I am mainly interested in stochastic analysis, especially, in infinite dimensional stochastic differential equations driven by several different noises, like white noise and Levy type noise. Infinite dimensional stochastic differential equations are, roughly speaking, infinite dimensional deterministic differential equations containing some random terms, which are motivated by internal development of analysis and theory of stochastic processes on one side, and by applications to describing the random phenomena studied in natural sciences on the other hand. Such equations are key ingredients of mathematical modeling in numerous fields like population genetics, quantum fields, statistical physics, neurophysiology and oceanography. In fact, all kinds of dynamics with stochastic influence in nature or man-made complex systems can be described by such equations. I mainly investigated stochastic heat equations, stochastic wave equations and stochastic Burgers equations driven by continuous and discontinuous noises in the past.