Rchr
J-GLOBAL ID:201601012448570322
Update date: May. 21, 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):
-
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
-
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 (14):
-
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
-
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
more...
Books (1):
Lectures and oral presentations (72):
-
Regular nilpotent partial Hessenberg varieties
(TGTC Workshop 2024 in Himeji 2024)
-
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)
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):
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
Return to Previous Page