Yamaki Kazuhiko

ヤマキカズヒコ | Yamaki Kazuhiko

Affiliation and department：
Job title： Professor

Research field (1)： Algebra

Research keywords (1)： Arithmetic of Algebraic Varieties and Nonarchimedean Geometry

Research theme for competitive and other funds (4)：

2018 - 2022 非アルキメデス的幾何のアラケロフ幾何への融合
2018 - 2020 アラケロフ幾何の新展開
2014 - 2018 Nonarchimedean geometry and its application to arithmetic of algebraic varieties
2009 - 2012 Research on heights on algebraic varietiesfrom the viewpoint of Arakelov geometry and its application

Papers (17)：

Shu Kawaguchi, Kazuhiko Yamaki. Effective faithful tropicalizations associated to linear systems on curves. Memoirs of the American Mathematical Society. 2021. 270. 1323. 1-122
Shu Kawaguchi, Kazuhiko Yamaki. Effective Faithful Tropicalizations Associated to Adjoint Linear Systems. INTERNATIONAL MATHEMATICS RESEARCH NOTICES. 2019. 2019. 19. 6089-6112
Kazuhiko Yamaki. Trace of abelian varieties over function fields and the geometric Bogomolov conjecture. Journal für die reine und angewandte Mathematik. 2018. 741. 133-159
Kazuhiko Yamaki. NON-DENSITY OF SMALL POINTS ON DIVISORS ON ABELIAN VARIETIES AND THE BOGOMOLOV CONJECTURE. JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY. 2017. 30. 4. 1133-1163
Kazuhiko Yamaki. Survey on the geometric Bogomolov conjecture. Mathematical Publications of Besançon, Algebra and Number Theory. 2017. 137-193

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MISC (5)：

Kazuhiko Yamaki. Effective faithful tropicalizations associated to linear systems on curves. 2017. 126-143
山木壱彦. 代数曲線の因子の階数とグラフの因子の階数(川口周氏との共同研究). 射影多様体の幾何とその周辺2014報告集. 2015. 79-91
山木壱彦. アーベル多様体に対する幾何的ボゴモロフ予想. 第58回代数学シンポジウム(報告集). 2013
山木壱彦. Cornalba-Harris equality for semistable hyperelliptic curves in positive characteristic. 代数幾何学シンポジウム-高次元多様体,正標数の話題を中心として- 報告集. 2002. 87-94
山木壱彦. 函数体上のボゴモロフ予想について. 代数幾何学シンポジューム記録. 1999. 1999. 44-49

Lectures and oral presentations (44)：

幾何的ボゴモロフ予想の進展
(日本数学会2021年度年会 2021)
Non-density of small points on divisors on abelian varieties and the Bogomolov conjecture
(a few days conference at Sapporo 2019)
Non-density of small points on divisors on abelian varieties and the Bogomolov conjecture
(Rational Points on Higher Dimensional Varieties 2019)
Ample divisors on tropical varieties
(Workshop “Regensburg days on non-archimedean geometry” 2019)
Positivity of the height of a divisor on an abelian variety over a function field
(Niigata Algebra Seminar 2019)

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Education (2)：

1997 - 2001 Kyoto University Graduate School of Science Department of Mathematics
1993 - 1997 Kyoto University Faculty of Science

Professional career (1)：

Work history (8)：

2024/04 - 現在 Tohoku University Graduate School of Science Professor
2021/04 - 2024/03 University of Tsukuba Faculty of Pure and Applied Sciences Professor
2013/04 - 2021/03 Kyoto University Institute for Liberal Arts and Sciences Associate Professor
2010/10 - 2013/03 Kyoto University Institute for the Promotion of Excellence in Higher Education Associate Professor
2005/04 - 2010/09 Kyoto University Graduate School of Engineering Senior Lecturer

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Awards (1)：

Association Membership(s) (1)：

The Mathematical Society of Japan

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