Kin Eiko

キンエイコ | Kin Eiko

Affiliation and department：
Homepage URL (1)： http://www.math.sci.osaka-u.ac.jp/~kin/

Research field (2)： Mathematical analysis , Geometry

Research keywords (8)： asymptotic translation length , curve complex , hyperbolic volume , hyperbolic 3-manifold , 拡大率, エントロピー , pseudo-Anosov map , braid group , mapping class group

Research theme for competitive and other funds (13)：

2023 - 2028 変分法と位相幾何学によるハミルトン系の新たな理論の構築と展開
2022 - 2027 3次元トポロジーへの応用を目指した離散群の表現空間と大域幾何の研究
2021 - 2026 擬アノソフ周期軌道の複雑度に基づく組みひも群と写像類群の研究
2018 - 2020 擬アノソフ写像の複雑度と三次元多様体のファイバーの多様性 (18K03299)
2013 - 2017 Combinatorial models of character varieties and the dynamics of group actions there

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Papers (22)：

Yuika Kajihara, Eiko Kin, Mitsuru Shibayama. Braids, metallic ratios and periodic solutions of the 2n-body problem. Topology and its Applications. 2023. 337. 108640-108640
Eiko KIN, Hiroaki NAKAMURA, Hiroyuki OGAWA. Lissajous 3-braids. Journal of the Mathematical Society of Japan. 2022. -1. -1
Susumu Hirose, Daiki Iguchi, Eiko Kin, Yuya Koda. Goeritz Groups of Bridge Decompositions. International Mathematics Research Notices. 2021
Susumu Hirose, Eiko Kin. A construction of pseudo-Anosov braids with small normalized entropies. New York J. Math. 2020. 26. 562-597
Kin Eiko, Hirose Susumu. On hyperbolic surface bundles over the circle as branched double covers of the 3-sphere. Proceedings of the American Mathematical Society. 2020. accepted

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MISC (10)：

Kin Eiko. Notes on pseudo-Anosovs with small dilatations coming from the magic 3-manifold. RIMS Kokyuroku. 2013. 1836. 45-64
Kin Eiko, Mitsuhiko Takasawa. Bounds of minimal dilatation for pseudo-Anosovs and the magic 3-manifold. RIMS Kokyuroku. 2010. 1716. 99-106
金英子. ポアンカレと力学系. 数理科学. 2008. 544. 25-30
金英子. 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). 京都大学数理解析研究所講究録. 2006. 1485. 59-68
Mori Yoshihito, Sakajo Takashi, Kin Eiko. An experiment of a global topological chaos by the blinking vortex system. RIMS Kokyuroku. 2005. 1453. 59-64

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Lectures and oral presentations (15)：

Entropy of pseudo-Anosov braids and fiber surfaces of hyperbolic 3-manifolds
(2008)
An asymptotic behavior of the dilatation for a family of pseudo-Anosov braids
(The Fourth East Asian School of Knots and Related Topics 2008)
Entropy of pseudo-Anosov braids and fiber surfaces of hyperbolic 3-manifolds
(The Fourth East Asian School of Knots and Related Topics 2008)
Infinitely many fiber structures and the entropy function on surface bundles over the circle
(Workshop on Topology and Geometry --- Braids and related topics --- 2008)
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)

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Education (4)：

1998 - 2001 Nara Women's University Graduate School of Humanities and Sciences
1996 - 1998 Nara Women's University
- 1998 Nara Women's University Graduate School, Division of Science and Engineering
1992 - 1996 Nara Women's University Faculty of Science

Professional career (1)：

Doctor of Science (Nara Women's University)

Work history (5)：

2021/04 - 現在 Center for Education in Liberal Arts and Sciences, Osaka University
2012/10 - 2021/03 Osaka University Graduate School of Science, Department of Mathematics
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
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
2001/04 - 2004/03 京都大学日本学術振興会特別研究員PD

Committee career (2)：

2015/12 - 2017/11 科学研究費委員会専門委員
2013/07 - 2017/06 男女共同参画社会推進委員会運営委員

Association Membership(s) (1)：

日本数学会

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