a common task in many data-driven applications is to find a low dimensional manifold that describes the data accurately. estimating a manifold from noisy samples has proven to be a challenging task. indeed, even after decades of research, there is no (computationally tractable) algorithm that accurately estimates a manifold from noisy samples with a constant level of noise. in this talk, we will present a method that estimates a manifold and its tangent in the ambient space. moreover, we establish rigorous convergence rates, which are essentially as good as existing convergence rates for function estimation. this is a joint work with barak sober.