KOIKE Takayuki

写真a

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Title

Associate Professor

Laboratory location

Sugimoto Campus

Degree 【 display / non-display

  • The University of Tokyo -  Ph.D. in Mathematical Sciences

Research Areas 【 display / non-display

Geometry, Basic analysis

Research subject summary 【 display / non-display

  • I am interested in singular Hermitian metrics of a (nef) line bundle L over a complex manifold,
    especially in minimal singular metrics of L, metrics of L with the mildest singularities among singular Hermitian metrics of L whose local weights are plurisubharmonic.
    I am also interested in complex analysis on neighborhoods of compact analytic subvarieties, especially in Ueda theory.

Research Interests 【 display / non-display

the Theory of Functions of Several Complex Variables, Complex Geometry

Association Memberships 【 display / non-display

  • The Mathematical Society of Japan

Awards & Honors 【 display / non-display

  • MSJ Takebe Katahiro Prize for Encouragement of Young Researchers, The Mathematical Society of Japan

    2018.09  

  • Dean's Award, Graduate School of Mathematical Sciences, The University of Tokyo

    2015.03  

Current Career 【 display / non-display

  • Osaka City University   Graduate School of Science   Mathematics and Physics Course   Associate Professor  

 

Published Papers 【 display / non-display

  • Linearization of transition functions of a semi-positive line bundle along a certain submanifold

    Takayuki Koike

    Annales de l'Institut Fourier (Grenoble)  2021  [Refereed]

  • Arnol'd's type theorem on a neighborhood of a cycle of rational curves

    Takayuki Koike

    Journal d'Analyse Mathématique  2021  [Refereed]

  • Higher codimensional Ueda theory for a compact submanifold with unitary flat normal bundle

    Takayuki Koike

    Nagoya Mathematical Journal  238   104 - 136 2020  [Refereed]

  • On minimal singular metrics of line bundles whose stable base loci admit holomorphic tubular neighborhoods

    G. Hosono, T. Koike

    Annales de la Faculté des Sciences de Toulouse  XXIX ( 1 ) 149 - 175 2020  [Refereed]

  • Plurisubharmonic functions on a neighborhood of a torus leaf of a certain class of foliations

    Takayuki Koike

    Forum Mathematicum  31 ( 6 ) 1457 - 1466 2019  [Refereed]

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Review Papers (Misc) 【 display / non-display

  • Semipositivity of line bundles and neighborhoods of analytic submanifolds

    Takayuki Koike

    Sugaku  2021  [Refereed]  [Invited]

Conference Activities & Talks 【 display / non-display

  • On the complement of a hypersurface with flat normal bundle which corresponds to a semipositive line bundle

    Takayuki Koike  [Invited]

    第26回複素幾何シンポジウム(金沢) 2020  2020.11 

  • Gluing construction of K3 surfaces and complex analysis on a neighborhood of a complex submanifold

    Takayuki Koike  [Invited]

    城崎代数幾何シンポジウム  2019.10 

  • On a neighborhood of an elliptic curve and a gluing construction of K3 surfaces

    Takayuki Koike  [Invited]

    Complex Geometry 2019 Tokyo  2019.07 

  • On a neighborhood of an elliptic curve and a gluing construction of K3 surfaces

    Takayuki Koike  [Invited]

    Mini-workshop on Complex Geometry  2019.05