Kasahara Yasushi 笠原泰

… Alternative Names

KASAHARA Yasushi 笠原泰

笹原泰ササハラヤスシ

笠原秦カサハラヤスシ

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Researcher Number	80299370
Other IDs
Affiliation (Current)	2025: 高知工科大学, 共通教育教室, 准教授
Affiliation (based on the past Project Information) *help	2025: 高知工科大学, 共通教育教室, 准教授 2016 – 2023: 高知工科大学, 共通教育教室, 准教授 2011 – 2013: 高知工科大学, 工学部, 准教授 2009: 高知工科大学, 准教授 2004: 高知工科大学, 工学部, 助教授 1999 – 2003: 高知工科大学, 工学部, 講師
Review Section/Research Field	Principal Investigator Basic Section 11020:Geometry-related / Geometry / Geometry Except Principal Investigator Basic analysis / Geometry / Geometry
Keywords	Principal Investigator 写像類群 / 線型表現 / 曲線複体 / 幾何的群論 / 位相幾何 / 曲線加群 / Johnson filtration / 幾何的交叉 / 曲面の写像類群 / トポロジー … More / 曲線グラフ / 表現空間 / 変形空間 / 線形表現 / Torelli群 / Jones表現 / 曲面 … More Except Principal Investigator リーマン面 / モジュライ空間 / 写像類群 / Connection formulas / Movable saddle point method / Turning point / The canonical domain / The Stokes curves / Asymptotic expansion / The complex WKB methods / 新ストークス曲線 / shadow region / 鞍部点法 / Fedoryuk理論 / 接続公式 / 動く鞍部点法 / 変わり点 / 特性領域 / ストークス曲線 / 漸近展開 / 複素WKB法 / mapping class group / Magnus expansion / hyperelliptic mapping class group / Bruschi-Calogero equation / surface symmetry / Morita-Mumford classes / moduli space / Riemann surface / 楕円函数 / ジョンソン準同型 / 森田・マニフォード類 / マグナス展開 / 超楕円的写像類群 / ブルスキ・カロジェロ方程式 / 曲面の対称性 / 森田・マンフォード類 / Morita-Mumford類 / 実解析的微分同相群 / 有限型不変量 / 葉層構造 / Hamiltonベクトル場 / ループ空間 / 微分同相群 / ゲージ理論 / 位相不変量 / ホモロジー3球面 / ホモロジーシリンダー / 量子化予想 / 局所化 / 絶対ガロア群 / シンプレクティック微分 / Gel'fand-Kalinin-Fuks理論 / 葉層構造の特性類 / 自由群 / 4次元多様体 / 3次元多様体 / シンプレクティック幾何学 / グラフ Less

曲面の写像類群における線型性の視覚化の多角的研究Principal Investigator
- Principal Investigator
  
  笠原泰
- Project Period (FY)
  2025 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Kochi University of Technology
曲面の写像類群における線型性の視覚化の深化Principal Investigator
- Principal Investigator
  
  笠原泰
- Project Period (FY)
  2019 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Kochi University of Technology
Visualization of the linearity for mapping class group and its relation to topologyPrincipal Investigator
- Principal Investigator
  
  Kasahara Yasushi
- Project Period (FY)
  2016 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kochi University of Technology
Fosterage of the visualization of the linearity for mapping class groups of surfacesPrincipal Investigator
- Principal Investigator
  
  KASAHARA Yasushi
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kochi University of Technology
Geometry of Groups and Moduli Spaces (2)
- Principal Investigator
  
  MORITA Shigeyuki
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo
曲面の写像類群のJones表現と関連する位相幾何Principal Investigator
- Principal Investigator
  
  笠原泰
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Kochi University of Technology
A topological study of the moduli space of Riemann surface
- Principal Investigator
  
  KAWAZUMI Nariya
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo
The Asymptotic Theory of Solutions of Differential Equations
- Principal Investigator
  
  NISHIMOTO Toshihiko
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kochi University of Technology

All 2023 2022 2019 2018 2017 2016 2014 2013 2012 2011 2004

All Journal Article Presentation

[Journal Article] Crossed homomorphisms and low dimensional representations of mapping class groups of surfaces2023
- Author(s)
  Yasushi Kasahara
- Journal Title
  
  Transactions of the American Mathematical Society
  
  Volume: 377 Issue: 2 Pages: 1183-1218
- DOI
  10.1090/tran/9037
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03498
[Journal Article] Geometric intersection in representations of mapping class groups of surfaces2017
- Author(s)
  Yasushi Kasahara
- Journal Title
  
  Topology and its Applications
  
  Volume: 217 Pages: 31-37
- DOI
  10.1016/j.topol.2016.12.005
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-16K05154
[Journal Article] On visualization of the linearity problem for mapping class groups of surfaces2014
- Author(s)
  Yasushi Kasahara
- Journal Title
  
  Geometriae Dedicata
  
  Volume: 未定 Issue: 1 Pages: 295-304
- DOI
  10.1007/s10711-014-9968-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540102
[Journal Article] The Birman exact sequence and a visualization of the linearity for mapping class group2012
- Author(s)
  Yasushi Kasahara
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 1777 Pages: 57-58
- Data Source
  KAKENHI-PROJECT-23540102
[Journal Article] Addendum to: "An expansion of the Jones representation of genus 2 and the Torelli group"2011
- Author(s)
  Yasushi Kasahara
- Journal Title
  
  Journal of Knot Theory and its Ramifications
  
  Volume: 20 Issue: 06 Pages: 939-941
- DOI
  10.1142/s0218216511009029
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540102
[Journal Article] An expansion of the Jones representation of genus 2 and the Torelli group II2004
- Author(s)
  笠原泰
- Journal Title
  
  Journal of Knot Theory and its Ramifications 13・2
  
  Pages: 297-306
- Data Source
  KAKENHI-PROJECT-14740052
[Presentation] ねじれ準同型と曲面の写像類群の低次元表現2022
- Author(s)
  笠原泰
- Organizer
  研究集会「Groups in Low-Dimensional Topology」
- Invited
- Data Source
  KAKENHI-PROJECT-19K03498
[Presentation] 高種数写像類群の低次元複素線型表現について2019
- Author(s)
  笠原泰
- Organizer
  研究集会「リーマン面に関連する位相幾何学」
- Invited
- Data Source
  KAKENHI-PROJECT-16K05154
[Presentation] 高種数写像類群の低次元複素線型表現について2019
- Author(s)
  笠原泰
- Organizer
  研究集会「リーマン面に関連する位相幾何学」
- Invited
- Data Source
  KAKENHI-PROJECT-19K03498
[Presentation] 種数gの写像類群の2g+1次元線型表現について2018
- Author(s)
  笠原泰
- Organizer
  日本数学会2018年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-16K05154
[Presentation] On simple closed curves and a visualization of the linerarity for mapping class group of surface2016
- Author(s)
  Yasushi Kasahara
- Organizer
  研究集会 "Topology and Geometry of Low-dimensional Manifolds"
- Place of Presentation
  奈良女子大学(奈良県奈良市)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05154
[Presentation] 曲面の写像類群の線型性問題の視覚化について2016
- Author(s)
  笠原泰
- Organizer
  第63回トポロジーシンポジウム
- Place of Presentation
  神戸大学出光佐三記念六甲台講堂(兵庫県神戸市)
- Invited
- Data Source
  KAKENHI-PROJECT-16K05154
[Presentation] 曲面の写像類群における単純閉曲線と線型性の視覚化について2016
- Author(s)
  笠原泰
- Organizer
  研究集会「リーマン面に関連する位相幾何学」
- Place of Presentation
  東京大学大学院数理科学研究科(東京都目黒区)
- Invited
- Data Source
  KAKENHI-PROJECT-16K05154
[Presentation] On visualization of the linearity problem for mapping class groups of surfaces, I, II2013
- Author(s)
  笠原泰
- Organizer
  Special Program on Teichmuller Theory
- Place of Presentation
  Erwin Schrodinger Institute (オーストリア)
- Invited
- Data Source
  KAKENHI-PROJECT-23540102
[Presentation] On visualization of the linearity problem for mapping class groups of surfaces I2013
- Author(s)
  Yasushi Kasahara
- Organizer
  Special Program on Teichmueller Theory
- Place of Presentation
  Erwin Schroedinger Institute, Vienna, Austria
- Year and Date
  2013-02-18
- Data Source
  KAKENHI-PROJECT-23540102
[Presentation] Invariants of representations of the Kauffman skein algebra and the quantum Teichmueller space2013
- Author(s)
  笠原泰
- Organizer
  研究集会「曲面の写像類群に関連する幾何と代数」
- Place of Presentation
  強羅静雲荘
- Year and Date
  2013-12-21
- Data Source
  KAKENHI-PROJECT-23540102
[Presentation] On visualization of the linearity problem for mapping class groups of surfacesII, Special Program on Teichmueller Theory2013
- Author(s)
  Yasushi Kasahara
- Place of Presentation
  Erwin Schroedinger Institute, Vienna, Austria
- Year and Date
  2013-02-18
- Data Source
  KAKENHI-PROJECT-23540102
[Presentation] The Birman exact sequence and the linearity of mapping class group of surface2011
- Author(s)
  Yasushi Kasahara
- Organizer
  短期共同研究 "Geometric and analytic approaches to representations of a group and representation spaces"(招待講演)
- Place of Presentation
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-23540102

1. MORITA Shigeyuki (70011674)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
2. KAWAZUMI Nariya (30214646)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
3. AKITA Toshiyuki (30279252)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
4. HIROSE Susumu (10264144)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. FURUTA Mikio (50181459)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. TSUBOI Takashi (40114566)

# of Collaborated Projects: 1 results

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7. KOHNO Toshitake (80144111)

# of Collaborated Projects: 1 results

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8. MATSUMOTO Makoto (70231602)

# of Collaborated Projects: 1 results

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9. MITSUMATSU Yoshihiko (70190725)

# of Collaborated Projects: 1 results

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10. KITANO Teruaki (90272658)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. FUJIWARA Koji (60229078)

# of Collaborated Projects: 1 results

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12. MURAKAMI Jun (90157751)

# of Collaborated Projects: 1 results

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13. MORIFUJI Takayuki (90334466)

# of Collaborated Projects: 1 results

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14. SUZUKI Masaaki (70431616)

# of Collaborated Projects: 1 results

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15. SAKASAI Takuya (60451902)

# of Collaborated Projects: 1 results

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16. OHBA Kiyoshi (80242337)

# of Collaborated Projects: 1 results

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17. MATSUMOTO Yukio (20011637)

# of Collaborated Projects: 1 results

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18. SHIBUKAWA Youichi (90241299)

# of Collaborated Projects: 1 results

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19. NISHIMOTO Toshihiko (60016061)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. SEKIGUCHI Kouji (80163096)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. INOUE Masaaki (50168465)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. 皆川宏之 (30241300)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. 橋本義武 (20271182)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. DIETER Kotschick

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. ROBERT Penner

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Kasahara Yasushi 笠原 泰

KASAHARA Yasushi 笠原 泰

笹原 泰 ササハラ ヤスシ

笠原 秦 カサハラ ヤスシ

Research Projects

Research Products

Co-Researchers

曲面の写像類群における線型性の視覚化の多角的研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

曲面の写像類群における線型性の視覚化の深化Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Visualization of the linearity for mapping class group and its relation to topologyPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Fosterage of the visualization of the linearity for mapping class groups of surfacesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Geometry of Groups and Moduli Spaces (2)

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

曲面の写像類群のJones表現と関連する位相幾何Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

A topological study of the moduli space of Riemann surface

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

The Asymptotic Theory of Solutions of Differential Equations

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Crossed homomorphisms and low dimensional representations of mapping class groups of surfaces2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Geometric intersection in representations of mapping class groups of surfaces2017

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On visualization of the linearity problem for mapping class groups of surfaces2014

Author(s)

Journal Title

DOI

Data Source

[Journal Article] The Birman exact sequence and a visualization of the linearity for mapping class group2012

Author(s)

Journal Title

Data Source

[Journal Article] Addendum to: "An expansion of the Jones representation of genus 2 and the Torelli group"2011

Author(s)

Journal Title

DOI

Data Source

[Journal Article] An expansion of the Jones representation of genus 2 and the Torelli group II2004

Kasahara Yasushi 笠原泰

KASAHARA Yasushi 笠原泰

笹原泰ササハラヤスシ

笠原秦カサハラヤスシ