Structured light, with ability to arbitrarily tailor degrees of freedom (DoFs) of light, amplitude, phase, wavelength, etc, has recently attracted great promotion for fundamental science and advanced applications. In addition to the basic DoFs in light, there are also some complex DoFs emerged as the combination of common DoFs, such as angular momentum, vector singularity, ray-wave trajectory, spatiotemporal vortex, etc., showing their power in optical manipulation. In this talk, I summarize the advanced methods of manipulating tunable DoFs and creating new DoFs in structured light, as a roadmap guiding the development of multi-dimensional structured light. We also discuss the significance of the multi- DoF control in both fundamental physics and novel applications.
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