Neutrino interactions, though feeble, are tremendously important for particle physics and astrophysics. In particle physics, neutrino scattering experiments allow for unique and precise tests of the Standard Model and the structure of nucleons. In astrophysics, neutrino telescopes provide a window into parts unknown. Still, above ∼TeV there has been, up to now, no direct experimental information on neutrino interactions; calculations rely on extrapolations from lower energies. Now, for the first time, we are able to make direct measurements of the neutrino-nucleon cross section above the TeV scale, thanks to the recent discovery, by IceCube, of high-energy astrophysical neutrinos. Doing this puts to test existing cross-section calculations and probes for the presence of physics beyond the Standard Model at these new energies. In this talk, I will show preliminary results on the new cross-section measurements.