Matsumura Tomoo 松村朝雄

Researcher Number	80755223
Other IDs
Affiliation (Current)	2025: 国際基督教大学, 教養学部, 准教授
Affiliation (based on the past Project Information) *help	2020 – 2024: 国際基督教大学, 教養学部, 准教授 2016 – 2021: 岡山理科大学, 理学部, 講師
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related / Algebra Except Principal Investigator Basic Section 11020:Geometry-related / Basic Section 11010:Algebra-related
Keywords	Principal Investigator Lascoux多項式 / key多項式 / シューベルトカルキュラス / Monk's formula / flagged Q functions / shifted marked tableaux / Pieri-Chevalley則 / Key多項式 / flagged Schur Q function / shifted marked tableau … More / vexillary / Schubert polynomial / hyperoctohedral群 / 対称群 / permutahedron / 旗付きグロタンディック多項式 / 旗付きシュアー多項式 / シューベルト計算 / Schur多項式 / タブロー公式 / 代数的コボルディズム / algebraic cobordism / Bott-Samelson類 / 行列式公式 / Grothendieck多項式 / K理論 / シューベルト類 / 同変コホモロジー / Q関数 / flagged tableaux / ラグランジアン・グラスマン多様体 / flagged Grothendieck多項式 / グラスマン多様体 / 旗多様体 / グロタンディック多項式 / シュアー多項式 / シューベルト多項式 … More Except Principal Investigator 応用代数幾何学 / 数え上げ幾何学 / 代数的コボルディズム / 特性類理論 / 特異点論 / 可積分系 / アフィングラスマン多様体 / ピーターソン同型 / シューベルト類 / K-Peterson 同型 / Grothendieck 多項式 / シューベルト・カルキュラス / 量子K理論 / グラスマン多様体 / 量子 K 理論 / シューベルト多様体 / ヴェクシラリ / ヒルベルト・サミュエル重複度 / Peterson 同型 / アフィン・グラスマン多様体 / 量子 K 環 Less

２１世紀のヒルベルト第１５問題―深化と展望
- Principal Investigator
  
  大本亨
- Project Period (FY)
  2023 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Waseda University
アイソトロピック・グラスマン多様体のシューベルトカルキュラスPrincipal Investigator
- Principal Investigator
  
  松村朝雄
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  International Christian University
Schubert calculus in quantum K theory
- Principal Investigator
  
  Ikeda Takeshi
- Project Period (FY)
  2018 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Waseda University
  Okayama University of Science
K-theoretic Schubert Calculus for GrassmanniansPrincipal Investigator
- Principal Investigator
  
  Matsumura Tomoo
- Project Period (FY)
  2016 – 2020
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  International Christian University
  Okayama University of Science

All 2023 2021 2020 2019 2018 2017

All Journal Article Presentation

[Journal Article] A Tableau Formula for Vexillary Schubert Polynomials in Type C2023
- Author(s)
  Tomoo Matsumura
- Journal Title
  
  The electric Journal of Combinatorics
  
  Volume: 30 Issue: 1 Pages: 1-28
- DOI
  10.37236/11091
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03571
[Journal Article] Double Grothendieck polynomials for Symplectic and Odd Orthogonal Grassmannians2020
- Author(s)
  Hudson Thomas、Ikeda Takeshi、Matsumura Tomoo、Naruse Hiroshi
- Journal Title
  
  Journal of Algebra
  
  Volume: 546 Pages: 294-314
- DOI
  10.1016/j.jalgebra.2019.11.002
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05057, KAKENHI-PROJECT-16K17584, KAKENHI-PROJECT-16H03921, KAKENHI-PROJECT-17H02838
[Journal Article] Double Grothendieck Polynomials for Symplectic and Odd Orthogonal Grassmannians2020
- Author(s)
  T. Hudson, T. Ikeda, H. Naruse, T. Matsumura
- Journal Title
  
  Journal of Algebra
  
  Volume: 546 Pages: 294-314
- Data Source
  KAKENHI-PROJECT-18K03261
[Journal Article] Flagged Grothendieck Polynomials2019
- Author(s)
  Tomoo Matsumura
- Journal Title
  
  Journal of Algebraic combinatorics
  
  Volume: 49 Issue: 3 Pages: 209-228
- DOI
  10.1007/s10801-018-0841-3
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17584
[Journal Article] Vexillary degeneracy loci classes in K-theory and algebraic cobordism2018
- Author(s)
  Hudson Thomas、Matsumura Tomoo
- Journal Title
  
  European Journal of Combinatorics
  
  Volume: 70 Pages: 190-201
- DOI
  10.1016/j.ejc.2018.01.001
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17584
[Journal Article] Kempf-Laksov Schubert classes for even infinitesimal cohomology theories,2018
- Author(s)
  Thomas Hudson, Tomoo Matsumura
- Journal Title
  
  Schubert Varieties, Equivariant cohomology and Characteristic classes, IMPANGA15
  
  Volume: 1 Pages: 127-151
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17584
[Journal Article] An algebraic proof of determinant formulas of Grothendieck polynomials2017
- Author(s)
  Tomoo Matsumura
- Journal Title
  
  Proc. Japan Acad. Ser. A Math. Sci.
  
  Volume: 93 Pages: 82-85
- NAID
  40021371450
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17584
[Journal Article] Degeneracy loci classes in K -theory ? determinantal and Pfaffian formula2017
- Author(s)
  Hudson Thomas、Ikeda Takeshi、Matsumura Tomoo、Naruse Hiroshi
- Journal Title
  
  Advances in Mathematics
  
  Volume: 320 Pages: 115-156
- DOI
  10.1016/j.aim.2017.08.038
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17584, KAKENHI-PROJECT-16H03921, KAKENHI-PROJECT-17H02838
[Presentation] Stability of Schubert varieties and Bott-Samelson resolutions2021
- Author(s)
  Matsumura, Tomoo
- Organizer
  Toric Topology 2021 in Osaka
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17584
[Presentation] A tableau formula of the double Grothendieck polynomials associated to 321 avoiding permutations2018
- Author(s)
  Tomoo Matsumura
- Organizer
  2018年度秋季総合分科会(於:岡山大学)
- Data Source
  KAKENHI-PROJECT-16K17584
[Presentation] 旗多様体のK理論における321-avoiding置換のシューベルト類の公式について2018
- Author(s)
  Tomoo Matsumura
- Organizer
  AlgebraicLie Theory and Representation Theory 2018
- Invited
- Data Source
  KAKENHI-PROJECT-16K17584
[Presentation] 旗多様体の K 理論における 321-avoiding 置換のシューベルト類の公式について2018
- Author(s)
  Tomoo Matsumura
- Organizer
  RIMS 研究集会「変換群論における幾何・代数・組み合わせ論」
- Invited
- Data Source
  KAKENHI-PROJECT-16K17584
[Presentation] Degeneracy loci and Hessenberg varieties2018
- Author(s)
  Tomoo Matsumura
- Organizer
  Hessenberg varieties 2018 in Osaka
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17584
[Presentation] Determinant formulas in Schubert calculus2017
- Author(s)
  Tomoo Matsumura
- Organizer
  International Festival in Schubert Calculus
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17584

1. Ikeda Takeshi (40309539)

# of Collaborated Projects: 3 results

# of Collaborated Products: 1 results
2. 大本亨 (20264400)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. 諏訪立雄 (40109418)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. 與倉昭治 (60182680)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Matsumura Tomoo 松村 朝雄

Research Projects

Research Products

Co-Researchers

２１世紀のヒルベルト第１５問題―深化と展望

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

アイソトロピック・グラスマン多様体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

Schubert calculus in quantum K theory

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

K-theoretic Schubert Calculus for GrassmanniansPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] A Tableau Formula for Vexillary Schubert Polynomials in Type C2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Double Grothendieck polynomials for Symplectic and Odd Orthogonal Grassmannians2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Double Grothendieck Polynomials for Symplectic and Odd Orthogonal Grassmannians2020

Author(s)

Journal Title

Data Source

[Journal Article] Flagged Grothendieck Polynomials2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Vexillary degeneracy loci classes in K-theory and algebraic cobordism2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Kempf-Laksov Schubert classes for even infinitesimal cohomology theories,2018

Author(s)

Journal Title

Data Source

[Journal Article] An algebraic proof of determinant formulas of Grothendieck polynomials2017

Author(s)

Journal Title

NAID

Data Source

[Journal Article] Degeneracy loci classes in K -theory ? determinantal and Pfaffian formula2017

Author(s)

Journal Title

DOI

Data Source

[Presentation] Stability of Schubert varieties and Bott-Samelson resolutions2021

Author(s)

Organizer

Data Source

[Presentation] A tableau formula of the double Grothendieck polynomials associated to 321 avoiding permutations2018

Author(s)

Organizer

Data Source

[Presentation] 旗多様体のK理論における321-avoiding置換のシューベルト類の公式について2018

Author(s)

Organizer

Data Source

[Presentation] 旗多様体の K 理論における 321-avoiding 置換のシューベルト類の公式について2018

Author(s)

Matsumura Tomoo 松村朝雄