The continuous developments of optical clocks and the long-distance links via fibers, especially within TerraQ, will give access to terrestrial clock networks in practice, which will enable the novel measurement concept of chronometric levelling. From a theoretical perspective, this project will elaborate the rigorous relativistic formalism for clock-based geodesy and assess the effects of approximations in different scenarios. Furthermore, this project will figure out the most promising applications for clock networks in geodesy and fundamental physics.