Updated on 2026/09/24

写真a

 
KAWABE, Daiki
 
Affiliation
Faculty of Education and Integrated Arts and Sciences, School of Education
Job title
Assistant Professor(without tenure)
Degree
Doctor of Science ( 2021.09 Tohoku University )
Mail Address
メールアドレス

Research Experience

  • 2026.04
    -
    Now

    Waseda University   Department of Mathematics, School of Education   Assistant Professor (without tenure)

  • 2024.05
    -
    2026.03

    EAGLYS Inc   Encryption Group, Tech Business Unit   Researcher and Engineer

  • 2022.04
    -
    2023.03

    Tohoku University   Graduate School of Science

  • 2021.10
    -
    2022.03

    Tohoku University   Research Alliance Center for Mathematical Sciences

Education Background

  • 2018.04
    -
    2021.09

    Tohoku University   Graduate School of Science   Department of Mathematics  

    Doctor Course

  • 2016.04
    -
    2018.03

    Kyoto University   Graduate School of Science   Division of Mathematics  

  • 2010.04
    -
    2014.03

    Waseda University   School of Education   Department of Mathematics  

Committee Memberships

  • 2025.01
    -
    Now

    American Mathematical Society  Reviewer for Mathematical Reviews-American Mathematical Society

Professional Memberships

  • 2022.04
    -
    Now

    The Mathematical Society of Japan

Research Areas

  • Algebra   代数幾何学

Research Interests

  • Motives

  • Bloch conjecture on surfaces

  • Kimura-O’Sullivan conjecture

  • Conservativity conjecture

  • Grothendieck's period conjecutre

  • Elliptic surfaces

  • Quasi-elliptic surfaces

  • Matrix multiplication complexity

▼display all

 

Papers

  • Grothendieck’s period conjecture for Kummer surfaces of self-product CM type

    Daiki Kawabe

    Kyoto Journal of Mathematics   66 ( 3 ) 601 - 612  2026.08  [Refereed]

    Authorship：Lead author, Corresponding author

    　View Summary

    We show that the Grothendieck period conjecture holds for the Kummer surface associated with the square of a complex muliplication (CM) elliptic curve. This means that the period isomorphism is dense in the torsor of motivic periods. In other words, the isomorphism is dense in the torsor of motivated periods, and motivated classes on powers of the surface are algebraic. The point is that the motive has a nontrivial transcendental part but belongs to the Tannakian category generated by the motive of a CM elliptic curve.

    DOI

    Scopus

  • Chow motives of quasi-elliptic surfaces

    Daiki Kawabe

    Osaka Journal of Mathematics   64 ( 4 ) 559 - 567  2024.10  [Refereed]  [International journal]

    Authorship：Lead author, Corresponding author

    　View Summary

    We prove that the transcendental motive of any quasi-elliptic surface is trivial. To prove this, we focus on the uniruledness of quasi-elliptic surfaces.

  • Chow motives of genus one fibrations

    Daiki Kawabe

    manuscripta mathematica   175   635 - 678  2024.04  [Refereed]  [International journal]

    Authorship：Lead author, Corresponding author

    　View Summary

    Let $f: X \rightarrow C$ be a genus 1 fibration from a smooth projective surface,
    i.e. its generic fiber is a regular genus 1 curve.
    Let $j: J \rightarrow C$ be the Jacobian fibration of $f$.
    In this paper, we prove that the Chow motives of $X$ and $J$ are isomorphic.
    As an application, combined with our concomitant work on motives of quasi-elliptic fibrations, we prove Kimura finite-dimensionality for smooth projective surfaces not of general type with geometric genus 0.
    This generalizes Bloch-Kas-Lieberman's result to arbitrary characteristic.

    DOI

    Scopus

Presentations

  • GLV Scalar Multiplication on the Kumar-Mukamel RM Hyperelliptic Curve

    Daiki Kawabe, Katsuyuki Takashima

    Computer Security Symposium 2026 (CSS 2026) 

    Presentation date： 2026.10

    Event date：
    2026.10
    　
    　

  • Insights into the Matrix Multiplication Tensor and Its Border Rank

    Daiki Kawabe  [Invited]

    Waseda number theory seminar 

    Presentation date： 2025.07

  • Grothendieck's period conjecture for Kummer surfaces of self-product CM type

    Daiki Kawabe

    Mathematical Society of Japan, Waseda University 

    Presentation date： 2025.03

  • Around the Grothendieck period conjecture for surfaces with $p_{g} > 0$

    Daiki Kawabe  [Invited]

    Number theory seminar. Kyoto University 

    Presentation date： 2023.07

  • Chow motives of genus one fibrations

    Daiki Kawabe

    Mathematical Society of Japan in 2023. Chuo University 

    Presentation date： 2023.03

  • Chow motives of genus one fibrations

    Daiki Kawabe  [Invited]

    Bielefeld Algebraic and Arithmetic Geometry Seminar. Bielefeld University, Germany. 

    Presentation date： 2022.10

  • Chow motives of genus one fibrations

    Daiki Kawabe

    Sendai-Hiroshima Number theory research conference (hybrid). Tohoku University. 

    Presentation date： 2022.07

  • The arithmetic of genus one fibrations

    Daiki Kawabe

    Number theory seminar(online). Tohoku University 

    Presentation date： 2022.07

  • Chow motives of genus one fibrations

    Daiki Kawabe  [Invited]

    Research conference "Expansion of Algebra"(hybrid). Tokyo University of Science 

    Presentation date： 2022.03

  • Chow motives of elliptic surfaces

    Daiki Kawabe  [Invited]

    Algebra Seminar(online). Tohoku University 

    Presentation date： 2021.05

▼display all

Research Projects

  • 効率的で安全に利用可能な高機能暗号の数理基盤の構築と展開

    科学技術振興機構  戦略的な研究開発の推進 経済安全保障重要技術育成プログラム

    Project Year :

    2025
    -
    2029
     

    高木 剛

    　View Summary

    本研究課題では、量子計算機による攻撃やサイドチャネル攻撃など様々な脅威に対しても安全な高機能暗号の構築を目的とします。高機能暗号により、完全準同型暗号・関数型暗号、ブラインド署名・リング署名、更には秘密計算など、豊かな応用を持つ暗号プロトコルが実現可能です。耐量子性を有する暗号プリミティブ(格子暗号・符号暗号・多変数多項式暗号・同種写像暗号など)を基にした高機能暗号に対して、帰着計算問題の数理的構造や高速実装アルゴリズムの研究開発を推進します。

  • 緩やかな変動をもつファイバー曲面のモチーフ分解

    日本学術振興会  科学研究費助成事業

    Project Year :

    2026.07
    -
    2028.03
     

    川邊 大貴

  • Research on motives of fibered surfaces

    Waseda University 

    Project Year :

    2026.06
    -
    2027.03
     

    Daiki Kawabe

  • Research on motives of fibered surfaces in positive characteristics

    Tohoku University  Encouragement Program for Young Scientists (500000yen)

    Project Year :

    2022.09
    -
    2023.03
     

    Daiki Kawabe

Other

  • Tohoku University Global Hagi Scholarship

    2018.04
    -
    2021.03

  • 1st Class Teaching Certificate of Senior High School (Mathematics)

    2014.03
    -
    　

  • First-Class Teaching Certificate for Junior High School (Mathematics)

    2014.03
    -
    　
 

Syllabus

 

Social Activities

Academic Activities

  • Waseda Number Theory Seminar Co-organizer

    Academic society, research group, etc.

    2026.04
    -
    Now