visible light frequencies, corresponding to interband transitions leading to electron-hole pair generation. [5,6,12] In the case of doped graphene, that is, graphene containing a certain concentration of free electrons or holes, Drude-like conductivity was observed at far-infrared and terahertz (THz) frequencies, corresponding to intraband free-carrier absorption. [8,9,[12][13][14][15] Further, theoretical studies predicted strong nonlinear interaction of graphene with intense light fields, in particular at the technologically important THz frequencies (typically, in the range 0.1-10 THz), [16][17][18][19][20][21][22][23][24][25] as originating from both interband and intraband electron dynamics. These predictions were inspired by the unique band structure of graphene: absence of a bandgap and linear energy-momentum dispersion for its electrons. [2,3,[26][27][28] A plethora of strong nonlinear effects in graphene in the IR and optical frequency ranges, originating from interband electron dynamics, was successfully demonstrated, including saturable absorption and nonlinear refraction, [29][30][31][32][33][34][35][36][37][38][39] higherharmonic generation, [40][41][42][43][44][45][46][47] and wave-mixing processes [48][49][50] (see also reviews [51][52][53] ). At THz frequencies, however, until recently only saturable absorption effects in doped graphene, [54][55][56][57][58][59][60][61] and induced multiphoton-like absorption in multilayer near-intrinsic graphene were successfully demonstrated. [62] At the same time, the observation of the long sought-after effect of THz higher-order harmonics generation, Graphene has long been predicted to show exceptional nonlinear optical properties, especially in the technologically important terahertz (THz) frequency range. Recent experiments have shown that this atomically thin material indeed exhibits possibly the largest nonlinear coefficients of any material known to date, paving the way for practical graphene-based applications in ultrafast (opto-)electronics operating at THz rates. Here the advances in the booming field of nonlinear THz optics of graphene are reported, and the state-of-the-art understanding of the nature of the nonlinear interaction of graphene with the THz fields based on the thermodynamic model of electron transport in graphene is described. A comparison between different mechanisms of nonlinear interaction of graphene with light fields in THz, infrared, and visible frequency ranges is also provided. Finally, the perspectives for the expected technological applications of graphene based on its extraordinary THz nonlinear properties are summarized. This report covers the evolution of the field of THz nonlinear optics of graphene from the very pioneering to the state-of-the-art works. It also serves as a concise overview of the current understanding of THz nonlinear optics of graphene and as a compact reference for researchers entering the field, as well as for the technology developers.