Galaxy-galaxy lensing profiles are cross-correlations between shape distortions of remote galaxies and the presence of intermediate foreground objects, galaxies and their halos, along the line-of-sight. Given by the field equations of general relativity, these cross-correlations reveal the mass of the foreground sample, allowing us to investigate the relation between galaxy properties, such as stellar mass and color, and the mass and shape of the host halos. On larger scales, galaxy-galaxy lensing with additional clustering information yields an almost model-independent toolkit to explore the bias of visible tracers with respect to the overall matter distribution. The signal is present in the linear, weakly nonlinear and nonlinear regime which makes it an interesting testing ground to investigate the validity of different analytical theories of structure growth. To quantify the small-scale physics impact on large-scale structure observables in upcoming surveys, extensive (and expensive) simulations must be run. By matching the variance of the linear matter field over different smoothing scales and redshifts in simulated fiducial and target ΛCDM cosmologies, we identify sets of rescaling parameters which determine an accurate mapping between the two. With this improved fast and flexible algorithm, percent to subpercent-level agreement can be reached for the halo mass function and tangential shear profiles with respect to direct N-body simulations. This will reduce the required number of simulations for future surveys. Malin will show how the residual bias affects the concentration-mass-redshift relation in 2D and 3D and that the observed offsets can be predicted from the collapsed mass history of halos, which has been found to be a potent description in both cold and mildly warm dark models, given by excursion set theory (extended Press-Schechter). Moreover, she will discuss how these profiles can constrain MCMC samplings of galaxy evolution parameters in semi-analytical models in the L-Galaxies suite to probe the connection to cosmology. Specifically, Malin will demonstrate how we can add observational input with foreground lenses from the GAMA galaxy survey and background source galaxies taken from lensing catalogues from the Kilo-Degree Survey (KiDS) interpreted via halo occupation distribution models.