NAKAE Yasuharu

写真a

Affiliation

Graduate School of Engineering Science  Department of Mathematical Science and Electrical-Electronic-Computer Engineering  Mathematical Science Course 

Laboratory Address

1-1 tegata-gakuencho, akita-city, akita, Japan 010-8502
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Research Interests 【 display / non-display 】

  • low-dimensional topology

  • 低次元トポロジー

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Graduating School 【 display / non-display 】

  • 1993.04
    -
    1997.03

    Tokyo Institute of Technology   Faculty of Science   Graduated

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Graduate School 【 display / non-display 】

  • 1999.04
    -
    2004.03

    The University of Tokyo  Graduate School, Division of Mathematical Sciences  Doctor's Course  Completed

  • 1997.04
    -
    1999.03

    The University of Tokyo  Graduate School, Division of Mathematical Sciences  Master's Course  Completed

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Campus Career 【 display / non-display 】

  • 2016.04
    -
    Now

    Akita University   Graduate School of Engineering Science   Department of Mathematical Science and Electrical-Electronic-Computer Engineering   Mathematical Science Course   Lecturer  

  • 2013.04
    -
    2016.03

    Akita University   Graduate School of Engineering and Resource Science   Department of Computer Science and Engineering   Graduate School of Engineering and Resource Science   Lecturer  

  • 2010.04
    -
    2013.03

    Akita University   Graduate School of Engineering and Resource Science   Department of Computer Science and Engineering   Graduate School of Engineering and Resource Science   Assistant Professor  

  • 2008.10
    -
    2010.03

    Akita University   Faculty of Engineering and Resource Science   Assistant Professor  

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External Career 【 display / non-display 】

  • 2021.10
    -
    2022.03

    Iwate University   Graduate School of Arts and Sciences   Part time Lecturer  

  • 2019.09
    -
    2020.03

    Iwate University   Graduate School of Arts and Sciences   Part time Lecturer  

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Academic Society Affiliations 【 display / non-display 】

  • 2002.10
    -
    Now
     

    Japan

     

    The Mathematical Society of Japan

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Research Areas 【 display / non-display 】

  • Natural Science / Geometry

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Thesis for a degree 【 display / non-display 】

  • Taut foliations of torus knot complements

    Yasuharu NAKAE 

    Journal of Mathematical Sciences The University of Tokyo  14 ( 1 ) 31 - 67   2004.03

    Single author

  • プレッツェル絡み目に対応する葉層錐について

    Yasuharu NAKAE 

    FOLIATIONS: GEOMETRY AND DYNAMICS    387 - 401   1999.03

    Single author

    DOI

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Research Achievements 【 display / non-display 】

    ◆Original paper【 display / non-display 】

  • Integral left-orderable surgeries on genus one fibered knots

    Kazuhiro Ichihara, Yasuharu Nakae

    Journal of Knot Theory and its Ramifications ( World Scientific Publishing Company )  30 ( 4 )   2021.04  [Refereed]

    Research paper (journal)   Domestic Co-author

    DOI arXiv

  • A good presentation of (-2,3,2s+1)-type Pretzel knot group and R-covered foliation

    Yasuharu Nakae

    Journal of Knot Theory and Its Ramifications   22   2013.01  [Refereed]

    Research paper (journal)   Single author

    DOI arXiv

  • Lower weight Gel'fand-Kalinin-Fuks cohomology groups of formal Hamiltonian vector fields on R^4

    Kentaro Mikami, Yasuharu Nakae

    Journal of Mathematical Sciences, The University of Tokyo   19 ( 4 ) 699 - 716   2012.12  [Refereed]

    Research paper (journal)   Domestic Co-author

  • Taut foliations of torus knot complements

    Yasuharu NAKAE

    Journal of Mathematical Sciences The University of Tokyo   14 ( 1 ) 31 - 67   2007.01  [Refereed]

    Research paper (journal)   Single author

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    ◆International conference proceedings【 display / non-display 】

  • Foliation cones corresponding to some Pretzel links

    Yasuharu NAKAE

    FOLIATIONS: GEOMETRY AND DYNAMICS     387 - 401   2002.01  [Refereed]

    Research paper (international conference proceedings)   Single author

    DOI

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Grant-in-Aid for Scientific Research 【 display / non-display 】

  • Grant-in-Aid for Scientific Research(C)

    Project Year： 2019.04  -  2023.03 

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Presentations 【 display / non-display 】

  • Dehn surgeries along (−2, 3, 2s + 1)-type Pretzel knot with no R-covered foliation and left-orderable groups

    Yasuharu Nakae

    Geometry and Foliations 2013  (Graduate School of Mathematical Sciences, The University of Tokyo)  2013.09  -  2013.09 

  • A good presentation of (-2,3,2s+1)-type Pretzel knot group and R-covered foliation

    Yasuharu NAKAE

    Foliations 2012  (Lodz, Poland)  2012.06  -  2012.06 

  • (-2,3,2s+1)-type Pretzel knot and R-covered foliation

    Yasuharu NAKAE

    Todai Forum 2011: Geometry and Dynamics  (Unité de mathématiques pures et appliquées, École normale supérieure de Lyon, France)  2011.10  -  2011.10 

    (-2,3,2s+1)型のPretzel結び目に沿ったDehn手術で得られる閉3次元多様体で, R-covered foliationが存在しないもののslopeを得た

  • An extension of Roberts’s construction to a twice puncutured surface bundle

    Yasuharu NAKAE

    Foliations, Topology and Geometry in Rio  (Pontifica Universidade Catolica, Rio de Janeiro, Brazil)  2007.08  -  2007.08 

    R.Robertsによる一つ穴あき曲面束におけるtaut葉層構造の構成の研究を、２つの境界をもつ曲面束の研究に拡張した結果について発表した。

  • Taut foliations of torus knot complements

    Yasuharu NAKAE

    Foliations 2005  (University of Lodz, Lodz, Poland)  2005.06  -  2005.06 

    一般のトーラス結び目の補空間に、境界スロープとして(-∞,1)を持つtaut葉層構造の族を構成し、それに伴う結果について発表した。

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