I will talk about our findings on the theory of ultrafast and ultrastrong optical field interacting with two-dimensional materials with an emphasis on honeycomb-shaped structures such as graphene. In fact, this talk is the emergence of two important and growing branches of science: ultrafast optics and 2D nanocrystals. Ultrafast optics or more specifically, attosecond science, is developed to study the quantum mechanical dynamics of electrons, both collective and individual, on atomic and molecular scales and in high-density mesoscopic systems. Recent advances in attosecond metrology and generation of ultrashort optical pulses with just a few oscillations of the electric field have provided real-time access to the motion of electrons on atomic and sub-atomic scales and opened a unique possibility for the coherent control of electron dynamics at sub-femtosecond time scale. Hence, the research and exploration of ultrafast dynamics of electrons in novel graphene-like materials under the illumination of few-cycle optical fields should prove useful to a growing community of scientists and hold promises for the future technologies especially high-speed memories, ultrafast imaging, and petahertz signal processing.