed
Hodge理論;Log幾何学;代数多様体;多重標準形式;K_3曲面;標準曲線;Lalabi-Yau多様体;Morse化問題;Hodge 理論;Log 幾何学;多重標準形成;K3曲面;calabi-yau多様体;Hodge構造の分類空間;部分コンパクト化;藤田の自由予想;Calabi-Yau多様体;Clifford指数;Reidのflip予想;小平エネルギー;abel多様体の普遍族;Log幾何とHodge構造の退化;単純特異点のMckay対応;藤田の自由性予想;Brill-Noether軌跡と偏極K3曲面;半安定層の分類空間;標準曲面のAlbanese写像;スペクトル・エータ写像;加群拡大の微分作用素による自明化, Hodge theory;Logarithmic geometry;Algebraic varieties;Pluri-canonical forms;K3 surfaces;Canonical curves;Calabi-Yau manifolds;Morsification
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08304002/

高次元代数多様体と共形場理論
Grant-in-Aid for international Scientific Research
Kyoto University
森重文
From 01 Apr. 1996, To 31 Mar. 1997, Project Closed
極小モデル;フリップ;Calabi-Yau多様体;ミラー対称;K3曲面;普遍被覆空間;D-brane;モジュライ空間;Calabi-Yan多様体
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08044078/

代数多様体の分類とその上の曲線(共形場理論)
Grant-in-Aid for General Scientific Research (B)
Kyoto University
森重文
From 01 Apr. 1995, To 31 Mar. 1996, Project Closed
curve;algebraic space;Teichmuler space;Euler number;elliptic fibration;terminal singularity;correlation function;XXZ model
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-07454016/

Orenall Study on Algebraic Varieties and its Applications
Grant-in-Aid for Scientific Research (A)
University of Tokyo
Toshiyuki KATSURA
From 01 Apr. 1995, To 31 Mar. 1997, Project Closed
代数幾何学;符号;モジュライ空間;Hamming符号;偏極;カラビ・ヤウ多様体;K3曲面;Mordell-Weil格子;正標数;多項式;p-進一意化;形式群;Golay符号;Hodge理論;特異点;ミラーシンメトリー;量子コホモロジー;共形場理論;P進一意化;群スキーム, algebraic geemetry;code;moduli space;Hamming code;polarigation;Calabi-Yau manifold;K3 surface;Mordell-Weil lattice
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-07304002/

代数多様体上の大城解析
Grant-in-Aid for General Scientific Research (B)
Kyoto University
宮岡洋一
From 01 Apr. 1994, To 31 Mar. 1995, Project Closed
有理曲線;Fano多様化;単有理性;極小モデル;コンパクト化;商特異点;実代数多様体;Galois群
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-06452007/

代数構造の表現と組み合わせ論
Grant-in-Aid for General Scientific Research (B)
Kyoto University
三輪哲二
From 01 Apr. 1993, To 31 Mar. 1994, Project Closed
積分表示;qKZ方程式;S行列;量子展開環;D加群;ハイゼンベルグ表示;量子重力;位相的場の理論
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-05452004/

モジュラー多様体と不連続群の整数論
Grant-in-Aid for General Scientific Research (C)
Kyoto University
織田孝幸
From 01 Apr. 1992, To 31 Mar. 1993, Project Closed
Whittaker model;mapping dass gronp;Teichniiller group;Braid group;moduli space
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-04640056/

Algebra and Geometry on Algebraic Varieties
Grant-in-Aid for Co-operative Research (A)
KYOTO UNIVERSITY
Masaki MARUYAMA
From 01 Apr. 1992, To 31 Mar. 1995, Project Closed
代数幾何学;代数多様体;代数多様体の分類;Kahler多様体;共形場理論;安定層;ベクトル束;モデュライ;代数多様体の変形;モデュライ理論;ホッジ理論;可換環論;算術的代数幾何学;代数様体;モジュライ;算術的代数多様体;Hodge-理論;放物束;特異点, Algebraic Geometry;Algebraic Variety;Classification of Algebraic Varieties;Kahler Manifold;Conformal Field Theory;Stable Sheaves;Vector Bundle;Moduli
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-04302003/

Higher Dimensional Algebraic Varieties
Grant-in-Aid for international Scientific Research
Kyoto University
Shigefumi MORI
From 01 Apr. 1992, To 31 Mar. 1994, Project Closed
極小モデル;フリップ;ファノ多様体;シャファレビッチ写像;ホッジ理論;カラビ・ヤオ多様体;ベクトル束;タイヒミューラー空間;極小モデル理論;基本群;フェルリンデ公式;射影空間, Minimal model;flip;Fano variety;Shafarevich map;Hodge theory;Calabi-Yau variety;vector bundle;Teichmueller space
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-04044081/

微分不変式とその応用に関する研究
Grant-in-Aid for General Scientific Research (C)
Nagoya University
森川寿
From 01 Apr. 1989, To 31 Mar. 1990, Project Closed
共形場の理論;非可換不変式;古典群の表現
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-01540034/

Algebraic Theory of Manifolds
Grant-in-Aid for Co-operative Research (A)
Osaka University
Masayoshi MIYANISHI
From 01 Apr. 1989, To 31 Mar. 1992, Project Closed
代数多様体;ベクトル束;CalabiーYan多様体;ホッジ理論;周期写像;可換環;特異点;CalabiーYou多様体;代数群;ア-ベル多様体;半群;代数曲面;3次元代数多様体;算術的代数多様体;Hodge(ホッヂ)理論;共形場理論, Algebraic Variety;Vector Bundle;Calabi-Yau Manifold;Hodge Theory;Period Mapping;Commutative Algebra;Singularity
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-01302001/

三次元多様体について
Grant-in-Aid for General Scientific Research (C)
Nagoya University
北岡良之
From 01 Apr. 1988, To 31 Mar. 1989, Project Closed
3次元代数多様体;フリップ;曲面の特異点
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-63540033/

Last Updated :2025/06/20

Education

Teaching subject(s)

From Apr. 2011, To Mar. 2012
Seminar on Algebraic Varieties A
Spring, 理学研究科

From Apr. 2011, To Mar. 2012
Seminar on Algebraic Varieties B
Fall, 理学研究科

From Apr. 2011, To Mar. 2012
Seminar on Algebraic Varieties C
Spring, 理学研究科

From Apr. 2011, To Mar. 2012
Seminar on Algebraic Varieties D
Fall, 理学研究科

From Apr. 2014, To Mar. 2015
Seminar on Algebraic Varieties A
Spring, 理学研究科

From Apr. 2014, To Mar. 2015
Seminar on Algebraic Varieties B
Fall, 理学研究科

From Apr. 2014, To Mar. 2015
Seminar on Algebraic Varieties C
Spring, 理学研究科

From Apr. 2014, To Mar. 2015
Seminar on Algebraic Varieties D
Fall, 理学研究科

From Apr. 2015, To Mar. 2016
Seminar on Algebraic Varieties A
Spring, 理学研究科

From Apr. 2015, To Mar. 2016
Seminar on Algebraic Varieties B
Fall, 理学研究科

From Apr. 2015, To Mar. 2016
Seminar on Algebraic Varieties C
Spring, 理学研究科

From Apr. 2015, To Mar. 2016
Seminar on Algebraic Varieties D
Fall, 理学研究科

From Apr. 2013, To Mar. 2014
Seminar on Algebraic Varieties A
Spring, 理学研究科

From Apr. 2013, To Mar. 2014
Seminar on Algebraic Varieties B
Fall, 理学研究科

From Apr. 2013, To Mar. 2014
Seminar on Algebraic Varieties C
Spring, 理学研究科

From Apr. 2013, To Mar. 2014
Seminar on Algebraic Varieties D
Fall, 理学研究科

From Apr. 2012, To Mar. 2013
Seminar on Algebraic Varieties A
Spring, 理学研究科

From Apr. 2012, To Mar. 2013
Seminar on Algebraic Varieties B
Fall, 理学研究科

From Apr. 2012, To Mar. 2013
Seminar on Algebraic Varieties C
Spring, 理学研究科

From Apr. 2012, To Mar. 2013
Seminar on Algebraic Varieties D
Fall, 理学研究科

Student achievements: Awards

Mathematical Society of Japan, Spring Prize
Kento Fujita, Mathematical Society of Japan, Mar. 2024

JSPS Prize
Kento Fujita, Japan Society for the Promotion of Science, Feb. 2024

Osaka Science Prize
Osamu Fujino, Osaka Prefecture, Osaka City, and Osaka Science and Technology Center, 11 Nov. 2023

Mathematical Society of Japan, Geometry Prize
Kento Fujita, Mathematical Society of Japan, 21 Sep. 2023

Last Updated :2025/06/20

Administration

School management (title, position)

From 01 Apr. 2025, To 31 Mar. 2027
部局長会議構成員

From 01 Apr. 2025, To 31 Mar. 2027
全学情報セキュリティ委員会委員

From 01 Apr. 2025, To 31 Mar. 2027
高等研究院　研究院長

From 01 Apr. 2023, To 31 Mar. 2025
全学情報セキュリティ委員会委員

From 01 Apr. 2011, To 31 Mar. 2014
全学情報セキュリティ委員会委員

From 01 Apr. 2011, To 31 Mar. 2014
大学評価委員会委員

From 01 Apr. 2013, To 31 Mar. 2014
教育研究組織改革専門委員会（第4部会）委員

From 01 Apr. 2011, To 31 Mar. 2014
全学情報セキュリティ委員会委員

From 01 Apr. 2011, To 31 Mar. 2014
大学評価委員会委員

From 01 Apr. 2011, To 31 Mar. 2014
教育研究評議会評議員

From 01 Apr. 2011, To 31 Mar. 2014
部局長会議

From 02 Jul. 2012, To 31 Mar. 2014
教育研究組織改革専門委員会委員

From 01 Apr. 2016, To 31 Mar. 2020
高等研究院長

From 01 Apr. 2016, To 31 Mar. 2018
京都大学研究公正委員会委員

From 01 Apr. 2016, To 31 Mar. 2018
全学情報セキュリティ委員会委員

From 01 Apr. 2011, To 31 Mar. 2014
数理解析研究所長

From 01 Apr. 2013, To 31 Mar. 2014
部局長会議

From 01 Apr. 2016, To 31 Mar. 2020
部局長会議

From 01 Apr. 2016
研究公正委員会委員

From 01 Apr. 2018, To 31 Mar. 2020
全学情報セキュリティ委員会委員

From 01 Apr. 2016, To 31 Mar. 2018
研究公正委員会委員

From 01 Apr. 2016, To 31 Mar. 2021
高等研究院院長

From 01 Apr. 2016, To 31 Mar. 2021
部局長会議

From 01 Apr. 2020, To 31 Mar. 2021
全学情報セキュリティ委員会委員

From 01 Apr. 2020, To 31 Mar. 2023
全学情報セキュリティ委員会委員

From 01 Apr. 2021, To 31 Mar. 2023
高等研究院院長

From 01 Apr. 2021, To 31 Mar. 2023
部局長会議

From 01 Apr. 2023, To 31 Mar. 2025
高等研究院院長

From 01 Apr. 2024, To 31 Dec. 2024
学術研究展開センター運営協議会委員

From 01 Apr. 2025, To 31 Mar. 2027
高等研究院院長

Faculty management (title, position)

From 01 Sep. 2017, To 31 Aug. 2019
数理解析研究所　運営委員会委員

From 01 Sep. 2019, To 31 Aug. 2021
数理解析研究所　運営委員会委員

From 01 Sep. 2021, To 31 Mar. 2023
数理解析研究所　運営委員会委員

From 01 Apr. 2023, To 31 Aug. 2023
数理解析研究所　運営委員会委員

From 01 Sep. 2023, To 31 Aug. 2025
数理解析研究所　運営委員会委員

From 01 Apr. 2024, To 31 Mar. 2025
高等研究院企画調整室　室長

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Mori, Shigefumi

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External funds: Kakenhi

Education

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Administration

School management (title, position)

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