KIKUTA SHIN

キクタシン | KIKUTA SHIN

Affiliation and department：
Job title： Associate Professor

Research field (1)： Geometry

Research keywords (6)： 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

Research theme for competitive and other funds (5)：

2021 - 2026 準射影多様体上のケーラー・アインシュタイン計量の境界挙動と対数的標準束の正値性
2016 - 2020 relations between degeneration of positivity for the canonical bundle and canonical metrics or measures
2014 - 2015 canonical metrics or measures in complex geometry and positivity of canonical bundle
2012 - 2013 測度双曲多様体の標準束上の特異エルミート幾何
2010 - 2011 測度双曲性と標準束の正値性

Papers (6)：

永井朋子, 金城謙作, 河村建吾, 中村友哉, 奥田喬之, 佐藤雄一郎, 椋野純一, 菊田伸, 熊ノ郷直人. 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. 工学教育. 2023. 71. 3. 112-116
Shin Kikuta . Boundary behavior of K\"ahler-Einstein metric of negative Ricci curvature over quasi-projective manifolds with boundary of general type. Kodai Mathematical Journal. 2021. 44. 1. 81-114
Shin Kikuta. The limits on boundary of orbifold K\"ahler-Einstein metrics and K\"ahler-Ricci flows over quasi-projective manifolds. Mathematische Annalen. 2015. 361. 1-2. 477-510
Shin Kikuta. Restricted Caratheodory Measure and Restricted Volume of the Canonical Bundle. MICHIGAN MATHEMATICAL JOURNAL. 2013. 62. 2. 259-292
Carath\'{e}odory measure hyperbolicity and nef property of cotangent bundle. Topics in Finite or Infinite Dimensional Complex Analysis. 2013. 141-151

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MISC (11)：

Shin Kikuta. Boundary asymptotics of K\"ahler-Einstein metrics of negative Ricci curvature over quasi-projective manifolds. Abstracts of the 61st Geometry Symposium, Meijo University. 2014
Shin Kikiuta. The limits on boundary of the orbifold K\"ahler-Einstein metrics and K\"ahler-Ricci flows over quasi-projective manifolds. Abstracts of the section of Geometry in the MSJ Autumn Meeting 2013, Ehime University. 2013
Shin Kikuta. The limits on boundary of the orbifold K\"ahler-Ricci flows and K\"ahler-Einstein metrics over quasi-projective manifolds. Abstracts of Winter Seminar on Several Complex Variables 2013, CORRASE Fukushima. 2013
Shin Kikuta. Carath\'eodory measure hyperbolicity and nef property of cotangent bundle. Topics in Finite or Infinite Dimensional Complex Analysis, Tohoku University Press. 2013. 141-151
Shin Kikuta. Positivity of canonical or cotangent bundle on Carath\'eodory measure hyperbolic manifolds. Technical report of The 8th Mathematics Conference for Young Researchers, Hokkaido University. 2012

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Books (1)：

理工系のための線形代数[改訂版]
培風館 2018 ISBN:9784563012304

Lectures and oral presentations (59)：

ケーラー・アインシュタイン計量の境界挙動
(2024)
Residue and volume growth of Kähler-Einstein metric over quasi-projective manifolds with boundary of maximal or minimal Kodaira dimension
(Semiclassic seminar, University of Cologne 2023)
volume growth of the K\"ahler-Einstein metric over quasi-projective manifolds with boundary of maximal or minimal Kodaira dimension
(Workshop on Complex geometry in Osaka 2023, Osaka University 2023)
Formula of the K\"ahler-Einstein volume form over quasi-projective manifolds with Calabi-Yau boundary
(The 3rd i-seminar, Ashikaga University 2023)
degeneration of positivity of the log-canonical bundle and residue of the K^"ahler-Einstein metric
(winter seminar on several complex variables, University of Tokyo 2022)

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Works (3)：

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 -
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 -
Curvatures of Carath\'{e}odor pseudo-volume forms and its applications
2010 -

Education (2)：

2009 - 2012 Tohoku University Graduate School of Science Mathematical Institute
2002 - 2006 Tohoku University Faculty of Science Department of Mathematics

Work history (14)：

2023/04 - 2025/03 津田塾大学
2023/10 - 2024/03 東京農工大学非常勤講師「微分積分学I」、「線形代数学II」
2021/10 - 2022/03 東京工業高等専門学校非常勤講師「線形代数IV」
2020/10 - 2021/03 東京工業高等専門学校非常勤講師「線形代数IV」
2019/09 - 2020/03 東京工業高等専門学校非常勤講師「線形代数IV」

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Committee career (1)：

2020/07 - 2022/06 Mathematical Society of Japan regular editorial committee of the journal `Sugaku'

Awards (6)：

2012/03 - 平成23 年度東北大学博士論文川井賞(川井数理科学財団)
2012/03 - 川井数理科学財団平成23年度東北大学博士論文川井賞
2009/03 - 平成20 年度東北大学修士論文川井賞(川井数理科学財団)
2009/03 - 川井数理科学財団平成20年度東北大学修士論文川井賞
2005/04 - 平成17 年度東北大学奨励賞(川井数理科学財団)

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Association Membership(s) (1)：

The Mathematical Society of Japan

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