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Fujino, Osamu

Graduate School of Science, Division of Mathematics and Mathematical Sciences Professor

Fujino, Osamu
list
    Last Updated :2025/12/19

    Basic Information

    Faculty

    • 理学部

    Professional Memberships

    • THE MATHEMATICAL SOCIETY OF JAPAN

    Academic Degree

    • (Kyoto Univeristy)
    • (Kyoto Univeristy)

    Academic Resume (Graduate Schools)

    • Kyoto University, Graduate School of Science, Mathematics, 修了
    • Kyoto University, Graduate School of Science, Mathematics, 修了

    Academic Resume (Undergraduate School/Majors)

    • Kyoto Univeristy, Graduate School of Science, 卒業

    Research History

    • From Apr. 2021, To Present
      Kyoto University, Graduate School of Science, 教授
    • From Apr. 2016, To Mar. 2021
      Osaka University, Graduate School of Science, 教授
    • From Oct. 2008, To Mar. 2016
      Kyoto University, Graduate School of Science, 准教授
    • From Apr. 2007, To Sep. 2008
      Nagoya University, Graduate School of Mathematics, 准教授
    • From Apr. 2003, To Mar. 2007
      Nagoya University, Graduate School of Mathematics, 助教授
    • From Apr. 2000, To Mar. 2003
      Kyoto University, Research Institute for Mathematical Sciences, 助手

    Language of Instruction

    • Japanese

    ID,URL

    researchmap URL

    list
      Last Updated :2025/12/19

      Research

      Research Topics, Overview of the research

      • Research Topics

        Higher dimensional algebraic geometry
      • Overview of the research

        高次元代数多様体の双有理幾何学について研究を行っている。トーリック幾何学やHodge理論、L^2理論などにも興味を持っている。

      Research Interests

      • 代数幾何学
      • 双有理幾何学
      • 飯高プログラム
      • トーリック多様体
      • 混合ホッジ構造
      • 極小モデル

      Research Areas

      • Natural sciences, Algebra

      Papers

      • On toric foliated pairs
        Osamu Fujino; Hiroshi Sato
        Bulletin of the London Mathematical Society, 18 Aug. 2025
      • On Non-Projective Complete Toric Varieties
        Osamu Fujino; Hiroshi Sato
        Experimental Mathematics, 11 Aug. 2025, Peer-reviewed
      • Vanishing theorems for projective morphisms between complex analytic spaces
        Osamu Fujino
        Mathematical Research Letters, 2025, Peer-reviewed, Lead author
      • Variation of mixed Hodge structure and its applications
        Osamu Fujino; Taro Fujisawa
        International Journal of Mathematics, 21 May 2025, Peer-reviewed
      • Correction: On quasi-Albanese maps
        Osamu Fujino
        Bollettino dell'Unione Matematica Italiana, 01 Apr. 2025
      • Cone theorem and Mori hyperbolicity
        Osamu Fujino
        Journal of Differential Geometry, 01 Mar. 2025, Peer-reviewed, Lead author
      • ACC for log canonical thresholds for complex analytic spaces
        Osamu Fujino
        Higher dimensional algebraic geometry--a volume in honor of V. V. Shokurov, London Math. Soc. Lecture Note Ser., 2025, Peer-reviewed, Invited, Lead author
      • On quasi-Albanese maps
        Osamu Fujino
        Bollettino dell'Unione Matematica Italiana, 02 Dec. 2024
      • On mixed-$\omega$-sheaves
        Osamu Fujino
        Asian Journal of Mathematics, 2024, Peer-reviewed
      • A characterization of projective spaces from the Mori theoretic viewpoint
        Osamu Fujino; Keisuke Miyamoto
        Osaka Journal of Mathematics, 01 Oct. 2021
      • Erratum to “A footnote to a theorem of Kawamata”
        Osamu Fujino; Margarida Mendes Lopes; Rita Pardini; Sofia Tirabassi
        Mathematische Nachrichten, 19 Apr. 2024, Peer-reviewed
      • On vanishing theorems for analytic spaces
        Osamu Fujino
        Proceedings of the Japan Academy, Series A, Mathematical Sciences, 11 Apr. 2024, Peer-reviewed, Lead author
      • A remark on toric foliations
        Osamu Fujino; Hiroshi Sato
        Archiv der Mathematik, 09 Apr. 2024, Peer-reviewed
      • Positivity of extensions of vector bundles
        Sho Ejiri; Osamu Fujino; Masataka Iwai
        Mathematische Zeitschrift, 13 Feb. 2024
      • Log canonical inversion of adjunction
        Osamu Fujino
        Proceedings of the Japan Academy, Series A, Mathematical Sciences, 09 Feb. 2024, Peer-reviewed
      • Existence of log canonical modifications and its applications
        Osamu Fujino; Kenta Hashizume
        European Journal of Mathematics, 15 Feb. 2023, Peer-reviewed
      • Relative Bertini type theorem for multiplier ideal sheaves
        Osamu Fujino
        Osaka J. Math., Jan. 2023, Peer-reviewed
      • Subadjunction for Quasi-Log Canonical Pairs and Its Applications
        Osamu Fujino
        Publications of the Research Institute for Mathematical Sciences, 03 Nov. 2022, Peer-reviewed
      • On quasi-log schemes
        Osamu FUJINO
        Journal of the Mathematical Society of Japan, 28 Sep. 2022, Peer-reviewed
      • ADJUNCTION AND INVERSION OF ADJUNCTION
        OSAMU FUJINO; KENTA HASHIZUME
        Nagoya Mathematical Journal, 05 Sep. 2022, Peer-reviewed
      • Fundamental Properties of Basic Slc-Trivial Fibrations II
        Osamu Fujino; Taro Fujisawa; Haidong Liu
        Publications of the Research Institute for Mathematical Sciences, 26 Jul. 2022, Peer-reviewed
      • Fundamental Properties of Basic Slc-Trivial Fibrations I
        Osamu Fujino
        Publications of the Research Institute for Mathematical Sciences, 26 Jul. 2022, Peer-reviewed
      • On Nakayama's theorem
        Osamu Fujino
        J. Math. Sci. Univ. Tokyo, 2021, Peer-reviewed
      • Nakai–Moishezon ampleness criterion for real line bundles
        Osamu Fujino; Keisuke Miyamoto
        Mathematische Annalen, 10 Jan. 2022, Peer-reviewed
      • Injectivity theorem for pseudo-effective line bundles and its applications
        Osamu Fujino; Shin-ichi Matsumura
        Transactions of the American Mathematical Society, Series B, 13 Oct. 2021, Peer-reviewed
      • On Minimal Model Theory for Algebraic Log Surfaces
        Osamu Fujino
        Taiwanese Journal of Mathematics, 25 May 2021, Peer-reviewed
      • On the log canonical ring of projective plt pairs with the Kodaira dimension two
        Osamu Fujino; Haidong Liu
        Annales de l'Institut Fourier, 15 Apr. 2021, Peer-reviewed
      • MINIMAL MODEL THEORY FOR LOG SURFACES IN FUJIKI’S CLASS
        OSAMU FUJINO
        Nagoya Mathematical Journal, Dec. 2021, Peer-reviewed
      • Quasi-log canonical pairs are Du Bois
        Osamu Fujino; Haidong Liu
        Journal of Algebraic Geometry, 01 Feb. 2021, Peer-reviewed
      • A relative spannedness for log canonical pairs and quasi-log canonical pairs
        Osamu Fujino
        ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 30 Mar. 2022, Peer-reviewed
      • Fujita-type freeness for quasilog canonical curves and surfaces
        Osamu Fujino; Haidong Liu
        Kyoto Journal of Mathematics, Dec. 2020, Peer-reviewed
      • Corrigendum to “On subadditivity of the logarithmic Kodaira dimension”
        Osamu FUJINO
        Journal of the Mathematical Society of Japan, Oct. 2020, Peer-reviewed
      • NOTES ON TORIC VARIETIES FROM MORI THEORETIC VIEWPOINT, II
        OSAMU FUJINO; HIROSHI SATO
        Nagoya Mathematical Journal, Sep. 2020, Peer-reviewed
      • Toric Fano contractions associated to long extremal rays
        Osamu Fujino; Hiroshi Sato
        Tohoku Mathematical Journal, 01 Mar. 2020, Peer-reviewed
      • Vanishing and Semipositivity Theorems for Semi-log Canonical Pairs
        Osamu Fujino
        Publications of the Research Institute for Mathematical Sciences, 21 Jan. 2020, Peer-reviewed
      • On semipositivity theorems
        Osamu Fujino; Taro Fujisawa
        Mathematical Research Letters, 2019, Peer-reviewed
      • On normalization of quasi-log canonical pairs
        Osamu Fujino; Haidong Liu
        Proceedings of the Japan Academy, Series A, Mathematical Sciences, 01 Dec. 2018, Peer-reviewed
      • Semipositivity theorems for moduli problems
        Osamu Fujino
        Annals of Mathematics, 01 May 2018, Peer-reviewed
      • Kollár--Nadel type vanishing theorem
        Osamu Fujino
        Southeast Asian Bull. Math., 2018, Peer-reviewed, Invited
      • On subadditivity of the logarithmic Kodaira dimension
        Osamu Fujino
        JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, Oct. 2017, Peer-reviewed
      • 対談:森理論について
        藤野 修; 森 重文
        数学, 2017, Peer-reviewed, Invited
      • Pull-back of Quasi-Log Structures
        Osamu Fujino
        PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 2017, Peer-reviewed
      • Effective Basepoint-Free Theorem for Semi-Log Canonical Surfaces
        Osamu Fujino
        PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 2017, Peer-reviewed
      • On semipositivity, injectivity and vanishing theorems
        Osamu Fujino
        Adv. Lect. Math. (ALM), 2017, Peer-reviewed, Invited
      • Injectivity theorems
        Osamu Fujino
        Higher Dimensional Algebraic Geometry: In honour of Professor Yujiro Kawamata's sixtieth birthday, Jan. 2017, Peer-reviewed, Invited
      • On log canonical rings
        Osamu Fujino; Yoshinori Gongyo
        Higher Dimensional Algebraic Geometry: In honour of Professor Yujiro Kawamata's sixtieth birthday, Jan. 2017, Peer-reviewed, Invited
      • Notes on the weak positivity theorems
        Osamu Fujino
        Algebraic Varieties and Automorphism Groups, Jan. 2017, Peer-reviewed, Invited
      • Kollar-type effective freeness for quasi-log canonical pairs
        Osamu Fujino
        INTERNATIONAL JOURNAL OF MATHEMATICS, Dec. 2016, Peer-reviewed
      • Basepoint-free Theorem of Reid-Fukuda Type for Quasi-log Schemes
        Osamu Fujino
        PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, Mar. 2016, Peer-reviewed
      • Corrigendum: Direct images of relative pluricanonical bundles [Algebraic Geometry, 3, 1 (2016), (50-62)] DOI:10.14231/AG-2016-003
        Osamu Fujino
        Algebraic Geometry, 01 Mar. 2016, Peer-reviewed
      • On log canonical rational singularities
        Osamu Fujino
        PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, Jan. 2016, Peer-reviewed
      • Direct images of relative pluricanonical bundles
        Osamu Fujino
        Algebraic Geometry, 01 Jan. 2016, Peer-reviewed
      • Vanishing theorems
        Osamu Fujino
        Minimal Models and Extreme Rays (Kyoto, 2011), 2016, Peer-reviewed, Invited
      • Kodaira vanishing theorem for log-canonical and semi-log-canonical pairs
        Osamu Fujino
        PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, Oct. 2015, Peer-reviewed
      • Some remarks on the minimal model program for log canonical pairs
        FUJINO Osamu
        J. Math. Sci. Univ. Tokyo, 2015, Peer-reviewed
      • Variations of Mixed Hodge Structure and Semipositivity Theorems
        Osamu Fujino; Taro Fujisawa
        PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, Dec. 2014, Peer-reviewed
      • Log pluricanonical representations and the abundance conjecture
        Osamu Fujino; Yoshinori Gongyo
        COMPOSITIO MATHEMATICA, Apr. 2014, Peer-reviewed
      • Some Remarks on the Semipositivity Theorems
        Osamu Fujino; Taro Fujisawa; Morihiko Saito
        PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, Mar. 2014, Peer-reviewed
      • Fundamental theorems for semi log canonical pairs
        FUJINO Osamu
        Algebr. Geom., 2014, Peer-reviewed
      • On Images of Weak Fano Manifolds II
        Osamu Fujino; Yoshinori Gongyo
        ALGEBRAIC AND COMPLEX GEOMETRY, 2014, Peer-reviewed
      • ON THE MODULI B-DIVISORS OF LC-TRIVIAL FIBRATIONS
        Osamu Fujino; Yoshinori Gongyo
        ANNALES DE L INSTITUT FOURIER, 2014, Peer-reviewed
      • On maximal Albanese dimensional varieties
        Osamu Fujino
        PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, Oct. 2013, Peer-reviewed
      • On the F-purity of isolated log canonical singularities
        Osamu Fujino; Shunsuke Takagi
        COMPOSITIO MATHEMATICA, Sep. 2013, Peer-reviewed
      • A transcendental approach to Kollar's injectivity theorem II
        Osamu Fujino
        JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, Aug. 2013, Peer-reviewed
      • ON THE ACC FOR LENGTHS OF EXTREMAL RAYS
        Osamu Fujino; Yasuhiro Ishitsuka
        TOHOKU MATHEMATICAL JOURNAL, Mar. 2013, Peer-reviewed
      • A remark on Kovacs's vanishing theorem
        Osamu Fujino
        Kyoto Journal of Mathematics, Dec. 2012, Peer-reviewed
      • On log surfaces
        Osamu Fujino; Hiromu Tanaka
        PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, Oct. 2012, Peer-reviewed
      • A TRANSCENDENTAL APPROACH TO KOLLAR'S INJECTIVITY THEOREM
        Osamu Fujino
        OSAKA JOURNAL OF MATHEMATICS, Sep. 2012, Peer-reviewed
      • Minimal Model Theory for Log Surfaces
        Osamu Fujino
        PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, Jun. 2012, Peer-reviewed
      • On Canonical Bundle Formulas and Subadjunctions
        Osamu Fujino; Yoshinori Gongyo
        MICHIGAN MATHEMATICAL JOURNAL, 2012, Peer-reviewed
      • Basepoint-free theorems: saturation, b-divisors, and canonical bundle formula
        Osamu Fujino
        ALGEBRA & NUMBER THEORY, 2012, Peer-reviewed
      • On images of weak Fano manifolds
        Osamu Fujino; Yoshinori Gongyo
        Math. Z., 2012, Peer-reviewed
      • A remark on Kovács's vanishing theorem
        Osamu Fujino
        Kyoto J. Math., 2012, Peer-reviewed
      • Addendum to "On Isolated Log Canonical Singularities with Index One"
        Osamu Fujino
        JOURNAL OF MATHEMATICAL SCIENCES-THE UNIVERSITY OF TOKYO, 2012, Peer-reviewed
      • NON-VANISHING THEOREM FOR LOG CANONICAL PAIRS
        Osamu Fujino
        JOURNAL OF ALGEBRAIC GEOMETRY, Oct. 2011, Peer-reviewed
      • Fundamental Theorems for the Log Minimal Model Program
        Osamu Fujino
        PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, Sep. 2011, Peer-reviewed
      • Semi-stable minimal model program for varieties with trivial canonical divisor
        Osamu Fujino
        PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, Mar. 2011, Peer-reviewed
      • On Isolated Log Canonical Singularities with Index One
        Osamu Fujino
        JOURNAL OF MATHEMATICAL SCIENCES-THE UNIVERSITY OF TOKYO, 2011, Peer-reviewed
      • Introduction to the theory of quasi-log varieties
        Osamu Fujino
        EMS Ser. Congr. Rep., Eur. Math. Soc., Zürich, 2011, Peer-reviewed, Invited
      • On Kawamata's theorem
        Osamu Fujino
        EMS Ser. Congr. Rep., Eur. Math. Soc., Zürich, 2011, Peer-reviewed, Invited
      • Recent developments in minimal model theory
        Osamu Fujino
        Sugaku Expositions, 2011, Peer-reviewed, Invited
      • Supplements to non-lc ideal sheaves
        FUJINO Osamu; SCHWEDE Karl; TAKAGI Shunsuke
        RIMS K\^oky\^uroku Bessatsu, 2011, Peer-reviewed, Invited
      • Finite generation of the log canonical ring in dimension four
        Osamu Fujino
        Kyoto Journal of Mathematics, Dec. 2010, Peer-reviewed
      • Effective Base Point Free Theorem for Log Canonical Pairs, II. Angehm-Siu Type Theorems
        Osamu Fujino
        MICHIGAN MATHEMATICAL JOURNAL, 2010, Peer-reviewed
      • Theory of non-lc ideal sheaves: Basic properties
        Osamu Fujino
        Kyoto Journal of Mathematics, 2010, Peer-reviewed
      • EFFECTIVE BASE POINT FREE THEOREM FOR LOG CANONICAL PAIRS-KOLLAR TYPE THEOREM
        Osamu Fujino
        TOHOKU MATHEMATICAL JOURNAL, Dec. 2009, Peer-reviewed
      • On injectivity, vanishing and torsion-free theorems for algebraic varieties
        Osamu Fujino
        PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, Oct. 2009, Peer-reviewed
      • Smooth projective toric varieties whose nontrivial nef line bundles are big
        Osamu Fujino; Hiroshi Sato
        PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, Jul. 2009, Peer-reviewed
      • Three-dimensional terminal toric flips
        Osamu Fujino; Hiroshi Sato; Yukishige Takano; Hokuto Uehara
        CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, Mar. 2009, Peer-reviewed
      • 極小モデル理論の新展開
        藤野 修
        数学, 2009, Peer-reviewed, Invited
      • Vanishing theorems for toric polyhedra
        Osamu Fujino
        RIMS Kôkyûroku Bessatsu, 2008, Peer-reviewed, Invited
      • Multiplication maps and vanishing theorems for Toric varieties
        Osamu Fujino
        MATHEMATISCHE ZEITSCHRIFT, Nov. 2007, Peer-reviewed
      • What is log terminal?
        Osamu Fujino
        Oxford Lecture Ser. Math. Appl., 2007, Peer-reviewed, Invited
      • Special termination and reduction to pl flips
        Osamu Fujino
        Oxford Lecture Ser. Math. Appl., 2007, Peer-reviewed, Invited
      • Equivariant completions of toric contraction morphisms
        Osamu Fujino
        TOHOKU MATHEMATICAL JOURNAL, Sep. 2006, Peer-reviewed
      • Toric varieties whose canonical divisors are divisible by their dimensions
        Osamu Fujino
        OSAKA JOURNAL OF MATHEMATICS, Jun. 2006, Peer-reviewed
      • An example of toric flops
        O. Fujino; H. Sato
        Tohoku Math. J., 2006, Peer-reviewed
      • Smooth complete toric threefolds with no nontrivial nef line bundles
        O Fujino; S Payne
        PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, Dec. 2005, Peer-reviewed
      • On termination of 4-fold semi-stable log flips
        O Fujino
        PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, Jul. 2005, Peer-reviewed
      • On the Kleiman-Mori cone
        O Fujino
        PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, May 2005, Peer-reviewed
      • Addendum to "termination of 4-fold canonical flips"
        O Fujino
        PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, Mar. 2005, Peer-reviewed
      • Remarks on algebraic fiber spaces
        O Fujino
        JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 2005, Peer-reviewed
      • Higher direct images of log canonical divisors
        O Fujino
        JOURNAL OF DIFFERENTIAL GEOMETRY, Mar. 2004, Peer-reviewed
      • Termination of 4-fold canonical flips
        O Fujino
        PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, Mar. 2004, Peer-reviewed
      • Introduction to the toric Mori theory
        O Fujino; H Sato
        MICHIGAN MATHEMATICAL JOURNAL, 2004, Peer-reviewed
      • A canonical bundle formula for certain algebraic fiber spaces and its applications
        O Fujino
        NAGOYA MATHEMATICAL JOURNAL, Dec. 2003, Peer-reviewed
      • Algebraic fiber spaces whose general fibers are of maximal albanese dimension
        O Fujino
        NAGOYA MATHEMATICAL JOURNAL, Dec. 2003, Peer-reviewed
      • Notes on toric varieties from Mori theoretic viewpoint
        O Fujino
        TOHOKU MATHEMATICAL JOURNAL, Dec. 2003, Peer-reviewed
      • The indices of log canonical singularities
        O Fujino
        AMERICAN JOURNAL OF MATHEMATICS, Apr. 2001, Peer-reviewed
      • A canonical bundle formula
        O Fujino; S Mori
        JOURNAL OF DIFFERENTIAL GEOMETRY, Sep. 2000, Peer-reviewed
      • Abundance theorem for semi log canonical threefolds
        O Fujino
        DUKE MATHEMATICAL JOURNAL, May 2000, Peer-reviewed
      • Base point free theorem of Reid--Fukuda type
        Osamu Fujino
        J. Math. Sci. Univ. Tokyo, 2000, Peer-reviewed
      • On abundance theorem for semi log canonical threefolds
        O Fujino
        PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, Jun. 1999, Peer-reviewed
      • Applications of Kawamata's positivity theorem
        O Fujino
        PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, Jun. 1999, Peer-reviewed
      • On inversion of adjunction
        Osamu Fujino; Kenta Hashizume
        Proceedings of the Japan Academy, Series A, Mathematical Sciences, 10 Feb. 2022, Peer-reviewed

      Misc.

      • 森重文氏の2025 Basic Science Lifetime Award受賞に寄せて
        藤野 修
        数学通信 / 日本数学会 編, Aug. 2025, Invited
      • 小田予想について
        藤野 修
        数学通信 / 日本数学会 編, Feb. 2025, Invited, Lead author
      • 高次元代数多様体の双有理分類を目指して
        藤野 修
        the Ostec, Jan. 2024, Invited
      • 森重文先生の文化勲章受章に寄せて
        藤野 修
        京大数学同窓会同窓会誌, Aug. 2022, Invited, Lead author
      • 松村慎一氏の令和4年度科学技術分野の文部科学大臣表彰若手科学者賞受賞に寄せて
        藤野 修
        数学通信 / 日本数学会 編, Nov. 2022
      • 代数学—特集 数学とはどのような学問か
        藤野 修
        Apr. 2022
      • Problems on the theory of minimal models (Open problems in complex geometry II)
        Fujino, Osamu
        RIMS Kokyuroku, Jan. 2022
      • On the foundations of the minimal model program
        Fujino, Osamu
        代数幾何学シンポジウム記録, 2015, Invited
      • On Algebraic fiber spaces
        Fujino, Osamu
        代数幾何学シンポジューム記録, 2002, Invited
      • Abundance Theorem for semi log Canonical Threefolds
        藤野 修
        代数幾何学シンポジューム, 1999, Invited
      • 小平次元 (特集 幾何学と次元 : 相互の関係とその発展に迫る)
        藤野 修
        数理科学, Feb. 2018
      • 高次元代数幾何 (特集 高次元世界の数学 : なぜ次元を上げるのか)
        藤野 修
        数理科学, Dec. 2016
      • フィールズ賞で語る現代数学(第9回)代数幾何学(3)双有理幾何学
        藤野 修
        数理科学, Dec. 2015
      • 高次元代数多様体論 (特集 小平邦彦と代数幾何) -- (小平数学のその後の影響や発展)
        藤野 修
        数学セミナー, Mar. 2015
      • Some problems on Fano varieties (Recent development of Fano manifolds)
        Fujino Osamu
        RIMS Kokyuroku, May 2014
      • Vanishing theorem and non-vanishing theorem
        Fujino Osamu
        RIMS Kokyuroku, Jun. 2011
      • 目指せ!フィールズ賞!!--森重文氏フィールズ賞受賞 (特集 この20年で数学に何が起こったか)
        藤野 修
        数学セミナー, Apr. 2011
      • On injectivity, vanishing, and torsion-free theorems
        Fujino Osamu
        RIMS Kokyuroku, Sep. 2008
      • On toric vanishing theorems
        Fujino Osamu
        RIMS Kokyuroku, Sep. 2008
      • ON KOLLAR'S INJECTIVITY THEOREM(Arc Spaces and Multiplier Ideals)
        FUJINO OSAMU
        RIMS Kokyuroku, Apr. 2007
      • 現代代数学の歩み(第18回)森重文
        藤野 修
        数学セミナー, May 2006
      • 書評 新・数学の学び方 小平邦彦編
        藤野 修
        Aug. 2015

      Presentations

      • 小平次元の不等式について
        藤野 修
        東北大学代数セミナー, 08 Jan. 2026, Invited
      • On the Kodaira dimension
        Osamu Fujino
        Workshop on Algebraic Geometry and Complex Geometry, Tianyuan Mathematical Center in Central China, School of Mathematics and Statistics, Wuhan University, 08 Sep. 2025, Invited
      • 極小モデル理論の解析化
        藤野 修
        代数学シンポジウム、九州大学, 28 Aug. 2025, Invited
      • Minimal model theory for projective morphisms between complex analytic spaces
        Osamu Fujino
        2025 Summer Research Institute in Algebraic Geometry, Colorado State University, 14 Jul. 2025
      • Minimal model theory for projective morphisms between complex analytic spaces
        Osamu Fujino
        Workshop on Fano Varieties, BICMR Peking University, 23 Jun. 2025, Invited
      • On finiteness of relative log pluricanonical representations
        Osamu Fujino
        The 2nd Niigata Algebra Symposium, 27 Nov. 2024, Invited
      • 小田予想について
        藤野 修
        市民講演会(日本数学会), 07 Sep. 2024, Invited
      • On the Kodaira dimension
        Osamu Fujino
        Foliation and Birational Geometry in Shanghai Center for Mathematical Sciences, Fudan University, 26 Aug. 2024, Invited
      • 小平次元について
        藤野 修
        名古屋大学 代数幾何学セミナー, 21 May 2024, Invited
      • Some Remarks on Weakly Positive Sheaves
        Osamu Fujino
        MPS Conference on Higher Dimensional Geometry, May 6-10, 2024, 10 May 2024, Invited
      • Vanishing theorems for projective morphisms between complex analytic spaces
        Osamu Fujino
        Workshop on Complex Geometry in Osaka 2024, 14 Mar. 2024, Invited
      • Minimal model program for projective morphisms between complex analytic spaces
        Osamu Fujino
        CONFERENCE ON SINGULARITIES AND BIRATIONAL GEOMETRY IN SEOUL, KOREA, 22-26 JAN. 2024, 23 Jan. 2024, Invited
      • Minimal model program for projective morphisms between complex analytic spaces
        Osamu Fujino
        Birational Workshop, Hausdorff Research Institute for Mathematics, 21 Nov. 2023, Invited
      • 高次元代数多様体の双有理分類を目指して
        藤野 修
        大阪科学賞 記念講演, 11 Nov. 2023, Invited
      • Minimal model program for projective morphisms between complex analytic spaces
        Osamu Fujino
        International workshop on Birational Geometry, Nagoya, 12 Oct. 2023, Invited
      • Variation of mixed Hodge structure and its applications
        藤野 修
        K3, Enriques Surfaces and Related Topics, 21 Mar. 2023, Invited
      • 極小モデル理論の解析化
        藤野 修
        京都大学談話会, 19 Oct. 2022, Invited
      • Adjunction and inversion of adjunction
        Osamu Fujino
        Algebraic Geometry Seminar at YMSC, Tsinghua University, 08 Sep. 2022, Invited
      • Introduction to the Iitaka conjecture, Part 4
        Osamu Fujino
        2022 SCMS Algebraic Geometry Summer School, 12 Aug. 2022, Invited
      • Introduction to the Iitaka conjecture, Part 3
        Osamu Fujino
        2022 SCMS Algebraic Geometry Summer School, 11 Aug. 2022, Invited
      • Introduction to the Iitaka conjecture, Part 2
        Osamu Fujino
        2022 SCMS Algebraic Geometry Summer School, 09 Aug. 2022, Invited
      • Introduction to the Iitaka conjecture, Part 1
        Osamu Fujino
        2022 SCMS Algebraic Geometry Summer School, 08 Aug. 2022, Invited
      • Vanishing theorems for projective morphisms between complex analytic spaces
        Osamu Fujino
        JAMI 2022: Higher Dimensional Algebraic Geometry, 03 May 2022, Invited
      • 小平消滅定理の一般化と双有理幾何学への応用
        藤野 修
        第25回日本数学会代数学賞受賞特別講演, 30 Mar. 2022, Invited
      • On canonical rings
        Osamu Fujino
        Arithmetic algebraic geometry and mathematical physics, 29 Nov. 2021, Invited
      • 極小モデル理論についての問題
        藤野 修
        複素幾何学の諸問題II, 09 Sep. 2021, Invited
      • Quasi-log schemes入門 第2回目
        藤野 修
        阪大オンライン代数幾何学セミナー, 21 Dec. 2020, Invited
      • On mixed-$\omega$-sheaves (Part III)
        Osamu Fujino
        Tianyuan workshop series (online), 16 Dec. 2020, Invited
      • Quasi-log schemes入門 第1回目
        藤野 修
        阪大オンライン代数幾何学セミナー, 14 Dec. 2020, Invited
      • On mixed-$\omega$-sheaves (Part II)
        Osamu Fujino
        Tianyuan workshop series (online), 09 Dec. 2020, Invited
      • On mixed-$\omega$-sheaves (Part I)
        Osamu Fujino
        Tianyuan workshop series (online), 02 Dec. 2020, Invited
      • Minimal model theory for log surfaces in Fujiki's class C
        Osamu Fujino
        東大京大代数幾何セミナー, 28 Oct. 2020, Invited
      • On log canonical rings
        Osamu Fujino
        Workshop on Algebraic Geometry, 29 Nov. 2019, Meng Chen (Fudan University); Wenfei Liu (Xiamen University), Invited
      • Introduction to the theory of quasi-log canonical pairs, lecture 4
        Osamu Fujino
        Short Course on Birational Geometry and Moduli Spaces, 27 Nov. 2019, Invited
      • Introduction to the theory of quasi-log canonical pairs, lecture 3
        Osamu Fujino
        Short Course on Birational Geometry and Moduli Spaces, 26 Nov. 2019, Invited
      • Introduction to the theory of quasi-log canonical pairs, lecture 2
        Osamu Fujino
        Short Course on Birational Geometry and Moduli Spaces, 26 Nov. 2019, Invited
      • Introduction to the theory of quasi-log canonical pairs, lecture 1
        Osamu Fujino
        Short Course on Birational Geometry and Moduli Spaces, 25 Nov. 2019, Invited
      • On quasi-log canonical pairs
        Osamu Fujino
        Algebraic Geometry Seminar, 15 May 2019, Invited

      Books and Other Publications

      • Cone and contraction theorem for projective morphisms between complex analytic spaces
        Osamu Fujino, Single work
        Mathematical Society of Japan, Tokyo, Nov. 2024
      • Iitaka conjecture : an introduction
        Fujino, Osamu, Single work
        Springer, 2020
      • Foundations of the minimal model program
        Osamu Fujino, Single work
        Mathematical Society of Japan, Tokyo, 2017, Not refereed
      • Development of moduli theory—Kyoto 2013
        Osamu Fujino; Shigeyuki Kondō; Atsushi Moriwaki; Masa-Hiko Saito; Kōta Yoshioka, Editor
        Mathematical Society of Japan, Tokyo, 2016, Not refereed
      • Minimal models and extremal rays (Kyoto, 2011)
        János Kollár; Osamu Fujino; Shigeru Mukai; Noboru Nakayama, Editor
        Mathematical Society of Japan, Tokyo, 2016, Not refereed

      Awards

      • 11 Nov. 2023
        第41回大阪科学賞
      • 30 Mar. 2022
        2022年度日本数学会代数学賞

      External funds: Kakenhi

      • Fusion of Birational Geometry and Theory of Periods;Deepening and Exploration of Mirror Symmetry Mathematics
        Grant-in-Aid for Scientific Research (S)
        Broad Section B
        The University of Osaka
        高橋 篤史
        From 05 Jul. 2021, To 31 Mar. 2026, Granted
        幾何学;代数学;数理物理学;ミラー対称性;双有理幾何学
      • 高次元代数多様体の双有理幾何学
        Grant-in-Aid for Scientific Research (B)
        Basic Section 11010:Algebra-related
        Kyoto University
        藤野 修
        From 01 Apr. 2021, To 31 Mar. 2026, Granted
        高次元代数多様体論;混合ホッジ構造;双有理幾何学;複素解析空間;森理論;極小モデル理論;混合ホッジ構造の変動;消滅定理;高次元代数多様体;トーリック多様体
      • 代数多様体の自己写像に関する多角的研究
        Grant-in-Aid for Scientific Research (A)
        Medium-sized Section 11:Algebra, geometry, and related fields
        The University of Tokyo
        小木曽 啓示
        From 01 Apr. 2020, To 31 Mar. 2025, Granted
        代数力学系;双有理自己同型群;力学次数;カラビヤウ多様体と錐予想;数論力学系;カラビヤウ多様体;上野型多様体;双有理自己写像;双正則自己射;双正則自己準同型射;川口-Shilverman予想;実形式と錐予想;双有理代数幾何学;複素力学系;実形式;自己同型群;有理曲面;実形式の非有限性;自己射のエントロピー;Slow dynamics;力学次数とエントロピー;非可換代数幾何学;有限生成性;自己写像力学次数;代数多様体の実形式;捻じれ斉次座標環
      • Geometry of the space of all variations of mixed Hodge structure over complex manifolds
        Grant-in-Aid for Scientific Research (B)
        Basic Section 11020:Geometry-related
        Osaka University
        糟谷 久矢
        From 01 Apr. 2019, To 31 Mar. 2024, Project Closed
        Moduli空間;佐々木多様体;hodge構造の変動;混合ホッジ構造の変動;非可換ホッジ理論;Equivariant正則ベクトル束;Sullivan minimal model;ホッジ構造の変動;canonical計量;自由ループ空間;非可換ホッジ構造;Orbifold;Higher Page Hodge理論;Quasi-Kahler manifold;混合ホッジ構造;ケーラー計量
      • Fusion of Birational Geometry and Theory of Periods; A New Era for Studies of Mirror Symmetry
        Grant-in-Aid for Scientific Research (S)
        Osaka University
        ATSUSHI TAKAHASHI
        From 31 May 2016, To 31 Mar. 2021, Project Closed
        代数学;幾何学;数理物理学;ミラー対称性;双有理幾何学
      • Birational geometry for higher-dimensional algebraic varieties
        Grant-in-Aid for Scientific Research (B)
        Osaka University
        Osamu Fujino
        From 01 Apr. 2016, To 31 Mar. 2021, Project Closed
        極小モデル理論;混合ホッジ構造;トーリック多様体;双有理幾何学;小平消滅定理;高次元代数多様体;飯高予想;対数的曲面;クラスシー;藤田予想;飯高プログラム;標準束公式;混合ホッジ構造の変動;対数的標準環;乗数イデアル層;トーリック多様体論;トーリック幾何学
      • Asymptotic Invariants of Higher Cohomology Groups and Applications to Complex Geometry
        Grant-in-Aid for Young Scientists (B)
        Tohoku University;Kagoshima University
        Shin-ichi Matsumura
        From 01 Apr. 2013, To 31 Mar. 2017, Project Closed
        ケーラー幾何;コホモロジー消滅定理;正則切断;特異計量;乗数イデアル層;調和積分論;dbar, L2-理論;正値性;複素幾何学;正則凸多様体;高次順像;消滅定理;Bertiniの定理;小平次元;ケーラー多様体;随伴束;dbar-方程式;L2-理論;導来圏;コホモロジー;単射性定理;豊富性;曲率の正値性
      • Birational geometry for higher-dimensional algebraic varieties
        Grant-in-Aid for Young Scientists (A)
        Osaka University;Kyoto University
        Osamu Fujino
        From 01 Apr. 2012, To 31 Mar. 2017, Project Closed
        極小モデル理論;混合ホッジ構造;半対数的j標準対;消滅定理;半正値性定理;擬対数的スキーム;乗数イデアル層;藤田予想;半対数的標準対;安定多様体;飯高不等式;数値的小平次元;アバンダンス予想;対数的小平次元;アフィン多様体;モジュライ理論;混合ホッジ理論;射影性;高次元代数多様体;極小モデル;モジュライ空間;半正値性
      • 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
      • On constructing of a minimal model of fibred algebraic varieties whose Kodaira dimension is zero
        Grant-in-Aid for Challenging Exploratory Research
        Hokkaido University
        Daisuke MATSUSHITA
        From 01 Apr. 2011, To 31 Mar. 2013, Project Closed
        極小モデル;アーベル多様体;ラグランジアン;シンプレクティック;小平次元;ファイブレーション
      • Complex geometry of relative pluricanonical bundles and deformation spaces
        Grant-in-Aid for Scientific Research (B)
        The University of Tokyo
        Shigeharu Takayama
        From 01 Apr. 2011, To 31 Mar. 2016, Project Closed
        相対標準束;モジュライ空間;変形空間;複素幾何学
      • Constructions and developments of geomerty on moduli spaces and arithmetic varieties
        Grant-in-Aid for Scientific Research (A)
        Kyoto University
        Atsushi MORIWAKI
        From 01 Apr. 2010, To 31 Mar. 2015, Project Closed
        代数幾何学;モジュライ空間;数論幾何学;解析的捩率;複素幾何;算術的力学系;半正定値;エンリケス曲面;交叉コホモロジー群;ポアソン変形;解析的捩率不変量;混合ツイスターD加群;算術多様体;導来圏;アラケロフ幾何;双有理幾何;ベクトル束;ザリスキ分解;手鋸箙多様体;シンプレクティック多様体;BorcherdsΦ関数;調和バンドル;ルート系;ディリクレの単数定理;箙多様体;ドリーニュ・マルグランジュ格子
      • Birational geometry of higher-dimensional algebraic varieties higher-dimensional algebraic
        Grant-in-Aid for Young Scientists (A)
        Kyoto University
        Osamu FUJINO
        From 01 Apr. 2008, To 31 Mar. 2012, Project Closed
        極小モデル;消滅定理;アバンダンス予想;標準束公式;トーリック幾何学;混合ホッジ構造;代数曲面論;対数的標準特異点;半安定退化;劣随伴公式;双有理幾何;トーリック幾何;フリップ;トーリック多様体
      • 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
      • Research of multiplier ideals and tight closures from viewpoint of commutative algebra and computational algebra
        Grant-in-Aid for Scientific Research (B)
        Nagoya University
        Ken-ichi YOSHIDA
        From 01 Apr. 2007, To 31 Mar. 2010, Project Closed
        乗数イデアル;密着閉包;F正則性;正則局所環;コーエン・マコーレー性;スタンレー・リースナー環;グラフ;算術的階数;テストイデアル;エッジイデアル;完全交叉;マコーレー性;スタンレー・リースナーイデアル;Hilbert-Kunz重複度;グラフイデアル;Stanley-Reisner環;形式的冪;Buchsbaum環;判定イデアル;特異点;局所化;完備化
      • 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
      • Research on lattices, automorphic forms and moduli spaces
        Grant-in-Aid for Scientific Research (A)
        Nagoya University
        Shigeyuki KONDO;Kondo SHIGEYUKI
        From 01 Apr. 2006, To 31 Mar. 2010, Project Closed
        格子;保型形式;モジュライ;K3曲面;Del Pezzo曲面;有界対称領域;格子理論;モジュライ空間;Segre cubic;Igusa quartic;複素鏡映群;K3 曲面;モジュラ空間
      • 高次元代数多様体の双有理幾何学
        Grant-in-Aid for Young Scientists (A)
        Nagoya University
        藤野 修
        From 01 Apr. 2005, To 31 Mar. 2008, Project Closed
        極小モデル理論;トーリック幾何学;消滅定理;双有理幾何学;極小モデル;ホッジ理論;調和形式;トーリック多様体;クライマン森コーン;射影性;フリップ;標準環
      • Rigid geometry and its application to number theory
        Grant-in-Aid for Scientific Research (B)
        Nagoya University
        Kazuhiro FUJIWAWA
        From 01 Apr. 2005, To 31 Mar. 2009, Project Closed
        リジッド幾何学;形式幾何学;志村多様体;Zariski-Riemann 空間;双有理幾何学;非可換類体論;Zariski-Riemann空間
      • 高次元代数多様体の双有理幾何学
        Grant-in-Aid for Young Scientists (B)
        Kyoto University
        藤野 修
        From 01 Apr. 2003, To 31 Mar. 2004, Project Closed
      • Lattices, automorphic forms and moduli spaces
        Grant-in-Aid for Scientific Research (A)
        Nagoya University
        Shigeyuki KONDO
        From 01 Apr. 2002, To 31 Mar. 2006, Project Closed
        モジュライ;保型形式;Del Pezzo曲面;K3曲面;モジュライ空間;三次曲面;一意化;3次曲面;複素ボール;自己同型群;Leech格子, Moduli;Automorphic form;Del Pezzo surface;K3 surface
      • 関数体上の2次形式とVerlinde公式
        Grant-in-Aid for Exploratory Research
        Kyoto University;Nagoya University
        向井 茂
        From 01 Apr. 2001, To 31 Mar. 2003, Project Closed
        Verlinde公式;共形場理論;Kac-Moody Lie代数;放物的ベクトル束;モジュライ;ベクトル束;共形ブロック;Cayley-Sylvester公式;ベルヌーイ数;2次曲線束;グラスマン多様体;コホモロジー環;Mumford関係
      • 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
      • Study of moduli spaces, and K3 moonshine
        Grant-in-Aid for Scientific Research (A)
        KYOTO UNIVERCITY;Nagoya University
        Shigeru MUKAI
        From 01 Apr. 1998, To 31 Mar. 2002, Project Closed
        モジュライ;ベクトル束;不変式;Verlinde公式;共形ブロック;Hilbertの第14問題;基本領域;K3曲面;Hodeg予想;モジュライ空間;不変式論;Brill-Noether理論;trisecant line公式;有界対称領域;ラータ関数;アーベル曲面;佐武コンパクト化;テータ関数;フーベル曲面;正多面体群;佐武のコンパクト化, moduli;vector bundle;invariant;Verlinde formula;conformal block;Hilbert's 14th problem;fundamental domain;K3 surface
      • 高次元代数多様体の双有理幾何学
        Grant-in-Aid for Scientific Research (B)
        Basic Section 11010:Algebra-related
        Kyoto University
        藤野 修
        From 01 Apr. 2024, To 31 Mar. 2026, Granted
        トーリック多様体;葉層構造;極小モデル理論;射影性;フリップ;フロップ;解析空間;高次元代数多様体論;混合ホッジ構造;複素解析空間;森理論;混合ホッジ構造の変動;小平次元;双有理幾何学;消滅定理;高次元代数多様体
      list
        Last Updated :2025/12/19

        Education

        Teaching subject(s)

        • From 01 Apr. 2025, To 31 Mar. 2026
          Advanced Linear Algebra
          N130, Spring, Institute for Liberal Arts and Sciences, 2
        • From 01 Apr. 2025, To 31 Mar. 2026
          Graduate Lecture in Algebraic Geometry
          0402, Spring, Graduate School of Science, 2
        • From 01 Apr. 2025, To 31 Mar. 2026
          Forefront of Mathematics and Mathematical Science I
          4138, Spring, Faculty of Science, 2
        • From 01 Apr. 2025, To 31 Mar. 2026
          Algebraic Geometry
          4128, Spring, Faculty of Science, 2
        • From 01 Apr. 2025, To 31 Mar. 2026
          Seminar on Algebraic Geometry C
          0530, Spring, Graduate School of Science, 3
        • From 01 Apr. 2025, To 31 Mar. 2026
          Seminar on Algebraic Geometry B
          0529, Fall, Graduate School of Science, 3
        • From 01 Apr. 2025, To 31 Mar. 2026
          Seminar on Algebraic Geometry A
          0528, Spring, Graduate School of Science, 3
        • From 01 Apr. 2025, To 31 Mar. 2026
          Seminar on Algebraic Geometry D
          0531, Fall, Graduate School of Science, 3
        • From 01 Apr. 2025, To 31 Mar. 2026
          Linear Algebra with Exercises B
          N152, Fall, Institute for Liberal Arts and Sciences, 3
        • From 01 Apr. 2025, To 31 Mar. 2026
          Linear Algebra with Exercises A
          N151, Spring, Institute for Liberal Arts and Sciences, 3
        • From 01 Apr. 2024, To 31 Mar. 2025
          Advanced Linear Algebra
          N130, Spring, Institute for Liberal Arts and Sciences, 2
        • From 01 Apr. 2024, To 31 Mar. 2025
          Special study course (Mathematical Science)
          5140, Year-long, Faculty of Science, 12
        • From 01 Apr. 2024, To 31 Mar. 2025
          Seminar on Algebraic Geometry b
          0431, Fall, Graduate School of Science, 3
        • From 01 Apr. 2024, To 31 Mar. 2025
          Seminar on Algebraic Geometry a
          0430, Spring, Graduate School of Science, 3
        • From 01 Apr. 2024, To 31 Mar. 2025
          Seminar on Algebraic Geometry A
          0528, Spring, Graduate School of Science, 3
        • From 01 Apr. 2024, To 31 Mar. 2025
          Seminar on Algebraic Geometry d
          0433, Fall, Graduate School of Science, 3
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          Seminar on Algebraic Geometry c
          0432, Spring, Graduate School of Science, 3
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          Seminar on Algebraic Geometry B
          0529, Fall, Graduate School of Science, 3
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          Seminar on Algebraic Geometry D
          0531, Fall, Graduate School of Science, 3
        • From 01 Apr. 2024, To 31 Mar. 2025
          Seminar on Algebraic Geometry C
          0530, Spring, Graduate School of Science, 3
        • From 01 Apr. 2023, To 31 Mar. 2024
          Advanced Linear Algebra
          N130, Spring, Institute for Liberal Arts and Sciences, 2
        • From 01 Apr. 2023, To 31 Mar. 2024
          Forefront of Mathematics and Mathematical Science I
          4138, Spring, Faculty of Science, 2
        • From 01 Apr. 2023, To 31 Mar. 2024
          Algebraic Geometry
          4128, Spring, Faculty of Science, 2
        • From 01 Apr. 2023, To 31 Mar. 2024
          Seminar on Algebraic Geometry B
          0529, Fall, Graduate School of Science, 3
        • From 01 Apr. 2023, To 31 Mar. 2024
          Seminar on Algebraic Geometry A
          0528, Spring, Graduate School of Science, 3
        • From 01 Apr. 2023, To 31 Mar. 2024
          Seminar on Algebraic Geometry D
          0531, Fall, Graduate School of Science, 3
        • From 01 Apr. 2023, To 31 Mar. 2024
          Seminar on Algebraic Geometry C
          0530, Spring, Graduate School of Science, 3
        • From 01 Apr. 2023, To 31 Mar. 2024
          Graduate Lecture in Algebraic Geometry
          0402, Spring, Graduate School of Science, 2
        • From 01 Apr. 2022, To 31 Mar. 2023
          Seminar on Algebraic Geometry B
          0529, Fall, Graduate School of Science, 3
        • From 01 Apr. 2022, To 31 Mar. 2023
          Seminar on Algebraic Geometry A
          0528, Spring, Graduate School of Science, 3
        • From 01 Apr. 2022, To 31 Mar. 2023
          Seminar on Algebra c
          0468, Spring, Graduate School of Science, 3
        • From 01 Apr. 2022, To 31 Mar. 2023
          Advanced Linear Algebra
          N130, Spring, Institute for Liberal Arts and Sciences, 2
        • From 01 Apr. 2022, To 31 Mar. 2023
          Seminar on Algebra b
          0467, Fall, Graduate School of Science, 3
        • From 01 Apr. 2022, To 31 Mar. 2023
          Seminar on Algebra d
          0469, Fall, Graduate School of Science, 3
        • From 01 Apr. 2022, To 31 Mar. 2023
          Linear Algebra with Exercises B
          N152, Fall, Institute for Liberal Arts and Sciences, 3
        • From 01 Apr. 2022, To 31 Mar. 2023
          Seminar on Algebraic Geometry d
          0433, Fall, Graduate School of Science, 3
        • From 01 Apr. 2022, To 31 Mar. 2023
          Seminar on Algebraic Geometry b
          0431, Fall, Graduate School of Science, 3
        • From 01 Apr. 2022, To 31 Mar. 2023
          Forefront of Mathematics and Mathematical Science I
          4138, Spring, Faculty of Science, 2
        • From 01 Apr. 2022, To 31 Mar. 2023
          Seminar on Algebraic Geometry c
          0432, Spring, Graduate School of Science, 3
        • From 01 Apr. 2022, To 31 Mar. 2023
          Linear Algebra with Exercises A
          N151, Spring, Institute for Liberal Arts and Sciences, 3
        • From 01 Apr. 2022, To 31 Mar. 2023
          Seminar on Algebra a
          0466, Spring, Graduate School of Science, 3
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          Seminar on Algebraic Geometry a
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          Seminar on Algebraic Geometry A
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          Seminar on Algebra a
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