Rchr
J-GLOBAL ID:201601012448570322   Update date: Feb. 27, 2024

Horiguchi Tatsuya

ホリグチ タツヤ | Horiguchi Tatsuya
Affiliation and department:
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 (15):
  • Tatsuya Horiguchi. Toward cohomology rings of intersections of Peterson varieties and Richardson varieties. To appear in Journal of Algebra. 2024
  • Hiraku Abe, Tatsuya Horiguchi, Hideya Kuwata, Haozhi Zeng. Geometry of Peterson Schubert calculus in type A and left-right diagrams. To appear in Algebraic Combinatorics. 2023
  • Tatsuya Horiguchi. Mixed Eulerian numbers and Peterson Schubert calculus. Int. Math. Res. Not. IMRN. 2023. 2024. 2. 1422-1471
  • Makoto Enokizono, Tatsuya Horiguchi, Takahiro Nagaoka, Akiyoshi Tsuchiya. An additive basis for the cohomology rings of regular nilpotent Hessenberg varieties. Transformation Groups. 2022. 28. 2. 695-732
  • Megumi Harada, Tatsuya Horiguchi, Satoshi Murai, Martha Precup, Julianna Tymoczko. A filtration on the cohomology rings of regular nilpotent Hessenberg varieties. Mathematische Zeitschrift. 2021. 298. 3-4. 1345-1382
more...
MISC (12):
  • Tatsuya Horiguchi, Mikiya Masuda, Takashi Sato. Modular law through GKM theory. arXiv:2310.16235. 2023
  • Tatsuya Horiguchi, Tomoaki Shirato. Quantization of Peterson's statement in Lie type A. arXiv:2302.06041. 2023
  • 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
  • Tatsuya Horiguchi, Mikiya Masuda, John Shareshian, Jongbaek Song. Toric orbifolds associated with partitioned weight polytopes in classical types. arXiv:2105.05453. 2021
  • Makoto Enokizono, Tatsuya Horiguchi, Takahiro Nagaoka, Akiyoshi Tsuchiya. Uniform bases for ideal arrangements. arXiv:1912.02448. 2019
more...
Books (1):
  • トゥー 多様体
    裳華房 2019
Lectures and oral presentations  (71):
  • permutohedral variety の gamma vector の対称群の表現版
    (第5回ヘッセンバーグ勉強会2023 2023)
  • Petersonの主張の量子化
    (鹿児島勉強会 2023)
  • 正則冪零ヘッセンバーグ多様体と単位元に付随する opposite Schubert cell との交わりの座標環
    (第48回変換群論シンポジウム 2022)
  • Peterson多様体と巡回群
    (第4回ヘッセンバーグ勉強会2022 2022)
  • Mixed Eulerian numbers and Peterson Schubert calculus
    (RIMS共同研究: 変換群論の新潮流 2022)
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 (5):
  • 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)
  • 2015/04 - 2016/03 日本学術振興会 特別研究員DC2
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.

Return to Previous Page