Updated on 2024/10/03

Information

 

写真a

 
OKADA TAKUZO
 
Organization
Faculty of Mathematics Division of Algebra and Geometry Professor
School of Sciences Department of Mathematics(Concurrent)
Graduate School of Mathematics Department of Mathematics(Concurrent)
Joint Graduate School of Mathematics for Innovation (Concurrent)
Title
Professor
Contact information
メールアドレス
Profile
I have been working on algebraic geometry. I am interested in rationally connected varieties that are algebraic varieties admitting plenty of rational curves on them, and study them from the viewpoint of birational geometry. My main research topic is rationality problem of algebraic varieties which are classical and important problem in algebraic geometry. I am also interested in explicit analysis of birational properties of Fano 3-folds such as birational Mori fiber space structures and birational automorphism groups.

Degree

  • Ph. D. in science

Research History

  • 京都大学(2009-2011) 日本学術振興会特別研究員(PD)(2011-2012) 佐賀大学(2012-2023)   

Research Interests・Research Keywords

  • Research theme: I have been working on algebraic geometry. I am interested in rationally connected varieties that are algebraic varieties admitting plenty of rational curves on them, and study them from the viewpoint of birational geometry. My main research topic is rationality problem of algebraic varieties which are classical and important problem in algebraic geometry. I am also interested in explicit analysis of birational properties of Fano 3-folds such as birational Mori fiber space structures and birational automorphism groups.

    Keyword: Algebraic Geometry, Birational Geometry, Fano varieties, Mori fiber spaces

    Research period: 2023.10

Awards

  • 日本数学会 代数学賞

    2020.3   日本数学会  

Papers

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Presentations

  • ファノ多様体の双有理的森ファイバー構造の研究と有理性問題への応用 Invited

    岡田拓三

    日本数学会2020年度年会  2020.3 

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    Event date: 2024.2

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:日本大学   Country:Japan  

  • Birationally superrigid Fano 3-folds of codimension 4 Invited International conference

    Takuzo Okada

    Birational Geometry and Fano Varieties  2019.6 

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    Event date: 2024.2

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Steklov Math. Inst. (Moscow)   Country:Russian Federation  

  • Birationally solid Fano 3-fold hypersurfaces Invited International conference

    Takuzo Okada

    2023 Clay Research Workshop: K-stability and Birational Geometry  2023.9 

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    Event date: 2023.9

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Clay Mathematical Institute (Oxford)   Country:United Kingdom  

    Other Link: https://www.claymath.org/events/k-stability-and-binational-geometry/

  • Birationally solid Fano 3-folds Invited

    岡田拓三

    代数・解析・幾何学セミナー  2024.2 

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    Event date: 2024.2

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:鹿児島大学   Country:Japan  

  • Birationally solid Fano 3-fold hypersurfaces Invited International conference

    Takuzo Okada

    Fano varieties, their Geometry and Moduli  2023.10 

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    Event date: 2024.2

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Korea Institute for Advanced Study   Country:Korea, Republic of  

  • On K-stability of birationally superrigid Fano 3-folds Invited

    岡田拓三

    阪大オンライン代数幾何学セミナー  2020.7 

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    Event date: 2024.2

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:大阪大学(online)   Country:Japan  

  • K-stability of birationally superrigid Fano 3-fold weighted hypersurfaces Invited International conference

    Takuzo Okada

    Zoom Algebraic Geometry Seminar  2020.12 

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    Event date: 2024.2

    Language:English   Presentation type:Oral presentation (general)  

    Venue:online   Country:Japan  

  • Birational geometry of Fano 3-fold WCIs Invited International conference

    Takuzo Okada

    Fao varieties and Birational Geometry (online)  2021.2 

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    Event date: 2024.2

    Language:English   Presentation type:Oral presentation (general)  

    Venue:University of Nottingham (Nottingham, online)   Country:United Kingdom  

  • Birational geometry of Fano 3-fold weighted complete intersections Invited International conference

    Takuzo Okada

    The 19th Affine Algebraic Geometry Meeting (online)  2021.3 

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    Event date: 2024.2

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Online   Country:Japan  

  • 代数多様体の有理性の問題 Invited

    岡田拓三

    複素幾何学の諸問題Ⅱ  2021.9 

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    Event date: 2024.2

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Online   Country:Japan  

  • Birational geometry of sextic double solids with cA points Invited International conference

    Takuzo Okada

    Seminar of Algebraic Geometry of East Asia (online)  2021.9 

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    Event date: 2024.2

    Language:English   Presentation type:Oral presentation (general)  

    Venue:オンライン   Country:Japan  

  • Birational geometry of sextic double solids with cA points Invited International conference

    Takuzo Okada

    Algebraic Geometry Seminar (Online)  2021.10 

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    Event date: 2024.2

    Language:English   Presentation type:Oral presentation (general)  

    Venue:オンライン   Country:Korea, Republic of  

  • On birationally solid Fano 3-fold hypersurfaces Invited International conference

    Takuzo Okada

    Algebraic Geometry Seminar  2022.10 

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    Event date: 2024.2

    Language:English   Presentation type:Oral presentation (general)  

    Venue:IBS-CGP (Pohang)   Country:Korea, Republic of  

  • On birationally solid Fano 3-folds Invited International conference

    Takuzo Okada

    Rationality, Moduli, and Related Topics  2022.11 

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    Event date: 2024.2

    Language:English  

    Venue:名古屋大学   Country:Japan  

  • Birational rigidity of certain singular Fano 3-folds Invited International conference

    Takuzo Okada

    The 21st Affine Algebraic Geometry Meeting  2023.3 

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    Event date: 2024.2

    Language:English  

    Venue:埼玉大学   Country:Japan  

  • 代数多様体の(安定)有理性問題の概観 Invited

    岡田拓三

    新潟代数セミナー  2020.2 

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    Event date: 2024.2

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:新潟大学   Country:Japan  

  • On K-stability of birationally superrigid Fano 3-folds Invited International conference

    Takuzo Okada

    Birational Geometry, Kahler-Einstein metrics and Degenerations  2019.4 

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    Event date: 2024.2

    Language:English   Presentation type:Oral presentation (general)  

    Venue:HSE (Moscow)   Country:Russian Federation  

  • Birationally superrigid Fano 3-folds of codimension 4 Invited International conference

    Takuzo Okada

    Akgebraic Geometry International Conference  2019.6 

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    Event date: 2024.2

    Language:English   Presentation type:Oral presentation (general)  

    Venue:KIAS (Seoul)   Country:Korea, Republic of  

  • Birationally superrigid Fano threefolds of codimension 4 Invited International conference

    Takuzo Okada

    Kinosaki Algebraic Geometry Symposium 2019  2019.10 

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    Event date: 2024.2

    Language:English   Presentation type:Oral presentation (general)  

    Venue:城崎国際アートセンター   Country:Japan  

  • Birationally superrigid Fano 3-folds of codimension 4 Invited

    岡田拓三

    ファノ多様体及び関連する代数幾何学  2019.11 

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    Event date: 2024.2

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:九州大学   Country:Japan  

  • On the degree of irrationality of quartic 3-folds Invited International conference

    Takuzo Okada

    Birational Geometry, Kahler-Einstein metrics and Degenerations  2019.11 

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    Event date: 2024.2

    Language:English   Presentation type:Oral presentation (general)  

    Venue:IBS-CGP (Pohang)   Country:Korea, Republic of  

  • 3次元4次超曲面の非有理次数について Invited

    岡田拓三

    湯布院代数幾何ワークショップ  2019.12 

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    Event date: 2024.2

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:日本文理大学湯布院研修所   Country:Japan  

  • 正標数還元手法による非安定有理性の証明について Invited

    岡田拓三

    新潟代数セミナー  2020.2 

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    Event date: 2024.2

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:新潟大学   Country:Japan  

  • Birationally solid Fano 3-folds

    岡田拓三

    談話会(埼玉大学)  2024.1 

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    Event date: 2024.1

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:埼玉大学   Country:Japan  

  • 代数多様体の有理性問題とファノ多様体の双有理幾何

    岡田拓三

    数理談話会(九州大学)  2024.1 

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    Event date: 2024.1

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:九州大学   Country:Japan  

  • Birational Mori fiber space structures of Fano varieties and rationality problem

    岡田拓三

    九大代数学セミナー  2023.11 

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    Event date: 2023.11

    Language:Japanese  

    Venue:九州大学   Country:Japan  

  • Birationally solid Fano 3-folds

    岡田拓三

    談話会『代数幾何学の話題から』  2023.4 

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    Event date: 2023.4

    Language:Japanese   Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:熊本大学   Country:Japan  

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MISC

  • 代数多様体の有理性問題(複素幾何学の諸問題Ⅱ)

    岡田拓三

    数理解析研究所講究録 No. 2211 pp. 207-222   2022.1

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    Authorship:Corresponding author   Language:Japanese   Publishing type:Article, review, commentary, editorial, etc. (scientific journal)  

  • 森ファイバー空間の双有理剛性 Reviewed

    岡田拓三

    日本数学会『数学』   73 ( 3 )   225 - 246   2021.7

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    Authorship:Corresponding author   Language:Japanese   Publishing type:Article, review, commentary, editorial, etc. (scientific journal)  

  • Birationally superrigid Fano threefolds of codimension 4

    岡田拓三

    城崎代数幾何学シンポジウム2019 pp34-40   2020.2

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    Language:Japanese   Publishing type:Article, review, commentary, editorial, etc. (scientific journal)  

  • Stable rationality of orbifold Fano 3-fold hypersurfaces

    Takuzo Okada

    2017.2

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    Language:English   Publishing type:Article, review, commentary, editorial, etc. (scientific journal)  

  • Nonrational weighted hypersurfaces

    Takuzo Okada

    2008.2

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    Language:English   Publishing type:Article, review, commentary, editorial, etc. (scientific journal)  

Professional Memberships

  • The Mathematical Society of Japan

Academic Activities

  • 主催者

    新潟代数シンポジウム  ( Japan ) 2023.12

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    Type:Competition, symposium, etc. 

  • 主催者

    阿蘇代数幾何学研究集会  ( Japan ) 2023.9

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    Type:Competition, symposium, etc. 

  • Screening of academic papers

    Role(s): Peer review

    2023

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:4

    Number of peer-reviewed articles in Japanese journals:1

  • プログラム責任者

    第67回 代数学シンポジウム  ( Japan ) 2022.8 - 2022.9

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    Type:Competition, symposium, etc. 

  • 座長

    第67回 代数学シンポジウム  ( Japan ) 2022.8 - 2022.9

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    Type:Competition, symposium, etc. 

  • 数学(日本数学会)

    2022.7 - 2026.6

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    Type:Academic society, research group, etc. 

  • Screening of academic papers

    Role(s): Peer review

    2022

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:4

  • 座長

    日本数学会秋季総合分科会  ( Japan ) 2021.9

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    Type:Competition, symposium, etc. 

  • Screening of academic papers

    Role(s): Peer review

    2021

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:8

  • Screening of academic papers

    Role(s): Peer review

    2020

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:3

  • Screening of academic papers

    Role(s): Peer review

    2019

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:5

  • Screening of academic papers

    Role(s): Peer review

    2018

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:5

  • 世話人 International contribution

    城崎代数幾何学シンポジウム2017  ( Japan ) 2017.10

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    Type:Competition, symposium, etc. 

  • Screening of academic papers

    Role(s): Peer review

    2017

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:4

  • 主催者 International contribution

    第四回若手複素代数幾何研究集会(Younger Generations in Algebraic and Complex Geometry, IV)  ( National Taiwan University (Taipei, Taiwan) Taiwan ) 2016.1 - 2023.1

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    Type:Competition, symposium, etc. 

  • Screening of academic papers

    Role(s): Peer review

    2016

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:3

  • Screening of academic papers

    Role(s): Peer review

    2015

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:3

  • 主催者

    代数多様体とその周辺  ( Japan ) 2014.9 - 2014.10

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    Type:Competition, symposium, etc. 

  • 主催者

    第三回若手複素代数幾何研究集会  ( Japan ) 2014.1

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    Type:Competition, symposium, etc. 

  • Screening of academic papers

    Role(s): Peer review

    2014

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:2

  • 主催者 International contribution

    第二回若手複素代数幾何研究集会  ( Japan ) 2012.12

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    Type:Competition, symposium, etc. 

  • Screening of academic papers

    Role(s): Peer review

    2012

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:1

  • 主催者

    複素幾何と代数幾何の若手研究集会  ( Japan ) 2010.2

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    Type:Competition, symposium, etc. 

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Research Projects

  • ファノ多様体の双有理幾何

    Grant number:22H01118  2022 - 2026

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (B)

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • 代数多様体の有理性とその周辺に関する研究

    Grant number:18K03216  2018 - 2022

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (C)

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • ファノ多様体の双有理的森ファイバー構造の研究と有理性問題への応用

    Grant number:26800019  2014 - 2017

    Grants-in-Aid for Scientific Research  Grant-in-Aid for Young Scientists (B)

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • Stanley-Reisner イデアルの算術階数とそのベキの射影次元

    Grant number:26400049  2014 - 2016

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (C)

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    Authorship:Coinvestigator(s)  Grant type:Scientific research funding

  • Qファノ多様体と有理連結多様体の双有理幾何学的研究

    Grant number:24840034  2012 - 2013

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Research Activity start-up

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • 高次元Qファノ多様体と有理連結多様体の双有理幾何学的研究

    Grant number:11J02053  2011

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for JSPS Fellows

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • 高次元Qファノ多様体と有理連結多様体の双有理幾何学的研究

    2011

    Japan Society for the Promotion of Science  Research Fellowships for Young Scientists

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    Authorship:Principal investigator  Grant type:Joint research

  • 射影多様体のカステルヌボー・マンフォード量とその周辺の話題についての研究

    Grant number:21540044  2009 - 2013

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (C)

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    Authorship:Coinvestigator(s)  Grant type:Scientific research funding

  • 非有理的有理連結多様体の双有理幾何学的研究

    Grant number:21840032  2009 - 2010

    Grants-in-Aid for Scientific Research  Grant-in-Aid for Young Scientists (Start-up)

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • 有理的でない有理連結多様体の研究

    Grant number:06J52622  2006 - 2007

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for JSPS Fellows

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • 有理的でない有理連結多様体の研究

    2006 - 2007

    Japan Society for the Promotion of Science  Research Fellowships for Young Scientists

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    Grant type:Joint research

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Educational Activities

  • 学部及び大学院における数学教育を行っている。

Class subject

  • 線形代数学Ⅱ

    2024.10 - 2025.3   Second semester

  • 微分積分学Ⅱ

    2024.10 - 2025.3   Second semester

  • 代数幾何学基礎・演習

    2024.4 - 2024.9   First semester

  • 微分積分学Ⅰ

    2024.4 - 2024.9   First semester

  • 線形代数学Ⅰ

    2024.4 - 2024.9   First semester

Visiting, concurrent, or part-time lecturers at other universities, institutions, etc.

  • 2023  佐賀大学理工学部  Classification:Part-time lecturer  Domestic/International Classification:Japan 

    Semester, Day Time or Duration:後学期金曜2限、3限

  • 2023  埼玉大学  Classification:Intensive course  Domestic/International Classification:Japan 

    Semester, Day Time or Duration:2024年1月29日〜2月2日

Acceptance of Foreign Researchers, etc.

  • Korea Institute for Advanced Study

    Acceptance period: 2024.1   (Period):Less than 2 weeks

    Nationality:Italy

    Business entity:Japan Society for the Promotion of Science

Travel Abroad

  • 2023.10 - 2023.11

    Staying countory name 1:Korea, Republic of   Staying institution name 1:Korea Institute for Advanced Study

  • 2023.9

    Staying countory name 1:United Kingdom   Staying institution name 1:Clay Mathematical Institute

  • 2022.10

    Staying countory name 1:Korea, Republic of   Staying institution name 1:Institute for Basic Science, Center for Geometry and Physics