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We present a forecast analysis on the feasibility of measuring thecosmological parameters with a large number of galaxy-galaxy scale stronggravitational lensing systems. Future wide area surveys are expected todiscover and measure the properties of more than 10 000 strong lensing systems.We develop a hierarchical model that can simultaneously constrain the lenspopulation and cosmological parameters by combining Einstein radiusmeasurements with stellar dynamical mass estimates for every lens.Marginalizing over the lens density profiles and stellar orbital anisotropies,we find that $w$ can be constrained to a precision of $0.11$ with 10 000galaxy-galaxy lens systems, which would be better than any existingsingle-probe constraint. We test our method on 161 existing lenses, finding$w=-0.96\pm0.46$. We also show how to mitigate against the potential systematicof redshift evolution in the mean lens density profile of the population.

Cosmology from Large Populations of Galaxy-Galaxy Strong Gravitational Lenses