Updated on 2024/11/06

Information

 

写真a

 
KATADA MAI
 
Organization
Faculty of Mathematics Division of Algebra and Geometry Assistant Professor
School of Sciences Department of Mathematics（Concurrent）
Graduate School of Mathematics Department of Mathematics（Concurrent）
Title
Assistant Professor
Contact information
メールアドレス
Tel
0928024402
External link

Degree

  • Ph.D(Science)

Research Interests・Research Keywords

  • Research theme： On the stable (co)homology of the IA-automorphism groups of free groups, On the action of the automorphism groups of free groups on the spaces of Jacobi diagrams

    Keyword： Jacobi diagrams, automorphism groups of free groups, IA-automorphism groups, general linear groups, Group (co)homology

    Research period： 2023.10

Papers

Presentations

  • The first homology of the IA-automorphism groups of free groups with coefficients in spaces of Jacobi diagrams Invited International conference

    @片田　舞

    Low dimensional topology and number theory XV  2024.3 

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    Event date： 2024.3

    Language：Japanese   Presentation type：Symposium, workshop panel (public)  

    Venue：九州大学   Country：Japan  

  • The first homology of the IA-automorphism groups of free groups with coefficients in spaces of Jacobi diagrams Invited

    @片田　舞

    九大トポロジー金曜セミナー  2024.2 

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    Event date： 2024.2

    Language：Japanese   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    Venue：九州大学   Country：Japan  

  • Stable rational cohomology of the IA-automorphism groups of free groups Invited

    @片田　舞

    九大代数学セミナー  2024.1 

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    Event date： 2024.1

    Language：Japanese   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    Venue：九州大学   Country：Japan  

  • Stable rational (co)homology of the IA-automorphism groups of free groups Invited

    @片田　舞

    微分トポロジーセミナー  2023.12 

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    Event date： 2023.12

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：京都大学   Country：Japan  

  • Stable rational homology of the IA-automorphism groups of free groups Invited

    @片田　舞

    第49回変換群論シンポジウム  2023.12 

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    Event date： 2023.12

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：長崎商工会議所3階第1会議室   Country：Japan  

  • Stable rational cohomology of the IA-automorphism groups of free groups Invited International conference

    @片田　舞

    Tokyo--Seoul Conference in Mathematics, 2023 Topology and Geometric Group theory  2023.10 

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    Event date： 2023.10

    Language：English   Presentation type：Symposium, workshop panel (public)  

    Venue：The University of Tokyo   Country：Japan  

    The IA-automorphism group IAn of the free group Fn is a normal subgroup of the automorphism group of Fn, which is an analogue of the Torelli groups of surfaces. Westudy the stable rational cohomology of IAn, and its subgroup that is obtained as the image of the map induced by the abelianization map of IAn. We also consider the stable rational cohomology of the Torelli groups of surfaces.

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Academic Activities

  • Screening of academic papers

    Role(s)： Peer review

    2024

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    Type：Peer review 

    Number of peer-reviewed articles in foreign language journals：1

Other

  • 論文``The first homology of IA_n with coefficients in spaces of Jacobi diagrams''　をarXivに投稿した（arXiv:2312.10428）。

    2023.12

Research Projects

  • Study on the spaces of Jacobi diagrams and on the stable cohomology of the IA-automorphism groups of free groups

    Grant number：24K16916  2024.4 - 2029.3

    Grants-in-Aid for Scientific Research  Grant-in-Aid for Early-Career Scientists

    片田 舞

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    Grant type：Scientific research funding

    本研究では，ヤコビ図の空間と，IA-自己同型群の安定有理コホモロジーを，表現論的，圏論的観点から研究することを目的とする．主に，ヤコビ図の空間の自由群の自己同型群上の加群構造の研究，ヤコビ図の空間を係数にもつ自由群の自己同型群のホモロジーの計算，IA-自己同型群の有理コホモロジーの部分代数であるアルバネーゼコホモロジーの決定，圏VICの反対圏上の加群としてのIA-自己同型群の有理コホモロジーの構造の研究を行う．

    CiNii Research

  • 自由群の自己同型群のヤコビ図の空間への作用

    Grant number：22J14812, 22KJ1864  2022 - 2023

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for JSPS Fellows

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    Authorship：Principal investigator  Grant type：Scientific research funding

  • 自由群の自己同型群のヤコビ図の空間への作用

    2022 - 2023

    Japan Society for the Promotion of Science  Research Fellowships for Young Scientists

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    Authorship：Principal investigator  Grant type：Joint research

FD Participation

  • 2024.4   Role：Participation   Title：令和６年度 第１回全学FD（新任教員の研修）The 1st All-University FD (training for new faculty members) in FY2024

    Organizer：University-wide