山木 壱彦

Last Update: 2019/06/25 14:22:23

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Name(Kanji/Kana/Abecedarium Latinum)
山木 壱彦/ヤマキ カズヒコ/Yamaki, Kazuhiko
Primary Affiliation(Org1/Job title)
Institute for Liberal Arts and Sciences (ILAS)/Associate Professor
Concurrent Affiliation
Org1 Job title
Graduate Schools Science Associate Professor
Contact Address
Type Address(Japanese) Address(English)
Office 606-8502 京都市左京区北白川追分町 京都大学大学院理学研究科数学教室 Departmemt of Mathematics, Graduate school of Science, Kyoto University, Kitashirakawa-Oiwakecho, Sakyo-ku, Kyoto 606-8502, Japan
Phone
Type Number
Office 075-753-3690
Academic Degree
Field(Japanese) Field(English) University(Japanese) University(English) Method
修士(理学) 京都大学
博士(理学) 京都大学
Work Experience
Period Organization(Japanese) Organization(English) Job title(Japanese) Job title(English)
2001/10/01-2002/03/31 京都大学大学院理学研究科 日本学術振興会特別研究員PD
2002/04/01-2005/03/31 京都大学数理解析研究所 日本学術振興会特別研究員PD
2005/04/01-2010/09/30 京都大学大学院工学研究科 講師
2010/10/01-2012/09/30 京都大学高等教育研究開発推進機構 准教授 Associate Professor
2012/10/01- 京都大学国際高等教育院 Institute for Liberal Arts and Sciences 准教授 Associate Professor
Personal Profile
(Japanese)
代数幾何学の算術的な側面について研究している。教育については主に全学共通科目の一・二回生向け数学科目を担当している。学問としとの数学の基本的な考え方と基礎的運用力を身につけてもらえることを目指している。また、数学教育だけではなく京都大学の全学教育の向上について日々考えている。
(English)
I am working in the area of algebraic geometry, with a special interest in arithmetic problems of algebraic varieties. My target in teaching is the undergraduate students. I am mainly giving lectures on calculous and linear algebra for first-year students and some advanced courses, such as vector analysis and ordinary differential equations, for second-year students. I am hoping that my students get mathematical way of thinking and basic skills in mathematics as well. I am interested not only in teaching mathematics but also in whole genearal education in my university.
Language of Instruction
Language(japanese) Language(english) Code
英語
ORCID ID
https://orcid.org/0000-0002-1946-8055
researchmap URL
https://researchmap.jp/7000008456
Research Topics
(Japanese)
代数幾何学の算術的問題、特にアラケロフ幾何的視点から。
(English)
Arithmetic problems of algebraic geometry from the view point of Arakelov theory.
Overview of the research
(Japanese)
大域体上定義された代数多様体の代数的点の分布と高さの関係ついて興味を持っており,これらについてアラケロフ幾何的視点で研究している.代数的点の分布を調べる際には、考えている体の各素点での振舞いに着目することはしばしば有効である。一般に,素点にはアルキメデス的素点と非アルキメデス的素点の二種類があるが,その中でも特に非アルキメデス的素点の上での挙動に注目している.その関連で最近では特に非アルキメデス的幾何やトロピカル幾何に興味を持っている.
(English)
My research interest is the relationship between the height and the distribution of algebraic points of a variety defined over a global field. I study it especially from the viewpoint of Arakelov geometry. When one investigate how algebraic points distrubute in a variety, it is useful to look at the points at each place of the base field. As you know, there are two kinds of places, that is, archimedean places and non-archimedean places in general. I especially focus on non-archimedean places. Further, it has recently motivated me to strudy non-archimedean geometry and tropical geometry.
Fields of research (key words)
Key words(Japanese) Key words(English)
代数幾何学 Algebraic geometry
アラケロフ幾何 Arakelov geometry
非アルキメデス的幾何 Nonarchimedean geometry
トロピカル幾何 tropical geometry
Published Papers
Author Author(Japanese) Author(English) Title Title(Japanese) Title(English) Bibliography Bibliography(Japanese) Bibliography(English) Publication date Refereed paper Language Publishing type Disclose
Kazuhiko Yamaki 山木 壱彦 Kazuhiko Yamaki Trace of abelian varieties over function fields and the geometric Bogomolov conjecture Trace of abelian varieties over function fields and the geometric Bogomolov conjecture Trace of abelian varieties over function fields and the geometric Bogomolov conjecture Journal für die reine und angewandte Mathematik, 741, 133-159 Journal für die reine und angewandte Mathematik, 741, 133-159 Journal für die reine und angewandte Mathematik, 741, 133-159 2018 Refereed English Research paper(scientific journal) Disclose to all
Kazuhiko Yamaki 山木 壱彦 Kazuhiko Yamaki Geometric Bogomolov conjecture for nowhere degenerate abelian varieties of dimension 5 with trivial trace Geometric Bogomolov conjecture for nowhere degenerate abelian varieties of dimension 5 with trivial trace Geometric Bogomolov conjecture for nowhere degenerate abelian varieties of dimension 5 with trivial trace Mathematical Research Letters, 24, 5, 1555-1563 Mathematical Research Letters, 24, 5, 1555-1563 Mathematical Research Letters, 24, 5, 1555-1563 2017 Refereed English Research paper(scientific journal) Disclose to all
Kazuhiko Yamaki 山木 壱彦 Kazuhiko Yamaki Non-density of small points on divisors on abelian varieties and the Bogomolov conjecture Non-density of small points on divisors on abelian varieties and the Bogomolov conjecture Non-density of small points on divisors on abelian varieties and the Bogomolov conjecture Journal of the American Mathematical Society, 30, 4, 1133-1163 Journal of the American Mathematical Society, 30, 4, 1133-1163 Journal of the American Mathematical Society, 30, 4, 1133-1163 2017 Refereed English Research paper(scientific journal) Disclose to all
Kazuhiko Yamaki 山木 壱彦 Kazuhiko Yamaki Survey on the geometric Bogomolov conjecture Survey on the geometric Bogomolov conjecture Survey on the geometric Bogomolov conjecture Mathematical Publications of Besançon, Algebra and Number Theory, 137-193 Mathematical Publications of Besançon, Algebra and Number Theory, 137-193 Mathematical Publications of Besançon, Algebra and Number Theory, 137-193 2017 Refereed English Research paper(bulletin of university, research institution) Disclose to all
Kazuhiko Yamaki 山木 壱彦 Kazuhiko Yamaki Strict supports of canonical measures and applications to the geometric Bogomolov conjecture Strict supports of canonical measures and applications to the geometric Bogomolov conjecture Strict supports of canonical measures and applications to the geometric Bogomolov conjecture Compositio Mathematica, 152, 5, 997-1040 Compositio Mathematica, 152, 5, 997-1040 Compositio Mathematica, 152, 5, 997-1040 2016 Refereed English Research paper(scientific journal) Disclose to all
Shu kawaguchi, Kazuhiko Yamaki 川口周,山木 壱彦 Shu kawaguchi, Kazuhiko Yamaki Algebraic rank on Hyperelliptic graphs and graphs of genus 3 Algebraic rank on Hyperelliptic graphs and graphs of genus 3 Algebraic rank on Hyperelliptic graphs and graphs of genus 3 Kyoto Journal of Mathematics, 56, 1, 177-196 Kyoto Journal of Mathematics, 56, 1, 177-196 Kyoto Journal of Mathematics, 56, 1, 177-196 2016 Refereed English Research paper(scientific journal) Disclose to all
Kazuhiko Yamaki 山木 壱彦 Kazuhiko Yamaki Geometric Bogomolov conjecture for abelian varieties and some results for those with some degeneration (with an appendix by Walter Gubler: The minimal dimension of a canonical measure) Geometric Bogomolov conjecture for abelian varieties and some results for those with some degeneration (with an appendix by Walter Gubler: The minimal dimension of a canonical measure) Geometric Bogomolov conjecture for abelian varieties and some results for those with some degeneration (with an appendix by Walter Gubler: The minimal dimension of a canonical measure) Manuscripta Mathematica, 142, 3-4, 273-306 Manuscripta Mathematica, 142, 3-4, 273-306 Manuscripta Mathematica, 142, 3-4, 273-306 2013/11 Refereed English Research paper(scientific journal) Disclose to all
Kazuhiko Yamaki 山木 壱彦 Kazuhiko Yamaki Graph invariants and the positivity of the height of the Gross-Schoen cycle for some curves Graph invariants and the positivity of the height of the Gross-Schoen cycle for some curves Graph invariants and the positivity of the height of the Gross-Schoen cycle for some curves Manuscripta Mathematica, 131, 1-2, 149-177 Manuscripta Mathematica, 131, 1-2, 149-177 Manuscripta Mathematica, 131, 1-2, 149-177 2010/01 Refereed English Research paper(scientific journal) Disclose to all
Kazuhiko Yamaki 山木 壱彦 Kazuhiko Yamaki Effective calculation of the geometric height and the Bogomolov conjecture for hyperelliptic curves over function fields Effective calculation of the geometric height and the Bogomolov conjecture for hyperelliptic curves over function fields Effective calculation of the geometric height and the Bogomolov conjecture for hyperelliptic curves over function fields Journal of Mathematics of Kyoto University, 48, 2, 401-443 Journal of Mathematics of Kyoto University, 48, 2, 401-443 Journal of Mathematics of Kyoto University, 48, 2, 401-443 2008 Refereed English Research paper(scientific journal) Disclose to all
Kazuhiko Yamaki 山木 壱彦 Kazuhiko Yamaki A note on trees and linear algebraic groups over the polynomial rings A note on trees and linear algebraic groups over the polynomial rings A note on trees and linear algebraic groups over the polynomial rings RIMS Preprint, RIMS-1455 RIMS Preprint, RIMS-1455 RIMS Preprint, RIMS-1455 2004/05 English Research paper(bulletin of university, research institution) Disclose to all
Kazuhiko Yamaki 山木 壱彦 Kazuhiko Yamaki Cornalba-Harris equality for semistable hyperelliptic curves in positive characteristic Cornalba-Harris equality for semistable hyperelliptic curves in positive characteristic Cornalba-Harris equality for semistable hyperelliptic curves in positive characteristic Asian Journal of Mathematics, 8, 3, 409-426 Asian Journal of Mathematics, 8, 3, 409-426 Asian Journal of Mathematics, 8, 3, 409-426 2004 Refereed English Research paper(scientific journal) Disclose to all
Kazuhiko Yamaki 山木 壱彦 Kazuhiko Yamaki A direct proof of Moriwaki's inequality for semistably fibered surfaces and its generalization A direct proof of Moriwaki's inequality for semistably fibered surfaces and its generalization A direct proof of Moriwaki's inequality for semistably fibered surfaces and its generalization Journal of Mathematics of Kyoto University, 42, 3, 485-508 Journal of Mathematics of Kyoto University, 42, 3, 485-508 Journal of Mathematics of Kyoto University, 42, 3, 485-508 2002/12 Refereed English Research paper(scientific journal) Disclose to all
Kazuhiko Yamaki 山木 壱彦 Kazuhiko Yamaki Geometric Bogomolov's conjecture for curves of genus 3 over function fields Geometric Bogomolov's conjecture for curves of genus 3 over function fields Geometric Bogomolov's conjecture for curves of genus 3 over function fields Journal of Mathematics of Kyoto University, 42, 1, 57-81 Journal of Mathematics of Kyoto University, 42, 1, 57-81 Journal of Mathematics of Kyoto University, 42, 1, 57-81 2002/03 Refereed English Research paper(scientific journal) Disclose to all
Shu Kawaguchi, Atsushi Moriwaki, Kazuhiko Yamaki 川口周,森脇淳,山木壱彦 Shu Kawaguchi, Atsushi Moriwaki, Kazuhiko Yamaki Introduction to Arakelov geometry Introduction to Arakelov geometry Introduction to Arakelov geometry Algebraic geometry in East Asia (Kyoto, 2001), 1-74 Algebraic geometry in East Asia (Kyoto, 2001), 1-74 Algebraic geometry in East Asia (Kyoto, 2001), 1-74 2002 Refereed English Research paper(scientific journal) Disclose to all

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Title language:
Misc
Author Author(Japanese) Author(English) Title Title(Japanese) Title(English) Bibliography Bibliography(Japanese) Bibliography(English) Publication date Refereed paper Language Publishing type Disclose
Kazuhiko Yamaki 山木 壱彦 Kazuhiko Yamaki Effective faithful tropicalizations associated to linear systems on curves 曲線上の直線束の次数と曲線束に付随した忠実トロピカル化 Effective faithful tropicalizations associated to linear systems on curves 2016 代数幾何学シンポジウム 記録, 126-143 2016 代数幾何学シンポジウム 記録, 126-143 , 126-143 2017 Japanese Meeting report etc. Disclose to all
山木 壱彦 山木 壱彦 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) 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) 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, 79-91 射影多様体の幾何とその周辺2014報告集, 79-91 射影多様体の幾何とその周辺2014報告集, 79-91 2015/02 Japanese Meeting report etc. Disclose to all
山木 壱彦 山木 壱彦 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 アーベル多様体に対する幾何的ボゴモロフ予想 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) 第58回代数学シンポジウム(報告集) 第58回代数学シンポジウム(報告集) 2013 Japanese Meeting report etc. Disclose to all
山木 壱彦 山木 壱彦 山木 壱彦 Cornalba-Harris equality for semistable hyperelliptic curves in positive characteristic Cornalba-Harris equality for semistable hyperelliptic curves in positive characteristic 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, 87-94 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, 87-94 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, 87-94 2002/01 Japanese Meeting report etc. Disclose to all
山木 壱彦 山木 壱彦 山木 壱彦 函数体上のボゴモロフ予想について 函数体上のボゴモロフ予想について 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, 44-49 代数幾何学シンポジューム 記録, 44-49 代数幾何学シンポジューム 記録, 44-49 1999/11 Japanese Meeting report etc. Disclose to all
Title language:
Conference Activities & Talks
Title Title(Japanese) Title(English) Conference Conference(Japanese) Conference(English) Promotor Promotor(Japanese) Promotor(English) Date Language Assortment Disclose
Ample divisors on tropical toric varieties[Invited] Ample divisors on tropical toric varieties [Invited] Ample divisors on tropical toric varieties [Invited] 京都代数幾何セミナー 京都代数幾何セミナー 2019/04/19 Japanese Public discourse, seminar, tutorial, course, lecture and others Disclose to all
幾何的ボゴモロフ予想と非アルキメデス的幾何[Invited] 幾何的ボゴモロフ予想と非アルキメデス的幾何 [Invited] 幾何的ボゴモロフ予想と非アルキメデス的幾何 [Invited] 日本数学会年会 日本数学会年会 日本数学会年会 2019/03/20 Japanese Oral presentation(invited, special) Disclose to all
Ample divisors on tropical toric varieties[Invited] Ample divisors on tropical toric varieties [Invited] Ample divisors on tropical toric varieties [Invited] The 14th Kagoshima Algebra-Analysis-Geometry Seminar The 14th Kagoshima Algebra-Analysis-Geometry Seminar The 14th Kagoshima Algebra-Analysis-Geometry Seminar 2019/02/12 English Oral presentation(invited, special) Disclose to all
Skeleton of a strictly semistable pair (survey)[Invited] Skeleton of a strictly semistable pair (survey) [Invited] Skeleton of a strictly semistable pair (survey) [Invited] 第6回代数幾何学研究集会-宇部- 第6回代数幾何学研究集会-宇部- 2019/01/13 Japanese Oral presentation(invited, special) Disclose to all
有限グラフの因子及び射影曲線の因子の階数と特殊化[Invited] 有限グラフの因子及び射影曲線の因子の階数と特殊化 [Invited] 有限グラフの因子及び射影曲線の因子の階数と特殊化 [Invited] 立命館大学 数理科学科談話会 立命館大学 数理科学科談話会 立命館大学 数理科学科談話会 2018/12/13 Japanese Public discourse, seminar, tutorial, course, lecture and others Disclose to all
代数多様体の非アルキメデス的解析幾何とトロピカル化(IV)[Invited] 代数多様体の非アルキメデス的解析幾何とトロピカル化(IV) [Invited] 代数多様体の非アルキメデス的解析幾何とトロピカル化(IV) [Invited] 野田代数幾何学シンポジウム 2018 野田代数幾何学シンポジウム 2018 野田代数幾何学シンポジウム 2018 2018/03/29 Japanese Oral presentation(invited, special) Disclose to all
代数多様体の非アルキメデス的解析幾何とトロピカル化(III)[Invited] 代数多様体の非アルキメデス的解析幾何とトロピカル化(III) [Invited] 代数多様体の非アルキメデス的解析幾何とトロピカル化(III) [Invited] 野田代数幾何学シンポジウム 2018 野田代数幾何学シンポジウム 2018 野田代数幾何学シンポジウム 2018 2018/03/28 Japanese Oral presentation(invited, special) Disclose to all
代数多様体の非アルキメデス的解析幾何とトロピカル化(II)[Invited] 代数多様体の非アルキメデス的解析幾何とトロピカル化(II) [Invited] 代数多様体の非アルキメデス的解析幾何とトロピカル化(II) [Invited] 野田代数幾何学シンポジウム 2018 野田代数幾何学シンポジウム 2018 野田代数幾何学シンポジウム 2018 2018/03/27 Japanese Oral presentation(invited, special) Disclose to all
代数多様体の非アルキメデス的解析幾何とトロピカル化(I)[Invited] 代数多様体の非アルキメデス的解析幾何とトロピカル化(I) [Invited] 代数多様体の非アルキメデス的解析幾何とトロピカル化(I) [Invited] 野田代数幾何学シンポジウム 2018 野田代数幾何学シンポジウム 2018 野田代数幾何学シンポジウム 2018 2018/03/26 Japanese Oral presentation(invited, special) Disclose to all
Effective faithful tropicalizations associated to adjoint linear systems[Invited] Effective faithful tropicalizations associated to adjoint linear systems [Invited] Effective faithful tropicalizations associated to adjoint linear systems [Invited] Workshop: Log geometry, degenerations and related topics Workshop: Log geometry, degenerations and related topics Workshop: Log geometry, degenerations and related topics 2018/02/21 English Oral presentation(invited, special) Disclose to all
Geometric Bogomolov conjecture for curves[Invited] Geometric Bogomolov conjecture for curves [Invited] Geometric Bogomolov conjecture for curves [Invited] Séminaire de théorie des nombres Séminaire de théorie des nombres Séminaire de théorie des nombres 2017/09/25 English Oral presentation(invited, special) Disclose to all
Strict supports of the canonical measures and the geometric Bogomolov conjecture[Invited] Strict supports of the canonical measures and the geometric Bogomolov conjecture [Invited] Strict supports of the canonical measures and the geometric Bogomolov conjecture [Invited] Groupe d’Étude sur les Problèmes Diophantiens Groupe d’Étude sur les Problèmes Diophantiens Groupe d’Étude sur les Problèmes Diophantiens 2017/09/25 English Oral presentation(invited, special) Disclose to all
直線束を使った忠実トロピカル化:次元が高い場合でも言えること[Invited] 直線束を使った忠実トロピカル化:次元が高い場合でも言えること [Invited] 直線束を使った忠実トロピカル化:次元が高い場合でも言えること [Invited] 第5回 K3曲面・エンリケス曲面ワークショップ 第5回 K3曲面・エンリケス曲面ワークショップ 第5回 K3曲面・エンリケス曲面ワークショップ 2017/08/22 Japanese Oral presentation(invited, special) Disclose to all
Strict supports of canonical measures and applications to the geometric Bogomolov conjecture[Invited] Strict supports of canonical measures and applications to the geometric Bogomolov conjecture [Invited] Strict supports of canonical measures and applications to the geometric Bogomolov conjecture [Invited] Arakelov Geometry and diophantine applications Arakelov Geometry and diophantine applications Arakelov Geometry and diophantine applications 2017/06/29 English Oral presentation(invited, special) Disclose to all
曲線に対する幾何的ボゴモロフ予想の証明---代数幾何的な議論を中心に[Invited] 曲線に対する幾何的ボゴモロフ予想の証明---代数幾何的な議論を中心に [Invited] 曲線に対する幾何的ボゴモロフ予想の証明---代数幾何的な議論を中心に [Invited] 九大代数幾何セミナー 九大代数幾何セミナー 九大代数幾何セミナー 2017/05/18 Japanese Public discourse, seminar, tutorial, course, lecture and others Disclose to all
ベルコビッチ曲線の直線束に付随したトロピカル化[Invited] ベルコビッチ曲線の直線束に付随したトロピカル化 [Invited] ベルコビッチ曲線の直線束に付随したトロピカル化 [Invited] 野田代数幾何学シンポジウム 2017 野田代数幾何学シンポジウム 2017 野田代数幾何学シンポジウム 2017 2017/03/21 Japanese Oral presentation(invited, special) Disclose to all
Non-density of small points on divisors on abelian varieties and the Bogomolov conjecture[Invited] Non-density of small points on divisors on abelian varieties and the Bogomolov conjecture [Invited] Non-density of small points on divisors on abelian varieties and the Bogomolov conjecture [Invited] special events (higher invariants) special events (higher invariants) special events (higher invariants) 2016/09/27 English Public discourse, seminar, tutorial, course, lecture and others Disclose to all
Non-density of small points on divisors on abelian varieties and the Bogomolov conjecture[Invited] Non-density of small points on divisors on abelian varieties and the Bogomolov conjecture [Invited] Non-density of small points on divisors on abelian varieties and the Bogomolov conjecture [Invited] special events (higher invariants) special events (higher invariants) special events (higher invariants) 2016/09/20 English Public discourse, seminar, tutorial, course, lecture and others Disclose to all
幾何的ボゴモロフ予想について[Invited] 幾何的ボゴモロフ予想について [Invited] 幾何的ボゴモロフ予想について [Invited] 代数セミナー 代数セミナー 代数セミナー 2016/06/30 Japanese Public discourse, seminar, tutorial, course, lecture and others Disclose to all
Effective faithful tropicalizations associated to linear systems on curves[Invited] Effective faithful tropicalizations associated to linear systems on curves [Invited] Effective faithful tropicalizations associated to linear systems on curves [Invited] Tropical Geometry and Related Topics Tropical Geometry and Related Topics Tropical Geometry and Related Topics 2016/03/09 English Oral presentation(invited, special) Disclose to all
Introduction to Berkovich spaces and skeleta[Invited] Introduction to Berkovich spaces and skeleta [Invited] Introduction to Berkovich spaces and skeleta [Invited] Tropical Geometry and Related Topics Tropical Geometry and Related Topics Tropical Geometry and Related Topics 2016/03/08 English Public discourse, seminar, tutorial, course, lecture and others Disclose to all
The geometric Bogomolov conjecture for curves[Invited] The geometric Bogomolov conjecture for curves [Invited] The geometric Bogomolov conjecture for curves [Invited] Arithmetic and Algebraic Geometry 2016 Arithmetic and Algebraic Geometry 2016 Arithmetic and Algebraic Geometry 2016 2016/01/25 English Oral presentation(invited, special) Disclose to all
Bogomolov conjecture for curves over any function field Bogomolov conjecture for curves over any function field Bogomolov conjecture for curves over any function field Intercity Seminar on Arakelov Geometry Intercity Seminar on Arakelov Geometry Intercity Seminar on Arakelov Geometry 2015/09/07 English Oral presentation(invited, special) Disclose to all
Recent progress in the geometric Bogomolov conjecture[Invited] Recent progress in the geometric Bogomolov conjecture [Invited] Recent progress in the geometric Bogomolov conjecture [Invited] Non archimedean analytic Geometry: Theory and Practice Non archimedean analytic Geometry: Theory and Practice Non archimedean analytic Geometry: Theory and Practice 2015/08/28 English Oral presentation(invited, special) Disclose to all
函数体上の曲線に対するボゴモロフ予想[Invited] 函数体上の曲線に対するボゴモロフ予想 [Invited] 函数体上の曲線に対するボゴモロフ予想 [Invited] 第3回 K3曲面・エンリケス曲面ワークショップ 第3回 K3曲面・エンリケス曲面ワークショップ 第3回 K3曲面・エンリケス曲面ワークショップ 2015/08/17 Japanese Oral presentation(invited, special) Disclose to all
Recent Progress in the Geometric Bogomolov Conjecture 4[Invited] Recent Progress in the Geometric Bogomolov Conjecture 4 [Invited] Recent Progress in the Geometric Bogomolov Conjecture 4 [Invited] Higher Invariants Higher Invariants Higher Invariants 2015/03/31 English Public discourse, seminar, tutorial, course, lecture and others Disclose to all
Recent Progress in the Geometric Bogomolov Conjecture 3[Invited] Recent Progress in the Geometric Bogomolov Conjecture 3 [Invited] Recent Progress in the Geometric Bogomolov Conjecture 3 [Invited] Higher Invariants Higher Invariants Higher Invariants 2015/03/26 English Public discourse, seminar, tutorial, course, lecture and others Disclose to all
Recent Progress in the Geometric Bogomolov Conjecture 2[Invited] Recent Progress in the Geometric Bogomolov Conjecture 2 [Invited] Recent Progress in the Geometric Bogomolov Conjecture 2 [Invited] Higher Invariants Higher Invariants Higher Invariants 2015/03/19 English Public discourse, seminar, tutorial, course, lecture and others Disclose to all
Recent Progress in the Geometric Bogomolov Conjecture 1[Invited] Recent Progress in the Geometric Bogomolov Conjecture 1 [Invited] Recent Progress in the Geometric Bogomolov Conjecture 1 [Invited] Higher Invariants Higher Invariants Higher Invariants 2015/03/12 English Public discourse, seminar, tutorial, course, lecture and others Disclose to all
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)[Invited] 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) [Invited] 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) [Invited] 射影多様体の幾何とその周辺 2014 射影多様体の幾何とその周辺 2014 射影多様体の幾何とその周辺 2014 2014/11/02 Japanese Oral presentation(invited, special) Disclose to all
幾何的ボゴモロフ予想について[Invited] 幾何的ボゴモロフ予想について [Invited] 幾何的ボゴモロフ予想について [Invited] 研究集会「代数多様体とその周辺」 研究集会「代数多様体とその周辺」 研究集会「代数多様体とその周辺」 2014/09/30 Japanese Oral presentation(invited, special) Disclose to all
Strict supports of canonical measures and applications to the geometric Bogomolov conjecture[Invited] Strict supports of canonical measures and applications to the geometric Bogomolov conjecture [Invited] Strict supports of canonical measures and applications to the geometric Bogomolov conjecture [Invited] Special week: Berkovich spaces and applications Special week: Berkovich spaces and applications Special week: Berkovich spaces and applications 2014/06/27 English Oral presentation(invited, special) Disclose to all
Strict supports of canonical measures[Invited] Strict supports of canonical measures [Invited] Strict supports of canonical measures [Invited] Workshop "Regensburg days on non-archimedean geometry" Workshop "Regensburg days on non-archimedean geometry" Workshop "Regensburg days on non-archimedean geometry" 2013/10/02 English Oral presentation(invited, special) Disclose to all
アーベル多様体に対する幾何学的ボゴモロフ予想[Invited] アーベル多様体に対する幾何学的ボゴモロフ予想 [Invited] アーベル多様体に対する幾何学的ボゴモロフ予想 [Invited] 第58回代数学シンポジウム 第58回代数学シンポジウム 第58回代数学シンポジウム 日本数学会代数学分科会 日本数学会代数学分科会 2013/08/28 Japanese Oral presentation(invited, special) Disclose to all
Strict supports of canonical measures and applications to the geometric Bogomolov conjecture[Invited] Strict supports of canonical measures and applications to the geometric Bogomolov conjecture [Invited] Strict supports of canonical measures and applications to the geometric Bogomolov conjecture [Invited] Paris-Barcelona-Kyoto seminar in Arakelov geometry Paris-Barcelona-Kyoto seminar in Arakelov geometry Paris-Barcelona-Kyoto seminar in Arakelov geometry 2012/09/21 English Oral presentation(invited, special) Disclose to all
Geometric Bogomolov conjecture for abelian varieties and some results for those with some degeneration[Invited] Geometric Bogomolov conjecture for abelian varieties and some results for those with some degeneration [Invited] Geometric Bogomolov conjecture for abelian varieties and some results for those with some degeneration [Invited] Paris-Barcelona-Kyoto seminar in Arakelov geometry Paris-Barcelona-Kyoto seminar in Arakelov geometry Paris-Barcelona-Kyoto seminar in Arakelov geometry 2010/09/21 English Oral presentation(invited, special) Disclose to all
Recent development on the geometric Bogomolov conjecture[Invited] Recent development on the geometric Bogomolov conjecture [Invited] Recent development on the geometric Bogomolov conjecture [Invited] Sakura Workshop ”Torsion of abelian schemes and rational points on moduli spaces” Sakura Workshop ”Torsion of abelian schemes and rational points on moduli spaces” Sakura Workshop ”Torsion of abelian schemes and rational points on moduli spaces” 2010/01/25 English Oral presentation(invited, special) Disclose to all
グラフ不変量と曲線上の高さに関する話題[Invited] グラフ不変量と曲線上の高さに関する話題 [Invited] グラフ不変量と曲線上の高さに関する話題 [Invited] 代数幾何の関連する諸分野 代数幾何の関連する諸分野 代数幾何の関連する諸分野 2009/09/04 Japanese Oral presentation(invited, special) Disclose to all

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Title language:
Study / Research groups you organized
Group name Organization name Date
トロピカル幾何ワークショップ 2018/02/01
第二回トロピカル幾何ワークショップ 2018/12/21
External funds: competitive funds and Grants-in-Aid for Scientific Research (Kakenhi)
Type Position Title(Japanese) Title(English) Period
若手研究(B) Representative 代数多様体の高さのアラケロフ幾何的視点による研究とその応用 2009-2012
若手研究(B) Representative 非アルキメデス的幾何の研究と代数多様体の算術への応用 2014/04/01-2018/03/31
若手研究(B) Representative 非アルキメデス的幾何の研究と代数多様体の算術への応用 (平成26年度分) 2014/04/01-2015/03/31
若手研究(B) Representative 非アルキメデス的幾何の研究と代数多様体の算術への応用 (平成27年度分) 2015/04/01-2016/03/31
若手研究(B) Representative 非アルキメデス的幾何の研究と代数多様体の算術への応用 (平成28年度分) 2016/04/01-2017/03/31
若手研究(B) Representative 非アルキメデス的幾何の研究と代数多様体の算術への応用 (平成29年度分) 2017/04/01-2018/03/31
基盤研究(C)(一般) Representative 非アルキメデス的幾何のアラケロフ幾何への融合(平成30年度分) 2018/04/01-2019/03/31
基盤研究(B)(一般) Assignment Berkovich 解析空間とトロピカル幾何,代数・数論力学系の展開(平成30年度分) 2018/04/01-2019/03/31
基盤研究(C)(一般) Representative 非アルキメデス的幾何のアラケロフ幾何への融合 2018/04/01-2022/03/31
基盤研究(B)(一般) Assignment Berkovich 解析空間とトロピカル幾何,代数・数論力学系の展開 2018/04/01-2023/03/31
基盤研究(C) Representative 非アルキメデス的幾何のアラケロフ幾何への融合 (平成30年度分) 2018/04/01-2019/03/31

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Teaching subject(s)
Name(Japanese) Name(English) Term Department Period
線形代数学B Linear Algebra B 後期 全学共通科目 2011/04-2012/03
微分積分学続論B[再履修] Advanced Calculus B 前期 全学共通科目 2011/04-2012/03
数学基礎IIB[理系] Basic Mathematics IIB 後期 全学共通科目 2011/04-2012/03
数学基礎IIA[理系] Basic Mathematics IIA 前期 全学共通科目 2011/04-2012/03
微分積分学A[再履修] Calculus A 後期 全学共通科目 2011/04-2012/03
線形代数学A Linear Algebra A 前期 全学共通科目 2011/04-2012/03
微分積分学A Calculus A 後期 全学共通科目 2012/04-2013/03
微分積分学続論B Advanced Calculus B 前期 全学共通科目 2012/04-2013/03
線形代数学A Linear Algebra A 前期 全学共通科目 2012/04-2013/03
線形代数学B Linear Algebra B 後期 全学共通科目 2012/04-2013/03
微分積分学A Calculus A 後期 全学共通科目 2013/04-2014/03
線形代数学A Linear Algebra A 前期 全学共通科目 2013/04-2014/03
線形代数学B Linear Algebra B 後期 全学共通科目 2013/04-2014/03
微分積分学続論I−ベクトル解析 Advanced Calculus I - Vector Calculus 前期 全学共通科目 2013/04-2014/03
微分積分学続論II−微分方程式 Advanced Calculus II - Differential Equations 後期 全学共通科目 2013/04-2014/03
線形代数学続論 Advanced Linear Algebra 前期 全学共通科目 2013/04-2014/03
微分積分学A Calculus A 後期 全学共通科目 2014/04-2015/03
線形代数学A Linear Algebra A 前期 全学共通科目 2014/04-2015/03
線形代数学B Linear Algebra B 後期 全学共通科目 2014/04-2015/03
線形代数学B Linear Algebra B 前期 全学共通科目 2014/04-2015/03
微分積分学続論I-ベクトル解析 Advanced Calculus I - Vector Calculus 前期 全学共通科目 2015/04-2016/03
線形代数学A Linear Algebra A 前期 全学共通科目 2015/04-2016/03
線形代数学B Linear Algebra B 前期 全学共通科目 2015/04-2016/03
線形代数学B Linear Algebra B 後期 全学共通科目 2015/04-2016/03
代数学演義I Exercises in Algebra I 前期 理学部 2016/04/-2017/03
微分積分学(講義・演義)A Calculus with Exercises A 前期 全学共通科目 2016/04-2017/03
線形代数学(講義・演義)A Linear Algebra with Exercises A 前期 全学共通科目 2016/04-2017/03
線形代数学(講義・演義)B Linear Algebra with Exercises B 後期 全学共通科目 2016/04-2017/03
微分積分学(講義・演義)A Calculus with Exercises A 前期 全学共通科目 2017/04-2018/03
線形代数学(講義・演義)A Linear Algebra with Exercises A 前期 全学共通科目 2017/04-2018/03
線形代数学(講義・演義)B Linear Algebra with Exercises B 後期 全学共通科目 2017/04-2018/03
微分積分学(講義・演義)A Calculus with Exercises A 前期 全学共通科目 2018/04-2019/03
微分積分学(講義・演義)B Calculus with Exercises B 後期 全学共通科目 2018/04-2019/03
線形代数学(講義・演義)A Linear Algebra with Exercises A 前期 全学共通科目 2018/04-2019/03
線形代数学(講義・演義)B Linear Algebra with Exercises B 後期 全学共通科目 2018/04-2019/03
代数学演義I Exercises in Algebra I 前期 理学部 2019/04-2020/03
微分積分学(講義・演義)A Calculus with Exercises A 前期 全学共通科目 2019/04-2020/03
微分積分学(講義・演義)B Calculus with Exercises B 後期 全学共通科目 2019/04-2020/03
線形代数学(講義・演義)A Linear Algebra with Exercises A 前期 全学共通科目 2019/04-2020/03
線形代数学(講義・演義)B Linear Algebra with Exercises B 後期 全学共通科目 2019/04-2020/03
数学基盤研究 代数学 a 前期 理学研究科 2018/04/-2019/03/
数学特殊研究 b1 前期 理学研究科 2018/04/-2019/03/
数学基盤研究 代数学 b 後期 理学研究科 2018/04/-2019/03/
数学特殊研究 b2 後期 理学研究科 2018/04/-2019/03/
数学基盤研究 代数学 c 前期 理学研究科 2019/04/-2020/03/
数学特殊研究 b3 前期 理学研究科 2019/04/-2020/03/
数学基盤研究 代数学 d 後期 理学研究科 2019/04/-2020/03/
数学特殊研究 b4 後期 理学研究科 2019/04/-2020/03/

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School management (title, position)
Title Period
情報環境機構教育用コンピュータシステム運用委員会 委員 2011/04/01-2013/03/31
国際高等教育院 企画評価専門委員会 数学部会 委員 2013/04/01-2016/04/30
国際高等教育院 企画評価専門委員会 数学部会 委員 2016/05/01-2017/04/30
国際高等教育院 企画評価専門委員会 数学部会 委員 2017/05/01-2018/03/31
国際高等教育院 企画評価専門委員会 数学部会 委員 2018/04/01-
Faculty management (title, position)
Title Period
国際高等教育院 ハラスメント窓口相談員 2016/04/01-
国際高等教育院紀要編集委員 2017/04/01-
Other activities (magazines and newspapers)
Title Contents Media Column Date
類似を探る 代数体の多様体の算術と関数体上の多様体の算術の類似性について概説した。 数学セミナー 特集 2012/06/