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I am interested in algebraic topology, especially in higher homotopy structures. In algebraic topology, the phenomena invariant under various deformations in geometry or algebra are studied. Among them, I study a higher homotopy structure called A-infinity structure. The phenomena related to A-infinity structure can be found not only in pure algebraic topology but also in various geometric or algebraic objects. I hope to study and clarify such phenomena for Lie groups or for many other kinds of objects.