I study combinatorial object from the point of view of bijective combinatorics, i.e., enumerative combinatorics. In particular, I am interested in combinatorial objects appearing in theory of representation and algebra. For example, the lattice of Young diagrams, which play important rolls to describe symmetric function, irreducible representations, and so on, is one of most important objects. Moreover, I am also interested in combinatorial structures appearing in computational algebraic statistics, algebraic topological data analysis, and so on.