KIKUTA SHIN

Center for Promotion of Higher Education Division of Liberal ArtsAssociate Professor

Career

  • Apr. 2016 - Present
    工学院大学
  • Apr. 2023 - Mar. 2025
    津田塾大学
  • Oct. 2023 - Mar. 2024
    東京農工大学
  • Oct. 2021 - Mar. 2022
    東京工業高等専門学校
  • Oct. 2020 - Mar. 2021
    東京工業高等専門学校
  • Sep. 2019 - Mar. 2020
    東京工業高等専門学校
  • Sep. 2018 - Mar. 2019
    日本女子大
  • Sep. 2017 - Mar. 2018
    日本女子大
  • Sep. 2015 - Mar. 2016
    工学院大学
  • Apr. 2014 - Aug. 2015
    Tokyo Denki University, Department of Mathematics, School of Engineering,
  • Apr. 2012 - Mar. 2014
    JSPS Research Fellow (PD), Sophia University, Sophia University
  • Apr. 2012 - Mar. 2013
    Part-time Lecturer, Faculty of Informatics, Department of Information Design, Kogakuin University, Faculty of Informatics
  • Apr. 2010 - Mar. 2012
    JSPS Research Fellow (DC2), Tohoku University

Educational Background

  • Apr. 2009 - Mar. 2012
    Tohoku University, Graduate School of Science, Mathematical Institute
  • Apr. 2002 - Mar. 2006
    Tohoku University, Faculty of Science, Department of Mathematics

Degree

  • Mar. 2006
    Bachelor of Science, Tohoku University
  • Mar. 2009
    Master of Science, Tohoku University
  • Mar. 2012
    Doctor of Science, Tohoku University

Licence qualification

  • 31 Mar. 2006
    type 1 license of high school teacher (mathematics), Miyagi Prefectural Board of Education
  • 31 Mar. 2009
    specialized license of high school teacher (mathematics), Miyagi Prefectural Board of Education

Affiliated academic society

  • Oct. 2010 - Present
    The Mathematical Society of Japan

IDs

  • Identifiers

    研究者番号:40736790
    researchmap会員ID:7000007962
    J-Global ID:201401000048365254

Research Field

  • Natural sciences, Geometry

Research Keyword

  • degeneration of positivity for log-canonical bundle
  • Kodaira dimension
  • positivity of canonical bundle
  • measure hyperbolicity
  • (generalized) K\"ahler-Einstein metric
  • boundary behavior of Kahler-Einstein metric with negative Ricci curvature

Books and other publications

  • 理工系のための線形代数[改訂版]
    Joint work
    30 Nov. 2018
    9784563012304

Paper

  • 工学院大学学習支援センター数学科の教育効果ー決定木の利用ー
    2023, [Reviewed]
  • Boundary behavior of K\"ahler-Einstein metric of negative Ricci curvature over quasi-projective manifolds with boundary of general type
    Shin Kikuta
    Kodai Mathematical Journal, Mar. 2021, [Reviewed]
    Lead
  • The limits on boundary of orbifold K\"ahler-Einstein metrics and K\"ahler-Ricci flows over quasi-projective manifolds
    Shin Kikuta
    Mathematische Annalen, 2015, [Reviewed]
  • Restricted Caratheodory Measure and Restricted Volume of the Canonical Bundle
    Shin Kikuta
    MICHIGAN MATHEMATICAL JOURNAL, 2013, [Reviewed]
  • Carath\'{e}odory measure hyperbolicity and nef property of cotangent bundle
    2013, [Reviewed]
  • CARATHEODORY MEASURE HYPERBOLICITY AND POSITIVITY OF CANONICAL BUNDLES
    Shin Kikuta
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, Apr. 2011, [Reviewed]

MISC

  • Boundary asymptotics of K\"ahler-Einstein metrics of negative Ricci curvature over quasi-projective manifolds
    Shin Kikuta
    Abstracts of the 61st Geometry Symposium, Meijo University, 2014
  • The limits on boundary of the orbifold K\"ahler-Einstein metrics and K\"ahler-Ricci flows over quasi-projective manifolds
    Shin Kikiuta
    Abstracts of the section of Geometry in the MSJ Autumn Meeting 2013, Ehime University, 2013
  • The limits on boundary of the orbifold K\"ahler-Ricci flows and K\"ahler-Einstein metrics over quasi-projective manifolds
    Shin Kikuta
    Abstracts of Winter Seminar on Several Complex Variables 2013, CORRASE Fukushima, 2013
  • Carath\'eodory measure hyperbolicity and nef property of cotangent bundle
    Shin Kikuta
    Topics in Finite or Infinite Dimensional Complex Analysis, Tohoku University Press, 2013, [Reviewed]
  • Positivity of canonical or cotangent bundle on Carath\'eodory measure hyperbolic manifolds
    Shin Kikuta
    Technical report of The 8th Mathematics Conference for Young Researchers, Hokkaido University, 2012
  • On the curvature of the restricted Carath\'eodory pseudo-volume form (correction)
    Shin Kikuta
    Abstracts of the section of Complex Analysis in the MSJ Autumn Meeting 2012, Kyushu University, 2012
  • Numerical comparison between Carath\'eodory measure hyperbolicity and positivity of canonical bundle along subvarieties
    Shin Kikuta
    Abstracts of the section of Geometry in the MSJ Autumn Meeting 2012, Kyushu University, 2012
  • On the restricted Carath\'eodory pseudo-volume form
    Shin Kikuta
    Abstracts of the section of Complex Analysis in the MSJ Spring Meeting, Waseda University, 2011
  • On the curvature of the Carath\'eodory pseudo-volume form
    Shin Kikuta
    Abstracts of the section of Complex Analysis in the MSJ Autumn Meeting 2010, Nagoya University, 2010
  • On the curvature of the Carath\'eodory pseudo-volume form
    Shin Kikuta
    Abstracts of the section of Geometry in the MSJ Autumn Meeting 2010, Nagoya University, 2010
  • Curvatures of Carath\'eodory pseudo-volume forms and its applications
    Shin Kikuta
    Abstracts of The 53rd Symposium on Function Theory, Meijo University, 2010

Lectures, oral presentations, etc.

  • ケーラー・アインシュタイン計量の境界挙動
    Shin Kikuta
    26 Mar. 2024, [Invited]
  • Residue and volume growth of Kähler-Einstein metric over quasi-projective manifolds with boundary of maximal or minimal Kodaira dimension
    Shin KIKUTA
    Semiclassic seminar, University of Cologne, 28 Nov. 2023, [Invited]
  • volume growth of the K\"ahler-Einstein metric over quasi-projective manifolds with boundary of maximal or minimal Kodaira dimension
    Shin Kikuta
    Workshop on Complex geometry in Osaka 2023, Osaka University, 23 Mar. 2023, [Invited]
  • Formula of the K\"ahler-Einstein volume form over quasi-projective manifolds with Calabi-Yau boundary
    Shin Kikuta
    The 3rd i-seminar, Ashikaga University, 14 Mar. 2023, [Invited]
  • degeneration of positivity of the log-canonical bundle and residue of the K^"ahler-Einstein metric
    Shin Kikuta
    winter seminar on several complex variables, University of Tokyo, 18 Dec. 2022, [Invited]
  • boundary behavior of the Bergman metric on Siegel modular varieties
    Shin Kikuta
    The 1st i-seminar, Fukuoka Institute of Technology, 10 Oct. 2022, [Invited]
  • Residue of Kahler-Einstein metric on quasi-projective manifolds
    Shin Kikuta
    Seminar on Differential Geometry at Fukuoka University, Fukuoka University, 16 Jan. 2020, [Invited]
  • Boundary behavior of K\"ahler-Einstein metric and positivity for log-canonical bundle
    Shin Kikuta
    The 27th International Conference on Finite and Infinite Dimensional Complex Analysis and Applications, Siberian Federal University, Krasnoyarsk, Russia, 13 Aug. 2019, [Invited]
  • Volume growth of Kahler-Einstein metric and positivity of log-canonical bundle
    Shin Kikuta
    Mathematics seminar at Tokyo University of Agriculture and Technology 2019, Tokyo University of Agriculture and Technology, 26 Mar. 2019, [Invited]
  • Volume growth of Kahler-Einstein metric of negative Ricci curvature over quasi-projective manifolds
    Shin Kikuta
    geodesics and related problems, Kumamoto University, 05 Jan. 2019
  • Degeneration of positivity for log-canonical bundle and boundary behavior of K\"ahler-Einstein metric
    Shin Kikuta
    Stabilities in K\"ahler geometry and related topics, Tohoku University, 19 Dec. 2018
  • Degeneration of positivity for log-canonical bundle and boundary behavior of K\"ahler-Einstein metric
    Shin Kikuta
    The 24th Symposium on Complex Geometry, Shiinoki Cultural Complex, Ishikawa, 13 Nov. 2018, [Invited]
  • Boundary behavior of Kahler-Einstein metric of negative Ricci curvature over quasi-projective manifolds with Calabi-Yau boundary
    Shin Kikuta
    3rd Miyazaki Geometry Seminar, Miyazaki University, 07 Jul. 2018, [Invited]
  • Degeneration of positivity for log-canonical bundle and K\"ahler-Einstein metric
    Shin Kikuta
    Positivity Concepts on Holomorphic Line Bundles and Theories on Canonical Kähler Metrics, Osaka City University, 30 Jan. 2018, [Invited]
  • Degeneration of positivity for log-canonical bundle and K\"ahler-Einstein metric
    Shin Kikuta
    Young Mathematicians Workshop on Several Complex Variables and Complex Geometry 2017, Capital Normal University, Beijing, China, 09 Dec. 2017, [Invited]
  • positivity of log-canonical bundle and volume growth of the complete K\"ahler-Einstein metric
    Shin Kikuta
    colluquium, Tokyo University of Science, 28 Nov. 2016
  • degeneration of positivity of log-canonical bundle and boundary asymptotics of complete Kahler-Einstein metric
    Shin Kikuta
    Seminar on Geometric Complex Analysis, the University of Tokyo, 06 Jun. 2016
  • Boundary behavior of complete Kahler-Einstein metric over quasi-projective manifolds with boundary of general type
    Shin Kikuta
    geometry seminar, Tokyo Metropolitan University, 13 May 2016
  • Boundary behavior of Kahler-Einstein metric of negative Ricci curvature over quasi-projective manifolds with boundary of general type
    Shin Kikuta
    Potential Theoretic Aspects of Complex Analytic Geometry, 12 Feb. 2016
  • Boundary behavior of Kahler-Einstein metric of negative Ricci curvature over quasi-projective manifolds with boundary of general type
    Shin Kikuta
    Differential geometry and topology seminar, Department of Mathematics, Keio University, 16 Nov. 2015
  • Boundary asymptotics of K\"ahler-Einstein metrics of negative Ricci curvature on quasi-projective manifolds
    Shin Kikuta
    The 23th International Conference on Finite or Infinite Dimensional Complex Analysis and Application, Kyushu Sangyo University, 25 Aug. 2015
  • Boundary asymptotics of K\"ahler-Einstein metric of negative Ricci curvature over quasi-projective manifolds
    Shin Kikuta
    Hodge Theory and Algebraic Geometry, Tokyo Denki University, 07 Aug. 2015
  • Boundary asymptotics of K\"ahler-Einstein metric of negative Ricci curvature over quasi-projective manifolds
    Shin Kikuta
    The 61st Geometry Symposium, Meijo University, 24 Aug. 2014
  • Boundary asymptotics of K\"ahler-Einstein metrics of negative Ricci curvature on quasi-projective manifolds
    Shin Kikuta
    Young Mathematician Workshop on Several Complex Variables, POSTECH, Korea, 05 Aug. 2014
  • Positivity of canonical or cotangent bundle over Carath\'eodory measure hyperbolic manifolds
    Shin Kikuta
    The 4th South Kyushu workshop on algebra - Complex Ball Quotients and Related Topics -, Kumamoto University, 23 Jul. 2014
  • The limits on boundary of orbifold K\"ahler-Ricci flows and K\"ahler-Einstein metrics over quasi-projective manifolds
    Shin Kikuta
    Winter Seminar on Several Complex Variables 2013, CORASSE Fukushima, 21 Dec. 2013
  • The limits on boundary of orbifold K\"ahler-Einstein metrics and K\"ahler-Ricci flows over quasi-projective manifolds
    Shin Kikuta
    Seminar on Geometric Complex Analysis, The University of Tokyo, 07 Oct. 2013
  • The limits on boundary of orbifold K\"ahler-Einstein metrics and K\"ahler-Ricci flows over quasi-projective manifolds
    Shin Kikuta
    Section of Geometry, MSJ Autumn Meeting 2013, Ehime University, 26 Sep. 2013
  • The limits on boundary of orbifold K\"ahler-Einstein metrics and K\"ahler-Ricci flows over quasi-projective manifolds
    Shin Kikuta
    Young Mathematician Workshop on Several Complex Variables, Nagoya University, 25 Jul. 2013
  • The limits on boundary of orbifold K\"ahler-Einstein metrics and K\"ahler-Ricci flows over quasi-projective manifolds
    Shin Kikuta
    Took Complex Analysis Seminar, Graduate School of Information Sciences, Tohoku University, 03 Jul. 2013
  • Carath\'eodory measure hyperbolicity and positivity of canonical or cotangent bundle
    Shin Kikuta
    Mathematics Colloquium, Sophia University, 30 Nov. 2012
  • Numerical comparison between Carath\ ́eodory measure hyperbolicity and positivity of canonical bundle along subvarieties
    Shin Kikuta
    Section of Geometry, MSJ Autumn Meeting 2012, Kyushu University, 20 Sep. 2012
  • On the restricted Carath\'erode pseudo-volume form (correction)
    Shin Kikuta
    Section of Complex Analysis, MSJ Autumn Meeting 2012, Kyushu University, 19 Sep. 2012
  • Numerical relations between Carath\'\eodory measure hyperbolicity and positivity of canonical bundle or cotangent bundle
    Shin Kikuta
    Nagoya-Tongji Joint Workshop on Bergman Kernel, Tongji University, China, 23 Aug. 2012
  • Numerical comparisons between Carath\'eodory measure hyperbolicity and positivity of canonical bundle or cotangent bundle
    Shin Kikuta
    2012年全国多複分析学術会議, Henan Unversity, China, 18 Aug. 2012
  • Dynamical construction of K\"ahler-Einstein metrics
    Shin Kikuta
    Asymptotic Expansion of Bergman Kernel and Complex Geometry, The University of Tokyo, 13 Aug. 2012
  • Numerical relations between Carath\'eodory measure hyperbolicity and positivity of canonical or cotangent bundle
    Shin Kikuta
    The 4th Kanto Young Geometers' Seminar, Tokyo Institute of Technology, 07 Jul. 2012
  • Numerical relations between Carath\'eodory measure hyperbolicity and positivity of canonical or cotangent bundle
    Shin Kikuta
    Complex Analysis Seminar, Tokyo Institute of Technology, 26 Jun. 2012
  • Positivity of the canonical or cotangent bundle over Carath\'eodory measure hyperbolic manifolds
    Shin Kikuta
    The 8th Mathematics Conference for Young Researchers, Hokkaido University, 27 Feb. 2012
  • Numerical comparisons between Carath\'eodory measure hyperbolicity and positivity of canonical bundle
    Shin Kikuta
    The 19th International Conference on Finite or Infinite Dimensional Complex Analysis and Application, Hiroshima Aster Plaza, 15 Dec. 2011
  • Positivity of canonical or cotangent bundle on Carath\'eodory measure hyperbolic manifolds
    Shin Kikuta
    Geometry Seminar, Tohoku University, 15 Nov. 2011
  • On the restricted Carath\'eodory pseudo-volume form
    Shin Kikuta
    Section of Complex Analysis, MSJ Spring Meeting 2011, Waseda University, Mar. 2011
  • Restricted Carath\'eodory measure and restricted volume of canonical bundle
    Shin Kikuta
    The 3rd ,International GCOE symposium on “Weaving Science Web beyond Particle-Matter Hierarchy’’, Tohoku University, 18 Feb. 2011
  • Restricted Carath\'eodory pseudo-volume form and restricted volume of canonical bundle
    Shin Kikuta
    Differential Geometry Conference 2010 at Matsue, Shimane University, 10 Dec. 2010
  • Curvatures of Carath\'eodory pseudo-volume forms and its applications
    Shin Kikuta
    The 53th symposium on function theory, Meijo University, 22 Nov. 2010
  • Restricted Carath\'eodory pseudo-volume form
    Shin Kikuta
    Geometry Seminar, Tohoku University, 02 Nov. 2010
  • On the curvature of the Carath\'eodory pseudo-volume form
    Shin Kikuta
    Section of Geometry, MSJ Autumn Meeting 2010, Nagoya University, 25 Sep. 2010
  • On the curvature of the Carath\'eodory pseudo-volume form
    Shin Kikuta
    Section of Complex Analysis, MSJ Autumn Meeting 2010, Nagoya University, 23 Sep. 2010
  • On the curvature of the Carath\'eodory pseudo-volume form
    Shin Kikuta
    The 45th Summer seminar on Function Theory, Hills Sunpia Yamagata, 29 Aug. 2010
  • C^{2,\epsilon}-estimates (i)
    Shin Kikuta
    Monge-Amp\'ere equation and complex geometry, 12 Aug. 2010
  • On the curvature of the pseudo-volume forms defining measure hyperbolicities
    Shin Kikuta
    Differential Geometry and Topology Seminar, Keio University, 12 Apr. 2010
  • On the curvature of the pseudo-volume forms defining measure hyperbolicities
    Shin Kikuta
    The 2nd International GCOE symposium on ``Weaving Science Web beyond Particle-Matter Hierarchy'', Tohoku University, 18 Feb. 2010
  • Introduction of Berndtsson's theorem on variation of Bergman kernels
    Shin Kikuta
    Geometry Seminar, Tohoku University, 05 Jan. 2010
  • On the curvature of the pseudo-volume forms defining measure hyperbolicities
    Shin Kikuta
    Mini-Workshop with Professor Y. L. Xin, Tohoku University, 07 Oct. 2009
  • On the curvature of the pseudo-volume forms defining measure hyperbolicities
    Shin Kikuta
    Geometry Seminar, Sophia University, 28 Jul. 2009
  • On the curvature of the pseudo-volume forms defining measure hyperbolicities
    Shin Kikuta
    Geometry Seminar, Nagoya University, 21 Jul. 2009
  • Carath\'eodory measure hyperbolicity and positivity of canonical bundle
    Shin Kikuta
    Algebraic Geometry Seminar, Tohoku University, 24 Apr. 2009
  • Measure hyperbolicity and positivity of canonical bundle
    Shin Kikuta
    The 2nd 6 Institutes Joint Symposium, Tohoku University, 23 Feb. 2009
  • Measure hyperbolicity and positivity of canonical bundle
    Shin Kikuta
    Geometry Seminar, Tohoku University, 09 Dec. 2008

Works

  • 準射影代数多様体上のorbifold K\"{a}hler-Ricci流及びK\"{a}hler-Einstein計量の列の境界因子上での極限
    2013 - Present, Others
  • カラテオドリー測度双曲多様体上の標準束及び余接束の正値性
    2012 - Present, Others
  • Curvatures of Carath\'{e}odor pseudo-volume forms and its applications
    2010 - Present, Others

Award

  • Mar. 2012
  • Mar. 2012
    Publisher
  • Mar. 2009
  • Mar. 2009
    Publisher
  • Apr. 2005
  • Apr. 2005
    Publisher

Research Themes

Textbooks and teaching materials

  • 01 Nov. 2018

Social Contribution Activities

  • 01 Sep. 2015 - Present
    organization of the Kogakuin University / Waseda University GEC Joint Mathematical Science Seminar

Member History

  • Jul. 2020 - Jun. 2022
    regular editorial committee of the journal `Sugaku', Mathematical Society of Japan