Updated on 2026/10/07

写真a

 
TSUCHIDA Asahi
 
Organization
. Specially Appointed Lecturer
Title
Specially Appointed Lecturer
External link

Degree

  • 博士（理学） ( 2017.9   北海道大学 )

  • 修士（理学） ( 2014.3   北海道大学 )

  • 学士（理学） ( 2012.3   北海道大学 )

Research Interests

  • サブリーマン幾何学

  • 写像の特異点論

  • 幾何学的制御理論

Research Areas

  • Natural Science / Geometry

Research History (researchmap)

  • Shiga University

    2023.6

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  • Wakkanai Hokusei Gakuen College   Lecturer

    2020.3 - 2023.5

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  • Polish Academy of Sciences   Institute of Mathematics   Assistant Professor

    2019.3 - 2020.3

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    Country：Poland

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  • Hokkaido University   Research Institute for Electronic Science

    2017.12 - 2019.2

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  • Hokkaido University   Faculty of Science

    2017.10 - 2017.11

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Research History

  • Niigata University   Specially Appointed Lecturer

    2026.10

  • Niigata University   Specially Appointed Lecturer

    2026.9

Education

  • Hokkaido University   Graduate School of Science   Department of Mathematics

    2014.4 - 2017.9

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  • Hokkaido University   Graduate School of Science   Department of Mathematics

    2012.4 - 2014.3

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  • Hokkaido University   School of Science

    2008.4 - 2012.3

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Professional Memberships

 

Papers

  • Geoids as two dimensional hypersurfaces Reviewed

    Mirjana Milijević, Asahi Tsuchida

    PROCEEDINGS of International conference on Contemporary Theory and Practice in Construction XV   1 ( 15 )   320 - 325   2022.8

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  • DUALITY OF (2, 3, 5)-DISTRIBUTIONS AND LAGRANGIAN CONE STRUCTURES Reviewed

    GOO ISHIKAWA, YUMIKO KITAGAWA, ASAHI TSUCHIDA, WATARU YUKUNO

    Nagoya Mathematical Journal   1 - 13   2020.1

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    Authorship：Corresponding author   Publishing type：Research paper (scientific journal)   Publisher：Cambridge University Press (CUP)  

    As was shown by a part of the authors, for a given <inline-formula>
    <alternatives>
    <inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" mimetype="image" xlink:href="S0027763019000461_inline1.png" />
    <tex-math>$(2,3,5)$</tex-math>
    </alternatives>
    </inline-formula>-distribution <inline-formula>
    <alternatives>
    <inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" mimetype="image" xlink:href="S0027763019000461_inline2.png" />
    <tex-math>$D$</tex-math>
    </alternatives>
    </inline-formula> on a five-dimensional manifold <inline-formula>
    <alternatives>
    <inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" mimetype="image" xlink:href="S0027763019000461_inline3.png" />
    <tex-math>$Y$</tex-math>
    </alternatives>
    </inline-formula>, there is, locally, a Lagrangian cone structure <inline-formula>
    <alternatives>
    <inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" mimetype="image" xlink:href="S0027763019000461_inline4.png" />
    <tex-math>$C$</tex-math>
    </alternatives>
    </inline-formula> on another five-dimensional manifold <inline-formula>
    <alternatives>
    <inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" mimetype="image" xlink:href="S0027763019000461_inline5.png" />
    <tex-math>$X$</tex-math>
    </alternatives>
    </inline-formula> which consists of abnormal or singular paths of <inline-formula>
    <alternatives>
    <inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" mimetype="image" xlink:href="S0027763019000461_inline6.png" />
    <tex-math>$(Y,D)$</tex-math>
    </alternatives>
    </inline-formula>. We give a characterization of the class of Lagrangian cone structures corresponding to <inline-formula>
    <alternatives>
    <inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" mimetype="image" xlink:href="S0027763019000461_inline7.png" />
    <tex-math>$(2,3,5)$</tex-math>
    </alternatives>
    </inline-formula>-distributions. Thus, we complete the duality between <inline-formula>
    <alternatives>
    <inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" mimetype="image" xlink:href="S0027763019000461_inline8.png" />
    <tex-math>$(2,3,5)$</tex-math>
    </alternatives>
    </inline-formula>-distributions and Lagrangian cone structures via pseudo-product structures of type <inline-formula>
    <alternatives>
    <inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" mimetype="image" xlink:href="S0027763019000461_inline9.png" />
    <tex-math>$G_{2}$</tex-math>
    </alternatives>
    </inline-formula>. A local example of nonflat perturbations of the global model of flat Lagrangian cone structure which corresponds to <inline-formula>
    <alternatives>
    <inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" mimetype="image" xlink:href="S0027763019000461_inline10.png" />
    <tex-math>$(2,3,5)$</tex-math>
    </alternatives>
    </inline-formula>-distributions is given.

    DOI： 10.1017/nmj.2019.46

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  • Application of Singularity Theory to Bifurcation of Band Structures in Crystals Reviewed

    H. Teramoto, A. Tsuchida, K. Kondo, S. Izumiya, M. Toda, T. Komatsuzaki

    Journal of Singularities   21   268 - 281   2020

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    Publishing type：Research paper (scientific journal)   Publisher：Journal of Singularities  

    DOI： 10.5427/jsing.2020.21p

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  • A note on singular points of bundle homomorphisms from a tangent distribution into a vector bundle of the same rank Reviewed

    Kentaro Saji, Asahi Tsuchida

    Rocky Mountain Journal of Mathematics   49 ( 1 )   335 - 354   2019.3

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    Authorship：Corresponding author   Language：English   Publishing type：Research paper (scientific journal)  

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  • Implicit Hamiltonian systems and singular curves of distributions Reviewed

    Asahi Tsuchida

    Singularities in Generic Geometry   431 - 448   2018.10

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    Publishing type：Research paper (international conference proceedings)   Publisher：Mathematical Society of Japan  

    DOI： 10.2969/aspm/07810431

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  • Singular controls for port-Hamiltonian systems Reviewed

    Tsuchida, Asahi

    RIMS Kokyuroku Bessatsu   B55   225 - 238   2016.4

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    Language：English   Publishing type：Research paper (scientific journal)  

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MISC

Research Projects

  • サブリーマン多様体の微分幾何学の特異点論的研究

    Grant number：24K16918

    2024.4 - 2027.3

    System name：科学研究費助成事業

    Research category：若手研究

    Awarding organization：日本学術振興会

    土田 旭

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    Grant amount：\2340000 （ Direct Cost: \1800000 、 Indirect Cost：\540000 ）

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Teaching Experience (researchmap)

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