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J-GLOBAL ID：201601012448570322   Update date: Apr. 03, 2025

Horiguchi Tatsuya

ホリグチ タツヤ | Horiguchi Tatsuya
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Affiliation and department：
National Institute of Technology, Akashi College

About National Institute of Technology, Akashi College


Research keywords  (6)： combinatorics ,  toric variety ,  Schubert calculus ,  equivariant cohomology ,  flag variety ,  Hessenberg variety
Research theme for competitive and other funds  (5)：
  • 2023 - 2028 正則冪零ヘッセンバーグ多様体と正則半単純ヘッセンバーグ多様体の幾何
  • 2019 - 2023 ヘッセンバーグ多様体上のシューベルトカルキュラス
  • 2021 - 2022 Hessenberg多様体の幾何・トポロジーの新たな展開
  • 2017 - 2020 正則なヘッセンバーグ多様体の研究
  • 2015 - 2017 シュプリンガー多様体のシューベルトカルキュラスと組合せ的差分商作用素の研究
Papers (18)：
  • Tatsuya Horiguchi, Tomoaki Shirato. Coordinate rings of regular nilpotent Hessenberg varieties in the open opposite schubert cell. Forum of Mathematics, Sigma. 2025. 13. 1-42
  • Tatsuya Horiguchi, Mikiya Masuda, Takashi Sato. Modular law through GKM theory. Algebraic Combinatorics. 2024. 7. 5. 1433-1451
  • Tatsuya Horiguchi, Mikiya Masuda, John Shareshian, Jongbaek Song. Toric orbifolds associated with partitioned weight polytopes in classical types. Selecta Math. (N.S.). 2024. 30. 5. No.84
  • Hiraku Abe, Tatsuya Horiguchi, Hideya Kuwata, Haozhi Zeng. Geometry of Peterson Schubert calculus in type A and left-right diagrams. Algebraic Combinatorics. 2024. 7. 2. 383-412
  • Tatsuya Horiguchi. Toward cohomology rings of intersections of Peterson varieties and Richardson varieties. Journal of Algebra. 2024. 647. 277-311
ｍore...
MISC (11)：
  • Tatsuya Horiguchi, Mikiya Masuda, Takashi Sato, John Shareshian, Jongbaek Song. The representation of Sn on the cohomology of the permutohedral variety and gamma vectors of partitioned permutohedra. arXiv:2405.09242. 2024
  • Tatsuya Horiguchi. Regular nilpotent partial Hessenberg varieties. arXiv:2405.07247. 2024
  • 堀口達也. Mixed Eulerian numberとPeterson Schubert calculusの関係. 数理解析研究所講究録「変換群論の新潮流」. 2022. 2231. 152-159
  • Makoto Enokizono, Tatsuya Horiguchi, Takahiro Nagaoka, Akiyoshi Tsuchiya. Uniform bases for ideal arrangements. arXiv:1912.02448. 2019
  • 堀口 達也. 正則な冪零ヘッセンバーグ多様体のコホモロジー環の基底について. 数理解析研究所講究録「変換群論とその応用」. 2019. 2135. 40-44
ｍore...
Books (1)：
  • トゥー 多様体
    裳華房 2019
Lectures and oral presentations  (77)：
  • Regular nilpotent partial Hessenberg varieties
    (Algebraic Geometry, Topology, Combinatorics and Related Topics 2025 2025)
  • Regular nilpotent partial Hessenberg varieties
    (Superspace coinvariants, hyperplane arrangements and Hessenberg varieties 2024)
  • Coordinate ring of the intersection of a regular nilpotent Hessenberg variety with the opposite Schubert cell associated with the identity element
    (東工大表現論セミナー 2024)
  • Regular nilpotent partial Hessenberg varieties
    (Workshop on toric topology 2024 in Shanghai (online) 2024)
  • Regular nilpotent partial Hessenberg varieties
    (2024)
ｍore...
Education (3)：
  • 2013 - 2016 Osaka City University Graduate School of Science Mathematics and Physics Course
  • 2011 - 2013 Osaka City University Graduate School of Science Mathematics and Physics Course
  • 2007 - 2011 Osaka City University Faculty of Science Department of Mathematics
Professional career (1)：
  • 博士(理学) (大阪市立大学)
Work history (6)：
  • 2022/04 - 2025/03 Ube National College of Technology
  • 2021/04 - 2022/03 Osaka City University
  • 2020/04 - 2021/03 Osaka City University
  • 2017/04 - 2020/03 日本学術振興会 特別研究員PD
  • 2016/04 - 2017/03 日本学術振興会 特別研究員PD(DC2からの切替)
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Awards (3)：
  • 2019/04 - Osaka City University Advanced Mathematical Institute OCAMI Association Special Prize Topology of Hessenberg varieties and combinatorics
  • 2016/04 - OCAMI Association Thesis Prize OCAMI Association Thesis Prize
  • 2013/07 - The 7th Graduate Student Workshop on Mathematics Young Mathematician Award
Association Membership(s) (1)：
THE MATHEMATICAL SOCIETY OF JAPAN
※ Researcher’s information displayed in J-GLOBAL is based on the information registered in researchmap. For details, see here.

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