Detailed Information

Research Field/Keywords for Research Field

• Algebraic Geometry

Education

• 2004/03, Graduated
• 2006/03, Master Course, Completed
• 2009/03, Doctor Course, Completed

Employment Experience

• 2006/04 - 2008/03
• 2009/04 - 2011/03
• 2011/04 - 2012/03
• 2012/04 - 2015/05 Lecturer, Mathematics, Graduate School of Science and Engineering, Saga University
• 2015/06 -  *  Associate Professor, Mathematics, Graduate School of Science and Engineering, Saga University
• 2022/03 -  *  Professor, Faculty of Science and Engineering, Saga University

Field of Specialization

• Algebra

Membership in Academic Societies

• Mathematical Society of Japan

Awards

• 日本数学会代数学賞 （2020/03）

Research Topics and Results

• Stable rationality of index one Fano hypersurfaces containing a linear space 2022/09
• Smooth weighted hypersurfaces that are not stably rational 2021/06
• Alpha invariants of birationally bi-rigid Fano 3-folds I 2021/03
• Stable rationality of del Pezzo fibrations of low degree over projective spaces 2020/11
• Birational Mori fiber structures of Q-Fano 3-fold weighted complete intersections, III 2020/09
• On birational rigidity of singular del Pezzo fibrations of degree 1 2020/08
• Birationally superrigid Fano3-folds of codimension 4 2020/03
• Stable rationality of cyclic covers of projective spaces 2019/08
• Stable rationality of orbifold Fano 3-fold hypersurfaces 2019/01
• Stable rationality of higher dimensional conic bundles 2018/06
• Birational Mori fiber structures of Q-Fano 3-fold weighted complete intersections, II 2018/05
• Alpha invariants of birationally rigid Fano three-folds 2018/05
• Birationally rigid Pfaffian Fano 3-folds 2018/03
• Q-Fano threefolds with three birational Mori fiber structures 2017/12
• Nonrational del Pezzo fibrations admitting an action of the Klein simple group 2016/03
• Birational Mori fiber structures of Q-Fano threefold weighted complete intersections 2014/12
• Birational superrigidity and slope stability of Fano manifolds 2013/12
• On the birational unboundedness of higher dimensional Q-Fano varieties 2009/09
• Nonrational weighted hypersurfaces 2009/06

Original Articles

• Stable rationality of index one Fano hypersurfaces containing a linear space;　2022/09
  ANNOUNCEMENT INFO.;　Eur. J. Math., 8, 3, 1158-1171
  AUTHOR;　Takuzo Okada
  
• Smooth weighted hypersurfaces that are not stably rational;　2021/06
  ANNOUNCEMENT INFO.;　Ann. Inst. Fourier (Grenoble), 71, 1, 203-237
  AUTHOR;　Takuzo Okada
  
• Alpha invariants of birationally bi-rigid Fano 3-folds I;　2021/03
  ANNOUNCEMENT INFO.;　Eur. J. Math., 7, 1, 272-308
  AUTHOR;　In-Kyun kim, Takuzo Okada, Joonyeong Won
  
• Stable rationality of del Pezzo fibrations of low degree over projective spaces;　2020/11
  ANNOUNCEMENT INFO.;　Int. Math. Res. Not., 2020, 23, 9075-9119
  AUTHOR;　Igor Krylov, Takuzo Okada
  
• Birational Mori fiber structures of Q-Fano 3-fold weighted complete intersections, III;　2020/09
  ANNOUNCEMENT INFO.;　Kyoto J. Math., 60, 3, 825-893
  AUTHOR;　Takuzo Okada
  
• On birational rigidity of singular del Pezzo fibrations of degree 1;　2020/08
  ANNOUNCEMENT INFO.;　J. Lond. Math. Soc. (2), 102, 1, 1-21
  AUTHOR;　Takuzo Okada
  
• Birationally superrigid Fano3-folds of codimension 4;　2020/03
  ANNOUNCEMENT INFO.;　Algebra Number Theory, 14, 1, 191-212
  AUTHOR;　Takuzo Okada
  
• Stable rationality of cyclic covers of projective spaces;　2019/08
  ANNOUNCEMENT INFO.;　Proc. Edinb. Math. Soc. (2), 62, 3, 667-682
  AUTHOR;　Takuzo Okada
  
• Stable rationality of orbifold Fano 3-fold hypersurfaces;　2019/01
  ANNOUNCEMENT INFO.;　J. Algebraic Geom., 28, 99-138
  AUTHOR;　Takuzo Okada
  
• Stable rationality of higher dimensional conic bundles;　2018/06
  ANNOUNCEMENT INFO.;　Épijournal de Géométrie Algébrieque, 2, 13pp
  AUTHOR;　Hamid Ahmadinezhad, Takuzo Okada
  
• Birational Mori fiber structures of Q-Fano 3-fold weighted complete intersections, II;　2018/05
  ANNOUNCEMENT INFO.;　J. Reine Angew. Math., 738, 73-129
  AUTHOR;　Takuzo Okada
  
• Alpha invariants of birationally rigid Fano three-folds;　2018/05
  ANNOUNCEMENT INFO.;　Int. Math. Res. Not., 2018, 9, 2745-2800
  AUTHOR;　In-Kyun Kim, Joonyeong Won, Takuzo Okada
  
• Birationally rigid Pfaffian Fano 3-folds;　2018/03
  ANNOUNCEMENT INFO.;　Algebr. Geom., 5, 2, 160-199
  AUTHOR;　Hamid Ahmadinezhad, Takuzo Okada
  
• Q-Fano threefolds with three birational Mori fiber structures;　2017/12
  ANNOUNCEMENT INFO.;　Advanced Studies in Pure Mathematics, Volume 75, 393-424
  AUTHOR;　Takuzo Okada
  
• Nonrational del Pezzo fibrations admitting an action of the Klein simple group;　2016/03
  ANNOUNCEMENT INFO.;　European Journal of Mathematics, 2, 1, 319-332
  AUTHOR;　Takuzo Okada
  
• Birational Mori fiber structures of Q-Fano threefold weighted complete intersections;　2014/12
  ANNOUNCEMENT INFO.;　Proc. London Math. Soc., 109, 6, 1549-1600
  AUTHOR;　Takuzo Okada
  
• Birational superrigidity and slope stability of Fano manifolds;　2013/12
  ANNOUNCEMENT INFO.;　Mathematische Zeitschrift, 275, 3-4, 1109-1119
  AUTHOR;　Yuji Odaka, Takuzo Okada
  
• On the birational unboundedness of higher dimensional Q-Fano varieties;　2009/09
  ANNOUNCEMENT INFO.;　Math. Ann., 345, 1, 195-212
  AUTHOR;　Takuzo Okada
  
• Nonrational weighted hypersurfaces;　2009/06
  ANNOUNCEMENT INFO.;　Nagoya Math. J., 194, 1-32
  AUTHOR;　Takuzo Okada
  

General Lectures

• On birationally solid Fano 3-fold hypersurfaces;　2022/10
  ANNOUNCEMENT INFO.;　Algebraic Geometry Seminar at IBS-CGP,Pohang, Korea
  AUTHOR;　Takuzo Okada
  
• Birational geometry of sextic double solids with cA points;　2021/10
  ANNOUNCEMENT INFO.;　Algebraic Geometry Seminar, Online (Zoom), IBS-CGP, Pohang, Korea
  AUTHOR;　Takuzo Okada
  
• Birational geometry of sextic double solids with cA points;　2021/09
  ANNOUNCEMENT INFO.;　Seminar of Algebraic Geometry in East Asia, Online (Zoom)
  AUTHOR;　Takuzo Okada
  
• K-stability of birationally superrigid Fano 3-fold weighted hypersurfaces;　2020/12
  ANNOUNCEMENT INFO.;　Zoom Algebraic Geometry Seminar
  AUTHOR;　Takuzo Okada
  
• On K-stability of birationally superrigid Fano 3-folds;　2020/07
  ANNOUNCEMENT INFO.;　
  AUTHOR;　Takuzo Okada
  

Invited Lecture, Special Lecture

• Birational rigidity of certain singular Fano 3-folds;　2023/03
  ANNOUNCEMENT INFO.;　The 21st Affine Algebraic Geometry Meeting, Saitama University
  AUTHOR;　Takuzo Okada
  
• On birationally solid Fano 3-folds;　2022/11
  ANNOUNCEMENT INFO.;　Rationality, Moduli Spaces, and Related Topics, Nagoya University
  AUTHOR;　Takuzo Okada
  
• Birational geometry of Fano 3-fold weighted complete intersections;　2021/03
  ANNOUNCEMENT INFO.;　The 19th Affine Algebraic Geometry Meeting, Saitama University (online), Saitama
  AUTHOR;　Takuzo Okada
  
• Birational geometry of Fano 3-fold WCIs;　2021/02
  ANNOUNCEMENT INFO.;　Fano varieties and birational geometry, University of Nottingham (online), UK
  AUTHOR;　Takuzo Okada
  
• 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;　2020/03
  ANNOUNCEMENT INFO.;　
  AUTHOR;　
  
• Birationally superrigid Fano 3-folds of codimension 4;　2019/11
  ANNOUNCEMENT INFO.;　
  AUTHOR;　Takuzo Okada
  
• On the degree of irrationality of quartic 3-folds;　2019/11
  ANNOUNCEMENT INFO.;　Birational Geometry, Kahler-Einstein metrics and Degenerations, IBS-CGP, POSTECH, Pohang, Korea
  AUTHOR;　Takuzo Okada
  
• Birationally superrigid Fano threefolds of codimension 4;　2019/10
  ANNOUNCEMENT INFO.;　Kinosaki Algebraic Geometry Symposium 2019, Kinosaki International Arts Center
  AUTHOR;　Takuzo Okada
  
• Birationally superrigid Fano 3-folds of codimension 4;　2019/06
  ANNOUNCEMENT INFO.;　Algebraic Geometry International Conference, KIAS, Seoul, Korea
  AUTHOR;　Takuzo Okada
  
• Birationally superrigid Fano 3-fold of codimension 4;　2019/06
  ANNOUNCEMENT INFO.;　Birational Geometry and Fano Varieties (dedicated to V. Iskovskikh), Steklov Math. Inst., Moscow, Russia
  AUTHOR;　Takuzo Okada
  
• On K-stability of birationally superrigid Fano 3-folds;　2019/04
  ANNOUNCEMENT INFO.;　Birational Geometry, Kahler-Einstein metrics and Degenerations, HSE, Moscow, Russia
  AUTHOR;　Takuzo Okada
  
• K-stability and birational rigidity of Fano 3-folds, part 1, 2, 3, 4;　2018/12
  ANNOUNCEMENT INFO.;　Algebraic Geometry Seminar, KIAS, Seoul, Korea
  AUTHOR;　Takuzo Okada
  
• Birational rigidity of del Pezzo fibrations;　2018/11
  ANNOUNCEMENT INFO.;　Explicit Birational and Affine Geometry in Saitama, Saitama University
  AUTHOR;　Takuzo Okada
  
• Failure of stable rationality of various algebraic varieties;　2018/10
  ANNOUNCEMENT INFO.;　Algebraic Geometry in East Asia, VAST, Hanoi, Vietnam
  AUTHOR;　Takuzo Okada
  
• On birational rigidity of singular del Pezzo fibrations of degree 1;　2018/06
  ANNOUNCEMENT INFO.;　Positivity in Algebraic Geometry, Yonsei University, Seoul, Korea
  AUTHOR;　Takuzo Okada
  
• Failure of stable rationality of various algebraic varieties via reduction modulo p;　2018/05
  ANNOUNCEMENT INFO.;　Birational Geometry and Arithmetic, ICERM, Providence, RI (USA)
  AUTHOR;　Takuzo Okada
  
• On birational rigidity of singular del Pezzo fibrations of degree 1;　2018/03
  ANNOUNCEMENT INFO.;　The 16th Affine Algebraic Geometry Meeting, Kwansai Gakuin University, Osaka
  AUTHOR;　Takuzo Okada
  
• On stable rationality problem of Fano varieties;　2017/09
  ANNOUNCEMENT INFO.;　Stability, Boundedness and Fano varieties, BICMR, China
  AUTHOR;　Takuzo Okada
  
• Smooth weighted hypersurfaces that are not stably rational;　2017/06
  ANNOUNCEMENT INFO.;　Birkar's boundedness and Cremona groups, University of Edinburgh, UK
  AUTHOR;　Takuzo Okada
  
• On stable rationality of del Pezzo fibrations;　2017/03
  ANNOUNCEMENT INFO.;　The 15th Affine Algebraic Geometry Meeting, Kwansei Gakuin University, Osaka Umeda Campus
  AUTHOR;　Takuzo Okada
  
• Stable rationality of conic bundles over projective spaces;　2017/03
  ANNOUNCEMENT INFO.;　
  AUTHOR;　
  
• Stable rationality of higher dimensional conic bundles;　2017/03
  ANNOUNCEMENT INFO.;　
  AUTHOR;　
  
• Stable rationality of orbifold Fano 3-fold hypersurfaces;　2016/10
  ANNOUNCEMENT INFO.;　Kinosaki Algebraic Symposium 2016, Kinosaki International Arts Center
  AUTHOR;　Takuzo Okada
  
• Stable rationality of orbifold Fano 3-fold hypersurfaces;　2016/07
  ANNOUNCEMENT INFO.;　Rationality and selfmaps, RIMS, Kyoto
  AUTHOR;　Takuzo Okada
  
• Stable rationality of cyclic covers and some orbifold Fano 3-folds;　2016/06
  ANNOUNCEMENT INFO.;　Workshop on birational geometry and reduction to positive characteristic, University of Edinburgh, UK
  AUTHOR;　Takuzo Okada
  
• On log canonical thresholds of birationally rigid Fano threefolds;　2016/03
  ANNOUNCEMENT INFO.;　The 14th Affine Algebraic Geometry Meeting, Kwansei Gakuin University, Osaka Umeda Campus
  AUTHOR;　
  
• Classification of birationally bi-rigid Fano threefolds of codimension 2;　2016/02
  ANNOUNCEMENT INFO.;　Higher dimensional algebraic geometry and around, Kobe-Kyoto, Kyoto University
  AUTHOR;　Takuzo Okada
  
• Birationally bi-rigid Fano threefolds of codimension 2;　2016/02
  ANNOUNCEMENT INFO.;　Heilbronn Focused Research Workshop on Birational Geometry, University of Warwick, UK
  AUTHOR;　Takuzo Okada
  
• Non-rationality of del Pezzo fibrations by reduction modulo p;　2016/02
  ANNOUNCEMENT INFO.;　Linfoot Seminar, University of Bristol
  AUTHOR;　Takuzo Okada
  
• Birationally rigid Pfaffian Fano 3-folds;　2015/11
  ANNOUNCEMENT INFO.;　
  AUTHOR;　
  
• 3次元ファノ多様体の双有理幾何について;　2015/10
  ANNOUNCEMENT INFO.;　
  AUTHOR;　
  
• Birational geometry of Fano 3-folds of codimension 2 and 3;　2015/09
  ANNOUNCEMENT INFO.;　Algebraic Geometry Seminar, IBS Center for Geometry and Physics, Pohang, Korea
  AUTHOR;　Takuzo Okada
  
• Nonrational del Pezzo fibrations admitting an action of the Klein simple group;　2015/06
  ANNOUNCEMENT INFO.;　Workshop on singular del Pezzo surfaces, University of Edinburgh, UK
  AUTHOR;　Takuzo Okada
  
• Birational geometry of Mori fibrations;　2015/04
  ANNOUNCEMENT INFO.;　2015 KAIST CMC Advanced School on Algebraic Geometry, KAIST, Daejeon, Korea
  AUTHOR;　Takuzo Okada
  
• 3次元4次超曲面の非有理次数について;　2015/02
  ANNOUNCEMENT INFO.;　
  AUTHOR;　
  
• 3次元Qファノ重み付き完全交叉の双有理的森ファイバー構造について;　2014/12
  ANNOUNCEMENT INFO.;　
  AUTHOR;　
  
• Birational geometry of Q-Fano 3-fold weighted complete intersections;　2014/05
  ANNOUNCEMENT INFO.;　Landau-Ginzburg theory and Fano varieties (Gyeougju, Korea)
  AUTHOR;　Takuzo Okada
  
• On birationally tririgid Q-Fano threefolds;　2013/12
  ANNOUNCEMENT INFO.;　
  AUTHOR;　
  
• Birationally tririgid Q-Fano threefolds;　2013/11
  ANNOUNCEMENT INFO.;　
  AUTHOR;　
  
• On birationally tririgid Q-Fano threefolds;　2013/09
  ANNOUNCEMENT INFO.;　
  AUTHOR;　Takuzo Okada
  
• Introduction to rationality problem of quartic (and cubic) 3-folds;　2013/08
  ANNOUNCEMENT INFO.;　Workshop in Algebraic Geometry in Sapporo (Hokkaido University)
  AUTHOR;　Takuzo Okada
  
• Birationally birigid Q-Fano threefolds;　2012/08
  ANNOUNCEMENT INFO.;　Korea-Japan Joint Conference in Algebraic Geometry (Gunsan, Korea)
  AUTHOR;　Takuzo Okada
  
• Birational superrigidity and slope stability of Fano manifods;　2012/08
  ANNOUNCEMENT INFO.;　
  AUTHOR;　
  
• Birationally birigid Q-Fano threefolds;　2012/06
  ANNOUNCEMENT INFO.;　
  AUTHOR;　Takuzo Okada