Murai Satoshi

Affiliation and department：
Homepage URL (1)： https://s-murai.w.waseda.jp/en.html

Research field (3)： Applied mathematics and statistics , Basic mathematics , Algebra

Research keywords (3)： Combinatorial Topology , Commutative Algebra , Algebraic Combinatorics

Research theme for competitive and other funds (6)：

2021 - 2025 可換環論・数え上げ組合せ論・組合せトポロジーの間の相互関係の研究
2016 - 2020 Triangulations of polytopes and manifolds with nice coloring structure
2013 - 2016 Face enumeration of convex polytopes and cell complexes
2010 - 2014 A ring theoretic approach to face numbers of triangulated manifolds
2009 - 2009 Algebraic shiftingとg-予想に関する研究

Show all

Papers (65)：

Satoshi Murai, Claudiu Raicu. An equivariant Hochster's formula for Sn-invariant monomial ideals. Journal of the London Mathematical Society. 2022. 105. 3. 1974-2010
Satoshi Murai, Hidefumi Ohsugi, Kohji Yanagawa. A note on the reducedness and Gröbner bases of Specht ideals. Communications in Algebra. 2022. 50. 12. 5430-5434
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
Satoshi Murai, Takahiro Nagaoka, Akiko Yazawa. Strictness of the log-concavity of generating polynomials of matroids. Journal of Combinatorial Theory. Series A. 2021. 181
Satoshi Murai. Betti tables of monomial ideals fixed by permutations of the variables. Transactions of the American Mathematical Society. 2020. 373. 10. 7087-7107

ｍore...

Lectures and oral presentations (5)：

多様体の単体分割の持つ組合せ論的・代数的対称性
(2017年度日本数学会秋季総合分科会特別講演 2017)
凸多面体の面の数え上げ論の近況
(2017年度日本数学会年会応用数学分科会特別セッション「凸多面体の数え上げ論の近況」 2017)
多様体の単体分割の組合せ論と代数
(第63回トポロジーシンポジウム 2016)
多様体の三角形分割の組合せ論と可換代数,
(第60回代数学シンポジウム 2015)
単体的セル複体の面の数え上げの話
(第56回代数学シンポジウム 2011)

Work history (5)：

2019/04 - 現在 Waseda University Faculty of Education and Integrated Arts and Sciences
2018/04 - 2019/03 Waseda University Faculty of Education and Integrated Arts and Sciences
2014/04 - 2018/03 Osaka University Graduate School of Information Science and Technology
2013/10 - 2014/03 Yamaguchi University of Science and Engineering, Graduate School
2009/10 - 2013/09 Yamaguchi University of Science and Engineering, Graduate School

Committee career (1)：

Awards (1)：

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