Rchr
J-GLOBAL ID：200901040071420930
Update date: Jan. 31, 2024
Kawauchi Akio
カワウチ アキオ | Kawauchi Akio
Affiliation and department：
Job title：
Research Member
Homepage URL (1)：
https://sites.google.com/view/kawauchiwriting
Research field (1)：
Geometry
Research keywords (1)：
knot theory, manifold theory, topology
Research theme for competitive and other funds (51)：
- 2021 - 2026 結び目のトポロジーとその高分子科学への応用の研究
- 2019 - 2024 Research on 4-dimensional topology from the viewpoint of graphics and quandle theory
- 2016 - 2021 Research on knot theory and its application
- 2014 - 2019 Research on 4-dimensional topology from the viewpoint of graphics and quandle theory
- 2012 - 2017 Study on local moves of knots with application to polymer topology
- 2012 - 2017 Studies of knot theory and their applications
- 2012 - 2015 Applications of knot theory to game and sciences
- 2009 - 2014 Research on 4-dimensional topology from the viewpoint of graphics and quandle theory
- 2009 - 2011 Study on local moves of knots with application to DNA knots
- 2009 - 2011 Studies of Knot Theory
- 2007 - 2009 Overall study of topology
- 2006 - 2008 リーマン面の正則族の大域的構成法の種々の試み
- 2005 - 2008 グラフィクスとカンドル理論の観点からの4次元トポロジーの研究
- 2004 - 2007 Smooth unknotting conjecture in dimension four and search for essence of mathematics
- 2003 - 2005 Study on Diophantine problem over function fields and Teichmuller spaces
- 2002 - 2005 STUDY OF TOPOLOGICAL INVARIANTS FOR KNOTS AND THEIR APPLICATIONS
- 2003 - 2004 Developing monodromy descriptions and studying two-dimensional knots and braids by using quandles
- 2002 - 2004 Classification of 3-manifolds by link correspondence and knot theory
- 2001 - 2003 リーマン面の正則族のモノドロミーの大域的研究
- 2001 - 2002 Construction of the topological toric theory
- 2000 - 2002 Various Aspects of Topology
- 1999 - 2001 STUDY ON KNOT INVARIANTS AND ITS APPLICATIONS
- 1998 - 2000 Teichmuller Spaces and Mapping Class Groups
- 1998 - 1999 Monodromy calculus in low dimensional topology and "racks".
- 1997 - 1999 Heegaand spliffings and hyperbolic structures of 3-manifolds
- 1997 - 1999 Knot Theory and Geometry of Manifolds
- 1997 - 1998 正則2次微分とタイヒミュラー空間
- 1997 - 1998 STUDY ON KNOT INVARIANTS
- 1996 - 1997 COMPREHENSIVE STUDY OF TOPOLOGY
- 1996 - 1996 リッチ曲率の幾何学と大域解析学
- 1996 - 1996 変換群の幾何学
- 1996 - 1996 低次元多様体と結び目理論
- 1995 - 1995 多様体の量子不変量
- 1994 - 1995 General study of topology
- 1994 - 1994 タイヒミュラー空間とその応用
- 1994 - 1994 変換群の幾何学
- 1994 - 1994 代数系の表現の研究
- 1992 - 1992 有限群のモジュラー表現の研究
- 1992 - 1992 結び目・絡み目と,3・4次元多様体の幾何学
- 1991 - 1991 結び目理論
- 1990 - 1991 Co-operative Research of Topology
- 1989 - 1991 家事労働問題に関する理論的実証的研究
- 1990 - 1990 位相幾何学におけるいくつかのホモトピ-不変量の研究
- 1988 - 1989 Co-operative Research on Topology
- 1988 - 1988 アルチィン環の研究とその応用
- 1987 - 1988 Geometry of manifolds
- 1987 - 1987 3,4次元多様体と結び目の研究
- 1986 - 1986 同変単純ホモトピー理論,G-expansion圏とその応用
- 1986 - 1986 3・4次元多様体の研究
- 3・4次元多様体論と結び目理論
- 3・4-dimensional manifolds and knot theory
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Papers (22)：
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Seiichi KAMADA, Kirandeep KAUR, Akio KAWAUCHI, Prabhakar MADETI. An Unknotting Index for Virtual Knots. Tokyo Journal of Mathematics. 2019. 42. 2
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Yewon Joung, Seiichi Kamada, Akio Kawauchi, Sang Youl Lee. Polynomial of an oriented surface-link diagram via quantum A(2) invariant. TOPOLOGY AND ITS APPLICATIONS. 2017. 231. 159-185
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Akio Kawauchi, Ikuo Tayama. Representing 3-manifolds in the complex number plane. TOPOLOGY AND ITS APPLICATIONS. 2017. 230. 425-443
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K. Kaur, S. Kamada, A. Kawauchi, M. Prabhakar. Gauss diagrams, unknotting numbers and trivializing numbers of spatial graphs. TOPOLOGY AND ITS APPLICATIONS. 2017. 230. 586-598
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Akio Kawauchi. On a cross-section of an immersed sphere-link in 4-space. TOPOLOGY AND ITS APPLICATIONS. 2017. 230. 194-217
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MISC (31)：
Books (9)：
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Topological imitations
Lectures at Knots 96, World Scientific Publishing Company 1997
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A survey of knot theory
Birkh\"auser, Basel-Boston-Berlin 1996
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L.H.Kauffman,Mathematics and Physics of Knots
1995
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Introduction to topological imitations of (3,1)-dimensional manifold pairs
Topics in knot Theory, Kluwer Academic Publishers 1993
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Knots 90
Walter de Gruyter, Berlin New York 1992
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Education (3)：
- 1974 - 1977 Osaka City University Graduate School of Science Major of Mathematics
- 1972 - 1974 Kobe University Graduate School of Science Major of Mathematics
- 1968 - 1972 Sophia University Faculty of Science and Technology Department of Mathematics
Professional career (1)：
Work history (11)：
- 2023/04 - 現在 Osaka Metropolitan University Osaka Central Advanced Mathematical Institute Member
- 2013/04 - 2023/03 Osaka City University, (Name changed from April 2022) Osaka Metropolitan University
- 2001/04 - 2013/03 大阪市立大学大学院理学研究科 教授
- 2003/04 - 2008/03 大阪市立大学 21世紀COEプログラム「結び目を焦点とする広角度の数学拠点の形成」
- 1988/10 - 2001/03 大阪市立大学理学部 教授
- 1991/03 - 1991/04 メルボルン大学 Visitor
- 1981/04 - 1988/10 大阪市立大学理学部 助教授
- 1987/06 - 1988/03 カリフォルニア大学バークレー校 客員研究員
- 1980/04 - 1981/03 大阪市立大学理学部 講師
- 1977/04 - 1980/03 大阪市立大学理学部 助手
- 1978 - 1980 Institute for Advanced Study
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Committee career (1)：
Awards (3)：
- 1996 - 大阪科学賞
- 1995 - 井上学術賞
- 1987 - 日本数学会 幾何学賞
Association Membership(s) (1)：
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