معرفی
Satoshi Murai is a Professor at the Faculty of Education and Integrated Arts and Sciences, Waseda University, since 2019. His research spans Commutative Algebra, Algebraic Combinatorics, and Combinatorial Topology, with a focus on the interplay between algebraic structures and combinatorial objects like simplicial complexes, polytopes, and graph theory. He has held previous positions at Osaka University (2014–2019) and Yamaguchi University (2009–2014).
His work often involves Hilbert functions, Betti numbers, and Lefschetz properties, particularly in the context of Stanley-Reisner rings and Hessenberg varieties. Notably, his research connects algebraic invariants to geometric and topological properties of manifolds and pseudomanifolds. He has published extensively in top-tier journals, including Acta Mathematica, Journal of Algebraic Combinatorics, and Advances in Mathematics.
- Recent trends in his publications include studies on equivariant Hochster formulas, balanced neighborly polynomials, and log-concavity in matroid polynomials.
- He received the Mathematical Society of Japan Takebe Masahiro Encouragement Award in 2008.
- As an editor-in-chief for Algebraic Combinatorics since 2018, he contributes to the peer-review process.
- His research is funded by Japan Society for the Promotion of Science (JSPS) grants for projects on algebraic and combinatorial structures (2016–2020, 2021–2025).
- Murai is a member of the Mathematical Society of Japan and has presented at major conferences like Formal Power Series and Algebraic Combinatorics (FPSAC) and Algebra Symposium.
