Yamamoto Minoru 山本稔

… Alternative Names

YAMAMOTO Minoru 山本稔

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Researcher Number	40435475
Other IDs
Affiliation (Current)	2025: 弘前大学, 教育学部, 准教授
Affiliation (based on the past Project Information) *help	2020 – 2023: 弘前大学, 教育学部, 准教授 2013 – 2016: 弘前大学, 教育学部, 准教授 2009 – 2011: Aichi University of Education, 教育学部, 講師
Review Section/Research Field	Principal Investigator Geometry / Basic Section 11020:Geometry-related Except Principal Investigator Geometry / Basic Section 09080:Science education-related
Keywords	Principal Investigator 折り目写像 / レンズ空間 / 安定写像 / はめ込み / 3次元トポロジー / 折り目リフト / ジェネリックfolding / ジェネリックホモトピー / リフト / はめ込みの拡張 … More / モース型の不等式 / 向き付け可能な3次元閉多様体 / 安定な折り目写像 / コボルダント / はめ込みリフト / 3次元閉多様体 / ヒーガード分解 / 安定折り目写像 / 写像の拡張 / 埋め込み / 閉曲面の裏返し / 写像のリフト / 微分トポロジー … More Except Principal Investigator 特異ファイバー / データ可視化 / 特性類 / 特異点 / 可微分写像 / 同境 / 鍵概念 / 概念習得 / 接続教育 / 大学基礎教育 / 複層的理解 / ウェブ教材 / 数学活用 / フランス:ドイツ:ベトナム:ブラジル / フランス:ドイツ:ブラジル / 特異Lefschetz束 / 不変量 / 特異点解消 / 特異性類 / ブラジル：フランス / 国際研究者交流 / 配置空間 / 実多項式写像芽 / 構造安定性 / 同境群 / はめ込み / 埋め込み / 特異点消去 / 多項式写像芽 / 多項式の零点 / 絡み目 / アレキサンダー多項式 / 結び目 / 幾何学 / ザイフェルト曲面 / アレクサンダー多項式 / 結び目理論 / 国際研究者交流（フランス） / 多値関数 / 映像理論 / Vassiliev型不変量 / 写像空間 / 折り目付きレフシェッツ束 / カスプ / K-同値 / 符号数 / 複素射影平面 / 特異Lefschetz構造 / 障害類 / 同境理論 / 高さ関数 / 2次障害類 / 安定摂動 / モース写像 / 4次元有向同境群 / スペシャル・ジェネリック写像 / 位相不変量 / 曲面絡み目 / 多様体 / 接触 / レーブグラフ / 同境類 / 可微分多様体 / 可視化 / 多様体対 / ホモトピー原理 / 可微分構造 / 大域的特異点論 / 微分トポロジー Less

The design of interactive web contents for multi-faced understandings of mathematical concepts
- Principal Investigator
  
  Kobayashi Mahito
- Project Period (FY)
  2020 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 09080:Science education-related
- Research Institution
  Akita University
Study of 3-dimensional topology with a pair of stable map to the plane and its fold map liftPrincipal Investigator
- Principal Investigator
  
  Yamamoto Minoru
- Project Period (FY)
  2020 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Hirosaki University
Reconstruction of 2 and 3-dimensional closed manifolds by equi-dimensional stable maps and classification of embedding or immersion liftsPrincipal Investigator
- Principal Investigator
  
  Yamamoto Minoru
- Project Period (FY)
  2013 – 2016
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Hirosaki University
topological properties of knots and surfaces
- Principal Investigator
  
  Hirasawa Mikami
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Nagoya Institute of Technology
Structural Stability and Morphogenesis of Differentiable Maps
- Principal Investigator
  
  SAEKI OSAMU
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Geometry
- Research Institution
  Kyushu University
New developments of singularity theory of mappings
- Principal Investigator
  
  SAEKI OSAMU
- Project Period (FY)
  2011 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Kyushu University
Study of factorization of stable map using lift, extension and extension-liftPrincipal Investigator
- Principal Investigator
  
  YAMAMOTO Minoru
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Aichi University of Education
Global Theory of Singularities of Differentiable Maps and its Applications
- Principal Investigator
  
  SAEKI Osamu
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Kyushu University

All 2023 2022 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007

All Journal Article Presentation

[Journal Article] 基礎概念の習得を支援する数学Web教材の体験型コンテンツの試作2022
- Author(s)
  小林弥生　山本稔　横山洋之　小林真人
- Journal Title
  
  聖霊女子短期大学紀要第50号
  
  Volume: 50 Pages: 102-108
- Data Source
  KAKENHI-PROJECT-20K03268
[Journal Article] Views of real projective 3-space by stable maps into the plane2017
- Author(s)
  Mahito Kobayashi, Minoru Yamamoto
- Journal Title
  
  Experimental Mathematics
  
  Volume: 26 Issue: 2 Pages: 138-152
- DOI
  10.1080/10586458.2016.1142910
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25800032, KAKENHI-PROJECT-15K13438
[Journal Article] Interactive visualization for singular fibers of functions f : R^3 -> R^22016
- Author(s)
  D. Sakurai, O. Saeki, H. Carr, Hsiang-Yun Wu, T. Yamamoto, D. Duke, and S. Takahashi
- Journal Title
  
  IEEE Transactions on Visualization & Computer Graphics
  
  Volume: 22 Issue: 1 Pages: 945-954
- DOI
  10.1109/tvcg.2015.2467433
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K13438, KAKENHI-PLANNED-25120014, KAKENHI-PROJECT-23244008, KAKENHI-PROJECT-26730061
[Journal Article] 三角数の交代和による表示と高次元化2016
- Author(s)
  田中義久，山本稔
- Journal Title
  
  日本数学教育学会誌数学教育70-2
  
  Volume: 98 Pages: 3-10
- NAID
  130007936105
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25800032
[Journal Article] Singular fibers of stable maps of 3-manifolds with boundary into surfaces and their applications2016
- Author(s)
  O. Saeki and T. Yamamoto
- Journal Title
  
  Algebr. Geom. Topol.
  
  Volume: 未定
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-23244008
[Journal Article] Cobordism group of Morse functions on surfaces with boundary2016
- Author(s)
  O. Saeki and T. Yamamoto
- Journal Title
  
  Proc. XIII International Workshop on Real and Complex Singularities, Sao Carlos, 2014
  
  Volume: 未定
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-23244008
[Journal Article] Survey of apparent contours of stable maps between surfaces2014
- Author(s)
  T. Yamamoto
- Journal Title
  
  Advanced Studies in Pure Mathematics (Proc. Real and Complex Singularities)
  
  Volume: (印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23654028
[Journal Article] Survey of apparent contours of stable maps between surfaces2014
- Author(s)
  Takahiro Yamamoto
- Journal Title
  
  Advanced Studies in Pure Mathematics (Proc. Real and Complex Singularities, Sao Carlos, 2012)
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23654028
[Journal Article] Visualizing multivariate data using singularity theory2014
- Author(s)
  O. Saeki, S. Takahashi, D. Sakurai, Hsiang-Yun Wu, K. Kikuchi, H. Carr, D. Duke, and T. Yamamoto
- Journal Title
  
  The Impact of Applications on Mathematics, Proceedings of Forum “Math-for-Industry” 2013
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23244008
[Journal Article] Visualizing multivariate data using singularity theory, The Impact of Applications on Mathematics2014
- Author(s)
  O. Saeki, S. Takahashi, D. Sakurai, Hsiang-Yun Wu, K. Kikuchi, H. Carr, D. Duke, and T. Yamamoto
- Journal Title
  
  Proceedings of Forum "Math-for-Industry"2013
  
  Volume: (印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23654028
[Journal Article] Visualizing multivariate data using singularity theory2014
- Author(s)
  O. Saeki, S. Takahashi, D. Sakurai, Hsiang-Yun Wu, K. Kikuchi, H. Carr, D. Duke, and T. Yamamoto
- Journal Title
  
  The Impact of Applications on Mathematics, Proceedings of Forum "Math-for-Industry" 2013, Mathematics-for-Industry, Springer
  
  Volume: 1 Pages: 51-65
- DOI
  10.1007/978-4-431-54907-9_4
- ISBN
  9784431549062, 9784431549079
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23244008, KAKENHI-PROJECT-25540041
[Journal Article] Visualizing multivariate data using singularity theory2014
- Author(s)
  O. Saeki, S. Takahashi, D. Sakurai, Hsiang-Yun Wu, K. Kikuchi, H. Carr, D. Duke, and T. Yamamoto
- Journal Title
  
  The Impact of Applications on Mathematics, Proceedings of Forum “Math-for-Industry” 2013, Springer
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23654028
[Journal Article] On embedding lifts over a Morse function on a circle2013
- Author(s)
  Minoru Yamamoto
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B38 Pages: 31-43
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25800032
[Journal Article] Immersed extension-loft over a Morse function2011
- Author(s)
  Minoru YAMAMOTO
- Journal Title
  
  Topology and its Applications
  
  Volume: 158 Pages: 611-619
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740058
[Journal Article] Apparent contours of stable maps into the sphere2011
- Author(s)
  T. Fukuda and T. Yamamoto
- Journal Title
  
  Journal of Singularities
  
  Volume: 3巻 Pages: 113-125
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23654028
[Journal Article] On immersed oriented surfaces and their plane projections2011
- Author(s)
  山本稔
- Journal Title
  
  数理解析研究所講究録
  
  Volume: No.1764 Pages: 165-173
- Data Source
  KAKENHI-PROJECT-21740058
[Journal Article] Immersed extension-lift over a Morse function2011
- Author(s)
  Minoru YAMAMOTO
- Journal Title
  
  Topology and its Applications
  
  Volume: No.158 Pages: 611-619
- NAID
  120002830457
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740058
[Journal Article] The number of singular set components of fold maps between oriented surfaces2009
- Author(s)
  Minoru Yamamoto
- Journal Title
  
  Houston Journal of Mathematics 35
  
  Pages: 1051-1069
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740058
[Journal Article] The number of singular set components of fold maps between oriented surfaces2009
- Author(s)
  Minoru YAMAMOTO
- Journal Title
  
  Houston Journal of Mathematics
  
  Volume: No.35 Pages: 1051-1069
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740058
[Journal Article] Pseudo-immersions of oriented surfaces with one boundary component into the plane2009
- Author(s)
  Minoru YAMAMOTO
- Journal Title
  
  Proceedings of the Royal Society of Edinburgh Section A. Mathematics
  
  Volume: No.139 Pages: 1327-1335
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740058
[Journal Article] Pseudo-immersions of oriented surfaces with one boundary component into the plane2009
- Author(s)
  Minoru Yamamoto
- Journal Title
  
  Proceedings of the Royal Society of Edinburgh. Section A.Mathematics 139
  
  Pages: 1327-1335
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740058
[Journal Article] The number of singular set components of fold maps between oriented surfaces2008
- Author(s)
  M. Yamamoto
- Journal Title
  
  Houston Journal of Mathematics (掲載決定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340018
[Journal Article] Lifting a generic map of a surface into the plane to an embedding into4-space2008
- Author(s)
  M. Yamamoto
- Journal Title
  
  Illinois Journal of Mathematics (掲載決定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340018
[Journal Article] Singular fibers and characteristic classes2007
- Author(s)
  O. Saeki, T. Yamamoto
- Journal Title
  
  Topology Appl. Vol.155
  
  Pages: 112-120
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340018
[Journal Article] Lifting a generic map of a surface into the plane to an embedding into 4-space2007
- Author(s)
  M.Yamamoto
- Journal Title
  
  Illinois J.Math. 51
  
  Pages: 705-721
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340018
[Presentation] 3次元球面から3次元空間への折り目写像間のジェネリックホモトピーについて（経過報告）2023
- Author(s)
  山本稔
- Organizer
  Singularities of Differentiable Maps and Its Applications -In commemoration of Goo Ishikawa's all years of hard work-
- Data Source
  KAKENHI-PROJECT-20K03574
[Presentation] 3次元球面から3次元空間への折り目写像間のジェネリックホモトピーについて（経過報告）2023
- Author(s)
  山本稔
- Organizer
  写像による多様体の可視化勉強会　フレッシュマンセミナー5
- Data Source
  KAKENHI-PROJECT-20K03574
[Presentation] 閉折れ線の全周投影変換を用いた幾何公式の証明2023
- Author(s)
  小林真人，佐野貴志，山本稔
- Organizer
  日本数学会
- Data Source
  KAKENHI-PROJECT-20K03268
[Presentation] 2次形式の組から得られる平面へのgeneric foldingについて2022
- Author(s)
  山本稔
- Organizer
  2021年度日本数学会東北支部会
- Data Source
  KAKENHI-PROJECT-20K03574
[Presentation] レンズ空間L(p,p-3)からR^3への折り目写像の構成2022
- Author(s)
  山本稔
- Organizer
  多様体と特異点
- Data Source
  KAKENHI-PROJECT-20K03574
[Presentation] Construction of fold map of lens space L(p,1) where singular set is a torus2016
- Author(s)
  Minoru Yamamoto
- Organizer
  Singularity theory of differential maps and its applications
- Place of Presentation
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-25800032
[Presentation] 3次元兵多様体から3次元空間への折り目写像の構成について2016
- Author(s)
  山本稔
- Organizer
  特異点の大域的研究
- Place of Presentation
  兵庫教育大学神戸ハーバーランドキャンパス
- Data Source
  KAKENHI-PROJECT-25800032
[Presentation] Stable fold maps of oriented 3-manifolds to 3-space (ポスター発表)2015
- Author(s)
  Minoru Yamamoto
- Organizer
  Singularities in Generic Geometry and its applications --Kobe-Kyoto 2015 (Valencia IV)--
- Place of Presentation
  神戸大学
- Year and Date
  2015-06-05
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25800032
[Presentation] トーラスを折り目とする3次元球面から3次元空間への折り目写像の構成法について2014
- Author(s)
  山本稔
- Organizer
  研究集会「多様体のトポロジーの展望」
- Place of Presentation
  東京大学大学院数理科学研究科
- Year and Date
  2014-11-29
- Data Source
  KAKENHI-PROJECT-25800032
[Presentation] 境界付き多様体上の安定写像とその特異ファイバー2014
- Author(s)
  山本卓宏
- Organizer
  接触構造，特異点，微分方程式及びその周辺
- Place of Presentation
  高知市文化プラザかるぽーと
- Data Source
  KAKENHI-PROJECT-23654028
[Presentation] Extension of immersed circles in the plane to a surface (Introduction of the works of Blank and Francis)2014
- Author(s)
  山本稔
- Organizer
  Kobe Studio Seminar for Studies with Renderman
- Place of Presentation
  神戸大学
- Year and Date
  2014-10-25
- Data Source
  KAKENHI-PROJECT-25800032
[Presentation] 境界付き多様体上の安定写像芽について2014
- Author(s)
  山本卓宏
- Organizer
  第130回日本数学会九州支部会
- Place of Presentation
  琉球大学
- Year and Date
  2014-02-15
- Data Source
  KAKENHI-PROJECT-23654028
[Presentation] 境界付き多様体上の安定写像とその特異ファイバー2014
- Author(s)
  山本卓宏
- Organizer
  接触構造, 特異点, 微分方程式及びその周辺
- Place of Presentation
  高知市文化プラザかるぽーと
- Year and Date
  2014-01-09
- Data Source
  KAKENHI-PROJECT-23654028
[Presentation] 境界付き多様体上の安定写像芽について2014
- Author(s)
  山本卓宏
- Organizer
  第130回　日本数学会九州支部会
- Place of Presentation
  琉球大学
- Data Source
  KAKENHI-PROJECT-23654028
[Presentation] 境界付き3次元多様体から平面への安定写像の特異ファイバーとその応用2013
- Author(s)
  山本卓宏
- Organizer
  第129回日本数学会九州支部会
- Place of Presentation
  宮崎大学
- Year and Date
  2013-10-26
- Data Source
  KAKENHI-PROJECT-23654028
[Presentation] 境界付き3次元多様体から平面への安定写像の特異ファイバーとその応用2013
- Author(s)
  山本卓宏
- Organizer
  第129回　日本数学会九州支部会
- Place of Presentation
  宮崎大学
- Data Source
  KAKENHI-PROJECT-23654028
[Presentation] Geography of the singularities of stable maps of closed surfaces2012
- Author(s)
  山本卓宏
- Organizer
  可微分写像の特異点論とその応用
- Place of Presentation
  日本大学文理学部
- Year and Date
  2012-12-11
- Data Source
  KAKENHI-PROJECT-23654028
[Presentation] Geography of the singularities of stable maps of closed surfaces into the plane2012
- Author(s)
  山本卓宏
- Organizer
  第127回　日本数学会九州支部会
- Place of Presentation
  大分大学
- Data Source
  KAKENHI-PROJECT-23654028
[Presentation] 球面の裏返し(new method)2012
- Author(s)
  山本稔・平澤美可三
- Organizer
  名城大学幾何セミナー
- Place of Presentation
  名城大学
- Year and Date
  2012-02-28
- Data Source
  KAKENHI-PROJECT-21740058
[Presentation] Topology of the singular value sets of stable maps2012
- Author(s)
  山本卓宏
- Organizer
  The 7th Kagoshima Algebra-Analysis-Geometry Seminar
- Place of Presentation
  鹿児島大学理学部
- Year and Date
  2012-02-14
- Invited
- Data Source
  KAKENHI-PROJECT-23654028
[Presentation] Topology of the set of singular values of stable maps2012
- Author(s)
  T. Yamamoto
- Organizer
  The 12th International Workshop on Real and Complex Singularities
- Place of Presentation
  ICMC-USP, Brazil
- Year and Date
  2012-07-24
- Data Source
  KAKENHI-PROJECT-23654028
[Presentation] Geography of the singularities of stable maps of closed surfaces into the plane2012
- Author(s)
  山本卓宏
- Organizer
  第127回日本数学会九州支部会
- Place of Presentation
  大分大学
- Year and Date
  2012-10-27
- Data Source
  KAKENHI-PROJECT-23654028
[Presentation] Topology of the singular value sets of stable maps2012
- Author(s)
  山本卓宏
- Organizer
  The 7th Kagoshima Algebra-Analysis-Geometry Seminar(招待講演)
- Place of Presentation
  鹿児島大学理学部
- Data Source
  KAKENHI-PROJECT-23654028
[Presentation] 空間内にはめ込まれた閉曲面とその平面像との関係2011
- Author(s)
  山本稔
- Organizer
  近畿大学数学教室講演会
- Place of Presentation
  近畿大学
- Year and Date
  2011-01-21
- Data Source
  KAKENHI-PROJECT-21740058
[Presentation] 安定な可微分写像の特異点と特異値集合について2011
- Author(s)
  山本卓宏
- Organizer
  トポロジーシンポジウム(招待講演)
- Place of Presentation
  筑波大学
- Data Source
  KAKENHI-PROJECT-23654028
[Presentation] 安定な可微分写像の特異点と特異値集合について2011
- Author(s)
  山本卓宏
- Organizer
  トポロジーシンポジウム
- Place of Presentation
  筑波大学
- Year and Date
  2011-08-10
- Invited
- Data Source
  KAKENHI-PROJECT-23654028
[Presentation] 空間内の閉曲面とその平面像について2010
- Author(s)
  山本稔
- Organizer
  結び目の数理セミナーKnotting Nagoya
- Place of Presentation
  名古屋市立大学
- Year and Date
  2010-08-21
- Data Source
  KAKENHI-PROJECT-21740058
[Presentation] On immersed oriented surfaces and their plane projections2010
- Author(s)
  山本稔
- Organizer
  実閉体上の幾何と特異点論への応用
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2010-12-03
- Data Source
  KAKENHI-PROJECT-21740058
[Presentation] Pseudo-immersions of oriented surfaces with one boundary component into the plane2009
- Author(s)
  Minoru YAMAMOTO
- Organizer
  Manifolds and mappings seminar
- Place of Presentation
  Moscow State University
- Year and Date
  2009-08-21
- Data Source
  KAKENHI-PROJECT-21740058
[Presentation] On pseudo-immersions of a surface into the plane2007
- Author(s)
  M. Yamamoto
- Organizer
  The second Japanese-Australian Workshop on Real and Complex Singularities
- Place of Presentation
  京都大学
- Year and Date
  2007-11-28
- Data Source
  KAKENHI-PROJECT-19340018

1. SAEKI Osamu (30201510)

# of Collaborated Projects: 3 results

# of Collaborated Products: 8 results
2. OHMOTO Toru (20264400)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
3. KOBAYASHI Mahito (10261645)

# of Collaborated Projects: 3 results

# of Collaborated Products: 2 results
4. TAKASE Masamichi (30447718)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
5. YAMAMOTO Takahiro (60435972)

# of Collaborated Projects: 3 results

# of Collaborated Products: 29 results
6. SAKUMA Kazuhiro (80270362)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. IWASE Norio (60213287)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
8. TAKATA Toshie (40253398)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
9. ANDO Yoshifumi (80001840)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. TAKAYAMA Haruko (90274430)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. OKUMA Tomohiro (00300533)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. Hirasawa Mikami (00337908)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. YOKURA Shoji (60182680)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. KAMADA Seiichi (60254380)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. ISHIKAWA Masaharu (10361784)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. FUKUI Toshizumi (90218892)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. ISHIKAWA Goo (50176161)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. ASHIKAGA Tadashi (90125203)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. KATANAGA Atsuko (20373128)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. TAKEUCHI Kiyoshi (70281160)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. 小林弥生 (40837134)

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
22. 横山洋之 (80250900)

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
23. MURASUGI Kunio

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. SAKURAI Daisuke

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results
25. 高橋成雄

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Yamamoto Minoru 山本 稔

YAMAMOTO Minoru 山本 稔

Research Projects

Research Products

Co-Researchers

The design of interactive web contents for multi-faced understandings of mathematical concepts

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Study of 3-dimensional topology with a pair of stable map to the plane and its fold map liftPrincipal Investigator

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Reconstruction of 2 and 3-dimensional closed manifolds by equi-dimensional stable maps and classification of embedding or immersion liftsPrincipal Investigator

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topological properties of knots and surfaces

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Structural Stability and Morphogenesis of Differentiable Maps

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New developments of singularity theory of mappings

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Study of factorization of stable map using lift, extension and extension-liftPrincipal Investigator

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Global Theory of Singularities of Differentiable Maps and its Applications

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[Journal Article] 基礎概念の習得を支援する数学Web教材の体験型コンテンツの試作2022

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[Journal Article] Views of real projective 3-space by stable maps into the plane2017

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[Journal Article] Interactive visualization for singular fibers of functions f : R^3 -> R^22016

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[Journal Article] 三角数の交代和による表示と高次元化2016

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NAID

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[Journal Article] Singular fibers of stable maps of 3-manifolds with boundary into surfaces and their applications2016

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[Journal Article] Cobordism group of Morse functions on surfaces with boundary2016

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Yamamoto Minoru 山本稔

YAMAMOTO Minoru 山本稔