ushijima akira 牛島顕

… Alternative Names

牛島顕ウシジマアキラ

AKIRA Ushijima 牛島顕

USHIJIMA Akira 牛島顕

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Researcher Number	50323803
Other IDs
External Links
Affiliation (Current)	2025: 兵庫県立大学, 国際商経学部, 教授
Affiliation (based on the past Project Information) *help	2022 – 2023: 兵庫県立大学, 国際商経学部, 教授 2012 – 2014: 金沢大学, 数物科学系, 准教授 2008 – 2010: Kanazawa University, 数物科学系, 准教授 2007: Kanazawa University, 自然科学研究科, 准教授 2006: Kanazawa University, Department of Mathematics, Lecturer, 大学院自然科学研究科, 講師 … More 2005: Kanazawa Univ., Graduate School of Natural Science, Lecturer, 自然科学研究科, 講師 2004 – 2005: 金沢大学, 大学院・自然科学研究科, 講師 2004: Kanazawa Univ., Dept.of Math., Lect. 2003: 金沢大学, 理学部, 講師 2001: 東京工業大学, 大学院・理工学研究科, 助手 Less
Review Section/Research Field	Principal Investigator Geometry / Basic Section 11020:Geometry-related Except Principal Investigator Algebra / Global analysis / Geometry / Geometry
Keywords	Principal Investigator 双曲幾何学 / 幾何学 / 基本領域 / フックス群 / 離散群 / Cayley-Klein幾何学 / クライン群 / スペイン / 国際情報交換 / 微分幾何 … More Except Principal Investigator … More 結び目 / knot / Reidemeister torsion / 3次元多様体 / 3-manifold / number field / prime / 代数体 / 素数 / quasi-isometry / effective resistance / netwok / Riemannian distance / energy form / kernel function / spectral convergence / Dirichlet space / 測地グラフ / 調和写像 / 調和関数 / 合成抵抗 / 擬等長 / 有効抵抗 / ネットワーク / リーマン距離 / エネルギー形式 / 核関数 / スペクトル収束 / ディリクレ空間 / Chern-Simons invariant / quantum invariant / volume conjecture / colored Jones polynomial / 3-mainfold / Dehn手術 / 8の字結び目 / トーラス結び目 / Alexander多項式 / Jones多項式 / 体積 / torus結び目 / Chern-Simons不変量 / 量子不変量 / 体積予想 / 色付きJones多項式 / ホップ不変量 / ラグランジアン / Vassiliev不変量 / 渦流 / 絡み目 / Faddeev-Hopf結び目 Less

ディリクレ基本領域が導く閉双曲多様体の多面体分割の構成と特徴付けPrincipal Investigator
- Principal Investigator
  
  牛島顕
- Project Period (FY)
  2022 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  University of Hyogo
An approach to cellular decompositions of hyperbolic manifolds based on variational principlesPrincipal Investigator
- Principal Investigator
  
  AKIRA Ushijima
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kanazawa University
Visualization of hyperbolic surfaces via generic fundamental polygons, and its applications on the theory of the canonical decompositionPrincipal Investigator
- Principal Investigator
  
  USHIJIMA Akira
- Project Period (FY)
  2009 – 2010
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Kanazawa University
A proof of existence of generic fundamental polyhedra for discrete isometry groups of hyperbolic space, and its visualizationPrincipal Investigator
- Principal Investigator
  
  USHIJIMA Akira
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Kanazawa University
Various inbariants appearing in low-dimensional topology
- Principal Investigator
  
  MURAKAMI Hitoshi
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Institute of Technorogy
Convergence of metric measure spaces and energy forms
- Principal Investigator
  
  KASUE Atsushi
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Kanazawa University
Study of analogies between algebraic number theory and 3-dimensional topology.
- Principal Investigator
  
  MORISHITA Masanori
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kanazawa University
Faddeev-Hopf結び目の研究
- Principal Investigator
  
  MURAKAMI Hitoshi
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Geometry
- Research Institution
  Tokyo Institute of Technology

All 2024 2023 2014 2013 2011 2009 2008 2006 2005 2004 Other

All Journal Article Presentation

[Journal Article] On the maximal volume of three-dimensional hyperbolic complete orthoschemes2014
- Author(s)
  Kazuhiro Ichihara and Akira Ushijima
- Journal Title
  
  Proceedings of the Institute of Natural Science, Nihon University
  
  Volume: 49 Pages: 169-174
- NAID
  40020384016
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540071
[Journal Article] Generic fundament alpolygons for Fuchsian groups2011
- Author(s)
  Ushijima, A.
- Journal Title
  
  Pacific Journal of Mathematics in press
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740047
[Journal Article] Generic fundamental polygons for Fuchsian groups2011
- Author(s)
  Akira Ushijima
- Journal Title
  
  Pacific Journal of Mathematics
  
  Volume: (掲載確定)
- NAID
  120003406328
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740047
[Journal Article] On the properness of some algebraic equations appearing in Fuchsian groups2009
- Author(s)
  牛島顕, Raquel Diaz
- Journal Title
  
  Topology Proceedings 33巻
  
  Pages: 1-26
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740030
[Journal Article] A volume formula for generalized hyperbolic tetrahedral2006
- Author(s)
  A.Ushijima
- Journal Title
  
  Mathematics and its Applications (New York)(Springer, New York) 581
  
  Pages: 249-265
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340053
[Journal Article] A volume formula for generalized hyperbolic tetrahedra2006
- Author(s)
  Ushijima, Akira
- Journal Title
  
  Mathematics and Its Applications 581
  
  Pages: 249-265
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340019
[Journal Article] A volume formula for generalised hyperbolic tetrahedra. (English. English summary)2006
- Author(s)
  Akira Ushijima
- Journal Title
  
  Mathematics and Its Applications (New York)(Springer, New York) 581
  
  Pages: 249-265
- Data Source
  KAKENHI-PROJECT-15340053
[Journal Article] A volume formula for generalized hyper bolic tetrahedra2006
- Author(s)
  Ushijima, Akira
- Journal Title
  
  Mathematics and Its Applications 581
  
  Pages: 249-265
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340019
[Journal Article] A volume formula for hyperbolic tetrahedra in terms of edge lengths2005
- Author(s)
  J.Murakami, A.Ushijima
- Journal Title
  
  Journal of Geometry 83・1-2
  
  Pages: 153-163
- Data Source
  KAKENHI-PROJECT-15340019
[Journal Article] A volume formula for hyperbolic tetrahedra in terms of edge lengths,2005
- Author(s)
  Jun Murakami, Akira Ushijima
- Journal Title
  
  Journal of Geometry 83・1-2
  
  Pages: 153-163
- Data Source
  KAKENHI-PROJECT-15340053
[Journal Article] A volume formula for hyperbolic tetrahedra in terms of edge lengths2005
- Author(s)
  J.Murakami, A.Ushijima
- Journal Title
  
  J.Geom. (掲載予定)
- Data Source
  KAKENHI-PROJECT-15340019
[Journal Article] Hyperbolic spatial graphs arising from strongly invertible knots2004
- Author(s)
  A.Ushijima
- Journal Title
  
  Topology Appl. 139
  
  Pages: 253-260
- Data Source
  KAKENHI-PROJECT-15340019
[Presentation] チェバの定理と三角群の基本領域2024
- Author(s)
  牛島顕
- Organizer
  リーマン面・不連続群論拡大研究集会
- Data Source
  KAKENHI-PROJECT-22K03309
[Presentation] ケーリー・クライン幾何学としての双曲平面でのチェバの定理とメネラウスの定理2023
- Author(s)
  牛島顕
- Organizer
  東工大函数論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-22K03309
[Presentation] ケーリー・クライン幾何学としての双曲平面でのチェバの定理とメネラウスの定理2023
- Author(s)
  牛島顕
- Organizer
  日本数学会2023年度年会幾何学分科会
- Data Source
  KAKENHI-PROJECT-22K03309
[Presentation] 射影幾何学と双曲幾何学でのチェバの定理とメネラウスの定理2023
- Author(s)
  牛島顕
- Organizer
  研究会「直観幾何学 2023」
- Data Source
  KAKENHI-PROJECT-22K03309
[Presentation] 底面が共通な三次元双曲complete orthoschemeの最大体積について2013
- Author(s)
  市原一裕, 牛島顕
- Organizer
  日本数学会2014年度年会
- Place of Presentation
  学習院大学目白キャンパス
- Data Source
  KAKENHI-PROJECT-24540071
[Presentation] Symbolic construction of developments of surfaces2009
- Author(s)
  牛島顕
- Organizer
  Symbolic description and low-dimensional topology
- Place of Presentation
  広島大学(広島県)
- Year and Date
  2009-10-30
- Data Source
  KAKENHI-PROJECT-21740047
[Presentation] McShane's identities and the volume of M_<1,1>2009
- Author(s)
  牛島顕
- Organizer
  Workshop on Weil-Petersson volumes
- Place of Presentation
  東京工業大学(東京都)
- Year and Date
  2009-12-21
- Data Source
  KAKENHI-PROJECT-21740047
[Presentation] McShane's identities and the volume of M12009
- Author(s)
  牛島顕
- Organizer
  Workshop on Weil-Petersson volumes
- Place of Presentation
  東京工業大学(東京都)
- Year and Date
  2009-12-21
- Data Source
  KAKENHI-PROJECT-21740047
[Presentation] Generic Ford regions for Fuchsian groups2009
- Author(s)
  牛島顕
- Organizer
  「リーマン面・不連続群論」研究集会
- Place of Presentation
  大阪大学
- Year and Date
  2009-01-10
- Data Source
  KAKENHI-PROJECT-19740030
[Presentation] 双曲曲面の一般的基本多角形の普遍性2008
- Author(s)
  牛島顕
- Organizer
  日本数学会2008年度秋季総合分科会
- Place of Presentation
  東京工業大学
- Year and Date
  2008-09-26
- Data Source
  KAKENHI-PROJECT-19740030
[Presentation] On the maximal volume of three-dimensional hyperbolic complete orthoschemes
- Author(s)
  牛島顕
- Organizer
  The 7th MSJ-SI Hyperbolic Geometry and Geometric Group Theory
- Place of Presentation
  東京大学駒場キャンパス
- Year and Date
  2014-07-31 – 2014-08-04
- Data Source
  KAKENHI-PROJECT-24540071

1. MURAKAMI Hitoshi (70192771)

# of Collaborated Projects: 2 results

# of Collaborated Products: 2 results
2. TERASHIMA Yuji (70361764)

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. KITANO Teruaki (90272658)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. ENDO Hisaaki (20323777)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. KASUE Atsushi (40152657)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. NAKAO Shintaro (90030783)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. TAKANOBU Satoshi (40197124)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. NAKAGAWA Yasuhiro (90250662)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. KATO Shin (10243354)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. MORISHITA Masanori (40242515)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. KURIHARA Masato (40211221)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. TAGUCHI Yuichiro (90231399)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. KOHNO Toshitake (80144111)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. SUGANO Takashi (30183841)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. 本間泰史 (50329108)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. 落合啓之 (90214163)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. 鈴木達夫 (70318799)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. 筧三郎 (60318798)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. 久村裕憲 (30283336)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. 小倉幸雄 (00037847)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. 白井朋之 (70302932)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. 野村明人 (00313700)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. 早川貴之 (20198823)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. 岩瀬順一 (70183746)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. 川越謙一 (50293337)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. 中西敏浩 (00172354)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. SANCHEZ Raquel Diaz

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

ushijima akira 牛島 顕

牛島 顕 ウシジマ アキラ

AKIRA Ushijima 牛島 顕

USHIJIMA Akira 牛島 顕

Research Projects

Research Products

Co-Researchers

ディリクレ基本領域が導く閉双曲多様体の多面体分割の構成と特徴付けPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

An approach to cellular decompositions of hyperbolic manifolds based on variational principlesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Visualization of hyperbolic surfaces via generic fundamental polygons, and its applications on the theory of the canonical decompositionPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

A proof of existence of generic fundamental polyhedra for discrete isometry groups of hyperbolic space, and its visualizationPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Various inbariants appearing in low-dimensional topology

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Convergence of metric measure spaces and energy forms

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study of analogies between algebraic number theory and 3-dimensional topology.

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Faddeev-Hopf結び目の研究

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] On the maximal volume of three-dimensional hyperbolic complete orthoschemes2014

Author(s)

Journal Title

NAID

Data Source

[Journal Article] Generic fundament alpolygons for Fuchsian groups2011

Author(s)

Journal Title

Data Source

[Journal Article] Generic fundamental polygons for Fuchsian groups2011

Author(s)

Journal Title

NAID

Data Source

[Journal Article] On the properness of some algebraic equations appearing in Fuchsian groups2009

Author(s)

Journal Title

Data Source

[Journal Article] A volume formula for generalized hyperbolic tetrahedral2006

Author(s)

Journal Title

Description

Data Source

[Journal Article] A volume formula for generalized hyperbolic tetrahedra2006

Author(s)

ushijima akira 牛島顕

牛島顕ウシジマアキラ

AKIRA Ushijima 牛島顕

USHIJIMA Akira 牛島顕