TAKAGI Shunsuke 高木俊輔

… Alternative Names

高木俊介タカギシュンスケ

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Researcher Number	40380670
Other IDs
Affiliation (Current)	2025: 東京大学, 大学院数理科学研究科, 教授
Affiliation (based on the past Project Information) *help	2018 – 2025: 東京大学, 大学院数理科学研究科, 教授 2016 – 2017: 東京大学, 大学院数理科学研究科, 准教授 2015: 東京大学, 数理科学研究科, 准教授 2011 – 2015: 東京大学, 数理(科)学研究科(研究院), 准教授 2014: 東京大学, 大学院数理科学研究科, 准教授 … More 2012 – 2013: 東京大学, 大学院・数理科学研究科, 准教授 2010: 九州大学, 大学院・理学研究科, 准教授 2010: 東京大学, 大学院・数理科学研究科, 准教授 2007 – 2010: Kyushu University, 大学院・数理学研究院, 特任准教授 2007: Kyushu University, Faculty of Mathematics, Research Associate Professor 2006: 九州大学, 大学院数理学研究院, 特任助教授 2006: 九州大学, 大学院数理研究院, 特任助教授 2005: 九州大学, 大学院数理学研究院, 助手 2004 – 2005: 九州大学, 大学院・数理学研究院, 助手 Less
Review Section/Research Field	Principal Investigator Algebra / Basic Section 11010:Algebra-related Except Principal Investigator Algebra / Broad Section B / Medium-sized Section 11:Algebra, geometry, and related fields / Basic analysis / Geometry
Keywords	Principal Investigator 代数幾何学 / 可換環論 / F特異点 / 特異点 / 判定イデアル / 乗数イデアル / F正則特異点 / ファノ多様体 / F純特異点 / 特異点論 … More / 密着閉包 / 正標数 / 特異点の変形 / 数値的Q-Gorenstein / 大域的F正則多様体 / 混標数 / 純射 / 川又対数端末型特異点 / 巨大Cohen-Macaulay代数 / 一般元 / 単射性定理 / 消滅定理 / 大域的F正則型多様体 / 秋月・中野の消滅定理 / 大域的F分裂多様体 / 対数端末特異点 / 対数標準特異点 / 対数標準的特異点 / Q-Gorenstein / 付置論的対数標準特異点 / 付置論的対数端末特異点 / 変形 / 極小モデル理論 / 一般超平面切断 / 対数的端末特異点 / 標準特異点 / 局所コホモロジー / 対数的標準特異点 / Calabi-Yau多様体 / フロベニウス分裂 / 乗数イデアル層 / 代数幾何 / WO有理特異点 / 対数的Fano多様体 / Fano型多様体 … More Except Principal Investigator F-threshold / 特異点 / 有理特異点 / rational singularity / 重複度 / 複素力学系 / 自己同型群 / 力学次数 / 代数多様体 / totally reflexive module / F-rational ring / tight closure / トーリック多様体 / 有理曲線 / multiplier ideal / jet scheme / jumping number / 整閉包 / 乗数イデアル / Frobenius写像 / 可換環論 / 特異点論 / 代数学 / 暗号・符号理論 / 識別AIと識別超平面配置 / Solomon-寺尾理論 / 対数的ベクトル場 / 超平面配置 / 捻じれ斉次座標環 / 代数多様体の実形式 / 自己写像力学次数 / 有限生成性 / 非可換代数幾何学 / 力学次数とエントロピー / Slow dynamics / 自己射のエントロピー / 実形式の非有限性 / 有理曲面 / カラビヤウ多様体 / 実形式 / 双有理代数幾何学 / 実形式と錐予想 / 数論力学系 / カラビヤウ多様体と錐予想 / 双有理自己同型群 / 代数力学系 / 双有理変換群 / 単有理多様体 / 超ケーラー多様体 / 代数多様体の自己射 / 原始的自己写像 / 自己同型 / 有理多様体 / カラビ・ヤウ多様体 / 双有理変換 / ダイナミカル次数 / 双有理自己射 / 台数多様体 / 非有限生成性 / 自己射 / ワイルドな自己同型 / 代数多様体の自己同型群 / 複素代数多様体の実形式 / 離散的自己同型群の有限生成性 / エンリケス曲面 / エントロピー / 原始的自己同型 / 多元非可換変形 / 例外対象 / マッカイ対応 / 極小モデル理論 / アバンダンス予想 / 単射性定理 / 半正値性定理 / 単純組 / 偏屈連接層 / 壁超え / 安定性条件 / 標準因子 / 障害 / 普遍族 / A無限大構造 / 相対的例外対象列 / 極小モデル / 重みつき射影空間 / 単純列 / 半直交分解 / フロップ / 双有理幾何学 / 非可換変形 / 連接層 / 導来圏 / Cohen-Macaulay ring / special CM module / simple singularity / Cohen-Macaulay / 単純特異点 / Ulrich イデアル / Ulrich 加群 / McKay correspondence / Ulrich ideal / Ulrich module / multiplicity / integral closure / Frobenius endomorphism / F-正則対 / 整閉イデアル / F-pure threshold / jumping coefficient / 標数p>0の手法 / F-regular ring / totally reflexive加群 / Hilbert-Kunz重複度 / F-有理環 / holomorphic line bundle / Asymptotic expansion / toric variety / domains of finite type / Szegoe kernel / Peak functions / Singularity theory / Bergman kernel / Toric多様体 / δ^^--Neumann問題 / Toric多様性 / Painleve方程式 / Peaking functions / ∂-Neumann問題 / パンルベ方程式 / ∂^^--ノイマン問題 / ベルグマン核 / 正則線束 / 一般超幾何関数 / Peak関数 / 正則直線束 / 漸近展開 / 有限型領域 / Szegoe核 / ピーク関数 / Bergman核 / 半群環 / 一般化された test ideal / F-rational / F-pure / a 不変量 / Hilbert-Kunz 重複度 / F-pure rings / 環論 / レフシェッツの超平面切断 / ﾚﾌｼｪｯﾂの超平面切断 / レフシェッツの超平面切断研究分野 / コニック束 / ファノ多様体 / 単有理性 / graded ring / log-canonical singularity / arc space / Frobenius 射 / discrepancy / 食い違い数 / ジェットスキーム / singularities / 極小対数的食い違い数 / 弧空間 / 代数幾何 / lc threshold / coefficient ideal / Gorenstein環 / a-invariant / test ideal / 次数付環 / 正標数の手法 / 代数幾何学 / 幾何学 / ホッジ計量 / 退化族 / 乗数イデアル層 / 多重標準束 Less

Developments of theory of hyperplane arrangements and application to black box of AI
- Principal Investigator
  
  阿部拓郎
- Project Period (FY)
  2025 – 2029
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Review Section
  
  Broad Section B
- Research Institution
  Rikkyo University
Singularity theory in mixed characteristic and its applications to the theory of F-singularities and birational geometryPrincipal Investigator
- Principal Investigator
  
  高木俊輔
- Project Period (FY)
  2022 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  The University of Tokyo
代数多様体の自己写像に関する多角的研究
- Principal Investigator
  
  小木曽啓示
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Review Section
  
  Medium-sized Section 11:Algebra, geometry, and related fields
- Research Institution
  The University of Tokyo
A study of general members of linear systems via the theory of F-singularitiesPrincipal Investigator
- Principal Investigator
  
  Takagi Shunsuke
- Project Period (FY)
  2017 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
F-singularities and singularities in birational geometry in characteristic zero(Fostering Joint International Research)Principal Investigator
- Principal Investigator
  
  Takagi Shunsuke
- Project Period (FY)
  2016 – 2018
- Research Category
  
  Fund for the Promotion of Joint International Research (Fostering Joint International Research)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
Birational geometry of higher dimensional algebraic varieties
- Principal Investigator
  
  Kawamata Yujiro
- Project Period (FY)
  2016 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
Several aspects of birational automorphisms of algebraic varieties
- Principal Investigator
  
  Oguiso Keiji
- Project Period (FY)
  2015 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
  Osaka University
F-singularities and singularities in birational geometry in characteristic zeroPrincipal Investigator
- Principal Investigator
  
  Takagi Shunsuke
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
Maximal Cohen-Macaulay modules over singularities of positive characteristic
- Principal Investigator
  
  YOSHIDA Ken-ichi
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nihon University
Commutative Ring Theory of Singularities of Algebraic Varieties
- Principal Investigator
  
  WATANABE Kei-ichi
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nihon University
Applications of Frobenius splitting to algebraic geometryPrincipal Investigator
- Principal Investigator
  
  TAKAGI Shunsuke
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
Singularities on algebraic varieties
- Principal Investigator
  
  ISHII Shihoko
- Project Period (FY)
  2010 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
On families of rational curves and Fano varieties.
- Principal Investigator
  
  SATO Eiichi
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kyushu University
Characteristic p method in singularity theory
- Principal Investigator
  
  WATANABE Keichi
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nihon University
A study on adjoint ideal sheaves by characteristic p methodsPrincipal Investigator
- Principal Investigator
  
  TAKAGI Shunsuke
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Kyushu University
Research on pluricanonical bundles and multiplier ideal sheaves for a degenerate family of complex manifolds
- Principal Investigator
  
  TAKAYAMA Shigeharu
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo
可換環論的手法による代数多様体の特異点の研究Principal Investigator
- Principal Investigator
  
  高木俊輔
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Kyushu University
Singurality Theory and Frobenius Morphism
- Principal Investigator
  
  WATANABE Keiichi
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nihon University
Complex analysis of L holomorphic functions on pseudoconvex domains of finite type
- Principal Investigator
  
  KAMIMOTO Joe
- Project Period (FY)
  2002 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  KYUSHU UNIVERSITY

[Journal Article] Deformations of log terminal and semi log canonical singularities2023
- Author(s)
  Kenta Sato and Shunsuke Takagi
- Journal Title
  
  Forum of Mathematics, Sigma
  
  Volume: 11 Pages: 1-34
- DOI
  10.1017/fms.2023.28
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17H02831, KAKENHI-PROJECT-20K14303, KAKENHI-PROJECT-23K22383
[Journal Article] General hyperplane sections of threefolds in positive characteristic2019
- Author(s)
  Kenta Sato and Shunsuke Takagi
- Journal Title
  
  Journal of the Institute of Mathematics of Jussieu
  
  Volume: in press
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15KK0152
[Journal Article] Finitistic test ideals on numerically Q-Gorenstein varieties2018
- Author(s)
  Shunsuke Takagi
- Journal Title
  
  J. Algebra
  
  Volume: 印刷中 Pages: 266-279
- DOI
  10.1016/j.jalgebra.2018.08.003
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H02141, KAKENHI-PROJECT-15KK0152, KAKENHI-PROJECT-17H02831, KAKENHI-PROJECT-20H00111
[Journal Article] General hyperplane sections of threefolds in positive characteristic2018
- Author(s)
  Kenta Sato and Shunsuke Takagi
- Journal Title
  
  Journal of the Institute of Mathematics of Jussieu
  
  Volume: 印刷中 Issue: 2 Pages: 647-661
- DOI
  10.1017/s1474748018000166
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15KK0152, KAKENHI-PROJECT-17J04317, KAKENHI-PROJECT-16H02141, KAKENHI-PROJECT-17H02831
[Journal Article] Kollar’s injectivity theorem for globally F-regular varieties2018
- Author(s)
  Gongyo Yoshinori、Takagi Shunsuke
- Journal Title
  
  European Journal of Mathematics
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H02141
[Journal Article] F-singularities: applications of characteristic p methods to singularity theory2018
- Author(s)
  Shunsuke Takagi, Kei-ichi Watanabe
- Journal Title
  
  Sugaku Expositions
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400039
[Journal Article] F-singularities: applications of characteristic p methods to singularity theory2018
- Author(s)
  Shunsuke Takagi and Kei-ichi Watanabe
- Journal Title
  
  Sugaku Expositions
  
  Volume: 印刷中
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400039
[Journal Article] F-singularities: applications of characteristic p methods to singularity theory2018
- Author(s)
  Shunsuke Takagi and Kei-ichi Watanabe
- Journal Title
  
  Sugaku Expositions
  
  Volume: 31 Issue: 1 Pages: 1-42
- DOI
  10.1090/suga/427
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17H02831
[Journal Article] Koll\'ar’s injectivity theorem for globally F-regular varieties2018
- Author(s)
  Gongyo Yoshinori、Takagi Shunsuke
- Journal Title
  
  European Journal of Mathematics
  
  Volume: 印刷中 Issue: 3 Pages: 872-880
- DOI
  10.1007/s40879-018-0230-4
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26707002, KAKENHI-PROJECT-19KK0345, KAKENHI-PROJECT-17H02831, KAKENHI-PROJECT-18H01108
[Journal Article] Nilpotence of Frobenius action and the Hodge filtration on local cohomology2017
- Author(s)
  Vasudevan Srinivas and Shunsuke Takagi
- Journal Title
  
  Adv. Math.
  
  Volume: 305 Pages: 456-478
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H02141
[Journal Article] Nilpotence of Frobenius action and the Hodge filtration on local cohomology2017
- Author(s)
  Vasudevan Srinivas, Shunsuke Takagi
- Journal Title
  
  Advances in Mathematics
  
  Volume: 305 Pages: 456-478
- DOI
  10.1016/j.aim.2016.09.029
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400039
[Journal Article] A Gorenstein criterion for strongly F-regular and log terminal singularities2017
- Author(s)
  Anurag Singh, Shunsuke Takagi, Matteo Varbaro
- Journal Title
  
  International Mathematics Research Notices
  
  Volume: 印刷中 Pages: rnw195-rnw195
- DOI
  10.1093/imrn/rnw195
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400039
[Journal Article] The weak ordinarity conjecture and F-singularities2017
- Author(s)
  Bhargav Bhatt, Karl Schwede, Shunsuke Takagi
- Journal Title
  
  Advanced Studies in Pure Mathematics
  
  Volume: 印刷中
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400039
[Journal Article] A Gorenstein criterion for strongly F-regular and log terminal singularities2017
- Author(s)
  Anurag Singh, Shunsuke Takagi and Matteo Varbaro
- Journal Title
  
  International Mathematics Research Notices
  
  Volume: 2017 Pages: 6484-6522
- DOI
  10.1093/imrn/rnw290
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02831
[Journal Article] On the relationship between depth and cohomological dimension2016
- Author(s)
  Hailong Dao, Shunsuke Takagi
- Journal Title
  
  Compositio Mathematica
  
  Volume: 152 Issue: 4 Pages: 876-888
- DOI
  10.1112/s0010437x15007678
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400039
[Journal Article] Surface of globally F-regular and F-split type2016
- Author(s)
  Yoshinori Gongyo and Shunsuke Takagi
- Journal Title
  
  Math. Ann.
  
  Volume: 364 Pages: 841-855
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H02141
[Journal Article] Surfaces of globally F-regular and F-split type2016
- Author(s)
  Yoshinori Gongyo, Shunsuke Takagi
- Journal Title
  
  Mathematische Annalen
  
  Volume: 364 Issue: 3-4 Pages: 841-855
- DOI
  10.1007/s00208-015-1238-4
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400039, KAKENHI-PROJECT-26707002
[Journal Article] The weak ordinarity conjecture and F-singularities2016
- Author(s)
  Bhargav Bhatt, Karl Schwede, Shunsuke Takagi
- Journal Title
  
  Advanced Studies in Pure Mathematics
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400039
[Journal Article] On the relationship between depth and cohomological dimension2016
- Author(s)
  Hailong Dao and Shunsuke Takagi
- Journal Title
  
  Compos. Math.
  
  Volume: 152 Pages: 876-888
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H02141
[Journal Article] The weak ordinarity conjecture and F-singularities2015
- Author(s)
  Bhargav Bhatt, Karl Schwede and Shunsuke Takagi
- Journal Title
  
  Advanced Studies in Pure Mathematics
  
  Volume: 印刷中
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400039
[Journal Article] Comparing multiplier ideals to test ideals on numerically Q-Gorenstein varieties2015
- Author(s)
  Tommaso de Fernex, Roi Docampo, Shunsuke Takagi and Kevin Tucker
- Journal Title
  
  Bull. London Math. Soc.
  
  Volume: 47 Issue: 2 Pages: 359-369
- DOI
  10.1112/blms/bdv006
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400039
[Journal Article] F特異点-正標数の手法の特異点論への応用-2014
- Author(s)
  高木俊輔,渡辺敬一
- Journal Title
  
  日本数学会『数学』
  
  Volume: 66, no.1 Pages: 1-30
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740024
[Journal Article] F特異点--正標数の手法の特異点論への応用2014
- Author(s)
  高木俊輔・渡辺敬一
- Journal Title
  
  「数学」(日本数学会)
  
  Volume: 66巻 Pages: 1-30
- NAID
  130006882583
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540059
[Journal Article] Characterization of varieties of Fano type via singularities of Cox rings2014
- Author(s)
  Yoshinori Gongyo, Shinnosuke Okawa, Akiyoshi Sannai and Shunsuke Takagi
- Journal Title
  
  Journal of Algebraic Geometry
  
  Volume: (in press)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740024
[Journal Article] A subadditivity formula for multiplier ideals associated to log pairs2013
- Author(s)
  Takagi Shunsuke
- Journal Title
  
  Proc. Amer. Math. Soc.
  
  Volume: 141(1) Pages: 93-102
- URL
  http://www.ams.org/mathscinet/
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540050
[Journal Article] On the F-purity of isolated log canonical singularities2013
- Author(s)
  Osamu Fujino and Shunsuke Takagi
- Journal Title
  
  Compositio Mathematica
  
  Volume: 149, no.9 Pages: 1495-1510
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740024
[Journal Article] Adjoint ideals and a correspondence between log canonicity and F-purity2013
- Author(s)
  Shunsuke Takagi
- Journal Title
  
  Algebra and Number Theory
  
  Volume: 7 Issue: 1 Pages: 917-942
- DOI
  10.1090/s0002-9939-2012-11368-1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740024
[Journal Article] Characterization of varieties of Fano type via singularities of Cox rings2013
- Author(s)
  Yoshinori Gongyo, Shinnosuke Okawa, Akiyoshi Sannai and Shunsuke Takagi
- Journal Title
  
  Journal of Algebraic Geometry
  
  Volume: in press
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740024
[Journal Article] Subadditivity formula for multiplier ideals associated to log pairs2013
- Author(s)
  Shunsuke Takagi
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 141 Pages: 93-102
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740024
[Journal Article] Adjoint ideals and a correspondence between log canonicity and F-purity2013
- Author(s)
  Shunsuke Takagi
- Journal Title
  
  Algebra & Number Theory
  
  Volume: 7 Pages: 917-942
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740024
[Journal Article] Subadditivity formula for multiplier ideals associated to log pairs2012
- Author(s)
  Shunsuke Takagi
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 掲載確定済
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740024
[Journal Article] Multiplicity bounds in graded ring2011
- Author(s)
  C.Huneke, S.Takagi, K.Watanabe
- Journal Title
  
  Kyoto J.math.
  
  Volume: 51 Pages: 127-147
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340004
[Journal Article] Multiplicity bounds in graded rings.2011
- Author(s)
  Huneke Craig, Takagi Shunsuke,Watanabe Kei-ichi
- Journal Title
  
  Kyoto J. Math.
  
  Volume: 51(1) Pages: 127-147
- URL
  http://www.ams.org/mathscinet/
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540050
[Journal Article] Supplements to non-lc ideal sheaves2011
- Author(s)
  Osamu Fujino, Karl Schwede, Shunsuke Takagi
- Journal Title
  
  RIMS Kokyuroku Bessatsu In Press
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740019
[Journal Article] Multiplicity bounds in graded rings2011
- Author(s)
  Craig Huneke, S. Takagi, Kei-ichi Watanabe
- Journal Title
  
  Kyoto Journal of Mathematics
  
  Volume: vol.51 Pages: 127-147
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540059
[Journal Article] Multiplicity bounds in graded rings2011
- Author(s)
  Craig Huneke, Shunsuke Takagi, Kei-ichi Watanabe
- Journal Title
  
  Kyoto Journal of Mathematics 51
  
  Pages: 127-147
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740019
[Journal Article] Multiplicity bounds in graded rings2011
- Author(s)
  Craig Huneke, Shunsuke Takagi, Kei-ichi Watanabe
- Journal Title
  
  Kyoto Journal of Mathematics
  
  Volume: 51 Pages: 127-147
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740019
[Journal Article] Multiplicity bounds in graded rings2011
- Author(s)
  C.Huneke-S.Takagi-K.Watanabe
- Journal Title
  
  Kyoto Journal of Mathematics
  
  Volume: 51 Pages: 127-147
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540050
[Journal Article] Supplements to non-lc ideal sheaves2011
- Author(s)
  Osamu Fujino, Karl Schwede, Shunsuke Takagi
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: (In Press)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740019
[Journal Article] Multiplicity bounds in graded rings, Kyoto Journal of Mathematics2011
- Author(s)
  C. Huneke, S. Takagi, K. Watanabe
- Journal Title
  
  Kyoto Journal of Mathematics
  
  Volume: 51 Pages: 127-147
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540059
[Journal Article] Supplements to non-lc ideal sheaves2011
- Author(s)
  O.Fujino, K.Schwede, S.Takagi
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B24 Pages: 1-46
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340004
[Journal Article] Multiplicity bounds in graded rings2011
- Author(s)
  C.Huneke, S.Takagi, K.Watanabe
- Journal Title
  
  Kyoto Journal of Mathematics vol.51, No.1
  
  Pages: 127-147
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540050
[Journal Article] Adjoint ideals along closed subvarieties of higher codimension2010
- Author(s)
  Takagi S.
- Journal Title
  
  J. Reine Angew. Math
  
  Volume: 641 Pages: 145-162
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340014
[Journal Article] Discreteness and rationality of F-jumping numbers on singular varieties2010
- Author(s)
  Manuel Buckle, Karl Schwede, Shunsuke Takagi, Wenliang Zhang
- Journal Title
  
  Mathematische Annalen (In Press)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740019
[Journal Article] Adjoint ideals along closed subvarieties of higher codimension2010
- Author(s)
  Shunsuke Takagi
- Journal Title
  
  Journal fur die reine und angewandte Mathematik
  
  Volume: 641 Pages: 145-162
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740019
[Journal Article] Discreteness and rationality of F-jumping numbers on singular varieties2010
- Author(s)
  Manuel Blickle, Karl Schwede, Shunsuke Takagi, Wenliang Zhang
- Journal Title
  
  347
  
  Pages: 917-949
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740019
[Journal Article] Adjoint ideals along closed subvarieties of higher codimension2010
- Author(s)
  Shunsuke Takagi
- Journal Title
  
  Journal furdie reine und angewandte Mathematik 641
  
  Pages: 145-162
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740019
[Journal Article] Adjoint ideals along closed subvarieties of higher codimension2010
- Author(s)
  Shunsuke Takagi
- Journal Title
  
  Journal fur die reine und angewandte Mathematik (In Press)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740019
[Journal Article] Discreteness and rationality of F-jumping numbers on singular varieties2010
- Author(s)
  Manuel Blickle, Karl Schwede, Shunsuke Takagi, Wenliang Zhang
- Journal Title
  
  Mathematische Annalen
  
  Volume: 347 Pages: 917-949
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740019
[Journal Article] Adjoint ideals along closed subvarieties of higher codimension2009
- Author(s)
  Shunsuke Takagi
- Journal Title
  
  Journal fur die reine and angewandte Mathematik (In Press)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740019
[Journal Article] D-modules over rings with finite F-representation type2008
- Author(s)
  Shunsuke, Takagi・Ryo, Takahashi
- Journal Title
  
  Mathematical Research Letters (In press)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17740021
[Journal Article] F-thresholds, tight closure, integral closure, and multiplicity bounds2008
- Author(s)
  Craig, Huneke・Mircea, Mustata・Shunsuke, Takagi・Kei-ichi, Watanabe
- Journal Title
  
  Michigan Mathematical Journal (In press)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17740021
[Journal Article] F-thresholds, tight closure, integral closure, and multiplicity bounds2008
- Author(s)
  C.Huneke, M.Mustata, S Takagi, K.Watanabe
- Journal Title
  
  Michigan Math.J. vol.57
  
  Pages: 463-483
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540050
[Journal Article] F-thresholds, tight closure, integral closure, and multiplicity bounds2008
- Author(s)
  C., Huneke, M., Mustata, S., Takagi, K., Watanabe
- Journal Title
  
  Michigan Mathematical Journal (to appear in)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540043
[Journal Article] Generalized test ideals and symbolic powers.2008
- Author(s)
  S, Takagi, K. Yoshida
- Journal Title
  
  Michigan Math. J. 57
  
  Pages: 711-724
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540050
[Journal Article] Generalized test ideals and Symbolic powers2008
- Author(s)
  Shunsuke, Takagi・Ken-ichi, Yoshida
- Journal Title
  
  Michigan Mathematical Journal (In press)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17740021
[Journal Article] Generalized test ideals and symbolic powers2008
- Author(s)
  S.Takagi, K.Yoshida
- Journal Title
  
  Michigan Math.J. vol.57
  
  Pages: 711-724
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540050
[Journal Article] A characteristic p analogue of plt singularities and adjoint ideals2008
- Author(s)
  Takagi S.
- Journal Title
  
  Math. Z
  
  Volume: 259 Pages: 321-341
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340014
[Journal Article] F-thresholds, tight closure, integral closure, and multiplicity bounds,2008
- Author(s)
  C. Huneke, M. Mustata, S. Takagi), K. Watanabe
- Journal Title
  
  Michigan Math. J To appear
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540043
[Journal Article] F-thresholds,tight closure,integral closure,and multiplicity bounds2008
- Author(s)
  C. Huneke, M. Mustata S. Takagi, K. Watanabe
- Journal Title
  
  Michigan Math.J. (印刷中)
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540043
[Journal Article] F-thresholds, tight closure, integral closure, and multiplicity bounds2008
- Author(s)
  C. Huneke. M. Mustata, S, Takagi, K. Watanabe
- Journal Title
  
  Michigan Math. J. 57
  
  Pages: 463-483
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540050
[Journal Article] A characteristic p analogue of plt singularities and adjoint ideals2008
- Author(s)
  Shunsuke, Takagi
- Journal Title
  
  Mathematische Zeitschrift (In press)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17740021
[Journal Article] A characteristic p analogue of plt singularities and adjoint ideals2008
- Author(s)
  S. Takagi
- Journal Title
  
  Mathematical Zeitschrift To appear
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540043
[Journal Article] Formulas for multiplier ideals on singular varieties,2006
- Author(s)
  S.Takagi
- Journal Title
  
  American Journal of Mathematics 128
  
  Pages: 1345-1362
- Data Source
  KAKENHI-PROJECT-17540043
[Journal Article] Formulas for multiplier ideals on singular varieties2006
- Author(s)
  Shunsuke Takagi
- Journal Title
  
  American Journal of Mathematics 128
  
  Pages: 1345-1362
- Data Source
  KAKENHI-PROJECT-17740021
[Journal Article] Formulas for multiplier ideals on singular varieties2006
- Author(s)
  Shunsuke, Takagi
- Journal Title
  
  Amer. J. Math 128, 6
  
  Pages: 1345-1362
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540043
[Journal Article] F-thresholds and Berstein-Sato polynomials,2005
- Author(s)
  M.Mustata, S.Takagi, K.Watanabe
- Journal Title
  
  Proc.4ECM Stockholm 2004
  
  Pages: 341-364
- Data Source
  KAKENHI-PROJECT-17540043
[Journal Article] F-thresholds and Bernstein-Sato polynomials2005
- Author(s)
  M.Mustata, S Takagi, K.Watanabe
- Journal Title
  
  European Congress of Math.Eur.Math.Soc.Zuerich
  
  Pages: 341-365
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340048
[Journal Article] $F$-thresholds and Bernstein-Sato polynomials2005
- Author(s)
  M.Mustata, S.Takagi, K.Watanabe
- Journal Title
  
  European Congress of Mathematics, Eur.Math.Soc., Zurich,
  
  Pages: 341-365
- Data Source
  KAKENHI-PROJECT-14340048
[Journal Article] On a generalization of test ideals2004
- Author(s)
  Hara, Takagi
- Journal Title
  
  Nagoya Math.J. 175
  
  Pages: 59-74
- Data Source
  KAKENHI-PROJECT-14340048
[Journal Article] An interpretation of multiplier ideals via tight closure2004
- Author(s)
  Shunsuke Takagi
- Journal Title
  
  J.Algebraic Geom. 13
  
  Pages: 393-415
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340048
[Journal Article] On a generalization of test ideals2004
- Author(s)
  Nobuo Hara, Shunsuke Takagi
- Journal Title
  
  Nagoya Math.J 175
  
  Pages: 59-74
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340048
[Journal Article] On F-pure thresholds2004
- Author(s)
  Takagi, Watanabe
- Journal Title
  
  J.Algebra 282
  
  Pages: 278-297
- Data Source
  KAKENHI-PROJECT-14340048
[Journal Article] On a generalization of test ideals2004
- Author(s)
  Nobuo Hara, Shunsuke Takagi
- Journal Title
  
  Nagoya Math.J. 175
  
  Pages: 59-74
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340048
[Journal Article] On F-pure threshold2004
- Author(s)
  Shunsuke Takagi, Kei-ichi Watanabe
- Journal Title
  
  J.Algebra 282
  
  Pages: 278-297
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340048
[Journal Article] On F-pure threshold2004
- Author(s)
  Shunsuke, Takagi, Kei-ichi Watanabe
- Journal Title
  
  J.Algebra 282
  
  Pages: 278-297
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340048
[Journal Article] Formulas for multiplier ideals on singular varieties,
- Author(s)
  Shunsuke Takagi
- Journal Title
  
  American J.of Mathematics (To appear)
- Data Source
  KAKENHI-PROJECT-17540043
[Journal Article] Formulas for multiplier ideals on singular varieties
- Author(s)
  Shunsuke Takagi
- Journal Title
  
  American Journal of Mathematics (In press)
- Data Source
  KAKENHI-PROJECT-17740021
[Presentation] Pure subrings of KLT singularities and BCM test ideals2023
- Author(s)
  Shunsuke Takagi
- Organizer
  Resolutions in Local Algebra and Singularity Theory
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02831
[Presentation] Pure subrings of KLT singularities and BCM test ideals2023
- Author(s)
  Shunsuke Takagi
- Organizer
  Resolutions in Local Algebra and Singularity Theory
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K22383
[Presentation] Behavior of multiplier ideals under pure morphisms2023
- Author(s)
  Shunsuke Takagi
- Organizer
  FRG Special Month in Ann Arbor
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K22383
[Presentation] 正則有限被覆を持つ特異点の因子類群について2022
- Author(s)
  高木俊輔
- Organizer
  可換環論の新しい融合セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17H02831
[Presentation] 対数端末特異点と対数標準特異点の変形について2022
- Author(s)
  高木俊輔
- Organizer
  名古屋大学代数幾何学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17H02831
[Presentation] 巨大なCohen-Macaulay代数と代数多様体の特異点2022
- Author(s)
  高木俊輔
- Organizer
  名古屋大学多元数理科学研究科談話会
- Invited
- Data Source
  KAKENHI-PROJECT-23K22383
[Presentation] Deformations of F-pure and F-regular singularities2021
- Author(s)
  Shunsuke Takagi
- Organizer
  Zoom Algebraic Geometry Seminar
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02831
[Presentation] Kodaira vanishing for thickenings of globally F-regular varieties2021
- Author(s)
  Shunsuke Takagi
- Organizer
  IIT Bombay Virtual Commutative Algebra Seminar
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02831
[Presentation] Arithmetic deformations of F-singularities2021
- Author(s)
  Shunsuke Takagi
- Organizer
  MSRI Fellowship of the Ring, National Seminar
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02831
[Presentation] Arithmetic deformations of F-pure singularities2021
- Author(s)
  Shunsuke Takagi
- Organizer
  OIST Workshop ”Quantum Math, Singularities and Applications”
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02831
[Presentation] On vanishing theorems for Frobenius split varieties in positive characteristic2020
- Author(s)
  Shunsuke Takagi
- Organizer
  Joint Tokyo/Kyoto Algebraic Geometry Seminar
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02831
[Presentation] F-singularities and singularities in birational geometry I, II2020
- Author(s)
  Shunsuke Takagi
- Organizer
  IIT Bombay Virtual Commutative Algebra Seminar
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02831
[Presentation] Kodaira vanishing for thickenings of globally F-regular threefolds2019
- Author(s)
  Shunsuke Takagi
- Organizer
  第41回可換環論シンポジウム
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02831
[Presentation] 代数多様体の特異点論と正標数の手法2019
- Author(s)
  高木俊輔
- Organizer
  日本数学会2019年度年会（招待講演）
- Invited
- Data Source
  KAKENHI-PROJECT-17H02831
[Presentation] On threefolds of globally F-regular type2019
- Author(s)
  Shunsuke Takagi
- Organizer
  AMS Spring Central and Western Sectional Meeting, Special Session on Commutative Algebra and its Environs
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15KK0152
[Presentation] On threefolds of globally F-regular type2019
- Author(s)
  Shunsuke Takagi
- Organizer
  AMS Spring Central and Western Sectional Meeting, Special Session on Commutative Algebra and its Environs
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02831
[Presentation] Test ideals on numerically Q-Gorenstein rings2019
- Author(s)
  Shunsuke Takagi
- Organizer
  Singularities and Homological Aspects of Commutative Algebra
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02831
[Presentation] 代数多様体の特異点論と正標数の手法2019
- Author(s)
  高木俊輔
- Organizer
  日本数学会2019年度年会
- Invited
- Data Source
  KAKENHI-PROJECT-15KK0152
[Presentation] Weak Akizuki-Nakano vanishing for globally F-split 3-folds2019
- Author(s)
  Shunsuke Takagi
- Organizer
  Tokyo-Seoul Conference in Mathematics 2019 -Algebraic Geometry-
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02831
[Presentation] Vanishing theorems on globally F-regular varieties2019
- Author(s)
  Shunsuke Takagi
- Organizer
  Special Conference on Commutative Algebra and its Interaction with Algebraic Geometry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02831
[Presentation] General hyperplane sections of threefolds in positive characteristic2018
- Author(s)
  Shunsuke Takagi
- Organizer
  Pure Maths Colloquium, University of Sheffield
- Invited
- Data Source
  KAKENHI-PROJECT-15KK0152
[Presentation] Vanishing theorems on globally F-regular varieties2018
- Author(s)
  Shunsuke Takagi
- Organizer
  Positivity in Algebraic Geometry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02831
[Presentation] General hyperplane sections of threefolds in positive characteristic2018
- Author(s)
  高木俊輔
- Organizer
  第4回杜の都代数幾何学研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-17H02831
[Presentation] Vanishing theorems on globally F-regular varieties2018
- Author(s)
  Shunsuke Takagi
- Organizer
  Algebraic Geometry Seminar, University of Cambridge
- Invited
- Data Source
  KAKENHI-PROJECT-15KK0152
[Presentation] Finitistic test ideals on numerically Q-Gorenstein varieties2018
- Author(s)
  高木俊輔
- Organizer
  第30回可換環論セミナー
- Data Source
  KAKENHI-PROJECT-17H02831
[Presentation] General hyperplane sections of threefolds in positive characteristic2017
- Author(s)
  Shunsuke Takagi
- Organizer
  The London Geometry and Topology Seminar
- Invited
- Data Source
  KAKENHI-PROJECT-15KK0152
[Presentation] 正標数の可換環論におけるフロべニウス射を用いた手法2017
- Author(s)
  高木俊輔
- Organizer
  可換環論と数論幾何の新展開～ホモロジカル予想を通じて～
- Invited
- Data Source
  KAKENHI-PROJECT-17H02831
[Presentation] On F-pure thresholds2017
- Author(s)
  Shunsuke Takagi
- Organizer
  Commutative Algebra and Related Topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02831
[Presentation] General hyperplane sections of canonical 3-folds in positive characteristic2016
- Author(s)
  Shunsuke Takagi
- Organizer
  Higher Dimensional Birational Geometry and Characteristic p > 0
- Place of Presentation
  Centre International de Rencontres Mathematiques
- Year and Date
  2016-09-15
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400039
[Presentation] A Gorenstein criterion for strongly Fregular and log terminal singularities2016
- Author(s)
  高木俊輔
- Organizer
  都の西北代数幾何学シンポジウム
- Place of Presentation
  早稲田大学
- Year and Date
  2016-11-16
- Invited
- Data Source
  KAKENHI-PROJECT-26400039
[Presentation] F-singularities and singularities in birational geometry2016
- Author(s)
  Shunsuke Takagi
- Organizer
  Differential forms in algebraic geometry
- Place of Presentation
  University of Freiburg
- Year and Date
  2016-09-19
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400039
[Presentation] A Gorenstein criterion for strongly Fregular rings2016
- Author(s)
  Shunsuke Takagi
- Organizer
  Commutative Algebra and its Interactions with Algebraic Geometry
- Place of Presentation
  University of Michigan
- Year and Date
  2016-07-10
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400039
[Presentation] A Gorenstein criterion for strongly F-regular and log terminal singularities2016
- Author(s)
  Shunsuke Takagi
- Organizer
  Beijing Algebraic Geometry Colloquium 5th meeting
- Place of Presentation
  Beijing International Center for Mathematical Research
- Year and Date
  2016-04-09
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400039
[Presentation] F特異点と3次元準射影多様体の一般の超平面切断2016
- Author(s)
  高木俊輔
- Organizer
  広島大学理学部数学科談話会
- Place of Presentation
  広島大学
- Year and Date
  2016-10-25
- Invited
- Data Source
  KAKENHI-PROJECT-26400039
[Presentation] Vanishing of local cohomology and local Picard groups2015
- Author(s)
  Shunsuke Takagi
- Organizer
  Higher Dimensional Algebraic Geometry, 2015
- Place of Presentation
  Taiwan National University
- Year and Date
  2015-08-22
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400039
[Presentation] Vanishing of local cohomology and local Picard groups2015
- Author(s)
  高木俊輔
- Organizer
  第3回杜の都代数幾何学研究集会＠福岡
- Place of Presentation
  福岡大学
- Year and Date
  2015-11-25
- Invited
- Data Source
  KAKENHI-PROJECT-26400039
[Presentation] F-singularities and weak ordinarity conjecture2015
- Author(s)
  Shunsuke Takagi
- Organizer
  The 10th Anniversary Tokyo-Seoul Conference in Mathematics -Algebraic/Arithmetic/Complex Geometry
- Place of Presentation
  東京大学
- Year and Date
  2015-12-03
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400039
[Presentation] Frobenius action on local cohomology and the Hodge filtration2015
- Author(s)
  Shunsuke Takagi
- Organizer
  Workshop on Algebraic Geometry
- Place of Presentation
  Fudan University
- Year and Date
  2015-10-30
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400039
[Presentation] On the tautness of F-singularities2015
- Author(s)
  Shunsuke Takagi
- Organizer
  International Conference on Singularity Theory -In Honor of Henry Laufer’s 70th Birthday
- Place of Presentation
  Tsinghua Sanya International Mathematics Forum
- Year and Date
  2015-12-14
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400039
[Presentation] Frobenius action on local cohomology and the Hodge filtration2015
- Author(s)
  Shunsuke Takagi
- Organizer
  2015 Summer Research Institute on Algebraic Geometry
- Place of Presentation
  University of Utah
- Year and Date
  2015-07-17
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400039
[Presentation] Nilpotency of Frobenius and divisor class groups2014
- Author(s)
  Shunsuke Takagi
- Organizer
  FRG Special Month in Ann Arbor
- Place of Presentation
  ミシガン大学
- Year and Date
  2014-06-09
- Invited
- Data Source
  KAKENHI-PROJECT-26400039
[Presentation] F特異点論の最近の進展について2014
- Author(s)
  高木俊輔
- Organizer
  第59回代数学シンポジウム
- Place of Presentation
  東京大学
- Year and Date
  2014-09-08
- Invited
- Data Source
  KAKENHI-PROJECT-26400039
[Presentation] Frobenius action on local cohomology and the Hodge filtration2014
- Author(s)
  高木俊輔
- Organizer
  代数多様体とその周辺
- Place of Presentation
  琉球大学
- Year and Date
  2014-10-01
- Invited
- Data Source
  KAKENHI-PROJECT-26400039
[Presentation] Globally F-regular and Frobenius split surfaces2013
- Author(s)
  Shunsuke Takagi
- Organizer
  The Commutative Algebra of Singularities in Birational Geometry : Multiplier ideals, Jets, Valuations, and Positive Characteristic Methods
- Place of Presentation
  MSRI,アメリカ
- Year and Date
  2013-05-09
- Data Source
  KAKENHI-PROJECT-23740024
[Presentation] A geometric interpretation of 3-dimensional F-regular graded rings2013
- Author(s)
  Shunsuke Takagi
- Organizer
  Commutative Algebra and its Interaction with Algebraic Geometry
- Place of Presentation
  CIRM,フランス
- Year and Date
  2013-07-09
- Data Source
  KAKENHI-PROJECT-23740024
[Presentation] A correspondence between F-singularities and singularities in the minimal model program2013
- Author(s)
  Shunsuke Takagi
- Organizer
  The minimal model program in characteristic p
- Place of Presentation
  AIM,アメリカ
- Year and Date
  2013-05-02
- Data Source
  KAKENHI-PROJECT-23740024
[Presentation] A characterization of log Fano varieties via Cox rings2013
- Author(s)
  Shunsuke Takagi
- Organizer
  Special Session on Singularities in Commutative Algebra and Algebraic Geometry
- Place of Presentation
  University of Kansas,アメリカ
- Year and Date
  2013-03-31
- Data Source
  KAKENHI-PROJECT-23740024
[Presentation] F特異点と極小モデル理論に現れる特異点2013
- Author(s)
  高木俊輔
- Organizer
  2013年秋季総合分科会特別講演
- Place of Presentation
  愛媛大学
- Year and Date
  2013-09-25
- Data Source
  KAKENHI-PROJECT-23740024
[Presentation] Weak ordinarity conjecture and F-singularities2013
- Author(s)
  Shunsuke Takagi
- Organizer
  2013 Conference on Moduli and Birational Geometry
- Place of Presentation
  POSTECH,韓国
- Year and Date
  2013-08-12
- Data Source
  KAKENHI-PROJECT-23740024
[Presentation] F-singularities and a conjecture of Mustata-Srinivas2012
- Author(s)
  Shunsuke Takagi
- Organizer
  第二回若手代数複素幾何研究集会
- Place of Presentation
  佐賀大学
- Invited
- Data Source
  KAKENHI-PROJECT-23740024
[Presentation] A characterization of log Fano varieties2012
- Author(s)
  Shunsuke Takagi
- Organizer
  Arithmetic and Algebraic Geometry 2012(招待講演)
- Place of Presentation
  東京大学数理科学研究科
- Data Source
  KAKENHI-PROJECT-23740024
[Presentation] A characterization of log Fano varieties2012
- Author(s)
  高木俊輔
- Organizer
  Arithmetic and Algebraic Geometry
- Place of Presentation
  東京大学大学院数理科学研究科
- Year and Date
  2012-02-15
- Data Source
  KAKENHI-PROJECT-22540050
[Presentation] F-singularities and a conjecture of Mustata-Srinivas2012
- Author(s)
  Shunsuke Takagi
- Organizer
  第2回若手代数複素幾何研究集会
- Place of Presentation
  佐賀大学
- Year and Date
  2012-12-17
- Data Source
  KAKENHI-PROJECT-23740024
[Presentation] On the F-purity of log canonical singularities2012
- Author(s)
  Shunsuke Takagi
- Organizer
  char-p and p-adic geometry
- Place of Presentation
  Johannes Gutenberg-Universitat Mainz
- Invited
- Data Source
  KAKENHI-PROJECT-23740024
[Presentation] A characterization of log Fano varieties2012
- Author(s)
  Shunsuke Takagi
- Organizer
  Arithmetic and Algebraic Geometry 2012
- Place of Presentation
  東京大学
- Year and Date
  2012-02-15
- Data Source
  KAKENHI-PROJECT-23740024
[Presentation] On the F-purity of log canonical singularities, char-p and p-adic geometry2012
- Author(s)
  Shunsuke Takagi
- Place of Presentation
  Johannes Gutenberg-Universitat Mainz,ドイツ
- Year and Date
  2012-06-07
- Data Source
  KAKENHI-PROJECT-23740024
[Presentation] F-singularities and a conjecture of Mustata-Srinivas2012
- Author(s)
  Shunsuke Takagi
- Organizer
  第34回可換環論シンポジウム
- Place of Presentation
  IPC生産性国際交流センター
- Data Source
  KAKENHI-PROJECT-23740024
[Presentation] F-purity of isolated log canonical singular-ities2011
- Author(s)
  高木俊輔
- Organizer
  第33回可換環論シンポジウム
- Place of Presentation
  浜名湖カリアック
- Year and Date
  2011-11-10
- Data Source
  KAKENHI-PROJECT-22540050
[Presentation] On a correspondence between log canonicity and F-purity2011
- Author(s)
  Shunsuke Takagi
- Organizer
  特異点論とそのひろがり
- Place of Presentation
  京都大学
- Year and Date
  2011-08-22
- Data Source
  KAKENHI-PROJECT-23740024
[Presentation] On a correspondence between log canonicity and F-purity2011
- Author(s)
  Shunsuke Takagi
- Organizer
  特異点論とそのひろがり(招待講演)
- Place of Presentation
  京都大学理学部
- Data Source
  KAKENHI-PROJECT-23740024
[Presentation] F-purity of isolated log canonical singularities2011
- Author(s)
  Shunsuke Takagi
- Organizer
  Algebraic Geometry in East Asia, Taipei, 2011(招待講演)
- Place of Presentation
  National Taiwan University
- Data Source
  KAKENHI-PROJECT-23740024
[Presentation] 特異点論における正標数の手法2011
- Author(s)
  高木俊輔
- Organizer
  東大数理科学講演会
- Place of Presentation
  東京大学大学院数理科学研究科
- Year and Date
  2011-12-16
- Data Source
  KAKENHI-PROJECT-22540050
[Presentation] F-purity of isolated log canonical singularities2011
- Author(s)
  Shunsuke Takagi
- Organizer
  Algebraic Geometry in East Asia, Taipei, 2011
- Place of Presentation
  National Taiwan University,台湾
- Year and Date
  2011-11-18
- Data Source
  KAKENHI-PROJECT-23740024
[Presentation] On parameter F-jumping numbers2011
- Author(s)
  S.Takagi
- Organizer
  Special Session on Commutative Algebra, Joint AMS-MAA Mathematical Meetings
- Place of Presentation
  New Orleans (USA)
- Year and Date
  2011-01-07
- Data Source
  KAKENHI-PROJECT-22340004
[Presentation] On a correspondence between log canonicity and F-purity2011
- Author(s)
  Shunsuke Takagi
- Organizer
  代数幾何学城崎シンポジウム(招待講演)
- Place of Presentation
  城崎大会議館
- Data Source
  KAKENHI-PROJECT-23740024
[Presentation] F-purity of isolated log canonical singu-larities2011
- Author(s)
  Shunsuke Takagi
- Organizer
  Algebraic Geometry in East Asia,Taipei
- Place of Presentation
  National Taiwan University,Taiwan
- Year and Date
  2011-11-18
- Data Source
  KAKENHI-PROJECT-22540050
[Presentation] On a correspondence between log canonicity and F-purity2011
- Author(s)
  Shunsuke Takagi
- Organizer
  代数幾何学城崎シンポジウム
- Place of Presentation
  城崎大会議館
- Year and Date
  2011-10-25
- Data Source
  KAKENHI-PROJECT-23740024
[Presentation] Introduction to F-singularities2010
- Author(s)
  Shunsuke Takagi
- Organizer
  Algebraic Geometry Seminar
- Place of Presentation
  POSTECH.
- Year and Date
  2010-06-14
- Data Source
  KAKENHI-PROJECT-20740019
[Presentation] Multiplicities and jumping numbers2010
- Author(s)
  Shunsuke Takagi
- Organizer
  Algebraic Geometry in Characteristic p and Related Topics
- Place of Presentation
  東京大学大学院数理科学研究科
- Year and Date
  2010-02-18
- Data Source
  KAKENHI-PROJECT-20740019
[Presentation] Introduction to F-singularities2010
- Author(s)
  S.Takagi
- Organizer
  Frobenius splitting in algebraic geometry, commutative algebra, and representation theory
- Place of Presentation
  University of Michigan (USA)
- Year and Date
  2010-05-17
- Data Source
  KAKENHI-PROJECT-22340004
[Presentation] Multiplicities and jumping numbers.2010
- Author(s)
  Shunsuke Takagi
- Organizer
  Algebraic Geometry in Characteristic p and Related Topics
- Place of Presentation
  東京大学大学院数理科学研究科
- Year and Date
  2010-02-18
- Data Source
  KAKENHI-PROJECT-20740019
[Presentation] Introduction to F-singularities2010
- Author(s)
  Shunsuke Takagi
- Organizer
  Algebraic Geometry Seminar
- Place of Presentation
  POSTECH(韓国浦項市)
- Year and Date
  2010-06-14
- Data Source
  KAKENHI-PROJECT-20740019
[Presentation] Log canonical thresholds of binomial ideals2008
- Author(s)
  Shunsuke Takagi
- Organizer
  第30回可換環論シンポジウム
- Place of Presentation
  虹ノ松原ホテル(唐津市)
- Year and Date
  2008-11-18
- Data Source
  KAKENHI-PROJECT-20740019
[Presentation] Log canonical thresholds of binomial ideals2008
- Author(s)
  Shunsuke Takagi
- Organizer
  第30回可換環論シンポジウム
- Place of Presentation
  虹ノ松原ホテル
- Year and Date
  2008-11-18
- Data Source
  KAKENHI-PROJECT-20740019
[Presentation] Adjoint ideals along closed subvarieties of higher codimension2007
- Author(s)
  Shunsuke, Takagi
- Organizer
  Algeberaic Geometry and Commutative Algebra To Kyo 2007
- Place of Presentation
  東京大学
- Year and Date
  2007-12-12
- Data Source
  KAKENHI-PROJECT-17740021
[Presentation] Topics on generalized test ideals2007
- Author(s)
  Shunsuke, Takagi
- Organizer
  F-singularities and D-modules workshop
- Place of Presentation
  University of Michigan
- Year and Date
  2007-08-07
- Data Source
  KAKENHI-PROJECT-17740021
[Presentation] A generalization of adjont ideals to the higher codimension case2007
- Author(s)
  Shunsuke, Takagi
- Organizer
  Hot Topics: Minimal and Canonical Models in Algebraic Geometry
- Place of Presentation
  Mathematical Sciences Research Institute
- Year and Date
  2007-04-20
- Data Source
  KAKENHI-PROJECT-17740021
[Presentation] A geometric interpretation of 3-dimensional F-regular graded rings
- Author(s)
  Shunsuke Takagi
- Organizer
  Commutative Algebra and its Interaction with Algebraic Geometry
- Place of Presentation
  CIRM, France
- Invited
- Data Source
  KAKENHI-PROJECT-23740024
[Presentation] F-purity of isolated log canonical singularities
- Author(s)
  S.Takagi
- Organizer
  Algebraic Geometry in East Asia 2011
- Place of Presentation
  台湾大学
- Invited
- Data Source
  KAKENHI-PROJECT-22340004
[Presentation] A characterization of log Fano varieties
- Author(s)
  S.Takagi
- Organizer
  Arithmetic and Algebraic Geometry 2012
- Place of Presentation
  東京大学
- Invited
- Data Source
  KAKENHI-PROJECT-22340004
[Presentation] Weak ordinarity conjecture and F-singularities
- Author(s)
  Shunsuke Takagi
- Organizer
  2013 Conference on moduli and birational geometry
- Place of Presentation
  Postech, Korea
- Invited
- Data Source
  KAKENHI-PROJECT-23740024
[Presentation] F-purity of isolated log canonical singularities
- Author(s)
  S.Takagi
- Organizer
  第33回可換環論シンポジウム
- Place of Presentation
  浜名湖カリアック
- Invited
- Data Source
  KAKENHI-PROJECT-22340004
[Presentation] Globally F-regular and Frobenius split surfaces
- Author(s)
  Shunsuke Takagi
- Organizer
  The Commutative Algebra of Singularities in Birational Geometry: Multiplier Ideals, Jets, Valuations, and Positive Characteristic Methods
- Place of Presentation
  Mathematical Science Research Institute, U.S.A.
- Invited
- Data Source
  KAKENHI-PROJECT-23740024
[Presentation] On a correspondence between log canonicity and F-purity
- Author(s)
  S.Takagi
- Organizer
  特異点とそのひろがり
- Place of Presentation
  京都大学
- Invited
- Data Source
  KAKENHI-PROJECT-22340004
[Presentation] On a correspondence between log canonicity and F-purity
- Author(s)
  S.Takagi
- Organizer
  代数幾何学城崎シンポジウム
- Place of Presentation
  城崎大会議館
- Invited
- Data Source
  KAKENHI-PROJECT-22340004
[Presentation] A correspondence between F-singularities and singularities in the minimal model program
- Author(s)
  Shunsuke Takagi
- Organizer
  The minimal model program in characteristic p
- Place of Presentation
  American Institute of Mathematics, U.S.A.
- Invited
- Data Source
  KAKENHI-PROJECT-23740024
[Presentation] A characterization of log Fano varieties via Cox rings
- Author(s)
  S.Takagi
- Organizer
  Special Session on Singularities in Commutative Algebra and Algebraic Geometry
- Place of Presentation
  University of Kansas
- Invited
- Data Source
  KAKENHI-PROJECT-22340004

1. 權業善範 (70634210)

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TAKAGI Shunsuke 高木 俊輔

高木 俊介 タカギ シュンスケ

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Singularity theory in mixed characteristic and its applications to the theory of F-singularities and birational geometryPrincipal Investigator

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A study of general members of linear systems via the theory of F-singularitiesPrincipal Investigator

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F-singularities and singularities in birational geometry in characteristic zero(Fostering Joint International Research)Principal Investigator

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F-singularities and singularities in birational geometry in characteristic zeroPrincipal Investigator

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Applications of Frobenius splitting to algebraic geometryPrincipal Investigator

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TAKAGI Shunsuke 高木俊輔

高木俊介タカギシュンスケ