Rchr
J-GLOBAL ID：201601012448570322
Update date: Nov. 19, 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 (18)：
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Tatsuya Horiguchi, Tomoaki Shirato. Coordinate rings of regular nilpotent Hessenberg varieties in the open opposite Schubert cell. To appear in Forum of Mathematics, Sigma. 2024
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Tatsuya Horiguchi, Mikiya Masuda, Takashi Sato. Modular law through GKM theory. Algebraic Combinatorics. 2024. 7. 5. 1433-1451
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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
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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
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Tatsuya Horiguchi. Toward cohomology rings of intersections of Peterson varieties and Richardson varieties. Journal of Algebra. 2024. 647. 277-311
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MISC (11)：
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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
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Tatsuya Horiguchi. Regular nilpotent partial Hessenberg varieties. arXiv:2405.07247. 2024
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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
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Makoto Enokizono, Tatsuya Horiguchi, Takahiro Nagaoka, Akiyoshi Tsuchiya. Uniform bases for ideal arrangements. arXiv:1912.02448. 2019
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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
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Books (1)：
Lectures and oral presentations (76)：
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Regular nilpotent partial Hessenberg varieties
(Superspace coinvariants, hyperplane arrangements and Hessenberg varieties 2024)
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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)
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Regular nilpotent partial Hessenberg varieties
(Workshop on toric topology 2024 in Shanghai (online) 2024)
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Regular nilpotent partial Hessenberg varieties
(2024)
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Regular nilpotent partial Hessenberg varieties
(TGTC Workshop 2024 in Himeji 2024)
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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
