Horiguchi Tatsuya 堀口達也

… Alternative Names

堀口達也ホリグチタツヤ

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Researcher Number	60780757
Other IDs
Affiliation (Current)	2025: 明石工業高等専門学校, 教養学群, 准教授
Affiliation (based on the past Project Information) *help	2022 – 2023: 宇部工業高等専門学校, 一般科, 准教授 2021: 大阪市立大学, 大学院理学研究科, 特任准教授 2020: 大阪市立大学, 大学院理学研究科, 特任助教 2019: 大阪大学, 情報科学研究科, 特別研究員(PD)
Review Section/Research Field	Principal Investigator Basic Section 11020:Geometry-related / Basic Section 11010:Algebra-related
Keywords	Principal Investigator 旗多様体 / ヘッセンバーグ多様体 / ピーターソン多様体 / modular law / GKMグラフ / 対数微分加群 / イデアル配置 / 部分旗多様体 / シューベルトカルキュラス / mixed Eulerian number … More / toric orbifold / Schubert calculus / Richardson多様体 / Schubert多様体 / Peterson多様体 / 対称群の表現 / permutohedron / gamma vector Less

Research Projects
(2 results)
Research Products
(23 results)

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Principal Investigator
- Principal Investigator
  
  堀口達也
- Project Period (FY)
  2023 – 2027
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Ube National College of Technology
ヘッセンバーグ多様体上のシューベルトカルキュラスPrincipal Investigator
- Principal Investigator
  
  堀口達也
- Project Period (FY)
  2019 – 2024
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Ube National College of Technology
  Osaka City University
  Osaka University

All 2024 2023 2022 2021 2020 2019

All Journal Article Presentation

[Journal Article] Toward cohomology rings of intersections of Peterson varieties and Richardson varieties2024
- Author(s)
  Horiguchi Tatsuya
- Journal Title
  
  Journal of Algebra
  
  Volume: 647 Pages: 277-311
- DOI
  10.1016/j.jalgebra.2024.01.046
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14508
[Journal Article] Geometry of Peterson Schubert calculus in type A and left-right diagrams2024
- Author(s)
  Abe Hiraku、Horiguchi Tatsuya、Kuwata Hideya、Zeng Haozhi
- Journal Title
  
  Algebraic Combinatorics
  
  Volume: 7 Issue: 2 Pages: 383-412
- DOI
  10.5802/alco.342
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14508, KAKENHI-PROJECT-23K03102
[Journal Article] Mixed Eulerian Numbers and Peterson Schubert Calculus2023
- Author(s)
  Horiguchi Tatsuya
- Journal Title
  
  International Mathematics Research Notices
  
  Volume: - Issue: 2 Pages: 1422-1471
- DOI
  10.1093/imrn/rnad030
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14508
[Journal Article] AN ADDITIVE BASIS FOR THE COHOMOLOGY RINGS OF REGULAR NILPOTENT HESSENBERG VARIETIES2022
- Author(s)
  ENOKIZONO MAKOTO、HORIGUCHI TATSUYA、NAGAOKA TAKAHIRO、TSUCHIYA AKIYOSHI
- Journal Title
  
  Transformation Groups
  
  Volume: - Issue: 2 Pages: 695-732
- DOI
  10.1007/s00031-022-09763-3
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14508, KAKENHI-PROJECT-22K13890
[Journal Article] A filtration on the cohomology rings of regular nilpotent Hessenberg varieties2021
- Author(s)
  Harada Megumi、Horiguchi Tatsuya、Murai Satoshi、Precup Martha、Tymoczko Julianna
- Journal Title
  
  Mathematische Zeitschrift
  
  Volume: 298 Pages: 1345-1382
- DOI
  10.1007/s00209-020-02646-x
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14508
[Journal Article] A survey of recent developments on Hessenberg varieties2019
- Author(s)
  Hiraku Abe and Tatsuya Horiguchi
- Journal Title
  
  the Proceedings volume of the conference in Schubert Calculus, Guangzhou, November 2017
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14508
[Presentation] Regular nilpotent partial Hessenberg varieties2024
- Author(s)
  堀口　達也
- Organizer
  TGTC Workshop 2024 in Himeji
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K12981
[Presentation] permutohedral variety の gamma vector の対称群の表現版2023
- Author(s)
  堀口　達也
- Organizer
  第5回ヘッセンバーグ勉強会2023
- Data Source
  KAKENHI-PROJECT-19K14508
[Presentation] Petersonの主張の量子化2023
- Author(s)
  堀口　達也
- Organizer
  鹿児島勉強会
- Data Source
  KAKENHI-PROJECT-19K14508
[Presentation] Intersections of Peterson variety and Schubert varieties, and hyperplane arrangements2022
- Author(s)
  堀口　達也
- Organizer
  第3回ヘッセンバーグ勉強会2022
- Invited
- Data Source
  KAKENHI-PROJECT-19K14508
[Presentation] Peterson多様体と巡回群2022
- Author(s)
  堀口　達也
- Organizer
  第4回ヘッセンバーグ勉強会2022
- Invited
- Data Source
  KAKENHI-PROJECT-19K14508
[Presentation] Mixed Eulerian numbers and Peterson Schubert calculus2022
- Author(s)
  堀口　達也
- Organizer
  RIMS共同研究: 変換群論の新潮流
- Invited
- Data Source
  KAKENHI-PROJECT-19K14508
[Presentation] Peterson多様体上のSchubert calculus2022
- Author(s)
  堀口　達也
- Organizer
  大阪市立大学談話会
- Invited
- Data Source
  KAKENHI-PROJECT-19K14508
[Presentation] 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2022
- Author(s)
  堀口　達也
- Organizer
  第48回変換群論シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-19K14508
[Presentation] Peterson Schubert calculusとmixed Eulerian numberとの関係2022
- Author(s)
  堀口　達也
- Organizer
  京大・九大・信州大合同トポロジーセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K14508
[Presentation] Peterson多様体とSchubert多様体の交わりについて2021
- Author(s)
  堀口　達也
- Organizer
  第2回ヘッセンバーグ勉強会2021
- Invited
- Data Source
  KAKENHI-PROJECT-19K14508
[Presentation] Hessenberg varieties and toric orbifolds2021
- Author(s)
  堀口　達也
- Organizer
  Toric Topology 2021 in Osaka
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14508
[Presentation] Mixed Eulerian numbers and Peterson Schubert calculus2021
- Author(s)
  堀口　達也
- Organizer
  ヘッセンバーグ勉強会2021
- Data Source
  KAKENHI-PROJECT-19K14508
[Presentation] Hessenberg多様体に纏わる話題2020
- Author(s)
  堀口　達也
- Organizer
  大阪市立大学談話会
- Invited
- Data Source
  KAKENHI-PROJECT-19K14508
[Presentation] A monomial basis for the cohomology rings of regular nilpotent Hessenberg varieties2020
- Author(s)
  堀口　達也
- Organizer
  2019-2020 Geometric Representation Theory Seminar
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14508
[Presentation] Topics on Hessenberg varieties2020
- Author(s)
  堀口　達也
- Organizer
  International seminar for young researchers "Algebraic, combinatorial and toric topology"
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14508
[Presentation] 正則な冪零ヘッセンバーグ多様体のコホモロジーのフィルトレーション2019
- Author(s)
  堀口　達也
- Organizer
  微分空間・トポロジーと組み合わせ構造
- Data Source
  KAKENHI-PROJECT-19K14508
[Presentation] A monomial basis for the cohomology rings of regular nilpotent Hessenberg varieties2019
- Author(s)
  堀口　達也
- Organizer
  Toric Topology 2019 in Okayama
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14508

Horiguchi Tatsuya 堀口 達也

堀口 達也 ホリグチ タツヤ

Research Projects

Research Products

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Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

ヘッセンバーグ多様体上のシューベルトカルキュラスPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] Toward cohomology rings of intersections of Peterson varieties and Richardson varieties2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Geometry of Peterson Schubert calculus in type A and left-right diagrams2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Mixed Eulerian Numbers and Peterson Schubert Calculus2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] AN ADDITIVE BASIS FOR THE COHOMOLOGY RINGS OF REGULAR NILPOTENT HESSENBERG VARIETIES2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A filtration on the cohomology rings of regular nilpotent Hessenberg varieties2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A survey of recent developments on Hessenberg varieties2019

Author(s)

Journal Title

Data Source

[Presentation] Regular nilpotent partial Hessenberg varieties2024

Author(s)

Organizer

Data Source

[Presentation] permutohedral variety の gamma vector の対称群の表現版2023

Author(s)

Organizer

Data Source

[Presentation] Petersonの主張の量子化2023

Author(s)

Organizer

Data Source

[Presentation] Intersections of Peterson variety and Schubert varieties, and hyperplane arrangements2022

Author(s)

Organizer

Data Source

[Presentation] Peterson多様体と巡回群2022

Author(s)

Organizer

Data Source

[Presentation] Mixed Eulerian numbers and Peterson Schubert calculus2022

Author(s)

Organizer

Data Source

[Presentation] Peterson多様体上のSchubert calculus2022

Author(s)

Organizer

Data Source

[Presentation] 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2022

Author(s)

Organizer

Data Source

[Presentation] Peterson Schubert calculusとmixed Eulerian numberとの関係2022

Author(s)

Organizer

Horiguchi Tatsuya 堀口達也

堀口達也ホリグチタツヤ