Satoshi Murai

Professor Department of Mathematics Faculty of Education Waseda University 1-6-1 Nishi-Waseda, Shinjuku, Tokyo 169-8050, Japan E-mai: s-murai [A T] waseda.jp

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Slides for Combinatorial Structures in Geometric Topology


Research

My research area is  Combinatorics and Combinatorial Commutative Algebra. In particular, I am interested in

face numbers of polytopes and simplicial complexes, triangulated manifolds, cd-index, algebraic shifting, Stanley-Reisner rings, Hilbert functions, Lefschetz properties, generic initial ideals, monomial resolutions, lex ideals, etc.

Papers
Talks


I'm an editor for Algebraic Combinatorics.


Meetings

The 37th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC'25)
Sapporo, July 21-25, 2025.

New perspectives of coinvariant rings from viewpoints of geometry and algebraic combinatorics
Kyoto, July 14-18, 2025.

Superspace coinvariants, hyperplane arrangements and Hessenberg varieties
Tokyo, September 29, 2024. (Finished!)

One day workshop on Commutative Algebra
Tokyo, Feb 6, 2023. (Finished!)

The Japanese Conference on Combinatorics and its Applications in Sendai (JCCA 2018)
Sendai, May 20 -- May 24, 2018. (Finished!)

The Japanese Conference on Combinatorics and its Applications (JCCA 2016)
Kyoto, May 21 -- May 25, 2016. (Finished!)

The 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC'14)
Chicago, June 29 -- July 3, 2014. (Finished!)

Japan Conference on Graph Theory and Combinatorics
Tokyo, Japan, May 17 -- 21, 2014 (Finished!)

The 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC'12)
Nagoya, Japan, July 30 -- August 3, 2012. (Finished!)