This paper describes measurements of cosmic shear from a 2 square degree Hubble Space Telescope survey, combined with photometric redshifts of the lensed galaxies. The addition of photometric redshifts allowed the authors to produce a three dimensional reconstruction of the mass structures in the field. (A)

This paper presents results from a combination of 4 blank-field surveys to achieve a 100 square degree total area, and contains a good discussion on how errors in Point Spread Function correction and background galaxy selection can propagate through to the cosmic-shear measurement. (A)

This paper presents results from a combination of 4 blank-field surveys to achieve a 100 square degree total area, and contains a good discussion on how errors in Point Spread Function correction and background galaxy selection can propagate through to the cosmic-shear measurement. (A)

This paper presents results from the first analysis of a data set large enough to place significant constraints on the equation of state of dark energy. It includes a good discussion of how the constraints are measured and how systematic errors in the data can affect the results. (A)

This paper introduces a maximum likelihood algorithm for weak lensing mass reconstruction using a particle based method instead of the more conventional grid based method (A).

This paper presents a maximum likelihood method for performing mass reconstructions using both weak and strong lensing data (A).

This paper presents a method of doing a weak lensing mass reconstruction using a maximum entropy algorithm (A).

This review summarizes the first decade of development of weak lensing, tying together the mathematical basis for how lensing works with qualitative descriptions of early results from the field. While some of the specific details of how various aspects of the weak-lensing signal are measured and modeled have changed in the intervening 13 years, this article is still an excellent starting point for someone wanting to the learn the basics of how weak lensing works in practice. (I, A)

This review contains an extremely in-depth discussion of the basics of weak gravitational lensing, with full mathematical derivations of all of the concepts known as of 2000. This review is an excellent starting point for a graduate student wanting to learn the details of weak lensing observations and theory. This review allows us to limit the number of introductory papers in the following sections and concentrate on papers giving more recent developments in the field (A).

A good summary of the methodology of weak lensing circa 2007, including much of the math often left out of other reviews (A).

A good qualitative summary of the methodology and results of weak lensing circa 2007, and is a good resource for a student wanting to learn about what weak lensing can tell us about cosmology without having to understand all of the math behind the models (I, A).