顔写真

PHOTO

Kin Eiko
金　英子
Kin Eiko
金　英子
Institutional repository
Center for Education in Liberal Arts and Sciences, Professor

keyword braid type，measured train track，measured lamination，fibered 3-manifold，dynamical systems，asymptotic translation length，simple choreography，periodic orbit，planar N-body problem，curve complex，hyperbolic volume，hyperbolic manifold，stretch factor (entroppy)，pseudo-Anosov map，braid group，mapping class group

Institutional repository

Research History 5

  1. 2021/04 - Present
    Center for Education in Liberal Arts and Sciences, Osaka University

  2. 2012/10 - 2021/03
    Osaka University　Graduate School of Science, Department of Mathematics

  3. 2006/04 - 2012/09
    Tokyo Institute of Technology Graduate School of Information Science and Engineering, Department of Mathematical and Computing Sciences, Graduate School of Information Science and Engineering Mathematical and Computing Sciences　Associate Professor

  4. 2004/04 - 2006/03
    京都大学 21 世紀COE京都大学理学研究科リサーチ・フェロー

  5. 2001/04 - 2004/03
    京都大学 日本学術振興会特別研究員PD

Committee Memberships 2

  1. 科学研究費委員会 専門委員　Academic society

    2015/12 - 2017/11

  2. 男女共同参画社会推進委員会 運営委員　Academic society

    2013/07 - 2017/06

Professional Memberships 1

  1. 日本数学会

Research Areas 2

  1. Natural sciences / Mathematical analysis /

  2. Natural sciences / Geometry /

Awards 1

  1. 2024年 JMSJ論文賞

    金英子, 中村博昭, 小川裕之　日本数学会　2024/03

Papers 25

  1. Agol cycles of pseudo-Anosov maps on the 2-punctured torus and 5-punctured sphere

    Jean-Baptiste Bellynck, Eiko Kin

    Geometriae Dedicata　Vol. 219　No. 5　2025/08/08　Research paper (scientific journal)

    Publisher: Springer Science and Business Media LLC

  2. Braids, Entropies and Fibered 2-Fold Branched Covers of 3-Manifolds

    Susumu Hirose, Eiko Kin

    Springer Proceedings in Mathematics & Statistics　p. 81-109　2025/03/02　Part of collection (book)

    Publisher: Springer Nature Singapore

  3. Braids, metallic ratios and periodic solutions of the 2n-body problem

    Yuika Kajihara, Eiko Kin, Mitsuru Shibayama

    Topology and its Applications　Vol. 337　p. 108640-108640　2023/09　Research paper (scientific journal)

    Publisher: Elsevier BV

  4. Volumes of fibered 2-fold branched covers of 3-manifolds

    Susumu Hirose, Efstratia Kalfagianni, Eiko Kin

    Journal of Topology and Analysis　Vol. 17　No. 02　p. 409-425　2023/07/22　Research paper (scientific journal)

    Publisher: World Scientific Pub Co Pte Ltd

  5. Lissajous 3-braids

    Eiko KIN, Hiroaki NAKAMURA, Hiroyuki OGAWA

    Journal of the Mathematical Society of Japan　Vol. -1　No. -1　2022/05/25　Research paper (scientific journal)

    Publisher: Mathematical Society of Japan (Project Euclid)

  6. Goeritz Groups of Bridge Decompositions

    Susumu Hirose, Daiki Iguchi, Eiko Kin, Yuya Koda

    International Mathematics Research Notices　2021/03/11　Research paper (scientific journal)

    Publisher: Oxford University Press (OUP)

  7. A construction of pseudo-Anosov braids with small normalized entropies

    Susumu Hirose, Eiko Kin

    New York J. Math.　Vol. 26　p. 562-597　2020　Research paper (scientific journal)

  8. On hyperbolic surface bundles over the circle as branched double covers of the 3-sphere

    Kin Eiko, Hirose Susumu

    Proceedings of the American Mathematical Society　Vol. accepted　2020　Research paper (scientific journal)

  9. Small asymptotic translation lengths of pseudo-Anosov maps on the curve complex

    Kin Eiko, Hyunshik Shin

    Groups, Geometry, and Dynamics　Vol. to appear　2019　Research paper (scientific journal)

  10. Braids, orderings and minimal volume cusped hyperbolic 3-manifolds

    Kin Eiko, DaleRolfsen

    Vol. 12　No. 3　p. 961-1004　2018　Research paper (scientific journal)

  11. The asymptotic behavior of the minimal pseudo-ANOSOV dilatations in the hyperelliptic handlebody groups*

    Susumu Hirose, Eiko Kin

    QUARTERLY JOURNAL OF MATHEMATICS　Vol. 68　No. 3　p. 1035-1069　2017/09　Research paper (scientific journal)

  12. The boundary of a fibered face of the magic 3-manifold and the asymptotic behavior of minimal pseudo-Anosov dilatations

    Eiko Kin, Mitsuhiko Takasawa

    HIROSHIMA MATHEMATICAL JOURNAL　Vol. 46　No. 3　p. 271-287　2016/11　Research paper (scientific journal)

  13. Dynamics of the monodromies of the fibrations on the magic 3-manifold

    Eiko Kin

    NEW YORK JOURNAL OF MATHEMATICS　Vol. 21　p. 547-599　2015　Research paper (scientific journal)

  14. Pseudo-Anosovs on closed surfaces having small entropy and the Whitehead sister link exterior

    Eiko Kin, Mitsuhiko Takasawa

    Journal of the Mathematical Society of Japan　Vol. 65　No. 2　p. 411-446　2013　Research paper (scientific journal)

  15. Minimal dilatations of pseudo-Anosovs generated by the magic 3-manifold and their asymptotic behavior

    Eiko Kin, Sadayoshi Kojima, Mitsuhiko Takasawa

    ALGEBRAIC AND GEOMETRIC TOPOLOGY　Vol. 13　No. 6　p. 3537-3602　2013　Research paper (scientific journal)

  16. Pseudo-Anosov braids with small entropy and the magic 3-manifold

    Eiko Kin, Mitsuhiko Takasawa

    COMMUNICATIONS IN ANALYSIS AND GEOMETRY　Vol. 19　No. 4　p. 705-758　2011/10　Research paper (scientific journal)

  17. Entropy versus Volume for Pseudo-Anosovs

    E. Kin, S. Kojima, M. Takasawa

    EXPERIMENTAL MATHEMATICS　Vol. 18　No. 4　p. 397-407　2009　Research paper (scientific journal)

  18. THE FORCING PARTIAL ORDER ON A FAMILY OF BRAIDS FORCED BY PSEUDO-ANOSOV 3-BRAIDS

    Elko Kin

    OSAKA JOURNAL OF MATHEMATICS　Vol. 45　No. 3　p. 757-772　2008/09　Research paper (scientific journal)

  19. An asymptotic behavior of the dilatation for a family of pseudo-Anosov braids

    Eiko Kin, Mitsuhiko Takasawa

    KODAI MATHEMATICAL JOURNAL　Vol. 31　No. 1　p. 92-112　2008/03　Research paper (scientific journal)

  20. A family of pseudo-Anosov braids with small dilatation

    Eriko Hironaka, Eiko Kin

    ALGEBRAIC AND GEOMETRIC TOPOLOGY　Vol. 6　p. 699-738　2006　Research paper (scientific journal)

  21. Efficient topological chaos embedded in the blinking vortex system

    E Kin, T Sakajo

    CHAOS　Vol. 15　No. 2　2005/06　Research paper (scientific journal)

  22. Flowlines transverse to knot and link fibrations

    R Ghrist, E Kin

    PACIFIC JOURNAL OF MATHEMATICS　Vol. 217　No. 1　p. 61-86　2004/11　Research paper (scientific journal)

  23. Determination of generalized horseshoe maps inducing all link types

    M Hirasawa, E Kin

    TOPOLOGY AND ITS APPLICATIONS　Vol. 139　No. 1-3　p. 261-277　2004/04　Research paper (scientific journal)

  24. The third power of the smale horseshoe induces all link types

    E Kin

    JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS　Vol. 9　No. 7　p. 939-953　2000/11　Research paper (scientific journal)

  25. A suspension of an orientation preserving diffeomorphism of D-2 with a hyperbolic fixed point and universal template

    E Kin

    JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS　Vol. 9　No. 6　p. 771-795　2000/09　Research paper (scientific journal)

Misc. 10

  1. Notes on pseudo-Anosovs with small dilatations coming from the magic 3-manifold

    Kin Eiko

    RIMS Kokyuroku　Vol. 1836　p. 45-64　2013　Article, review, commentary, editorial, etc. (scientific journal)

    Publisher: Kyoto University

  2. Bounds of minimal dilatation for pseudo-Anosovs and the magic 3-manifold

    Kin Eiko, Mitsuhiko Takasawa

    RIMS Kokyuroku　Vol. 1716　p. 99-106　2010　Article, review, commentary, editorial, etc. (scientific journal)

    Publisher: Kyoto University

  3. ポアンカレと力学系

    金英子

    数理科学　Vol. 544　p. 25-30　2008

  4. 曲面上の同相写像の周期軌道と擬アノソフ型の組みひもについて. (力学系の研究ートポロジーと計算機による新展開)

    金 英子

    京都大学数理解析研究所講究録　Vol. 1485　p. 59-68　2006　Article, review, commentary, editorial, etc. (scientific journal)

    Publisher: 京都大学

  5. An experiment of a global topological chaos by the blinking vortex system

    Mori Yoshihito, Sakajo Takashi, Kin Eiko

    RIMS Kokyuroku　Vol. 1453　p. 59-64　2005/10

    Publisher: Kyoto University

  6. 流体運動中の化学反応の数理の構築に向けてI -位相カオスによる効率的粒子混合- (非線形現象の実験解析と数理解析)

    金 英子, 坂上 貴之, 森 義仁

    数理解析研究所講究録　Vol. 1453　p. 44-58　2005　Article, review, commentary, editorial, etc. (scientific journal)

    Publisher: 京都大学

  7. Templates forced by the Smale Horseshoe Trellises (Developments and Applications of Dynamical Systems Theory)

    Kin Eiko, Collins Pieter

    RIMS Kokyuroku　Vol. 1369　p. 204-211　2004/04

    Publisher: Kyoto University

  8. On positivity and universality of templates induced from diffeomorphisms of the disk

    Kin Eiko

    RIMS Kokyuroku　Vol. 1229　p. 146-150　2001　Article, review, commentary, editorial, etc. (scientific journal)

  9. On an example of a pseudo-Anosov homeomorphism of the disk not inducing all link types

    Kin Eiko

    RIMS Kokyuroku　Vol. 1179　p. 109-119　2000　Article, review, commentary, editorial, etc. (scientific journal)

    Publisher: Kyoto University

  10. The suspension of an orientation preserving diffeomorphism of the disk with a hyperbolic fixed point and universal template

    Kin Eiko

    RIMS Kokyuroku　Vol. 1118　p. 129-146　Article, review, commentary, editorial, etc. (scientific journal)

Presentations 15

  1. Entropy of pseudo-Anosov braids and fiber surfaces of hyperbolic 3-manifolds

    2008

  2. An asymptotic behavior of the dilatation for a family of pseudo-Anosov braids

    The Fourth East Asian School of Knots and Related Topics　2008

  3. Entropy of pseudo-Anosov braids and fiber surfaces of hyperbolic 3-manifolds

    The Fourth East Asian School of Knots and Related Topics　2008

  4. Infinitely many fiber structures and the entropy function on surface bundles over the circle

    Workshop on Topology and Geometry --- Braids and related topics ---　2008

  5. On the pseudo-Anosov braids which arise as monodromies of fiber surfaces for the 3 chain link complement

    Workshop on Topology and Geometry --- Braids and related topics ---　2008

  6. 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

    トポロジーとコンピュータ　2008

  7. 擬アノソフ写像類のエントロピーと体積, 及びそれらの関係について

    トポロジーシンポジウム　2008

  8. 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

    2008 年度秋期日本数学会　2008

  9. Entropy of pseudo-Anosov braids and fiber surfaces of hyperbolic 3-manifolds

    2008

  10. An asymptotic behavior of the dilatation for a family of pseudo-Anosov braids

    The Fourth East Asian School of Knots and Related Topics　2008

  11. Entropy of pseudo-Anosov braids and fiber surfaces of hyperbolic 3-manifolds

    The Fourth East Asian School of Knots and Related Topics　2008

  12. Infinitely many fiber structures and the entropy function on surface bundles over the circle

    Workshop on Topology and Geometry --- Braids and related topics ---　2008

  13. On the pseudo-Anosov braids which arise as monodromies of fiber surfaces for the 3 chain link complement

    Workshop on Topology and Geometry --- Braids and related topics ---　2008

  14. The ratio of the topological entropy to the volume for pseudo-Anosov braids

    The Many Strands of the Braid Groups　2007

  15. The ratio of the topological entropy to the volume for pseudo-Anosov braids

    The Many Strands of the Braid Groups　2007

Social Activities 6

  • 大阪・関西万博 2025 のルクセンブルクパビリオン展示室 『TRACES』とスイスパビリオンのイベント『シンプルさが生む複雑さ・数学を解きほぐすアート』 ワークショップ・アシスタント.

    大阪・関西万博 2025 のルクセンブルクパビリオン, スイスパビリオン　大阪・関西万博 2025

    2025/07/23 - 2025/07/24

  • 第36回JST数学キャラバン「拡がりゆく数学 at 中部大学」

    2022/12/10 - 2022/12/10

  • リケジョ --- 未来 合同シンポジウム2021 サイエンスの学びから将来の未来へ

    お茶の水女子大学・奈良女子大学 理系女性教育開発共同機構　イベントレポート

    2021/08/22 - 2021/08/22

  • 組みひもの数学への招待〜黄金比とミキサーの出逢い

    JST　第26回JST数学キャラバン「拡がりゆく数学 in 大阪」

    2018/05/13 -

  • 数学ってこんなにおもしろいー組ひもと複雑系の話

    大阪大学　サイエンスカフェ＠待兼山

    2013/10/12 -

  • 紐が織りなす数理

    広島大学　2008年度広島大学公開講座「数学の基礎と展望」

    2008/08/04 -

Institutional Repository 1

Content Published in the University of Osaka Institutional Repository (OUKA)

  1. The forcing partial order on a family of braids forced by pseudo-Anosov 3-braids

    Kin Eiko

    Osaka Journal of Mathematics　Vol. 45　No. 3　p. 757-772　2008/09