TAKASAWA Mitsuhiko 高澤光彦

Researcher Number	80323822
Other IDs
Affiliation (based on the past Project Information) *help	2016 – 2017: 東京工業大学, 情報理工学院, 助教 2012 – 2015: 東京工業大学, 情報理工学(系)研究科, 助教 2014: 東京工業大学, 大学院情報理工学研究科, 助教 2007 – 2011: 東京工業大学, 大学院・情報理工学研究科, 助教 2005 – 2006: 東京工業大学, 大学院情報理工学研究科, 助手 2003 – 2004: 東京工業大学, 大学院・情報理工学研究科, 助手
Review Section/Research Field	Principal Investigator Geometry Except Principal Investigator Geometry
Keywords	Principal Investigator 写像類群 / 可視化 / 双曲多様体 / 計算機支援 / Curve Complex / Colored Jones多項式 / 双曲体積 / 3次元多様体 Except Principal Investigator 3次元トポロジー / 体積 … More / 位相不変量 / 幾何構造 / ２次特性類 / 計算機支援 / 葉層構造 / 2次特性類 / 錐多様体 / 双曲幾何 / 3次元多様体 / トポロジー / 実験数学 / ３次元多様体 / 曲面 / 幾何学 / 力学系 / ３次元トポロジー / 位相幾何 / ねじれAlexander不変量 / ねじれAlexander多項式 / Twisted Alexander多項式 / 全射 / 半順序関係 / 全射準同型写像 / degree 1 map / twisted Alexander多項式 / 線型表現 / 結び目群 / 基本群 / 結び目 / 可視化 / グラフィックス / アルゴリズム / プログラミング言語 / クライン群 / 双曲幾何学 Less

Topology related with surfaces and 3-mainfolds
- Principal Investigator
  
  Kojima Sadayoshi
- Project Period (FY)
  2015 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Institute of Technology
Deepening three-manifold theory
- Principal Investigator
  
  KOJIMA Sadayoshi
- Project Period (FY)
  2010 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Institute of Technology
Geometry and Invariants of 3-manifolds
- Principal Investigator
  
  KOJIMA Sadayoshi
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Institute of Technology
Study on topological invariants derived from linear representations over a finite field of fundamental groups and geometric structures of 3-manifolds
- Principal Investigator
  
  KITANO TERUAKI
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Soka University
  Tokyo Institute of Technology
トポロジーにおける実験数学
- Principal Investigator
  
  KOJIMA Sadayoshi
- Project Period (FY)
  2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Institute of Technology
計算機支援による3次元双曲多様体の研究Principal Investigator
- Principal Investigator
  
  高沢光彦
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Institute of Technology

All 2013 2012 2011 2010 2009 2008 2007 2006

All Journal Article Presentation

[Journal Article] Minimal dilatations of pseudo-Anosovs generated by the Magic 3-manifold and their asymptotic behavior2013
- Author(s)
  E. Kin, S. Kojima and M. Takasawa
- Journal Title
  
  Algebraic and Geometric Topology
  
  Volume: 13 Issue: 6 Pages: 3537-3602
- DOI
  10.2140/agt.2013.13.3537
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22244004, KAKENHI-PROJECT-24224002, KAKENHI-PROJECT-25610010
[Journal Article] Pseudo-Anosovs on closed surface having small entropy and the Whitehead sister link exterior2012
- Author(s)
  E.Kin, M.Takasawa
- Journal Title
  
  Journal of Mathematical Society of Japan
  
  Volume: (To appear)
- NAID
  10031177287
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22244004
[Journal Article] Pseudo-Anosov braids with small entropy and the magic 3-manifold2011
- Author(s)
  E.Kin, M.Takasawa
- Journal Title
  
  Communications in Analysis and Geometry
  
  Volume: 19 Pages: 705-758
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22244004
[Journal Article] Entropy versus volume for pseudo-Anosovs2009
- Author(s)
  E. Kin, S. Kojima, M. Takasawa
- Journal Title
  
  Experiment. Math. 18
  
  Pages: 397-407
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204004
[Journal Article] Entropy versus volume for pseudo-Anosovs2009
- Author(s)
  E. Kin,S. Kojima, M. Takasawa
- Journal Title
  
  Experimental Mathematics (In press)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204004
[Journal Article] Entropy versus volume for pseudo-Anosovs2009
- Author(s)
  E.Kin., S.Kojima., M.Takasawa
- Journal Title
  
  Experimental Mathematics 18
  
  Pages: 397-407
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204004
[Journal Article] Entropy versus volume for pseudo-Anosovs2009
- Author(s)
  Eiko Kin, Sadayoshi Kojima and Mitsuhiko Takasawa
- Journal Title
  
  Experimental Mathematics (in press)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204004
[Journal Article] An asymptotic behavior of the dilatation for a family of pseudo-Anosov braids.2008
- Author(s)
  E. Kin, M. Takasawa
- Journal Title
  
  Kodai Math. J. 31
  
  Pages: 92-112
- NAID
  130004687884
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204004
[Presentation] Bounds for minimal dilatations of pseudo-Anosovs, Hyperbolic geometry: algorithmic2010
- Author(s)
  金英子, 高沢光彦
- Organizer
  number theoretic and numerical aspects
- Place of Presentation
  KIAS (Korea)
- Year and Date
  2010-03-18
- Data Source
  KAKENHI-PROJECT-18204004
[Presentation] Bounds for minimal dilatations of pseudo-Anosov Mapping class groups2010
- Author(s)
  金英子, 高沢光彦
- Organizer
  TQFT and invariants of 3-manifolds
- Place of Presentation
  東京工業大学
- Year and Date
  2010-02-16
- Data Source
  KAKENHI-PROJECT-18204004
[Presentation] Pseudo-Anosov braids with small entropy and the magic 3-manifold2009
- Author(s)
  金英子, 高沢光彦
- Organizer
  2008年度冬の力学系研究集会
- Place of Presentation
  日本大学軽井沢研修所
- Year and Date
  2009-01-09
- Data Source
  KAKENHI-PROJECT-18204004
[Presentation] An upper bound for the minimum entropy of mapping class of closed surfaces2009
- Author(s)
  金英子, 高沢光彦
- Organizer
  Simplicial Complexes Arising in Low-Dimensional Topology
- Place of Presentation
  東京工業大学
- Year and Date
  2009-07-02
- Data Source
  KAKENHI-PROJECT-18204004
[Presentation] 小さなエントロピーを持つブレイドと3成分鎖絡み目補空間2009
- Author(s)
  金英子, 高沢光彦
- Organizer
  日本数学会
- Place of Presentation
  大阪大学
- Year and Date
  2009-09-25
- Data Source
  KAKENHI-PROJECT-18204004
[Presentation] Entropy of pseudo-Anosov braids and fiber surfaces of hyperbolic 3-manifolds2008
- Author(s)
  金英子, 高沢光彦
- Organizer
  The Fourth East Asian School of Knots and Related Topics
- Place of Presentation
  東京大学
- Year and Date
  2008-01-21
- Data Source
  KAKENHI-PROJECT-18204004
[Presentation] On the pseudo-Anosov braids which arise as monodromies of fiber surfaces for the 3 chain link complement2008
- Author(s)
  金英子, 高沢光彦
- Organizer
  chain link complement, Workshop on Topology and Geometry- Braids and related topics-
- Place of Presentation
  広島大学
- Year and Date
  2008-05-31
- Data Source
  KAKENHI-PROJECT-18204004
[Presentation] raids with small entropy and the magic manifold2008
- Author(s)
  金英子, 高沢光彦
- Organizer
  Topology and Computers 2008
- Place of Presentation
  東京工業大学
- Year and Date
  2008-08-28
- Data Source
  KAKENHI-PROJECT-18204004
[Presentation] Entropy of pseudo-Anosov braids and fiber surfaces of hyperbolic 3-manifolds2008
- Author(s)
  金英子, 高沢光彦
- Organizer
  2007年度冬の力学系研究集会
- Place of Presentation
  日本大学軽井沢研修所
- Year and Date
  2008-01-07
- Data Source
  KAKENHI-PROJECT-18204004
[Presentation] A property of the dilatation spectrum of the chain-link with 3 components-いくつかの計算機実験について-2007
- Author(s)
  金英子, 高沢光彦
- Organizer
  奈良女子大学トポロジーセミナー
- Place of Presentation
  奈良女子大学
- Year and Date
  2007-10-29
- Data Source
  KAKENHI-PROJECT-18204004
[Presentation] On the volume and topological entropy of mapping tori of n-punctured disks2007
- Author(s)
  金英子, 高沢光彦
- Organizer
  日本数学会
- Place of Presentation
  埼玉大学
- Year and Date
  2007-03-29
- Data Source
  KAKENHI-PROJECT-18204004
[Presentation] On the dilatation and volume of mapping tori2007
- Author(s)
  金英子, 高沢光彦
- Organizer
  研究集会「リーマン面・不連続群」
- Place of Presentation
  島根大学
- Year and Date
  2007-02-03
- Data Source
  KAKENHI-PROJECT-18204004
[Presentation] On the dilatation and volume of mapping tori2006
- Author(s)
  金英子, 高沢光彦
- Organizer
  Topology and Computers 2006
- Place of Presentation
  大阪産業大学梅田サテライト
- Data Source
  KAKENHI-PROJECT-18204004
[Presentation] On dilatation and volume of mapping tori2006
- Author(s)
  金英子, 高沢光彦
- Organizer
  大阪大学低次元トポロジーセミナー
- Place of Presentation
  大阪大学
- Year and Date
  2006-11-14
- Data Source
  KAKENHI-PROJECT-18204004

1. KOJIMA Sadayoshi (90117705)

# of Collaborated Projects: 4 results

# of Collaborated Products: 5 results
2. FUJIWARA Koji (60229078)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
3. FUJII Michihiko (60254231)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
4. MORIFUJI Takayuki (90334466)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. YOSHIDA Tomoyoshi (60055324)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
6. SAKASAI Takuya (60451902)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. KITANO TERUAKI (90272658)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. SUZUKI Masaaki (70431616)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. MORITA Shigeyuki (70011674)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. MATSUMOTO Shigenori (80060143)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. SOMA Teruhiko (50154688)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. OHTSUKI Tomotada (50223871)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. KUMAGAI Takashi (90234509)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. KIN Eiko (80378554)

# of Collaborated Projects: 1 results

# of Collaborated Products: 3 results
15. UE Masaaki (80134443)

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. KAWASUMI Nariya (30214646)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. 山下靖 (70239987)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. 阿原一志 (80247147)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. 和田昌昭 (80192821)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. MATSUMOTO Mineko

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

TAKASAWA Mitsuhiko 高澤 光彦

Research Projects

Research Products

Co-Researchers

Topology related with surfaces and 3-mainfolds

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Deepening three-manifold theory

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Geometry and Invariants of 3-manifolds

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study on topological invariants derived from linear representations over a finite field of fundamental groups and geometric structures of 3-manifolds

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

トポロジーにおける実験数学

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

計算機支援による3次元双曲多様体の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Minimal dilatations of pseudo-Anosovs generated by the Magic 3-manifold and their asymptotic behavior2013

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Pseudo-Anosovs on closed surface having small entropy and the Whitehead sister link exterior2012

Author(s)

Journal Title

NAID

Data Source

[Journal Article] Pseudo-Anosov braids with small entropy and the magic 3-manifold2011

Author(s)

Journal Title

Data Source

[Journal Article] Entropy versus volume for pseudo-Anosovs2009

Author(s)

Journal Title

Data Source

[Journal Article] Entropy versus volume for pseudo-Anosovs2009

Author(s)

Journal Title

Data Source

[Journal Article] Entropy versus volume for pseudo-Anosovs2009

Author(s)

Journal Title

Data Source

[Journal Article] Entropy versus volume for pseudo-Anosovs2009

Author(s)

Journal Title

Data Source

[Journal Article] An asymptotic behavior of the dilatation for a family of pseudo-Anosov braids.2008

Author(s)

Journal Title

NAID

Data Source

[Presentation] Bounds for minimal dilatations of pseudo-Anosovs, Hyperbolic geometry: algorithmic2010

Author(s)

Organizer

Place of Presentation

Year and Date

TAKASAWA Mitsuhiko 高澤光彦