Rational Points on Modular Elliptic Curves

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Elliptic units for real quadratic fields (2006, background): “This map is compatible with the natural PGL2(Qp)-actions on both source and target, and its definition and main properties can be found, for example, in Chapter 5 of [ Dar2 ].”
Hida families and rational points on elliptic curves (2007, methodology): “of [Da], we define the Coleman line integral attached to ωφ by the rule”
Explicit Methods for Hilbert Modular Forms (2010, methodology): “For a more detailed introduction to modular forms, see the books by Darmon [11] and Diamond and Shurman [19], and for more information on computational aspects see Cremona [9], Kilford [40], Stein [64], and the many references contained therein.”
STARK-HEEGNER POINTS AND THE COHOMOLOGY OF QUATERNIONIC SHIMURA VARIETIES (2009, background): “Let V and E denote the sets of vertices and directed edges of the Bruhat-Tits tree T of G, respectively (see [ 6, Chapter 5 ]).”
The subconvexity problem for Rankin–Selberg L-functions and equidistribution of Heegner points. II (2006, methodology): “For more background on Shimura curves and Heegner points, we refer to [BD96, Da04 ,Z02,Z04].”