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KAMADA Naoko

    Graduate School of Science Division of Mathematical and Material Science　Professor
Contact： kamadansc.nagoya-cu.ac.jp
Last Updated :2024/04/24

Researcher Information

J-Global ID

Research Interests

  • 不変量   低次元トポロジー   結び目理論   

Research Areas

  • Natural sciences / Geometry

Association Memberships

  • American Mathmatical Society   日本数学会   

Published Papers

Conference Activities & Talks

  • Oriented cut systems and invariants of virtual and twisted links  [Invited]
    Naoko Kamada
    Iberoamerican and Pan Pacific International Conference on Topology and its Applications  2023/09
  • Cut points and virtual link diagrams  [Invited]
    Naoko Kamada
    The 14th KOOK-TAPU Joint Seminar on Knots and Related Topics  2023/07
  • Virtual and twisted link diagrams and their sublink diagrams  [Invited]
    Naoko Kamada
    The 18th East Asian Conference on Geometric Topology  2023/02
  • Naoko Kamada
    日本数学会 秋季分科会 2022  2022/09
  • Naoko Kamada
    拡大KOOKセミナー 2022  2022/09
  • Naoko KAMADA
    東京女子大学トポロジーセミナー  2022/07
  • Naoko Kamada
    Knot theory and Applications  2022/07
  • Naoko Kamada
    The 17th East Asian Conference on Geometric Topology  2022/01
  • Naoko Kamada
    研究集会「結び目理論」  2021/09
  • Naoko Kamada
    The 12th TAPU-KOOK Joint Seminar on Knots and Related Topics  2021/07
  • Naoko Kamada
    The 16th East Asian Conference on Geometric Topology  2021/01
  • Naoko Kamada
    First Korea-Russia Conference on Knot theory and Related Topics  2020/11
  • Naoko Kamada
    N-KOOK セミナー 10月会合  2020/10
  • Almost classical virtual links  [Not invited]
    Naoko Kamada
    日本数学会2020年度秋季総合分科会  2020/09
  • Pseudo Goeritz matrix for virtual knots  [Not invited]
    Naoko Kamada
    拡大 KOOK セミナー 2020  2020/09
  • Naoko Kamada
    The 15th East Asian Conference on Geometric Topology  2020/02
  • Naoko Kamada
    The JMM special session on Self-Distributive Structures, Knot Theory and the Yang-Baxter Equation  2020/01
  • A multivariable polynomial invariant of virtual links and cut systems
    Third Pan-Pacific International Conference on Topology and Applications  2019/11
  • Naoko Kamada
    International Workshop Knots in Tsushima  2019/09
  • Naoko Kamada
    Extended KOOK Seminar  2019/08
  • Invariants and mod m almost classical virtual links  [Invited]
    KAMADA Naoko
    Algebraic and Combinatorial Structures in Knot Theory (Code: SS 9A) at the AMS Spring Central and Western Joint Sectional Meeting  2019/03
  • A multivariable polynomial invariant of virtual links with cut systems  [Invited]
    KAMADA Naoko
    2019 KMJ Conference for Accreditation Strategies and the 2019 Winter TAPU Workshop on Knot Theory and Related Topics  2019/02
  • A conversion of virtual links into mod $p$ almost classical virtual links  [Invited]
    KAMADA Naoko
    The 14th East Asian Conference on Geometric Topology  2019/01
  • A multivariable polynomial invariant and oriented cut points  [Not invited]
    KAMADA Naoko
    2018 Ryukyu Knot Seminar  2018/12
  • Cyclic coverings of virtual knots  [Not invited]
    N. Kamada
    Extended KOOK seminar 2018  2018/09
  • Coverings of virtual links based on mod p Alexander numbering  [Invited]
    N. Kamada
    The 10th KOOK-TAPU Joint Seminar on Knots and Related Topics  2018/07
  • Coherent double covering diagrams of virtual links  [Invited]
    N. Kamada
    Knotted embeddings in dimensions 3 and 4  2018/02  France
  • Coherent double covering diagrams of virtual knots  [Invited]
    N. Kamada
    The 13th East Asian School of Knots and Related Topics  2018/01  Korea
  • Double coverings of virtual doodles and their invariants  [Invited]
    N. Kamada; A. Bartholomew; R. Fenn; S. Kamada
    The 2nd Pan Pacific International Conference on Topology and Applications  2017/11  Korea
  • Invariants of virtual doodles  [Invited]
    N. Kamada; A. Bartholomew; R. Fenn; S. Kamada
    4th Russian-Chinese Conference on Knot Theory and Related Topics - 2017 」(Bauman Moscow State Technical University, Moscow, Russia  2017/07  Russia
  • A map from virtual links to normal virtual links  [Invited]
    N. Kamada
    Tokyo women's christian university topology seminar  2017/06  Japan
  • The double covering method for twisted knots  [Invited]
    N. Kamada
    Intelligence of Low-dimensional Topology  2017/06  Japan
  • Virtual doodles and their invariants  [Invited]
    N. Kamada; A. Bartholomew; R. Fenn; S. Kamada
    Self-distributive system and quandle (co)homology theory in algebra and low-dimensional topology 2017 KIAS Research Station Busan  2017/06  Korea
  • Virtual doodles and semiquandles  [Invited]
    N. Kamada; A. Bartholomew; R. Fenn; S. Kamada
    The 12th East Asian School of Knots and Related Topics  2017/02  Japan
  • Virtual doodles and a quandle type invariant  [Invited]
    N. Kamada; A. Bartholomew; R. Fenn; S. Kamada
    KNOTS IN WASHINGTON XLIII  2016/12  USA
  • Virtual doodles  [Not invited]
    N. Kamada
    Extended KOOK seminar 2016  2016/08  Japan
  • Checkerboard colorable virtual knot  [Not invited]
    N. Kamada
    Asian Mathematical Conference 2016  2016/07  Indonesia
  • Converting virtual knot diagrams to normal diagrams  [Invited]
    N. Kamada
    International Workshop on Low-dimensional Topology  2016/05  China
  • Normal virtual link diagrams and double covers of twisted link diagrams  [Invited]
    N. Kamada
    JMM Ioint Mathematics Meetings The Mathematical Association of America (MAA) and the American Mathematical Society (AMS)  2016/01
  • Converting a virtual link diagram to a normal one  [Invited]
    N. Kamada
    The 11th East Asian School of Knots and Related Topics  2016/01  Japan
  • Normal virtual link diagrams and double covers of twisted link diagrams  [Invited]
    N. Kamada
    The 1st Pan Pacific International Conference on Topology and Applications  2015/11  China
  • Virtual knot diagrams and double covers of twisted knot diagrams  [Invited]
    N. Kamada
    TAPU Workshop 2015  2015/09  Korea
  • An invariant of twisted knots and double cover  [Not invited]
    N. Kamada
    Extended KOOK seminar 2015  2015/08  Japan
  • A generalization of the JKSS invariant to twisted knots  [Invited]
    N. Kamada
    Low Dimensional Topology and Its Relationships with Physics AMS/EMS/SPM Meetings  2015/06  Portugal
  • Invariants of twisted links and virtual links  [Invited]
    N. Kamada
    Knots and Manifolds  2015/02  Japan
  • Virtual Knots and Twisted Knots  [Invited]
    N. Kamada
    The Tenth East Asian School of Knots and Related Topics  2015/01  China
  • Writhes of twisted knots  [Not invited]
    N. Kamada
    MSJ Autumn meeting 2014  2014/09  Japan
  • A series of numerical invariants of a twisted knot  [Invited]
    N. Kamada
    Knot and Low Dimensional Manifolds:a Satellite Conferences of Seoul ICM 2014  2014/08  Korea
  • Writhes of a twisted knot derived from weighted index diagrams  [Invited]
    N. Kamada
    Friday Seminar on Knot Theory  2014/05  Japan
  • Numerical invariants of twisted knots  [Invited]
    N. Kamada
    Advanced school and Discussion Meeting on Knot Theory and its Applications  2013/12  India
  • Partial writhes of a twisted knot  [Invited]
    N. Kamada
    Lloyd Roeling UL Lafayette Mathematics Conference on Topology  2013/11  USA
  • Surface pole-bracket polynomials of virtual knots and twisted knots  [Invited]
    N. Kamada
    AMS Sectional Meeting AMS Special Session  2013/11  USA
  • Surface states derived from multivariable polynomial invariants and curves  [Invited]
    N. Kamada
    International Conference on Topology and Geometry 2013 Joint with the 6th Japan- Mexico Topology Symposium  2013/09  Japan
  • Table of twisted knots and polynomial invariants  [Invited]
    N. Kamada
    Tokyo women's christian university topology seminar  2013/07  Japan
  • A surface bracket polynomial based on a multivariable polynomial invariant  [Not invited]
    N. Kamada
    Extended KOOK seminar  2013/02  Japan
  • The surface state for the Miyazawa polynomial  [Invited]
    N. Kamada
    The 9th East Asian School of Knots and Related Topics  2013/01  Japan
  • Surface bracket polynomials  [Not invited]
    N. Kamada
    2012 Ryukyu knots seminar  2012/09  Japan
  • Polynomial invariants and surface bracket polynomials of twisted links  [Invited]
    N. Kamada
    Mini- symposium and special session STS ”Knot Theory and its ramifications” at The 6th European Congress of Mathematics  2012/07  Poland
  • Surface bracket polynomials of twisted links  [Invited]
    N. Kamada
    Friday Seminar on Knot Theory  2012/06  Japan
  • Index polynomial invariants of virtual knots and twisted knots  [Invited]
    N. Kamada
    The 8th East Asian School of Knots and Related Topics  2012/01  Korea
  • Index polynomials of twisted links  [Invited]
    N. Kamada
    xxQuantum Topology Seminar / Knots in Chicago  2011/10
  • Index polynomial invariants  [Not invited]
    N. Kamada
    2011 Ryukyu knots seminar  2011/09  Japan
  • Index polynomials of twisted links  [Invited]
    N. Kamada
    The 19th TAPU Seminar on Knots and Related Topic  2011/09  Korea
  • An interpretation of index polynomials  [Invited]
    N. Kamada
    The 19th TAPU Seminar on Knots and Related Topic  2011/09  Korea
  • On checkerboard colorable twisted links  [Invited]
    N. Kamada
    The Seventh East Asian School of Knots and Related Topics  2011/01  Japan
  • Polynomial invariants and quandles of twisted links  [Invited]
    N. Kamada
    International Conference Japan-Mexico on Topology and its Applications (the fifth edition)  2010/09  Mexico
  • On invariants of twisted links and applications  [Invited]
    N. Kamada
    The 2nd TAPU-KOOK Joint Seminar  2010/07  Korea
  • Quandles and multivariable polynomial invariants of twisted links  [Invited]
    N. Kamada
    Knots in Washington XXX  2010/05  USA
  • A quandle of twisted links  [Not invited]
    N. Kamada
    Spring Workshop 2010 on Low-Dimensional Topology and its Ramifications  2010/03  Japan
  • Stable equivalence classes of knots and their invariants  [Invited]
    N. Kamada
    Osaka city university advanced mathematical institute colloquium  2010/01  Japan
  • Quandles of twisted links  [Invited]
    N. Kamada
    The 6th East Asian School of Knots, Links and Related Topics  2010/01  China
  • twisted links and their multivaiable invariants  [Invited]
    N. Kamada
    Hokuriku knots seminar  2008/11  Japan
  • Multivariable Miyazawa polynomials of twisted links  [Not invited]
    N. Kamada
    Intelligence of Low Dimensional Topology and extended KOOK seiminar  2008/10  Japan
  • A multivariable invariant of a twisted link  [Invited]
    N. Kamada
    Conference on Algebraic and Geometric Topology  2008/06  Poland
  • The polynomial invariants of twisted links  [Invited]
    N. Kamada
    A Joint conference with ”4th Japan Mexico Topology Conference”  2007/12  Japan
  • On invariants of twisted links  [Invited]
    N. Kamada
    The 3rd East Asian School of Knots, Links and Related Topics  2007/02  Japan
  • On twisted Miyazawa polynomial  [Not invited]
    N. Kamada
    Topology of knots IX  2006/12  Japan
  • An invariant of a twisted link  [Not invited]
    N. Kamada
    Northeast knots seminar  2006/11  Japan
  • Miyazawa polynomials and twisted links,  [Invited]
    N. Kamada
    Topology and Geometry seminar  2006/10  Japan
  • A state index of virtual knots and Miyazawa polynomial  [Not invited]
    N. Kamada
    MSJ Autumn meeting 2006  2006/09  Japan
  • Miyazawa polynomials of virtual knots and virtual crossing numbers  [Invited]
    N. Kamada
    Intelligence of Low Dimensional Topology 2006  2006/07  Japan
  • Some features of Miyazawa polynomial  [Invited]
    N. Kamada
    Tokyo women's christian university topology seminar  2006/05  Japan
  • The virtual magnetic skein module and construction of skein relations on Jones-Kauffman polynomial  [Invited]
    A. Ishii; N. Kamada; S. Kamada
    New Zealand-Japan Knot Theory Conference  2006/01  Newzealand
  • Constructing a table of virtual knots  [Not invited]
    N. Kamada
    Topology and computer 2005  2005/11  Japan
  • A table of virtual knots with up to 4 crossings and Miyazawa polynomials,  [Invited]
    N. Kamada
    Topology and Geometry seminar  2005/10  Japan
  • An algorithm to calculate Miyazawa polynomials of virtual knots  [Invited]
    N. Kamada
    Friday Seminar on Knot Theory  2005/09  Japan
  • A table of virtual knots with Miyazawa polynomial  [Not invited]
    N. Kamada
    Geometry and algebra of knots and manifolds III  2005/08  Japan
  • Virtual knots with four real crossings  [Invited]
    N. Kamada
    The Second East Asian School of Knots, Links, and Related Topics  2005/08  China
  • On Miyazawa’s virtual knot invariant  [Not invited]
    N. Kamada
    Topology of knots VII  2004/12  Japan
  • Some relations on Miyazawa’s virtual knot invariant  [Invited]
    N. Kamada
    3rd Japan-Mexico Joint Meeting on Topology and its Applications  2004/12  Mexico
  • Virtual knots and virtual crossings  [Invited]
    N. Kamada
    The First East Asian School of Knots, Links, and Related Topics  2004/12  Korea
  • On Miyazawa’s invariants for virtual links  [Invited]
    N. Kamada
    First KOOK Seminar International for Knot Theory and Related Topics  2004/07  Japan
  • Invariants of virtual knots  [Not invited]
    N. Kamada
    Tsuda college mathematics computer science colloquium  2004/05  Japan
  • On quasi-alternating virtual link diagrams  [Invited]
    N. Kamada
    Osaka city university mathematics depaertment colloquium  2004/02  Japan
  • Virtual konts and virtualization of classical crossings  [Not invited]
    N. Kamada
    Geometry and algebra of knots and manifolds II  2003/09  Japan
  • Virtual knots and Jones polynomial  [Invited]
    N. Kamada
    Topology and Geometry seminar  2003/06  Japan
  • On the Jones polynomials of virtual link diagrams  [Invited]
    N. Kamada
    International Conference on Topology and its Applications, joined with the Second Japan-Mexico Topology Symposium (Topology in Matsue)  2002/06  Japan
  • Jones polynomial of virtual knots  [Not invited]
    N. Kamada
    Topology of knots IV  2001/12  Japan
  • On checkerboard colorable virtual links  [Not invited]
    N. Kamada
    MSJ Spring meeting 2001  2001/03  Japan
  • Checkerboard colorable virtual knots  [Not invited]
    N. Kamada
    Topology of knots III  2000/12  Japan
  • Alternating links whose Jones polynomials are not strictly alternating  [Not invited]
    N. Kamada
    MSJ Autumn meeting 1997  1997/10  Japan
  • Jones polynomial of Alternating links  [Not invited]
    N. Kamada
    Knots and low dimensional manifolds  1997/10  Japan
  • On the Jones polynomials of alternating links  [Invited]
    N. Kamada
    The 5-th Korea-Japan School of knots and links  1997/02  Korea
  • The crossing number of an alternating link diagram on a surface  [Invited]
    N. Kamada
    The fifth MSJ International Research Institute: Knot Theory  1996/07  Japan
  • Quantum PSU (2) invariant of a Q homology handle  [Not invited]
    N. Kamada
    Algebra, topology, and geometry of knots  1994/10  Japan
  • Alternating simple formal Wirtinger presentation  [Not invited]
    N. Kamada
    Knots and polymer science  1993/12  Japan

MISC

  • KODAIRA Mieko; RYO Haruko; TAKAHASHI Norio; KAMADA Naoko; FURUKAWA Kyoji; NAKAJIMA Hiroo; NOMURA Taisei; NAKAMURA Nori  JRRS Annual Meeting Abstracts  2008-  (0)  264  -264  2008/11
  • 原爆被爆者の子供におけるマイクロサテライト突然変異のスクリーニング
    小平 美江子; 梁 治子; 高橋 規郎; 鎌田 直子; 古川 恭治; 中島 裕夫; 野村 大成; 中村 典  長崎医学会雑誌  83-  (特集)  345  -348  2008/09

Awards & Honors

  • 2010/01 Osaka City University Advanced Mathematical Institute OCAMI Association Special Prize
     Stable equivalence classes of knots and thier invariants 
    受賞者: KAMADA Naoko

Research Grants & Projects

  • Japan Society for the Promotion of Science：Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)
    Date (from‐to) : 2019/04 -2023/03 
    Author : 鎌田 直子
     
    2021年度は仮想結び目の不変量の研究を行なった。古典的結び目ダイアグラムの各アークにはあるルールにそって番号付けができる。その番号付けをAlexander numberingと呼ぶ。しかし、仮想結び目ダイアグラムは常にAlexander numberingを持つとは限らない。Alexander numberingを持つ仮想結び目ダイアグラムをalmost classicalと呼ぶ。Goeritz不変量は仮想結び目ダイアグラムに対応している2種類のalmost classical仮想結び目ダイアグラムを用いて2種類定義される仮想結び目の不変量である。2021年度はこれらのGoeritz不変量のうち1つがある種の変形で不変となることを明らかにした。この不変量は溶接結び目の不変量でもある。 仮想結び目にoriented cut pointを付随させることによってAlexander number付可能となるが、このようなoriented cut pointの集合をcut systemと呼ぶ。 このcut systemとSatohとTaniguchiによって導入された仮想結目の不変量であるn-writheの関係を明らかにした。この関係からAlmost classicalな仮想結び目のn-writheは0であることを示すことができる。また、mを法とした剰余類でAlexander number付可能性な仮想結び目ダイアグラムをmod m almost classicalな仮想結び目ダイアグラムというが、mod m almost classicalな仮想結び目のn-writheはmを法として0となることも示すことができる。 さらに仮想結目ダイアグラムのincoherent double coverはalmost classicalなダイアグラムとある種の同値関係があることを示した。
  • Japan Society of for promotion of science：Grant-in-Aid for Scientific Research (S)or (A)or(B)or(C)
    Date (from‐to) : 2015/04 -2018/03 
    Author : KAMADA Naoko
  • 閉曲面上の結び目の安定同値類の不変量の研究
    Nagoya City University：Grant-in-Aid for Research in Nagoya City University
    Date (from‐to) : 2013/04 -2014/03 
    Author : KAMADA Naoko
  • Structure of stable equivalence clases of knots and thier invariants
    Japan Society of for promotion of science：Grant-in-Aid for Scientific Research (C)
    Date (from‐to) : 2010/04 -2013/03 
    Author : KAMADA Naoko
  • Japan Society for the Promotion of Science：Grants-in-Aid for Scientific Research
    Date (from‐to) : 2011 -2013 
    Author : KAMADA SEIICHI; SAEKI Osamu; OHTSUKI Tomotada; KAMADA Naoko
     
    As generalizations of a quandle, we studied biquandles and symmetric quandles. The notion of a biquandle was re-defined by a system of axioms, and two additional structures, called T-structure and V-structure, were introduced. These structures are related to virtual knots and twisted virtual knots. We also gave a method of constructing a biquandle from a given quandle. By the method, one can easily and effectively construct many biquandles. Presentation of a symmetric quandle was studied, and a method of obtaining a presentation of the fundamental symmetric quandle of a manifold knot was introduced.
  • 結び目の幾何と代数の研究
    Nagoya City University：Grant-in-Aid for Research in Nagoya City University
    Date (from‐to) : 2010/04 -2011/03 
    Author : KAMADA Naoko

Social Contribution

  • 第8回市民公開講座
    Date (from-to) : 2018/11/11-2018/11/11
    Role : Lecturer
    Category : Lecture
    Sponser, Organizer, Publisher  : Nagoya City University
    Event, Program, Title : 小春日和に数学三昧～幾何学と代数学の周辺～
  • 第130回サイエンスカフェ
    Date (from-to) : 2018/04/20
    Role : Lecturer
    Category : Science cafe
    Sponser, Organizer, Publisher  : 名古屋市立大学大学院システム自然科学研究科
    Event, Program, Title : 結び目の数学と応用
  • 中日文化センター
    Date (from-to) : 2017/11/25
    Role : Lecturer
    Category : Others
    Sponser, Organizer, Publisher  : 中日新聞社
    Event, Program, Title : 結び目の数理II
  • 中日文化センター
    Date (from-to) : 2017/10/28
    Role : Lecturer
    Category : Others
    Sponser, Organizer, Publisher  : 中日新聞社
    Event, Program, Title : 結び目の数理I
  • 大学丸ごと研究室体験 〜市立大学・市立高校 高大連携講座〜
    Date (from-to) : 2016/08
    Role : Lecturer
    Category : Others
    Sponser, Organizer, Publisher  : 名古屋市立大学
    Event, Program, Title : 結び目理論
  • 大学丸ごと研究室体験 〜市立大学・市立高校 高大連携講座〜
    Date (from-to) : 2015/08
    Role : Lecturer
    Category : Others
    Sponser, Organizer, Publisher  : 名古屋市立大学
    Event, Program, Title : 結び目理論
  • 中日文化センター
    Date (from-to) : 2015/06
    Role : Lecturer
    Category : Seminar
    Sponser, Organizer, Publisher  : 中日新聞社
    Event, Program, Title : 結び目で数学してみよう
  • Science Cafe
    Date (from-to) : 2014/04
    Role : Lecturer
    Category : Science cafe
    Sponser, Organizer, Publisher  : Nagoya City University Graduate School of Natural Sciences
    Event, Program, Title : エイダ・ラブレス ～バイロンの娘、世界初のプログラマー～
  • Science Cafe
    Date (from-to) : 2011/12
    Role : Lecturer
    Category : Science cafe
    Sponser, Organizer, Publisher  : Nagoya City University Graduate School of Natural Sciences
    Event, Program, Title : カタチの数学〜絡み目〜
  • 教員免許更新講習会
    Date (from-to) : 2011/06
    Role : Lecturer
    Category : Others
  • Science Cafe
    Date (from-to) : 2009/08
    Role : Lecturer
    Category : Science cafe
    Sponser, Organizer, Publisher  : Nagoya City University Graduate School of Natural Sciences
    Event, Program, Title : カタチの数学

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