We am interested in topology of plane curves. It is related with its singularities and loction of singular points. We use several topological invariants to compare given plane curves. There are impotant class of plane curves which is called torus curves. They play important role to study topologies. We use this class for several interesting curves.

We are interested in singularities of smooth maps form R^2n to R^2. In particular, it is important to study existence of real Milnor fibrations. There were breakthrough studying it using mixed functions which were introduced by Ruas, Seade, Verjovsky and Oka.
After these work, many examples of pairs which give real Milnor fibrations have been investigated.