List of faculty
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YAZAWA, Akiko( YAZAWA, Akiko ) / Assistant Professor

Faculty , Department

Institute of Mathematics for Industry : Fundamental Mathematics

Keywords

commutative algebra, combinatorics, graph theory

I study combinatorial commutative algebra. In particular, I study the strong Lefschetz property, which is a ring abstraction of the hard Lefschetz theorem, and matroids, which are a generalization of linear independence of vector spaces and a conception of cycles in graphs. I wrote papers on the strong Lefschetz property for the algebras defined by matroids. Now, I am interested in the Lorentzian manifolds defined by matroids.