My research area is Commutative Algebra. I enjoy looking at algebraic invariants via combinatorial properties. A simplicial complex is an important combinatorial tool for studying properties of squarefree monomial ideals. In the work with my collaborators, we try to characterize some algebraic properties of an ideal in terms of a simplicial complex associated with the ideal. Some themes include the Lefschetz properties of Artinian algebras, linear resolution and Castelnuovo-Mumford regularity of squarefree monomial ideals, vertex decomposability of simplicial complex.